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 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 4 4 4 6 6 6 6 5 4 5 5 5 5 4 4 4 3 3 4 2 1 1 1 1 1 1 1 2 2 2 3 3 3 3 2 3 3 3 3 2 1 1 1 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 3 4 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 5 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 5 5 6 6 5 4 4 4 4 5 5 5 6 6 7 7 7 6 7 7 6 5 4 4 4 3 4 8 9 5 3 4 4 3 6 13 17 15 9 1 1 10 8 1 8 8 6 5 6 3 1 1 1 1 0 -1 -0 3 3 2 2 3 4 3 0 -1 3 6 6 4 2 1 0 1 3 5 5 5 5 5 4 5 10 12 6 3 5 6 7 6 4 3 6 16 31 37 28 16 7 4 3 3 3 3 3 2 2 2 3 4 5 7 9 11 11 10 8 6 5 4 3 3 3 3 3 3 2 2 3 3 3 2 2 1 1 1 1 2 2 3 3 3 7 15 15 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 2 3 4 4 5 5 4 3 3 3 3 3 4 4 4 4 5 5 5 4 4 3 3 4 8 10 8 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 4 4 4 3 3 4 4 3 3 3 3 3 3 2 4 6 5 6 6 2 1 4 5 2 2 2 1 2 1 4 8 9 5 4 8 8 4 -5 -19 -27 -28 -23 -17 -9 -1 4 4 4 4 5 6 7 10 12 7 3 4 4 4 4 4 4 5 8 7 6 8 8 6 6 7 7 5 3 1 2 3 4 5 6 6 7 7 7 6 5 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 nan nan nan nan nan nan 3 4 4 4 3 4 5 6 6 6 5 5 5 5 6 6 5 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 4 4 4 4 5 6 6 7 7 7 7 7 6 6 6 5 3 3 3 4 4 10 14 10 8 9 10 5 6 13 16 12 5 -1 -3 1 2 3 7 5 4 -1 -2 1 3 3 3 2 0 -1 -0 3 4 2 1 2 3 5 6 5 3 3 3 2 1 1 1 -1 -0 2 5 5 7 9 6 6 9 8 4 4 6 9 12 11 8 7 13 27 36 32 20 10 4 4 3 3 3 3 3 3 2 3 3 4 6 7 9 11 11 9 7 6 5 4 3 3 3 3 3 4 3 3 3 3 3 2 2 1 1 1 1 1 2 2 3 3 5 14 18 13 6 5 5 5 5 6 7 7 6 5 5 5 5 5 5 5 5 5 5 4 2 -0 1 2 2 3 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 3 2 3 7 11 10 6 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 4 5 5 4 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 -2 -5 -3 4 10 10 8 9 5 7 8 7 7 8 7 5 8 11 11 6 -1 -6 -8 -9 -8 -10 -9 -3 3 4 3 3 3 4 4 6 8 5 3 4 5 4 4 4 4 4 5 5 6 6 6 5 5 6 6 5 3 2 3 4 5 6 7 8 9 9 9 6 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 4 4 5 5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 5 4 4 4 4 4 5 6 7 8 8 7 6 6 5 5 4 3 3 3 4 7 12 12 11 12 12 7 0 3 10 12 7 4 2 -4 -6 -1 7 5 0 2 1 0 2 2 2 2 3 2 1 3 5 5 2 1 2 3 4 5 5 5 2 -1 -2 -1 2 3 1 -1 1 6 8 8 8 10 10 6 2 1 2 6 10 14 14 12 13 20 28 28 22 12 6 4 4 4 4 3 3 3 3 2 3 3 5 5 7 9 11 10 8 7 5 5 4 3 3 3 3 4 4 4 4 3 3 3 2 1 1 1 1 1 1 1 2 3 4 4 20 30 17 6 5 5 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 3 0 -1 -1 -1 -2 -1 2 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 4 3 3 6 9 10 7 5 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 6 6 6 7 6 6 5 5 5 5 4 4 4 4 3 3 2 2 2 1 1 1 1 1 1 0 0 1 1 1 2 1 0 -5 -11 -13 -4 6 9 8 8 7 8 10 11 10 7 5 3 8 12 12 8 4 5 5 3 1 -2 -2 1 4 4 3 2 3 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 6 6 6 6 6 6 5 5 4 2 2 3 4 6 7 9 10 11 10 7 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 4 5 6 7 7 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 4 3 3 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 6 5 4 4 4 3 4 5 6 7 8 8 7 6 6 5 4 3 3 3 2 1 -2 -1 2 8 10 8 3 -2 3 10 7 5 7 7 1 -3 1 6 1 0 3 5 7 6 4 3 2 4 5 7 10 9 6 4 2 2 2 2 3 3 4 3 -0 -2 -1 1 5 6 3 3 4 7 7 8 15 16 7 4 4 3 6 12 14 15 16 20 24 23 18 12 7 4 4 4 4 4 4 2 2 3 3 3 3 5 6 7 9 10 10 7 6 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 1 0 1 1 3 4 5 6 26 36 16 5 5 6 6 6 6 6 5 6 5 6 6 5 5 5 5 4 5 5 4 4 3 -1 -2 -2 -4 -3 -0 2 3 4 4 3 3 3 3 3 4 4 4 5 5 6 5 4 4 5 8 8 7 5 4 4 4 3 4 4 4 4 5 4 4 4 4 5 5 6 6 6 6 7 6 6 5 5 5 4 4 4 3 3 2 2 1 1 2 1 0 -0 -0 -1 -1 -1 -1 0 2 1 0 0 -0 -6 -11 -9 -0 5 6 5 5 6 8 11 13 10 5 4 6 10 13 12 8 4 1 2 3 5 6 7 6 6 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 2 1 2 4 5 7 9 11 11 10 8 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 6 6 6 6 6 6 6 5 4 4 3 3 3 4 4 4 4 3 4 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 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 4 4 3 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 3 3 4 4 3 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 7 8 8 9 10 11 11 12 12 11 11 11 11 9 8 8 8 7 7 5 4 4 4 3 4 4 5 6 7 8 7 6 5 4 4 3 3 2 1 -4 -15 -22 -9 6 6 5 6 3 0 5 4 6 8 7 5 3 3 3 2 3 5 7 8 6 6 6 4 7 8 8 12 11 8 5 3 3 2 2 2 3 4 3 2 2 4 4 5 7 7 5 0 2 6 9 14 14 11 9 8 8 10 13 15 18 20 22 21 17 10 6 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 6 9 10 9 7 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 0 0 2 4 5 6 9 26 33 17 7 5 5 6 6 6 5 6 6 6 6 5 6 5 5 5 6 5 4 4 4 4 1 -3 -2 5 6 3 3 3 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 4 6 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 6 6 6 6 7 6 6 5 5 5 4 4 3 3 2 2 2 2 2 2 1 1 -0 -1 -1 -3 -3 -1 2 4 3 2 5 5 1 -3 -1 3 5 5 4 5 5 8 14 15 11 8 5 7 13 15 11 3 1 5 9 12 10 8 7 9 11 10 6 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 5 4 2 2 2 3 5 7 10 11 12 11 8 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 nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 3 2 3 3 3 3 3 3 4 5 6 7 7 7 6 6 5 5 6 6 6 6 5 4 3 3 4 4 5 4 4 4 4 3 3 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 4 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 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 7 8 9 10 11 11 12 12 12 12 12 11 10 10 9 8 8 7 6 5 4 3 3 3 4 4 5 6 7 8 7 5 4 4 3 3 3 1 -2 -9 -10 -1 1 -3 2 7 1 -10 -6 5 9 8 6 6 4 4 4 4 4 4 5 6 7 7 6 6 9 10 7 8 9 7 5 4 5 7 6 5 6 6 5 5 7 10 9 6 4 7 9 1 -1 8 12 11 10 10 11 9 10 13 15 17 19 20 17 13 9 7 6 5 4 4 4 4 4 3 3 3 3 4 4 4 5 6 7 10 10 9 7 5 4 3 3 4 4 4 4 4 5 5 4 3 3 3 3 3 2 2 1 0 1 3 4 6 7 11 28 38 22 8 5 5 6 5 5 6 6 6 6 6 5 5 5 6 5 6 5 5 4 5 5 3 -1 -2 6 11 7 4 3 4 5 4 3 3 3 3 3 3 4 4 4 5 5 5 4 5 5 5 5 5 4 4 3 3 2 2 2 2 2 3 4 4 4 5 5 5 5 6 6 6 7 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 1 0 -1 -2 -3 -1 4 9 9 9 12 11 8 4 2 3 4 4 4 5 4 3 7 12 13 11 6 6 11 12 10 7 8 10 12 12 10 8 8 11 16 16 9 3 2 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 7 6 5 4 3 3 3 4 7 11 14 13 12 10 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 4 3 3 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 8 10 11 11 11 11 12 13 13 13 12 11 10 10 9 8 7 6 6 5 3 3 3 3 3 4 5 7 7 7 5 5 4 4 4 3 2 1 2 8 14 7 -4 -5 -2 -10 -16 -7 8 10 7 5 5 5 5 5 4 4 4 4 4 6 6 6 6 8 9 8 5 4 5 5 4 7 13 12 9 7 8 8 8 9 10 14 8 -1 5 13 10 4 6 9 11 9 9 10 9 11 15 18 18 17 15 10 7 5 6 6 5 4 4 5 4 3 3 3 3 3 4 4 4 5 6 7 9 11 9 6 4 4 3 3 4 4 4 5 5 5 5 4 3 3 3 3 3 2 2 1 1 2 3 5 6 7 9 24 45 31 9 5 5 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 2 -1 -1 3 6 5 5 5 5 5 4 3 3 3 3 4 3 4 4 4 4 5 5 4 5 5 4 5 5 4 4 3 3 2 2 1 2 1 2 3 4 4 4 4 4 5 5 5 6 6 6 6 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 1 -2 -4 -1 4 8 8 10 14 13 9 5 4 5 4 3 3 5 6 3 2 2 4 6 5 6 7 7 9 9 10 10 9 9 9 7 7 12 19 19 11 2 -1 3 4 4 4 5 5 5 5 5 5 5 6 5 5 7 8 8 8 8 8 7 7 6 5 4 4 4 6 10 14 14 12 10 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 4 3 3 3 3 3 3 3 3 3 4 3 4 4 5 7 8 7 6 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 3 3 4 3 3 2 2 3 3 4 4 3 4 4 4 4 3 3 3 3 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 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 8 10 11 11 11 12 14 15 14 14 13 12 11 10 9 8 7 6 6 5 4 4 4 3 2 3 5 7 8 7 6 5 5 5 4 4 3 3 2 3 8 12 7 1 -3 -8 -9 -1 7 8 4 3 4 6 7 6 5 5 5 5 5 4 5 5 5 6 5 4 4 3 3 4 5 10 15 12 9 8 8 8 9 8 6 11 14 3 4 13 12 9 5 8 10 8 10 12 12 13 16 17 16 13 10 7 6 6 7 6 5 4 4 4 4 3 3 3 3 4 4 4 4 5 6 7 9 10 9 6 4 3 3 3 4 4 5 5 5 5 5 4 4 4 3 3 2 2 2 1 2 3 4 6 7 7 7 18 43 39 15 7 5 6 7 8 8 8 7 6 7 7 6 6 5 6 5 5 5 6 6 5 4 3 2 -1 -0 4 6 6 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 2 1 1 1 2 3 3 4 4 5 5 4 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 6 7 7 7 7 4 -0 -1 2 5 6 5 8 11 8 6 5 5 6 5 4 5 6 6 3 -0 -3 -3 2 6 6 5 6 7 8 9 9 8 8 8 8 12 19 21 13 2 -3 -0 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 8 8 8 8 7 6 5 6 9 11 11 9 8 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 3 4 4 3 3 3 3 4 3 4 4 3 3 5 6 7 7 6 6 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 9 9 10 10 12 14 17 18 16 14 13 12 12 11 10 9 7 6 6 6 5 4 4 3 2 3 5 7 9 8 6 6 5 5 4 4 3 3 2 -1 -3 3 11 11 5 2 3 7 6 2 1 3 6 7 9 6 5 5 6 6 5 5 4 4 4 3 2 2 3 3 4 5 8 12 11 9 8 7 6 5 6 6 4 6 6 -0 4 12 11 8 5 9 12 12 13 14 14 12 12 12 11 10 8 7 7 7 7 6 5 5 4 4 4 3 3 3 3 4 4 4 4 5 6 7 9 10 9 7 4 2 2 3 3 4 5 5 6 5 5 4 4 4 4 3 2 1 2 2 3 4 5 6 7 7 6 10 26 36 28 15 10 8 7 8 9 8 7 7 7 7 8 7 7 6 6 6 7 7 6 5 4 3 3 2 0 2 4 4 5 5 5 6 6 4 4 3 4 4 4 4 4 5 5 4 4 3 3 4 5 5 5 5 6 5 5 5 4 4 3 2 1 1 1 2 3 3 4 4 4 3 4 4 4 4 3 2 2 2 2 3 3 4 5 5 5 6 8 10 12 16 18 9 2 3 5 5 4 5 7 7 6 5 5 6 7 7 5 6 7 8 6 1 -2 0 4 5 5 5 5 6 6 7 8 8 9 9 10 17 20 13 5 -3 -4 2 5 5 5 5 5 6 5 5 5 6 6 6 6 7 8 8 7 7 7 7 9 11 10 9 7 6 6 8 8 7 7 8 8 6 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 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 5 6 7 7 7 6 5 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 9 9 9 10 11 15 18 20 19 16 13 12 12 12 11 9 8 6 5 6 6 5 5 4 3 3 4 7 9 8 6 5 5 5 4 4 4 3 3 2 -1 -1 5 9 9 10 11 9 6 4 5 6 6 7 9 7 5 5 6 7 7 5 4 3 3 2 3 3 5 5 7 8 10 10 8 7 7 6 5 6 4 3 5 7 -1 -4 5 6 4 3 3 8 14 15 15 15 11 6 4 6 8 7 6 6 6 6 6 5 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 7 9 9 8 6 4 3 2 2 3 5 5 5 5 4 4 4 4 4 4 3 2 2 2 3 4 5 5 6 6 6 6 6 10 21 29 25 19 16 13 12 11 10 9 8 7 7 8 9 9 8 6 6 7 6 5 4 4 4 4 3 1 2 3 3 3 3 4 5 5 5 4 3 4 4 4 4 5 5 5 4 4 3 3 2 3 4 5 5 5 5 6 6 6 5 5 3 2 1 0 1 1 2 3 3 3 3 3 3 3 3 2 2 1 1 1 2 2 3 4 4 4 4 5 11 18 20 18 11 6 6 7 5 5 6 6 5 5 6 6 6 9 10 8 6 6 9 10 6 1 1 3 4 4 5 4 5 5 5 6 7 9 9 9 14 16 9 6 5 -0 2 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 6 6 6 8 11 12 11 8 5 5 6 7 6 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 6 5 4 3 3 3 4 4 4 3 4 4 5 4 4 3 3 3 3 5 7 7 7 6 5 4 3 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 5 4 4 4 4 5 4 4 3 3 3 3 2 3 3 3 3 3 4 3 3 3 4 4 4 3 4 4 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 8 8 8 8 11 14 19 22 22 19 15 12 11 11 10 9 8 6 5 5 6 6 5 5 4 4 4 6 8 8 7 5 4 4 4 4 4 4 4 3 3 4 5 7 8 8 6 5 6 10 11 8 6 6 8 7 7 7 5 6 8 7 5 4 4 3 4 5 6 8 10 9 9 7 6 6 6 6 7 10 6 4 11 15 5 -0 9 6 -5 -5 1 9 12 13 12 12 9 7 7 8 7 5 4 5 6 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 6 7 8 9 8 6 4 2 2 2 4 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 6 6 6 5 7 14 19 20 20 21 20 17 14 12 13 13 9 7 7 8 6 6 6 6 6 6 6 5 5 5 5 5 4 2 2 1 1 2 2 3 4 3 3 3 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 5 6 6 6 5 4 3 2 1 1 0 1 2 2 2 2 2 2 1 1 1 1 0 0 0 1 1 2 3 3 3 4 9 19 18 8 6 7 7 6 5 5 5 6 5 5 5 5 7 10 12 10 7 5 5 6 5 2 2 3 3 4 4 4 4 4 5 5 6 8 9 10 11 11 8 8 9 6 4 6 6 6 6 6 7 6 6 5 5 6 6 6 6 7 7 6 5 5 5 6 9 12 13 9 6 7 7 7 6 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 7 6 5 4 3 3 3 3 3 3 4 5 5 5 4 3 3 2 3 4 5 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 8 10 14 18 22 24 22 17 13 11 10 9 9 8 7 5 5 5 6 5 5 5 5 5 5 7 8 7 7 6 5 4 4 4 4 4 4 4 5 7 7 2 -3 -3 5 10 13 12 10 5 6 8 8 11 10 3 3 8 9 7 5 4 5 5 5 3 5 8 8 7 5 5 5 6 7 10 10 10 9 15 17 8 3 11 22 12 1 4 10 11 10 10 11 12 14 15 11 6 3 4 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 6 7 9 8 7 5 3 2 3 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 7 10 11 15 17 17 16 15 19 21 19 14 7 3 2 4 7 10 12 16 19 16 11 9 9 8 4 2 1 1 1 1 1 1 1 2 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 5 2 -1 -4 -6 -4 -0 4 5 5 5 4 4 3 2 1 1 1 1 1 1 2 2 1 1 1 0 -0 -1 -1 -0 -1 0 6 7 7 9 9 13 13 6 4 5 5 6 6 5 5 6 7 6 6 8 8 7 8 9 6 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 5 6 7 9 9 8 7 8 9 5 4 5 6 7 7 7 7 7 7 6 5 6 6 6 6 7 6 5 5 5 5 5 7 11 12 10 8 8 8 8 7 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 5 6 7 7 6 6 4 3 3 3 3 3 4 4 4 5 5 4 4 3 2 2 3 4 5 5 5 5 4 4 3 3 2 2 2 2 3 2 3 3 2 3 3 3 3 3 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 7 6 7 9 13 17 21 23 22 19 14 11 9 9 9 8 6 5 5 5 5 5 6 6 6 5 6 7 7 10 12 11 7 5 4 4 3 4 7 8 3 -2 -3 -3 -8 -5 7 11 11 11 13 7 3 6 9 12 12 5 2 7 9 7 5 5 6 6 5 3 3 4 4 3 5 4 4 6 9 11 7 8 10 13 13 7 5 13 32 30 14 10 9 9 9 9 11 12 14 14 9 5 3 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 6 7 8 9 9 8 6 4 4 5 7 7 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 4 5 5 5 5 5 5 4 4 4 4 5 5 7 10 11 11 15 20 21 22 17 9 6 6 8 13 15 19 27 30 23 16 12 8 3 3 2 2 2 2 1 1 1 1 1 2 3 3 3 4 4 4 5 6 5 5 7 9 10 10 7 1 -8 -14 -10 -4 0 3 4 5 4 4 4 4 3 1 1 0 0 1 1 1 1 0 -0 -1 -1 -2 -2 -3 -3 -0 9 13 11 12 12 10 8 5 5 5 5 5 5 5 5 5 6 6 6 7 5 4 4 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 8 9 8 7 7 9 6 3 4 6 6 7 7 8 8 8 7 5 6 6 6 6 6 6 6 5 5 6 6 7 9 10 10 9 7 8 9 8 6 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 4 5 6 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 3 2 3 2 3 4 4 5 6 6 5 4 4 3 2 2 2 3 3 3 3 2 2 3 2 3 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 6 7 7 6 6 5 6 8 11 15 18 20 20 18 14 11 10 9 9 7 6 5 5 5 5 5 6 6 6 6 6 7 7 9 12 13 9 6 4 3 3 4 12 12 0 -12 -13 -6 -4 -0 11 12 8 9 11 10 2 2 7 10 11 7 3 4 7 6 5 5 6 6 6 6 5 3 3 2 4 5 4 6 9 6 2 3 7 9 9 6 3 9 23 25 16 11 7 6 9 10 10 10 10 9 7 5 5 6 6 5 5 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 6 8 10 10 9 8 7 6 5 6 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 7 10 14 17 17 15 12 9 7 8 9 12 16 20 20 16 11 5 3 3 3 3 3 3 4 4 2 2 1 1 0 1 1 2 1 0 1 4 5 5 5 6 9 11 11 10 4 -3 -3 2 5 4 3 3 4 4 5 5 4 3 1 0 -0 -0 1 1 0 -0 -1 -1 -1 -2 -4 -4 -2 1 7 11 11 11 11 10 8 6 5 6 6 5 6 8 9 7 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 5 5 4 4 5 6 8 9 8 6 6 7 4 4 6 6 7 8 8 9 9 7 6 6 6 6 6 7 7 7 6 6 6 6 7 9 10 10 9 7 7 8 8 7 6 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 3 3 4 4 4 5 5 6 6 5 5 4 3 4 4 3 3 3 3 4 5 4 4 4 3 3 3 3 4 5 6 7 7 6 5 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 7 10 13 15 16 16 15 13 11 10 9 8 7 5 5 4 4 5 5 5 5 5 6 6 7 7 3 1 4 7 8 5 3 4 6 12 13 2 -9 -11 -3 0 4 8 9 4 8 8 8 -0 0 4 7 8 8 3 2 4 6 6 6 6 6 6 6 5 5 5 4 4 5 4 5 7 1 -3 1 5 7 6 3 2 5 11 15 12 10 8 8 8 9 9 8 7 5 3 3 5 6 6 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 6 8 11 11 10 9 8 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 6 7 7 7 7 7 6 5 5 5 6 5 7 8 6 4 4 4 3 4 4 5 5 6 6 5 4 2 -0 -3 -3 -3 -7 -10 -7 -3 1 3 4 4 5 6 9 13 17 15 10 9 10 7 3 2 2 3 4 5 4 4 3 1 0 -0 -0 0 -0 -1 -1 0 4 4 -1 -4 -1 4 6 7 6 7 8 9 10 8 7 7 8 7 7 10 14 12 8 6 4 4 3 3 3 3 3 3 3 3 4 5 5 4 4 3 3 4 4 4 5 5 5 5 5 6 7 8 8 6 4 4 5 5 6 6 7 7 8 9 10 9 6 6 6 6 6 7 7 7 6 6 6 7 8 10 9 9 8 6 5 7 7 7 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 2 3 3 3 3 4 4 5 6 6 6 5 4 4 4 3 2 2 2 3 4 5 5 5 5 4 3 3 3 4 5 6 8 8 8 7 6 5 5 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 5 5 5 6 9 11 13 13 13 12 11 10 9 8 7 6 5 4 4 4 5 4 4 4 5 5 6 7 7 3 -3 -2 4 7 6 4 5 9 13 11 5 0 -2 1 4 8 4 4 -1 4 8 8 3 0 1 6 6 7 4 3 3 6 7 7 7 6 6 6 5 5 6 5 4 3 3 6 8 5 3 5 6 6 3 1 2 4 7 11 10 8 8 8 8 7 7 6 4 3 2 3 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 6 5 5 7 9 11 12 11 10 9 8 7 6 5 5 4 5 4 5 5 5 5 5 5 4 4 4 4 4 3 4 3 3 4 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 3 3 2 1 2 3 4 6 7 7 6 5 4 3 4 4 4 4 4 4 4 5 6 6 6 7 7 7 6 2 -3 -4 -5 -13 -19 -14 -5 -1 1 3 4 4 5 5 8 15 18 15 10 7 4 2 1 1 2 3 3 3 4 3 2 1 0 1 2 2 2 -1 -1 3 6 6 3 1 4 6 6 6 5 5 7 10 10 9 8 8 8 3 2 9 11 7 5 5 4 3 2 2 2 2 2 3 4 5 5 5 5 4 4 3 3 4 5 5 5 5 5 5 5 6 7 8 6 4 3 5 6 6 7 7 7 8 8 10 10 7 7 8 7 6 6 6 7 6 7 6 7 10 12 12 10 8 5 5 6 7 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 2 2 2 2 2 3 3 3 4 4 5 6 6 5 4 4 3 3 2 2 2 2 3 3 4 5 5 4 4 4 4 5 5 6 7 8 9 9 8 8 7 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 6 6 5 5 5 5 6 6 7 6 5 5 5 6 7 9 11 10 10 10 9 8 8 7 6 5 4 3 3 4 4 5 4 4 4 5 6 8 8 7 3 2 4 5 5 5 5 10 13 10 8 5 2 3 9 14 8 5 1 3 11 12 7 2 0 5 5 4 5 4 5 9 9 6 6 7 7 6 5 5 5 5 4 3 5 9 9 8 10 9 7 4 1 -0 1 4 7 9 7 6 6 6 6 6 6 5 4 3 2 3 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 7 10 12 12 12 11 10 9 7 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 5 6 7 8 9 8 7 6 5 5 5 4 4 4 5 5 5 5 5 6 7 7 7 5 3 0 -3 -8 -11 -6 1 3 2 2 2 3 4 5 6 8 10 10 7 3 0 0 0 1 1 1 1 2 3 5 4 2 4 7 7 5 6 4 3 2 5 10 9 5 6 7 7 6 5 4 6 8 8 9 10 10 8 4 2 4 6 5 5 5 4 2 2 2 2 2 2 3 4 5 6 6 5 4 4 4 4 4 5 5 5 5 4 5 6 6 6 7 7 4 3 4 6 7 7 7 7 7 7 8 9 9 9 9 8 6 6 7 6 6 6 6 7 10 13 15 13 9 6 6 7 8 8 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 2 2 2 2 2 2 2 3 4 5 6 6 6 5 5 4 4 3 2 1 1 1 2 3 3 4 5 4 4 5 4 5 5 5 7 8 9 9 8 8 7 6 6 5 4 5 5 4 4 4 3 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 5 5 5 6 8 9 8 8 7 7 7 6 6 5 4 3 3 3 4 4 4 5 5 4 5 6 8 9 8 6 5 5 4 4 4 6 9 10 9 10 9 6 4 13 19 12 5 8 5 9 14 8 4 3 4 4 3 4 3 7 11 9 6 6 6 7 7 6 6 5 6 6 5 8 12 9 7 7 7 7 6 3 1 1 4 7 7 6 5 6 6 6 5 5 4 4 4 3 4 5 5 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 5 6 5 5 7 10 12 12 12 11 10 8 6 5 4 5 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 7 8 9 8 7 6 5 5 4 4 5 5 5 4 4 3 4 6 6 6 6 6 4 2 4 9 12 8 4 0 -2 -4 -2 1 4 6 5 5 5 4 2 1 0 -1 -0 1 2 1 0 3 9 9 3 5 12 13 8 7 9 11 11 8 6 6 6 7 8 8 7 7 7 7 8 8 8 8 11 12 11 8 5 5 6 7 6 5 4 4 3 4 4 3 4 5 5 6 6 6 5 5 4 4 4 4 5 6 5 4 5 6 6 6 6 7 6 4 4 6 7 7 7 8 8 7 7 8 9 9 9 7 7 7 6 6 6 6 7 9 10 12 15 15 11 7 6 7 8 9 9 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 3 3 2 1 1 1 1 3 3 4 5 5 6 6 6 6 5 5 3 2 1 1 1 2 2 3 3 4 4 4 4 5 4 5 5 5 7 7 7 7 6 6 6 5 4 4 4 4 3 3 3 2 2 2 2 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 3 4 4 4 4 4 5 4 4 4 5 5 6 6 6 5 6 6 7 6 6 5 5 6 6 7 8 8 7 6 6 6 5 5 4 3 3 3 3 4 4 4 5 6 6 5 6 8 10 9 8 6 4 3 3 4 7 9 8 7 10 10 6 5 17 24 12 2 8 7 5 10 7 6 4 5 4 2 3 3 7 11 7 5 5 5 6 8 8 7 6 8 7 5 8 10 8 6 5 7 8 8 6 3 4 6 7 6 5 5 7 6 6 6 5 4 3 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 9 11 12 12 11 9 7 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 4 3 2 3 4 5 5 5 5 5 5 8 19 28 19 4 -3 -4 -6 -5 -2 3 7 5 4 4 4 4 4 3 2 1 2 2 2 2 4 8 12 8 6 9 11 10 8 10 10 10 7 5 7 8 7 7 8 9 9 8 7 8 10 10 6 7 10 9 8 6 6 6 7 7 7 6 6 6 6 6 6 5 6 6 5 5 5 6 5 5 5 4 4 5 6 5 5 5 5 5 5 6 9 9 5 3 5 7 7 7 8 8 8 7 7 8 8 8 7 6 6 6 6 7 7 7 9 10 11 13 13 10 7 6 6 8 9 10 7 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 4 4 3 2 2 1 1 2 3 3 4 4 5 6 6 7 6 5 5 4 3 2 2 1 1 2 2 3 3 3 4 4 5 4 4 4 5 5 6 6 6 5 5 5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 6 6 6 6 6 6 7 7 7 6 5 5 5 5 4 3 3 3 3 3 4 4 5 6 7 7 6 6 8 10 10 8 6 4 3 2 5 10 11 8 7 8 9 4 2 17 25 11 3 10 8 2 2 5 6 6 6 7 3 2 4 7 7 5 4 4 5 6 6 7 7 7 7 6 5 6 7 7 7 6 7 8 8 6 4 5 8 8 7 5 7 9 8 6 5 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 6 8 11 11 11 10 8 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 5 5 4 5 5 5 6 6 5 5 5 5 6 5 5 5 4 3 3 3 4 4 5 4 4 6 6 6 14 28 31 16 2 -1 -1 -1 1 5 7 7 6 5 6 7 7 7 5 2 1 -0 3 6 6 6 7 9 8 7 7 7 7 7 8 9 9 7 7 9 8 7 8 11 12 9 7 6 8 9 7 4 5 6 6 6 5 5 6 6 6 6 6 7 7 8 8 8 7 5 4 4 4 5 5 5 5 5 4 5 7 7 5 4 4 4 5 7 10 13 6 2 5 7 7 8 8 8 8 8 7 8 8 8 8 6 6 6 7 7 7 7 9 10 10 9 8 6 5 5 5 6 8 8 7 5 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 4 5 4 4 3 2 2 2 2 2 3 4 4 5 5 6 6 6 6 7 6 4 3 2 2 1 1 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 7 7 6 6 5 4 4 4 4 3 3 3 2 2 3 4 5 6 7 8 8 7 6 8 9 10 8 6 4 3 3 7 12 13 12 10 8 9 4 -1 10 16 7 7 17 11 0 -1 5 5 7 8 9 4 3 3 4 3 4 4 4 5 6 6 6 5 6 5 4 5 6 7 7 6 5 6 7 9 9 6 6 10 10 7 7 10 10 6 4 4 5 6 6 5 4 5 5 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 4 6 8 9 10 10 9 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 4 4 5 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 5 5 4 5 5 6 6 6 8 17 26 28 20 10 7 5 4 3 4 7 9 10 8 5 6 9 5 1 1 5 8 8 7 7 7 6 7 8 7 5 5 6 7 8 9 9 8 8 8 7 6 8 9 8 6 4 5 6 6 4 4 5 6 5 5 5 4 4 4 4 5 5 6 7 8 9 8 5 3 3 3 3 4 4 4 5 5 6 7 7 5 3 4 4 5 6 9 11 9 5 6 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 7 7 9 9 7 7 5 5 4 4 5 6 6 7 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 4 5 5 5 5 4 4 3 2 1 2 2 3 3 4 5 4 4 5 6 7 7 6 4 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 4 4 4 3 2 2 2 1 2 2 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 6 6 6 6 7 8 9 9 8 6 5 5 4 4 3 3 3 3 3 2 2 3 4 5 6 8 9 8 7 6 8 9 10 8 5 4 3 6 11 13 12 15 12 8 9 8 1 1 3 1 6 17 13 3 2 6 5 6 9 10 6 2 3 2 1 2 2 3 4 5 6 6 4 4 4 4 5 7 8 7 4 4 6 7 10 12 11 9 11 10 9 11 12 9 4 2 3 6 6 5 4 4 5 5 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 6 7 8 9 9 8 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 7 13 24 29 20 18 16 10 4 3 5 9 15 14 7 8 12 9 6 8 14 13 8 6 6 6 7 7 9 10 7 5 6 6 7 7 7 6 6 7 6 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 2 3 3 3 4 6 7 7 5 4 3 3 3 3 3 4 5 5 5 6 8 7 3 2 4 5 6 9 10 9 8 9 11 12 12 11 11 10 9 9 8 8 9 8 7 6 6 6 7 7 6 6 7 8 9 8 9 8 7 5 4 4 5 7 6 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 4 4 4 5 5 5 5 4 2 2 2 1 2 3 3 4 4 4 4 5 6 7 7 5 4 4 3 3 3 2 2 2 2 2 2 2 2 3 4 5 6 6 5 5 4 3 3 2 2 2 2 1 2 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 8 9 10 11 10 7 5 4 4 4 4 3 3 2 2 2 2 3 4 5 7 9 9 8 7 7 7 9 9 8 5 4 6 11 15 13 11 14 10 4 7 9 4 -1 -0 0 3 8 7 5 6 8 7 5 7 7 6 2 2 2 1 -0 1 3 4 5 6 6 5 5 4 3 4 5 7 7 7 8 8 7 9 12 10 8 9 10 11 12 10 5 2 2 3 5 5 4 1 2 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 5 4 5 5 7 8 8 8 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 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 4 4 6 12 19 20 22 24 21 13 8 6 9 15 18 14 10 11 10 10 13 15 13 8 6 5 6 7 8 9 11 10 7 7 7 7 7 7 6 5 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 4 3 4 4 4 3 2 3 3 3 2 3 4 4 4 4 4 3 3 3 3 4 4 5 6 6 7 10 5 1 4 5 6 9 10 9 9 10 13 15 16 15 12 11 10 9 10 10 9 8 7 6 6 6 6 5 5 6 6 8 9 9 11 12 11 7 3 2 4 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 4 4 4 5 5 6 6 5 4 4 3 3 2 2 2 4 4 4 3 3 3 5 6 6 5 4 4 4 4 3 3 2 2 2 2 1 2 2 3 4 5 5 5 5 4 4 3 2 2 2 2 2 2 1 1 1 1 1 0 1 1 2 2 2 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 8 8 8 8 8 8 11 15 20 18 12 6 4 4 5 4 4 3 2 2 1 1 3 4 5 7 9 9 9 8 7 8 9 9 7 4 5 11 16 14 11 11 12 9 0 1 4 4 5 6 4 3 5 3 3 5 9 9 5 4 4 4 3 2 1 1 1 2 3 4 5 6 6 6 5 4 2 2 4 5 7 11 13 9 5 4 4 3 3 6 7 10 11 7 2 1 1 2 3 3 1 -1 2 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 5 4 4 4 5 5 7 8 7 7 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 6 5 6 6 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 7 10 15 21 24 22 17 12 10 12 17 18 14 11 9 7 10 12 9 7 7 6 7 9 8 9 9 10 11 10 8 8 8 7 6 5 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 4 4 3 3 3 4 4 5 5 6 7 7 6 4 4 5 6 8 9 9 9 11 14 18 19 17 14 11 10 10 10 10 9 7 7 7 6 6 6 6 6 7 8 9 9 7 8 11 14 12 7 3 4 6 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 5 5 5 4 3 4 5 6 6 5 4 4 4 4 4 4 3 3 2 2 1 2 2 2 3 4 5 5 5 5 4 3 3 3 3 2 2 2 2 1 0 1 0 1 1 1 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 7 8 8 9 10 10 9 13 23 32 26 13 5 3 5 6 5 5 4 3 1 1 1 2 4 5 7 9 10 9 8 7 7 7 8 6 6 10 15 16 10 7 9 12 11 3 -2 1 5 8 8 5 4 8 4 3 5 8 10 7 4 3 2 2 2 1 1 1 3 3 4 5 5 6 7 7 4 1 0 4 5 6 8 10 7 1 -2 -5 -6 0 2 0 6 9 5 2 1 -0 -1 -0 -1 -1 1 4 4 4 5 4 3 3 3 3 3 4 4 4 4 3 3 3 5 5 4 4 4 5 5 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 5 7 11 16 20 19 16 14 12 15 21 20 14 10 9 9 9 9 10 11 10 11 13 11 11 9 9 12 12 9 7 6 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 5 6 7 8 8 9 11 14 17 18 16 14 12 10 10 9 9 8 7 7 6 6 7 7 6 7 9 11 12 11 9 7 9 15 19 19 13 7 6 6 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 nan 6 6 6 5 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 6 6 7 7 6 4 4 5 6 6 4 4 3 3 4 5 5 4 4 3 2 2 2 2 3 3 3 4 5 5 5 5 4 4 3 2 2 2 2 1 1 0 0 1 1 2 2 2 2 3 3 2 3 3 3 3 4 3 3 2 2 3 2 2 2 2 3 2 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 4 4 3 4 5 4 5 5 4 4 5 5 5 6 7 8 10 11 10 8 11 23 34 24 3 -7 -3 6 8 7 6 4 3 2 0 1 2 3 5 7 8 9 9 8 7 7 6 6 7 11 15 14 11 9 7 7 9 13 8 1 4 9 8 4 2 6 10 5 1 4 8 8 8 5 2 1 2 1 1 1 1 3 4 5 5 5 6 7 8 6 3 3 7 8 6 5 8 5 -2 -3 -6 -10 -3 1 -0 7 10 6 2 -3 -4 -3 -1 2 2 6 9 6 4 4 4 4 3 3 3 3 4 5 5 4 3 3 4 4 4 5 4 4 5 5 7 7 7 6 6 6 7 7 7 6 5 5 5 5 4 5 5 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 5 5 5 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 1 0 1 3 4 5 5 5 5 5 6 8 10 12 11 11 10 11 17 23 20 14 13 12 12 12 13 15 15 15 16 16 14 12 9 8 9 7 5 4 4 5 5 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 5 6 6 5 5 5 4 5 5 6 7 8 8 10 13 15 16 16 14 12 10 8 8 8 8 8 8 8 8 8 8 7 7 9 14 17 17 13 8 7 14 26 33 23 10 6 5 3 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 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 8 6 5 5 6 6 4 3 3 2 4 5 5 6 5 4 3 3 2 2 2 2 3 3 3 3 4 5 6 5 4 3 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 6 7 7 9 11 11 6 6 16 21 13 -5 -16 -10 5 11 9 8 6 4 2 1 1 1 3 4 6 8 9 8 7 7 7 6 6 10 15 15 10 8 10 9 5 4 11 10 3 5 12 11 7 5 7 9 5 2 4 6 7 7 6 3 2 2 1 1 2 2 3 4 5 5 6 7 7 9 8 6 7 10 9 6 6 9 5 -2 -1 -2 -6 -1 3 6 14 13 7 1 -6 -6 -2 4 9 8 8 12 8 4 4 4 3 3 3 3 3 4 5 5 4 3 3 3 4 4 5 5 4 5 6 6 7 7 6 5 5 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 5 4 4 4 3 3 1 1 -0 1 4 5 6 5 5 5 5 6 6 6 7 7 6 6 6 9 13 16 16 16 16 13 11 10 12 11 10 11 12 10 10 8 6 6 6 5 5 5 4 4 4 4 4 4 3 3 2 2 3 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 5 4 5 4 5 6 7 7 8 9 11 13 14 15 14 11 9 8 8 8 8 8 9 9 9 10 9 7 6 8 15 24 26 16 7 5 10 23 30 23 12 7 6 4 2 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 5 6 7 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 9 8 5 5 5 6 5 4 3 2 2 3 5 6 5 5 5 4 3 2 2 2 3 3 4 3 3 3 4 5 6 5 4 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 5 4 5 5 5 5 4 5 5 5 6 6 7 7 11 12 7 2 1 -3 -1 -3 -14 -9 6 12 12 12 9 5 3 2 1 1 2 4 6 8 8 8 7 6 6 7 10 13 13 11 8 7 8 10 5 4 11 13 2 1 10 14 15 10 6 5 4 5 5 5 5 6 5 4 3 2 1 2 2 3 4 5 5 6 6 7 7 7 8 8 9 11 8 3 7 9 4 1 2 2 4 10 14 15 16 15 8 1 -5 -5 1 11 16 11 9 10 6 4 4 4 3 3 3 3 4 5 6 5 4 3 3 3 3 5 5 5 5 5 6 6 7 7 6 5 5 6 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 5 5 4 4 4 3 1 0 1 2 5 6 6 5 4 4 4 5 6 6 6 7 6 5 4 4 5 6 10 13 13 8 5 4 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 2 2 1 1 2 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 6 6 5 5 4 4 4 4 5 6 5 5 5 5 4 4 5 6 7 8 8 9 10 12 13 13 12 10 9 9 9 9 10 10 11 11 12 10 7 5 6 13 25 25 15 7 4 6 13 15 14 12 9 8 6 4 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 nan
nan nan 5 7 7 7 7 7 7 8 7 7 7 6 5 5 5 6 6 6 7 7 7 7 7 8 9 8 6 4 5 6 7 6 4 3 2 2 4 5 5 6 5 5 4 4 3 3 3 4 4 4 4 3 4 4 6 6 6 4 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 2 3 3 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 15 21 15 4 -7 -20 -15 -5 -5 -1 8 13 16 15 12 7 4 2 1 1 2 4 6 7 8 7 6 6 6 9 13 13 10 8 6 4 8 11 3 2 13 16 5 2 5 14 21 14 4 0 0 4 7 6 4 4 3 4 3 3 3 3 4 5 5 6 5 6 6 6 6 6 7 8 8 10 8 0 7 8 4 5 4 5 12 20 21 16 16 17 10 2 -4 -3 6 16 16 10 10 11 6 3 4 4 3 3 3 3 4 4 6 6 5 4 3 3 3 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 6 5 5 6 6 5 5 6 5 5 5 5 4 4 5 5 5 5 5 4 3 2 1 2 4 5 6 6 5 5 4 4 4 4 5 7 8 8 7 5 2 2 3 6 8 9 6 3 2 2 4 5 5 5 6 6 6 6 6 6 5 5 5 5 4 5 5 4 4 3 3 2 1 1 -0 -0 0 2 3 4 4 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 6 7 7 8 7 8 10 10 11 11 11 10 10 9 10 10 11 12 13 13 10 7 6 6 8 15 15 9 6 4 5 5 5 6 9 10 10 8 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 4 4 4 5 6 6 8 8 8 8 8 7 5 4 4 5 7 7 6 4 4 3 3 3 4 5 6 6 5 5 4 3 3 4 4 6 6 6 5 5 5 6 6 7 5 5 5 4 3 3 4 3 3 2 2 2 2 3 3 2 3 2 2 2 2 1 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 6 7 6 5 11 23 30 24 16 2 -18 -19 -6 1 4 8 13 16 18 15 10 5 3 2 2 3 4 6 7 7 7 6 5 7 10 12 10 8 9 7 1 5 14 10 2 10 16 7 3 4 11 21 16 3 -4 -3 4 10 9 5 2 1 1 2 4 4 5 6 6 6 6 6 7 8 6 5 6 6 7 9 12 7 1 6 6 5 7 4 7 16 19 15 12 18 23 15 2 -4 -1 11 18 14 8 10 13 7 3 4 4 3 2 3 3 3 4 5 6 5 4 4 3 4 4 5 5 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 2 2 2 3 5 6 6 5 5 4 4 4 4 4 5 8 10 9 5 2 1 2 5 8 10 8 4 3 4 5 6 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 4 4 3 2 2 3 2 1 -2 -6 -5 -0 3 3 3 3 4 4 4 4 4 4 5 6 6 6 5 6 6 6 6 6 6 6 4 3 4 4 4 5 5 5 5 5 4 4 4 5 6 7 7 7 7 8 9 9 10 10 10 9 9 9 10 11 12 13 12 10 7 7 6 6 6 6 5 4 4 5 5 3 2 5 7 8 8 8 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 5 4 3 3 2 2 2 1 1 2 2 2 2 2 3 4 5 7 8 8 8 8 7 5 4 3 3 5 7 8 7 5 4 3 3 4 5 5 6 6 5 5 4 4 3 4 5 8 10 10 8 6 5 6 7 7 7 7 6 5 5 5 4 2 2 2 2 2 3 3 3 2 2 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 6 6 6 9 19 27 27 23 22 13 -8 -15 -5 2 5 8 11 16 18 17 13 7 4 3 3 3 4 5 6 7 6 5 5 6 6 5 6 8 10 11 4 -3 1 9 7 9 12 7 2 3 8 15 13 6 -2 -1 6 9 8 5 2 0 0 2 5 5 6 7 6 5 5 6 7 7 6 6 7 6 6 11 12 6 6 6 4 7 7 5 12 17 12 7 13 26 27 15 3 -4 1 14 18 10 7 12 14 8 4 4 4 4 3 3 3 3 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 2 3 4 5 5 5 4 4 4 4 4 3 4 7 10 10 7 3 1 1 3 7 9 9 8 7 6 6 6 6 6 5 6 6 6 5 5 5 5 5 6 6 6 5 4 3 3 2 2 3 5 7 5 -4 -12 -8 -3 1 3 4 4 4 4 3 4 4 4 5 6 5 5 5 5 5 6 5 6 6 6 4 3 4 4 4 5 5 5 5 5 4 4 4 5 6 6 7 7 7 7 8 8 8 8 7 7 8 8 9 11 11 11 10 8 7 7 7 6 5 5 5 5 6 7 5 3 3 4 6 7 6 6 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 4 2 2 1 0 0 0 -0 0 0 0 0 1 1 1 2 3 5 6 7 8 7 7 6 4 2 2 3 5 7 8 8 6 4 3 4 4 5 6 6 5 5 5 4 4 3 4 7 11 13 11 7 5 5 6 7 8 9 8 7 6 5 4 3 2 2 3 3 3 3 3 2 1 1 1 2 3 2 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 6 5 6 7 10 18 22 17 17 19 15 7 -5 -10 -3 3 5 7 11 15 16 16 14 9 5 3 3 3 4 5 6 7 6 5 5 5 2 1 3 5 7 11 10 0 -8 -5 1 7 10 7 4 4 6 7 6 7 5 3 4 6 6 6 4 1 1 3 6 6 6 6 4 3 4 5 6 6 7 7 6 5 6 10 8 5 9 6 4 8 4 5 16 18 9 8 21 33 26 12 2 -1 6 16 14 7 6 11 14 8 3 5 4 4 4 3 2 2 4 5 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 5 4 4 4 3 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 2 3 4 4 4 4 4 4 4 4 4 4 4 6 9 10 7 3 1 1 2 4 7 9 10 10 8 8 6 6 6 6 7 6 6 6 5 5 4 5 5 5 5 5 4 3 2 2 2 3 6 11 14 9 -4 -10 -7 -1 3 4 4 5 4 3 3 4 4 5 5 6 5 4 3 4 5 5 5 6 7 5 2 3 4 4 4 5 5 6 6 4 4 4 4 5 5 6 7 7 7 8 8 7 6 5 5 6 7 8 8 9 9 10 9 8 8 8 9 9 9 9 8 6 7 7 5 5 5 5 6 6 4 4 8 11 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 4 3 2 2 2 3 3 2 1 1 1 0 -0 0 0 0 1 3 5 6 6 6 6 6 5 3 2 2 4 6 8 8 7 5 5 5 5 5 6 6 6 5 6 5 4 4 4 5 8 11 11 9 6 6 6 7 8 9 9 9 7 5 5 4 2 2 3 3 3 2 2 2 1 0 0 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 9 9 8 8 9 12 18 21 13 4 12 19 2 -10 -5 -3 2 4 6 8 12 15 16 15 14 11 6 4 3 4 4 5 6 6 6 9 8 4 3 3 5 5 3 3 5 8 9 4 -0 2 7 8 7 6 6 3 2 5 7 5 4 5 6 6 4 3 3 5 6 5 4 3 1 2 4 5 6 6 6 6 5 5 7 9 6 4 7 7 7 9 1 4 16 17 13 19 30 32 21 9 1 2 11 16 10 5 6 12 15 10 4 5 4 4 4 3 2 3 4 4 5 6 6 6 5 4 4 4 5 5 5 5 6 6 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 5 4 4 3 3 4 4 4 5 6 7 6 4 2 2 3 4 5 6 9 10 9 8 7 6 7 7 7 7 7 6 5 4 4 4 4 4 4 3 3 2 2 2 3 5 5 9 14 17 12 3 -2 0 4 5 5 5 4 4 3 3 4 4 5 5 5 4 3 2 3 4 4 6 8 7 3 2 4 4 4 5 5 5 6 5 4 4 4 4 4 4 6 6 7 8 8 8 8 7 5 5 6 6 7 7 8 9 9 7 7 8 8 10 11 12 12 10 8 7 6 6 5 6 7 7 5 4 4 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 6 6 7 7 6 5 4 4 3 2 0 -0 -0 0 1 3 4 5 4 5 5 5 3 2 2 4 6 7 7 6 6 6 5 5 5 5 6 6 6 5 6 6 5 4 3 5 8 9 8 8 7 7 8 9 10 9 8 7 6 5 4 3 3 3 3 2 2 2 1 1 1 1 2 3 3 4 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 6 8 11 13 13 13 15 17 19 21 15 2 -2 10 16 -4 -15 -3 4 5 5 6 8 11 15 16 15 15 12 8 4 4 4 4 4 6 7 9 12 9 6 7 7 8 10 6 4 4 3 6 10 10 7 7 7 7 7 6 3 3 4 6 6 5 5 5 5 4 4 3 4 5 5 3 1 1 3 5 6 7 7 6 6 6 7 7 7 6 6 7 7 9 8 -1 2 13 16 19 27 31 25 15 7 3 6 12 11 6 4 8 13 15 10 4 5 4 5 5 4 3 3 4 5 5 6 6 6 5 4 4 4 4 5 5 6 6 6 6 5 5 5 4 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 3 3 4 4 4 5 7 8 7 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 3 2 2 2 2 2 5 9 9 5 7 14 16 9 3 3 6 7 7 7 6 4 3 3 4 4 4 5 5 5 5 1 0 4 4 5 7 9 6 3 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 6 8 8 10 10 9 8 7 7 6 6 6 6 7 6 6 5 6 7 8 11 16 19 16 10 6 5 5 5 5 6 6 5 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 6 7 8 8 9 9 10 9 9 8 7 6 4 2 0 -0 1 2 3 4 4 3 4 5 4 4 3 5 6 7 6 5 5 5 5 6 5 5 6 6 7 7 7 7 7 6 5 4 6 7 6 7 7 9 10 11 10 9 8 6 5 4 4 4 4 4 3 2 2 1 1 1 1 1 2 2 3 3 3 3 4 4 3 3 3 3 3 3 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 6 11 17 18 20 22 23 23 21 18 8 -2 -0 9 11 -0 -4 0 4 5 5 7 8 11 14 17 17 16 13 9 5 4 3 3 4 6 8 10 10 9 9 10 7 6 13 10 9 12 9 0 1 7 10 9 7 7 8 6 4 5 5 6 6 5 5 4 4 4 5 4 3 3 5 3 1 2 4 6 7 9 9 8 7 7 8 6 5 6 6 6 8 8 6 0 -1 5 10 19 25 23 17 10 6 5 7 10 7 4 5 9 12 13 7 4 5 5 5 5 4 3 4 4 5 5 6 6 6 5 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 3 4 5 5 5 5 4 4 5 4 5 5 4 4 5 5 6 5 5 5 5 4 4 4 4 4 5 5 4 4 3 3 4 4 5 5 5 4 4 3 3 3 3 3 3 4 5 5 4 4 4 4 4 5 4 5 6 7 5 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 3 3 3 2 3 2 6 17 19 5 -3 3 11 10 6 6 9 9 8 8 6 4 4 4 4 4 4 4 4 5 7 4 0 2 4 5 5 7 8 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 4 5 6 7 9 10 11 10 9 8 8 7 6 6 5 5 4 4 5 5 6 10 18 26 22 11 5 5 4 5 5 5 6 5 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 6 7 7 8 7 8 9 10 10 10 10 10 9 6 3 0 0 1 2 3 4 4 4 5 5 5 5 6 7 7 6 4 3 3 5 5 5 5 5 6 7 7 7 8 8 8 7 6 5 5 5 5 6 8 9 10 10 10 8 7 5 4 4 4 5 5 4 3 2 1 1 1 1 1 2 2 3 3 3 4 4 4 4 3 3 3 4 4 4 5 6 6 5 4 3 3 3 3 3 3 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 7 15 22 23 24 25 21 19 18 16 8 0 2 6 4 2 2 3 4 5 6 6 7 9 13 17 18 18 14 10 6 4 2 3 4 4 4 6 5 4 4 7 6 5 10 11 8 11 14 9 4 4 6 8 7 7 8 6 6 5 5 5 5 5 5 3 3 5 5 5 2 2 5 4 3 4 5 7 10 11 9 7 7 10 9 6 5 6 5 5 6 8 5 5 1 1 6 16 20 16 11 7 5 4 5 6 5 4 6 10 15 15 7 3 5 6 5 5 5 4 4 4 5 5 6 7 6 5 4 4 4 4 4 5 6 6 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 5 5 6 5 5 5 4 4 5 5 5 4 4 3 4 4 5 5 5 5 3 3 3 3 4 3 3 4 5 5 4 4 4 4 4 5 4 5 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 6 21 28 12 -5 -6 -0 7 9 10 12 12 10 8 6 5 4 4 4 3 3 3 3 4 6 6 3 3 4 4 4 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 4 4 5 6 7 9 10 11 11 10 9 9 8 7 6 5 5 5 5 6 7 8 15 24 22 13 7 4 5 6 6 7 7 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 5 6 6 6 5 5 6 6 7 9 10 11 12 10 7 3 1 0 1 2 3 5 5 5 6 7 7 8 8 7 5 3 2 3 4 5 5 4 4 5 6 7 7 8 9 9 8 7 5 5 4 4 5 5 6 7 9 10 10 9 8 6 5 5 5 6 6 4 3 1 1 0 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 3 4 3 3 3 3 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 6 10 16 21 21 18 15 13 12 14 15 8 -0 -0 2 1 1 3 4 5 6 6 7 7 8 11 15 19 19 15 10 6 4 1 3 7 6 2 2 2 -0 -0 3 5 5 4 4 4 4 6 9 11 9 6 7 8 8 8 7 6 7 6 6 6 6 5 3 2 4 6 5 2 2 4 4 4 5 6 8 10 9 8 7 10 14 10 7 7 5 5 6 6 7 5 10 12 8 10 16 15 9 4 3 4 2 3 6 6 5 7 11 14 13 6 3 6 6 5 6 5 4 3 4 5 5 6 7 6 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 3 2 3 3 4 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 6 5 5 4 4 5 5 5 5 4 3 4 4 4 5 5 4 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 4 3 5 19 31 20 1 -5 -5 -1 6 12 14 14 12 9 6 5 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 4 4 4 4 5 6 7 8 10 11 11 11 10 9 8 7 7 7 7 6 7 9 9 11 14 15 12 8 6 6 6 7 8 8 7 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 4 4 4 6 6 5 4 3 4 5 6 7 10 12 12 11 8 4 1 1 1 3 4 5 5 5 7 9 9 8 6 4 3 3 4 5 6 7 6 4 4 4 6 7 7 8 8 7 6 5 5 4 4 4 4 4 4 5 7 9 11 11 10 8 6 5 5 6 5 4 2 0 -0 1 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 10 15 19 19 15 9 6 8 11 12 10 1 -7 -5 -0 2 3 4 4 5 5 5 6 7 8 10 13 18 18 14 9 4 2 2 3 8 8 4 2 2 2 2 4 5 5 3 3 4 4 3 5 6 8 7 8 8 7 7 6 7 7 8 10 10 8 6 5 3 2 4 5 3 2 3 4 4 5 6 7 7 7 7 9 13 12 8 8 8 5 6 7 7 7 6 18 22 16 17 17 12 3 -3 0 4 2 4 9 8 6 8 11 11 9 5 4 6 6 6 6 6 5 4 4 4 5 6 7 7 5 4 4 5 5 5 5 5 6 6 6 6 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 6 5 5 5 5 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 5 4 5 5 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 4 4 3 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 16 28 22 8 0 -2 -3 3 11 13 14 13 10 7 6 4 3 3 3 4 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 5 6 6 6 5 5 4 4 4 4 4 5 5 6 7 9 11 11 10 8 7 7 7 9 9 9 9 9 10 10 7 7 7 8 7 7 6 7 8 8 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 3 3 4 4 3 4 6 6 5 3 3 3 5 5 7 9 11 13 12 9 5 3 3 3 4 4 4 5 6 8 9 7 5 4 4 5 5 6 7 8 8 6 5 5 6 7 6 6 6 6 6 5 5 5 5 5 6 5 4 4 4 7 9 11 11 9 7 5 5 5 5 4 3 2 2 3 3 3 2 2 3 4 3 3 3 3 4 5 5 5 5 4 4 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 3 3 4 4 4 5 5 5 5 9 15 22 22 17 11 7 6 7 11 12 2 -9 -15 -7 -0 2 3 3 5 5 5 5 6 7 8 10 12 15 16 12 8 2 -1 2 4 6 4 3 2 3 3 5 8 10 11 7 4 7 8 7 6 5 8 8 8 7 4 3 4 5 6 7 10 12 10 7 5 2 0 2 4 4 4 4 4 4 5 5 5 4 5 5 6 6 5 6 8 7 5 7 8 8 6 10 18 20 18 21 18 8 -1 -5 2 7 6 9 11 9 8 9 10 9 9 6 4 6 6 6 6 6 5 4 4 4 5 6 7 7 5 4 4 5 5 6 6 5 5 6 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 6 5 4 3 4 5 5 5 4 4 3 3 3 4 4 5 6 6 6 5 4 4 4 3 4 4 4 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 6 6 6 5 5 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 3 3 3 3 2 2 3 3 4 4 4 5 5 5 5 5 5 4 5 5 5 5 6 7 6 6 13 22 20 10 3 -1 -1 3 8 10 12 12 10 8 6 5 4 4 4 6 6 6 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 4 5 5 6 6 5 5 5 4 4 4 5 5 5 5 6 8 9 10 10 8 6 6 6 8 10 11 11 11 11 9 6 5 5 5 6 6 6 6 6 7 7 7 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 2 3 3 3 3 5 6 5 5 4 3 4 5 5 7 9 12 13 12 10 8 7 6 6 6 5 4 5 7 7 5 4 4 5 6 6 6 7 8 8 7 7 7 7 7 6 5 5 5 5 4 5 6 6 7 7 7 6 5 3 4 6 8 9 9 7 6 5 5 5 5 5 6 6 6 5 4 4 3 4 5 4 3 3 4 4 4 5 4 4 5 4 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 6 12 18 19 18 13 9 7 6 8 11 12 1 -14 -15 -6 0 2 3 4 4 5 5 6 6 7 9 10 12 14 13 10 6 1 -2 1 5 6 4 3 3 4 4 4 7 14 19 13 3 2 8 9 9 10 8 7 8 6 2 0 2 5 6 5 4 6 7 7 5 3 1 2 4 5 5 5 5 5 5 6 4 3 4 4 3 1 2 6 7 5 5 7 7 8 5 6 9 16 19 22 16 6 -3 -1 8 11 11 13 12 10 9 9 9 10 10 7 4 5 6 6 6 7 5 4 4 5 5 6 7 6 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 5 5 5 5 4 3 3 3 3 4 4 7 8 7 6 5 4 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 4 4 4 4 4 4 4 3 4 3 3 2 2 2 3 3 4 5 5 4 4 4 4 4 4 3 3 2 2 1 2 3 2 3 4 4 5 5 6 6 6 5 5 5 6 6 6 6 6 6 10 17 20 12 2 1 2 4 6 7 9 10 9 8 6 5 4 4 6 6 7 7 7 6 5 5 5 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 5 5 6 6 5 5 5 5 4 4 5 5 4 5 6 8 8 8 8 6 5 6 6 9 10 11 11 11 9 7 6 5 4 5 5 6 6 5 5 5 6 7 8 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 0 -0 0 1 0 1 2 4 6 6 6 4 3 3 4 5 6 7 8 10 12 12 13 14 14 12 8 5 3 4 5 6 6 4 4 4 5 5 5 6 6 6 7 9 9 7 6 5 4 4 4 4 4 5 6 8 9 9 8 8 6 4 4 4 5 6 6 6 6 6 6 6 6 7 8 7 7 6 6 5 5 6 6 5 4 4 3 4 4 4 4 4 5 5 4 2 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 9 13 13 11 10 8 7 7 7 11 14 7 -8 -8 -3 1 2 3 4 5 5 5 6 6 7 9 10 12 12 10 7 3 -2 -2 3 7 6 6 6 5 5 6 4 2 8 17 17 7 2 5 7 9 10 9 7 8 6 3 0 4 8 8 6 3 2 3 5 5 4 3 4 6 7 7 6 5 5 5 6 4 3 4 5 5 6 8 9 6 4 6 6 5 6 5 0 6 17 21 21 12 4 -0 6 14 15 14 13 11 9 7 8 10 10 9 6 4 5 6 7 7 6 5 4 4 4 5 6 6 6 6 5 5 6 6 6 6 5 5 6 5 5 4 4 5 4 3 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 5 6 6 5 5 4 3 3 4 4 3 4 5 7 7 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 4 3 3 3 3 3 2 2 2 3 3 4 5 6 5 4 4 4 4 4 4 3 2 2 0 -0 -0 -0 1 3 4 4 5 6 6 7 6 6 6 6 6 6 7 6 6 8 14 19 12 0 0 4 4 4 5 6 8 8 7 6 4 4 5 6 8 8 7 7 7 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 6 7 8 10 10 11 11 9 7 6 5 4 5 5 5 5 4 4 4 5 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 1 -1 -1 -0 1 3 4 5 5 4 4 3 3 5 6 6 6 7 9 12 15 19 19 16 10 5 2 2 3 4 5 5 4 3 4 4 4 4 4 4 5 7 7 6 4 4 4 4 3 3 3 4 5 7 8 9 7 7 6 6 5 4 3 3 4 5 6 6 6 6 7 6 6 6 5 5 6 6 6 7 8 7 5 4 3 4 4 4 5 5 4 5 5 3 3 3 4 4 4 3 3 3 2 2 3 3 4 4 4 3 2 2 3 3 3 4 4 4 4 6 9 10 10 10 9 7 7 7 13 17 9 -1 -2 0 1 2 3 4 5 5 6 5 6 7 9 11 11 9 7 5 3 0 1 4 7 7 8 9 5 6 10 9 3 2 8 12 8 4 4 5 6 6 7 9 9 7 5 4 11 12 8 5 4 3 2 2 4 6 6 6 7 7 7 6 5 4 4 6 5 5 7 9 12 14 13 8 5 4 6 6 4 4 3 -1 8 18 22 19 10 3 3 11 16 16 13 10 8 7 7 8 9 9 8 6 4 4 6 7 7 6 5 5 4 4 5 6 7 7 6 5 5 6 7 6 6 6 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 5 4 3 3 3 4 4 3 4 5 7 6 5 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 4 4 4 3 3 3 2 2 2 2 3 4 5 5 6 5 4 4 3 3 3 3 1 0 -2 -9 -12 -8 -9 -7 -3 1 4 5 5 6 6 6 7 6 6 6 6 6 6 5 7 12 16 10 1 1 4 4 4 4 5 6 6 7 7 6 5 6 7 8 8 7 6 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 6 6 6 5 5 5 4 4 4 5 5 5 5 5 4 5 5 6 6 5 5 7 8 8 10 11 10 9 7 5 4 5 4 5 5 4 4 3 4 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 3 0 -2 -1 0 2 3 3 4 4 3 3 3 4 4 4 4 5 7 11 16 19 18 13 8 4 2 1 1 2 3 4 4 3 2 3 3 3 2 2 2 3 3 3 2 1 2 4 3 3 2 2 3 4 6 6 5 5 5 6 6 5 4 3 3 3 4 6 6 6 5 4 4 4 3 4 5 5 6 6 7 7 6 4 4 4 4 5 5 6 5 5 5 4 4 3 4 4 5 4 3 3 2 2 3 3 3 3 3 3 3 2 3 4 4 4 3 3 4 5 7 11 12 11 9 7 7 8 14 11 3 1 1 2 2 3 3 4 5 5 6 5 6 7 9 11 10 8 6 5 5 4 3 4 6 7 8 7 3 4 7 11 11 6 4 5 6 5 6 6 3 0 3 9 9 7 6 10 16 13 5 2 2 3 2 3 6 7 7 7 6 6 6 5 3 4 5 8 9 9 11 10 8 6 8 9 9 8 7 3 1 3 2 2 10 17 21 17 9 4 6 12 15 14 11 8 6 6 8 9 9 9 9 8 4 5 7 7 7 6 5 5 4 4 5 6 6 7 6 5 6 6 7 7 7 6 6 6 6 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 5 6 7 6 6 5 4 4 3 3 4 4 4 4 5 6 7 6 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 3 3 2 2 2 3 4 4 5 5 5 4 4 3 3 3 2 0 -4 -19 -36 -31 -15 -13 -11 -7 -5 0 4 5 5 5 6 6 6 6 6 6 6 6 6 6 8 12 9 3 3 4 4 4 4 4 4 5 6 7 8 8 8 7 7 7 7 6 6 7 8 8 8 6 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 7 9 11 11 10 9 7 6 5 4 4 5 5 4 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 11 8 4 1 0 -0 1 1 2 3 3 3 3 2 2 2 3 3 4 6 10 15 15 12 9 6 4 3 2 1 1 1 3 4 3 2 2 2 1 1 1 1 1 1 1 0 1 2 4 5 4 2 1 0 1 4 4 4 3 4 4 5 5 5 4 4 3 3 4 4 5 4 4 4 4 3 3 4 4 5 5 5 6 6 5 4 4 4 4 6 7 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 8 14 13 11 9 8 8 12 11 2 -1 1 2 3 3 4 4 4 4 5 6 5 5 7 11 16 13 9 7 6 6 5 3 4 5 6 7 6 7 5 9 14 15 9 4 3 5 6 6 7 5 4 4 5 7 6 6 10 11 6 2 2 2 1 2 7 8 6 7 6 4 4 4 4 3 5 8 10 10 9 9 6 -2 -6 1 10 11 10 11 8 6 6 6 9 13 17 19 15 7 3 7 13 15 13 10 7 5 6 7 8 8 9 9 6 3 4 6 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 6 7 8 7 6 6 5 5 6 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 5 6 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 3 3 2 2 2 3 4 4 5 5 4 4 3 3 3 3 2 0 -6 -24 -42 -34 -14 -4 -2 -3 -3 0 4 5 5 6 6 6 6 6 6 5 5 5 6 6 7 8 7 6 5 5 4 4 3 4 4 4 5 6 7 9 10 9 8 7 6 5 6 7 8 9 10 9 7 5 4 4 5 6 5 4 3 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 6 5 5 6 7 10 11 12 11 10 8 6 5 4 4 5 5 5 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 10 8 6 4 2 1 1 2 2 2 2 2 2 1 2 2 2 3 5 9 13 12 8 6 6 6 5 3 1 0 1 3 4 4 2 1 1 1 0 0 0 1 1 1 1 1 4 6 7 5 2 -0 -0 1 2 3 3 3 3 4 4 4 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 4 4 5 6 6 6 4 4 4 4 6 7 6 5 5 4 4 3 3 4 4 5 5 4 3 3 3 3 3 4 4 4 4 4 5 4 3 3 4 4 5 5 10 15 13 12 10 8 10 19 12 -1 0 2 2 3 4 4 4 4 4 5 5 4 4 10 19 24 16 8 7 6 5 4 4 4 4 5 6 10 11 5 6 17 21 12 3 3 5 7 8 8 6 7 7 8 8 7 5 6 2 1 3 3 1 1 2 6 6 4 4 4 4 4 5 5 5 5 5 4 3 2 2 2 -1 -3 2 6 4 8 19 26 21 14 12 15 14 17 17 13 6 4 9 14 15 12 9 6 5 5 7 7 7 9 8 3 1 1 2 6 7 6 6 6 6 6 5 6 6 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 4 4 5 5 5 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 4 4 4 5 5 5 5 6 7 8 7 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 4 3 3 3 3 3 3 0 -8 -18 -16 -6 3 5 2 0 2 4 5 5 6 6 6 6 6 6 5 4 5 5 6 6 7 6 6 5 5 5 4 3 4 5 4 5 5 5 8 9 10 9 7 5 4 4 6 7 9 11 11 10 7 5 5 5 5 6 5 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 4 4 6 6 6 6 6 7 9 10 11 12 11 9 8 6 5 4 4 5 5 6 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 9 10 10 8 5 3 2 2 2 2 2 2 2 2 1 2 3 3 3 7 12 11 8 6 6 6 6 4 2 1 2 4 5 5 4 2 2 1 1 1 1 2 3 3 4 4 7 9 8 4 1 -0 -0 1 2 3 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 7 6 6 6 5 5 5 6 7 6 6 5 4 5 6 7 7 7 6 6 5 4 4 4 5 5 6 5 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 6 11 14 13 13 12 11 15 22 10 1 1 2 2 3 4 4 4 4 5 5 4 4 8 18 26 25 15 8 7 5 4 5 6 6 5 4 5 11 12 4 -0 11 19 15 4 3 6 7 8 8 5 3 7 12 13 8 6 4 1 3 5 3 1 2 3 1 -1 -0 1 4 5 5 6 6 5 3 0 -2 -3 -2 -2 -1 1 2 5 3 1 9 26 36 28 17 17 18 16 16 13 9 5 7 12 16 14 10 8 6 5 5 5 6 7 9 8 4 2 1 1 5 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 6 6 5 5 4 4 4 4 4 5 5 5 6 7 8 7 6 5 5 6 6 6 6 5 4 4 4 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 3 3 3 4 4 3 3 4 3 3 0 1 4 4 3 -0 -2 1 5 5 5 6 6 6 6 6 5 5 5 5 6 7 7 7 6 7 6 5 4 3 3 4 5 6 5 5 6 7 8 8 6 4 4 4 4 5 7 10 12 12 10 7 6 5 5 5 6 5 5 5 5 4 4 4 6 7 7 7 6 6 6 5 5 5 4 4 4 5 5 6 6 5 5 5 6 6 7 7 6 7 8 10 11 12 11 10 8 7 6 5 4 4 4 5 7 7 7 7 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 10 8 6 4 3 2 2 2 2 2 1 2 2 3 3 2 5 11 13 9 5 5 6 6 5 4 4 5 6 6 7 6 5 4 3 2 2 3 4 5 6 7 7 9 9 6 2 1 1 1 2 2 3 5 5 6 6 6 5 5 4 3 4 4 4 5 5 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 6 6 7 8 8 8 7 7 7 7 6 5 5 5 6 6 6 6 5 4 4 3 4 4 5 5 6 4 3 4 3 4 6 6 7 10 13 14 14 13 15 19 12 0 -0 1 2 3 3 4 5 5 5 5 5 4 6 14 23 26 20 12 9 8 5 5 6 7 7 7 7 8 9 9 4 1 6 11 12 6 4 6 6 7 7 7 4 7 13 13 9 6 5 5 6 6 3 2 5 6 -1 -3 -2 2 5 7 8 7 7 6 5 3 -0 -0 1 1 2 4 7 9 5 4 13 28 30 19 13 18 20 17 14 9 5 5 9 14 15 13 10 7 6 6 5 4 4 7 10 7 5 4 3 2 4 6 6 6 7 6 6 7 6 6 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 5 5 5 6 5 6 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 6 4 5 6 6 7 6 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 3 4 4 4 3 4 9 13 12 6 3 3 3 1 -0 -3 -3 1 5 5 5 6 6 6 6 6 5 5 6 6 6 7 8 7 7 6 6 6 4 2 3 5 6 6 6 5 6 7 7 6 4 3 4 4 4 6 8 10 12 11 9 8 6 5 5 5 5 6 6 5 5 4 4 5 6 7 7 7 7 6 6 6 5 5 5 4 4 5 6 6 6 6 5 5 6 8 8 7 6 7 9 11 11 11 10 9 8 6 6 5 5 5 6 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 7 8 9 7 5 3 2 2 2 2 2 2 2 2 2 2 3 6 12 15 10 4 3 4 5 5 5 6 6 6 6 7 7 8 7 6 5 5 6 7 7 8 8 8 8 6 3 2 2 3 3 3 3 4 6 7 6 6 6 6 5 4 3 3 4 5 5 6 7 7 6 6 6 5 5 6 6 7 7 7 7 7 6 6 7 8 9 9 8 7 7 8 8 7 6 6 6 6 7 7 6 6 5 4 4 4 5 6 6 5 4 3 3 4 4 5 6 7 10 13 14 13 14 19 16 3 -4 -4 0 2 3 3 5 5 5 5 5 5 4 8 14 18 18 15 13 11 7 5 6 6 6 7 5 5 5 5 5 6 7 9 10 9 8 5 6 8 9 9 9 6 7 10 10 7 5 6 7 7 6 4 4 4 5 2 1 1 4 8 9 9 8 8 9 9 8 6 6 6 7 8 10 15 18 12 7 14 23 21 13 10 16 19 16 10 6 4 6 10 14 13 11 10 8 6 6 5 3 3 8 9 6 5 5 5 4 4 5 6 6 7 7 8 8 7 6 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 7 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 3 4 4 5 6 7 6 5 5 5 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 6 5 5 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 9 14 16 11 6 4 3 2 2 1 -0 -1 3 6 5 5 6 6 6 5 5 5 6 6 6 6 7 7 7 6 6 7 8 6 1 2 5 6 6 6 6 7 8 7 6 5 4 4 4 4 5 6 8 10 11 11 9 7 7 5 4 5 6 6 6 5 4 4 4 5 6 6 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 6 5 6 7 8 8 6 6 8 10 11 11 11 10 9 8 7 7 6 6 7 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 6 6 6 7 7 5 4 3 3 2 2 2 3 2 2 2 3 6 10 15 16 10 4 2 3 3 5 5 5 6 6 6 6 7 7 7 8 8 8 10 11 10 9 7 5 4 3 3 4 5 6 6 5 5 6 7 7 6 6 6 6 5 5 4 3 3 4 5 6 7 6 6 5 4 4 4 5 5 5 6 6 5 5 5 6 8 8 8 7 5 5 5 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 4 3 3 3 3 3 5 7 10 13 14 14 12 14 17 9 1 -0 -4 1 3 3 4 5 5 5 5 5 5 5 6 9 10 11 12 12 11 9 8 7 5 5 6 3 -0 -0 2 5 7 9 10 10 10 8 7 6 8 12 11 9 8 6 6 4 3 5 8 9 8 6 4 4 2 1 3 3 4 7 9 9 8 8 9 10 10 11 10 9 11 12 11 11 18 24 16 8 8 11 12 10 10 13 13 8 3 4 6 7 11 13 12 11 10 8 6 6 4 3 4 9 9 5 4 5 7 7 6 5 5 6 7 9 9 9 8 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 3 3 4 4 4 3 3 4 5 5 6 6 5 5 6 7 8 7 6 6 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 6 5 5 5 6 6 6 6 6 5 5 4 4 5 5 5 5 4 4 4 4 4 4 6 9 9 6 5 5 5 4 4 4 2 1 4 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 6 7 6 8 8 5 3 4 6 6 6 6 7 8 8 6 5 4 4 5 5 5 6 6 8 10 11 10 9 8 7 6 6 6 6 6 5 4 4 4 3 4 5 5 6 7 7 7 7 7 6 5 5 4 4 5 6 7 6 6 6 7 9 8 6 6 7 9 10 11 12 11 11 9 8 8 8 8 8 9 9 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 7 7 6 6 6 6 5 5 4 3 2 3 3 2 3 3 4 8 13 16 14 9 4 2 1 2 3 4 4 4 4 5 5 5 6 6 7 8 9 11 13 13 10 6 3 2 3 4 6 7 8 8 8 8 8 7 6 6 6 6 6 6 5 4 4 4 4 4 5 6 5 4 4 3 3 3 3 4 4 5 5 5 5 6 6 7 6 5 3 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 3 2 4 8 13 18 19 15 11 9 14 12 1 1 2 0 2 3 4 5 5 5 5 5 6 6 6 4 4 5 7 9 10 11 10 10 8 5 6 7 3 -1 1 6 7 4 3 5 8 9 8 7 7 7 13 13 11 11 8 4 1 2 6 9 10 7 5 4 3 2 2 4 4 6 8 10 10 8 10 12 11 11 11 10 10 13 17 14 8 11 17 13 8 4 2 5 9 13 12 5 -2 0 8 10 8 11 12 11 10 9 7 6 5 4 3 6 9 8 5 4 5 9 11 8 4 4 6 8 9 10 10 8 6 5 5 5 5 4 4 5 5 6 5 5 6 6 6 6 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 3 3 4 6 6 6 6 5 5 6 6 8 9 9 8 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 5 4 5 5 5 5 5 5 5 5 4 4 2 -1 -2 3 6 6 5 5 5 6 6 5 5 0 -0 5 6 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 6 7 8 9 7 4 5 6 6 6 6 7 8 8 6 5 5 5 5 6 6 6 5 5 7 9 11 11 10 8 7 6 7 6 6 5 4 4 4 3 3 3 4 5 6 6 6 7 7 6 6 6 6 5 5 6 7 7 6 5 7 9 8 6 5 5 7 9 10 11 12 12 11 10 9 8 9 9 11 11 11 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 12 11 11 10 9 8 7 7 8 8 7 5 4 3 3 3 3 3 4 7 11 13 10 6 3 2 2 2 2 2 2 3 3 3 4 4 5 5 6 7 8 9 12 14 13 8 5 4 5 7 8 8 8 9 9 8 7 6 5 5 6 7 7 7 6 6 5 4 4 4 3 3 4 3 3 3 3 2 3 3 4 4 5 6 6 7 7 6 4 2 1 1 1 1 1 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 3 4 9 17 22 26 21 12 7 6 12 7 -2 -1 3 3 3 4 5 5 5 5 5 5 6 6 6 4 2 2 4 8 10 9 8 9 7 5 8 10 7 0 2 8 8 5 1 1 5 7 8 7 7 7 11 16 16 14 10 5 2 4 8 10 8 5 4 4 3 3 3 5 5 7 9 10 11 8 14 18 12 9 9 10 10 14 18 13 6 4 6 8 8 7 6 7 11 12 8 0 0 11 19 15 9 10 10 10 10 8 7 5 5 4 5 7 8 7 5 5 8 12 15 9 3 3 6 8 10 11 10 9 7 6 5 5 5 5 4 4 5 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 5 7 8 7 6 5 4 5 7 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 8 9 9 9 9 8 8 7 7 6 6 5 5 5 5 6 6 5 5 4 3 -1 -5 -2 3 5 5 5 5 5 6 6 6 5 3 3 5 5 5 6 6 8 9 8 6 5 4 4 4 5 6 6 6 6 6 8 9 6 4 5 6 6 6 6 7 8 8 6 5 5 5 6 7 7 6 5 5 5 7 10 12 11 8 7 6 6 6 5 5 5 4 3 3 3 3 3 3 4 4 5 6 6 6 6 6 6 6 6 5 6 7 6 5 7 7 6 6 6 5 4 6 8 10 11 11 11 10 9 8 8 9 12 13 12 13 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 14 14 13 12 12 11 10 10 11 12 12 10 7 5 3 3 4 4 4 6 8 9 7 4 3 3 3 2 2 1 1 2 3 3 3 4 4 5 5 6 6 7 9 13 15 12 9 7 7 7 7 7 7 7 7 6 5 5 4 4 5 6 7 7 7 7 6 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 6 7 8 7 6 3 1 1 1 1 1 2 2 2 2 3 3 3 4 3 3 3 3 4 4 5 5 4 3 3 4 4 6 9 17 24 26 26 19 10 7 9 9 2 -4 -1 3 3 4 4 5 5 5 5 5 5 5 6 5 5 4 3 5 9 11 10 7 6 6 5 7 11 10 2 2 4 5 6 5 5 5 6 7 7 7 8 10 16 19 14 9 6 5 7 9 8 4 3 3 3 3 4 5 5 5 7 9 9 10 7 14 17 11 7 7 9 12 15 16 14 11 7 5 8 8 10 12 13 11 10 8 7 16 27 27 16 10 9 10 10 9 8 7 6 6 5 6 8 8 6 6 7 10 14 14 6 1 3 6 8 9 11 10 9 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 4 4 3 4 7 10 9 6 5 4 4 6 7 7 8 8 7 7 8 8 8 8 8 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 8 8 9 10 11 10 9 9 9 8 8 7 7 6 6 6 6 5 5 6 5 4 3 2 0 1 4 5 5 6 6 6 6 5 5 5 3 3 5 6 6 6 6 7 8 11 10 6 3 1 1 2 4 6 6 6 6 8 9 8 3 3 6 6 6 6 8 8 7 5 5 5 5 6 7 8 7 6 5 5 7 9 10 10 8 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 5 6 6 6 6 6 5 5 6 5 5 5 5 6 6 5 5 4 5 6 7 8 9 9 9 9 7 7 8 10 12 12 12 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 12 12 11 10 11 12 12 12 15 18 19 16 12 8 6 6 5 5 5 6 7 8 7 5 4 3 3 2 2 2 2 2 3 3 4 4 5 5 5 5 6 6 7 11 14 13 10 8 6 6 6 6 6 5 5 4 4 4 4 4 4 5 7 7 7 7 7 7 6 5 4 4 3 3 3 4 4 5 5 5 4 4 5 6 7 8 7 5 3 2 2 2 2 2 3 2 2 2 3 3 3 4 4 3 3 4 4 4 4 3 3 2 3 6 8 11 15 20 22 20 18 17 15 15 15 5 -3 -2 2 4 4 5 4 4 5 5 5 5 5 5 5 6 7 7 8 8 10 12 11 7 6 6 5 6 9 9 6 3 4 6 7 7 7 6 6 6 6 6 7 10 16 18 14 8 8 8 8 7 3 2 3 3 3 4 4 5 5 5 8 8 9 8 8 10 9 8 7 5 7 12 14 13 15 20 15 9 8 5 7 11 13 12 10 11 15 26 31 25 15 10 8 9 10 8 8 7 7 6 5 7 8 8 6 6 8 13 16 10 3 1 4 7 8 9 11 10 8 7 6 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 5 5 6 6 5 4 4 4 4 4 5 5 5 5 4 3 3 4 3 2 2 3 4 4 3 3 6 9 10 7 5 3 3 4 5 6 6 6 6 6 7 8 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 8 9 9 10 10 11 10 10 9 9 9 8 8 8 7 7 6 5 5 5 5 5 6 8 10 8 6 4 5 5 6 6 7 7 6 5 4 1 -1 3 5 6 6 6 5 6 11 15 11 3 -0 -2 -2 0 3 5 6 7 7 9 10 6 3 7 7 6 6 8 8 7 5 5 5 5 6 7 8 7 6 5 5 7 9 10 9 7 6 6 6 5 5 5 6 6 6 6 5 6 6 5 4 3 2 2 2 4 5 6 6 6 5 5 5 4 5 5 5 5 5 4 5 5 5 5 6 6 7 8 8 8 7 6 6 6 7 9 11 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 8 7 6 7 8 9 10 11 15 19 20 19 16 14 11 10 9 8 7 7 8 8 8 6 5 4 4 3 3 4 4 4 4 4 4 5 5 5 5 6 7 8 7 9 12 12 8 6 5 6 5 5 5 4 4 4 3 3 3 3 3 4 5 6 7 7 7 8 7 6 6 5 5 5 5 5 6 7 6 6 6 5 5 6 6 7 5 4 3 2 2 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 5 8 11 13 15 16 19 21 17 13 16 23 23 15 -0 -5 1 4 5 5 5 5 4 4 5 5 5 5 5 8 10 10 10 11 10 9 11 10 8 5 5 6 7 8 8 7 5 6 6 6 9 7 6 6 5 4 4 5 7 12 15 14 8 8 9 8 4 2 2 3 3 4 5 6 5 4 5 8 8 9 8 10 9 5 5 7 8 8 11 11 9 10 15 16 11 3 0 3 7 11 11 8 9 15 23 24 18 12 9 8 9 10 9 8 7 6 6 7 7 7 7 6 6 9 15 16 8 1 2 6 7 8 9 10 9 8 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 7 9 8 5 4 3 3 4 5 5 5 5 5 6 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 6 7 8 9 9 10 10 10 11 10 10 10 9 9 10 10 9 8 7 6 5 4 4 4 4 5 10 14 10 6 5 7 5 5 6 7 7 6 5 4 2 -0 1 4 6 6 6 5 5 7 14 14 8 3 -0 -3 -3 -1 2 5 7 7 8 8 7 6 7 6 6 7 8 8 7 6 5 6 6 6 7 7 7 5 5 5 7 9 10 10 9 8 7 8 8 8 9 9 8 7 7 6 7 7 7 6 5 3 3 3 4 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 7 8 8 8 7 5 4 4 6 7 8 9 10 10 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 7 7 8 12 14 14 15 17 17 16 15 13 12 10 10 9 9 8 7 6 5 4 4 5 6 5 5 5 4 5 5 6 6 5 7 9 10 9 9 9 9 6 4 4 5 5 5 4 4 4 4 3 3 2 3 3 4 4 5 6 7 8 8 8 8 7 6 5 6 6 6 8 8 9 8 7 7 6 6 6 5 4 3 2 2 3 4 5 6 5 5 4 4 5 5 5 5 5 5 5 5 4 3 4 7 12 18 21 18 14 12 12 17 24 24 18 19 23 17 6 -4 -5 2 5 5 5 4 4 5 5 4 5 5 5 10 17 18 14 12 12 11 9 9 10 8 6 5 6 7 6 2 2 5 7 7 9 9 6 4 3 3 1 0 2 5 9 13 14 11 9 9 6 3 3 4 3 4 5 6 7 6 5 7 8 8 9 7 10 10 9 5 6 10 10 9 9 10 6 4 11 15 4 -3 2 6 6 8 9 10 14 19 18 14 10 8 9 9 10 9 8 6 6 7 8 8 7 7 6 6 10 14 12 4 0 4 7 7 8 9 10 9 8 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 6 6 5 5 5 5 4 3 3 4 4 5 5 5 5 4 4 3 3 3 4 6 7 7 6 5 6 8 8 8 6 5 5 4 4 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 6 7 7 7 8 8 8 8 8 7 7 6 7 8 9 10 10 10 10 10 11 11 11 10 11 11 11 10 8 6 5 4 4 4 5 4 1 4 11 9 5 6 7 6 4 4 6 7 7 6 5 5 3 3 4 6 6 6 6 5 5 8 11 11 9 7 5 3 3 3 5 7 8 9 7 6 7 7 6 6 7 8 8 7 6 6 6 6 6 6 6 6 6 5 5 7 10 11 11 10 10 10 11 11 13 13 13 12 10 8 7 6 6 8 9 7 6 7 7 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 9 9 8 5 4 3 4 6 6 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 13 11 9 7 6 5 6 7 7 7 8 9 13 16 16 15 14 12 11 10 10 10 10 8 6 5 5 5 6 6 6 5 5 5 5 5 6 5 5 7 10 12 11 8 6 6 5 4 3 4 5 5 4 4 3 3 3 3 2 2 3 4 4 4 5 6 7 7 8 8 7 7 6 7 7 8 8 9 10 9 8 8 7 7 6 5 4 3 3 4 6 6 7 7 6 5 5 5 5 5 5 5 6 6 6 5 4 5 9 16 26 33 31 20 10 7 9 15 22 28 23 14 11 6 1 -2 -0 4 5 5 5 4 4 4 4 4 4 5 7 14 20 19 15 12 11 11 10 9 10 10 8 5 5 4 1 -2 1 8 8 7 8 6 6 5 3 2 -1 -1 1 3 6 12 14 12 9 7 4 3 5 4 4 5 6 7 7 6 5 6 7 8 8 7 7 8 9 7 7 11 10 7 9 13 8 3 10 17 10 4 5 2 3 11 14 14 15 17 15 11 9 9 9 9 10 9 7 6 6 7 7 8 7 7 6 7 10 13 8 1 1 6 8 8 8 9 9 9 8 7 6 5 6 6 6 6 7 6 6 5 5 6 6 6 6 6 5 4 4 4 3 3 3 4 5 6 5 5 4 4 4 3 3 4 6 10 12 11 10 9 9 9 8 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 8 8 8 8 7 6 6 6 7 9 10 10 10 9 9 10 11 12 12 12 12 12 10 9 6 5 4 4 5 5 7 10 7 3 6 6 6 5 5 6 4 1 5 10 9 6 6 6 6 5 5 5 6 6 6 6 6 6 6 8 10 10 9 10 9 7 6 6 7 8 8 8 8 7 6 6 7 8 8 6 5 6 7 7 6 6 6 5 5 5 5 7 9 11 11 10 10 11 12 13 15 16 16 14 12 10 8 7 7 7 8 8 8 9 11 11 10 9 8 7 6 6 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 6 7 8 7 6 4 4 5 6 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 13 13 11 9 7 6 6 6 5 4 4 5 7 10 11 11 11 10 9 8 8 9 11 10 8 6 5 5 5 6 6 5 5 5 5 6 5 4 4 6 10 13 10 6 3 2 3 4 4 5 5 5 4 3 2 2 2 2 3 3 3 4 4 5 5 6 6 6 6 6 7 6 6 6 7 7 7 8 9 9 9 9 9 8 7 6 5 4 5 6 8 9 9 9 8 6 6 6 5 5 5 5 6 6 5 5 8 12 16 20 26 28 23 11 3 4 8 14 16 19 17 4 0 1 1 2 3 5 5 5 4 3 3 4 4 4 6 10 14 16 15 12 10 9 9 11 12 10 8 10 8 5 3 3 2 2 5 9 7 3 3 4 6 6 6 6 2 -0 2 2 3 10 13 11 6 3 2 3 4 5 5 7 7 7 7 6 5 5 5 7 8 9 8 7 6 6 8 10 7 2 3 7 7 6 10 14 11 8 6 0 4 16 22 18 17 16 13 11 10 9 9 9 9 8 7 6 6 7 8 7 7 6 6 8 11 10 4 1 3 7 9 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 4 4 3 2 2 2 4 6 7 6 5 4 5 4 4 3 4 7 11 14 13 11 10 9 8 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 6 6 6 6 6 7 7 7 8 8 8 8 7 6 6 6 7 8 9 10 10 9 8 9 10 12 13 13 12 11 10 10 7 5 4 4 5 5 4 6 14 16 8 4 6 6 5 6 6 5 4 7 11 9 6 6 6 5 5 5 5 5 5 6 6 6 6 5 6 7 7 7 8 7 7 6 6 6 7 8 8 7 6 6 6 8 9 7 5 6 7 7 7 6 5 5 5 5 5 5 7 8 10 10 8 9 9 11 12 14 15 15 15 14 13 11 10 9 8 7 7 8 8 10 12 11 9 7 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 6 5 6 5 5 5 6 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 11 11 9 8 8 7 7 6 4 3 3 4 5 7 9 10 10 9 8 7 8 10 12 11 9 7 6 6 6 5 5 5 5 5 6 6 5 4 6 10 12 9 4 2 1 3 4 5 5 6 5 5 4 2 2 2 2 2 3 3 4 4 4 6 7 6 5 5 5 5 5 5 5 6 6 7 7 7 7 8 8 9 9 8 8 6 7 7 9 10 10 10 10 9 9 8 6 5 5 5 5 5 4 6 14 20 20 18 16 14 10 5 1 2 5 8 10 9 1 -1 -0 -1 -0 1 3 4 5 5 4 3 3 4 4 4 7 13 19 22 18 11 7 6 6 5 7 8 10 9 10 8 5 3 5 9 8 5 5 5 3 4 4 4 6 8 9 7 4 3 1 2 8 13 11 4 1 2 3 3 4 6 8 8 8 8 6 4 4 5 6 9 11 10 9 6 6 8 9 5 -3 -7 -4 1 5 7 10 12 11 8 5 8 17 24 20 17 14 12 11 10 9 9 9 9 8 7 6 6 7 7 7 6 5 6 8 11 10 5 2 5 8 9 8 7 8 8 8 8 7 6 6 7 6 6 6 5 5 5 4 5 5 5 5 5 5 4 4 3 3 2 1 2 4 6 7 6 5 5 5 5 4 3 4 6 7 9 10 9 8 6 5 5 5 5 5 4 5 5 5 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 7 7 5 5 6 7 8 9 10 10 9 8 8 10 11 12 11 10 10 9 7 6 5 4 4 4 4 1 -1 8 14 9 4 6 6 6 6 7 6 7 7 7 6 7 6 5 5 6 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 5 5 7 9 9 6 6 6 7 7 6 6 5 5 6 6 5 5 7 8 9 8 7 7 8 9 10 11 12 13 14 15 14 14 14 13 11 9 9 8 7 7 7 8 8 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 8 9 9 9 9 9 10 9 8 6 5 3 2 3 5 8 10 11 12 10 9 8 9 12 13 12 11 10 10 8 6 5 5 5 5 6 6 6 5 6 9 11 9 5 2 2 3 5 6 6 7 6 5 4 2 1 1 1 2 3 3 4 4 4 5 6 7 6 6 5 4 4 4 4 5 5 6 5 5 5 5 6 8 9 9 9 8 8 8 9 9 8 7 8 9 9 9 8 8 8 6 4 4 6 13 26 29 22 15 10 6 2 1 3 6 7 7 5 1 -12 -19 -5 -0 1 2 3 4 5 5 4 4 3 4 5 8 14 20 22 19 13 9 6 5 5 4 3 4 8 12 11 8 3 2 5 11 9 4 4 6 5 3 4 5 5 8 11 11 8 4 1 0 5 11 10 4 1 1 2 3 4 6 7 9 9 10 8 5 5 5 6 9 9 10 10 7 6 14 16 8 -2 -8 -7 -1 3 4 8 13 15 12 11 11 14 16 15 13 12 11 11 9 9 9 9 8 8 7 6 6 7 7 6 6 5 5 7 11 10 5 2 6 9 9 8 7 7 8 9 8 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 4 3 3 2 1 1 2 5 7 7 7 6 6 6 5 3 4 4 5 4 4 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 7 7 7 7 7 6 6 5 5 5 7 8 9 10 9 8 7 7 9 10 10 9 8 7 7 6 5 4 3 3 3 3 -1 -4 1 8 7 6 6 6 6 6 5 5 5 5 5 5 7 6 4 5 6 6 6 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 5 5 6 10 10 8 6 6 7 7 7 6 5 5 6 6 6 6 6 7 8 8 6 6 6 7 7 8 9 9 10 11 13 14 15 15 15 15 14 13 11 8 6 5 6 7 7 6 6 5 5 6 6 5 5 5 6 6 6 6 6 5 4 4 4 4 5 5 6 6 6 7 7 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 9 9 9 10 10 10 11 11 9 8 6 4 3 5 7 10 11 12 12 11 8 8 10 13 14 13 13 13 11 10 7 6 6 6 6 6 6 6 6 8 11 10 6 4 4 5 6 7 8 7 7 5 4 2 1 1 1 2 3 3 4 4 4 5 6 7 7 6 5 4 3 3 4 4 5 5 4 4 3 4 4 6 8 9 9 8 8 7 6 5 4 4 5 6 7 8 9 10 10 7 5 6 10 18 25 22 15 11 8 5 3 4 6 10 14 11 6 -1 -13 -24 -13 -0 1 2 4 5 5 5 4 4 4 4 8 14 20 20 16 11 9 8 8 7 7 6 5 5 6 9 10 7 3 1 2 8 8 5 5 6 7 5 5 5 5 6 9 11 10 7 4 2 4 8 8 5 2 2 2 2 5 6 6 8 8 8 7 6 6 6 7 8 9 9 9 6 7 16 15 8 2 -1 -2 1 2 3 6 10 12 12 11 10 10 11 12 12 11 11 10 9 9 9 9 8 7 7 6 6 7 6 6 6 5 5 8 11 8 2 1 6 8 8 7 7 7 8 8 7 7 6 5 5 5 5 6 5 5 4 4 5 5 5 5 5 4 4 3 3 2 1 2 3 5 6 7 7 7 7 6 5 3 4 5 5 4 3 3 4 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 5 5 6 6 7 7 7 6 6 6 6 5 5 5 6 8 9 10 9 8 6 7 7 8 8 7 6 6 6 6 5 3 3 2 2 4 1 0 2 5 6 6 5 5 5 5 4 4 4 5 6 7 6 5 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 6 4 5 8 11 10 7 6 6 7 7 7 6 6 6 5 6 6 6 6 8 8 7 6 5 5 6 6 7 7 7 8 8 9 11 12 13 15 16 16 17 15 12 8 7 7 7 8 8 8 8 7 6 6 5 5 6 6 6 6 7 7 6 5 4 4 4 5 5 5 6 5 6 7 7 7 6 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 8 8 8 8 9 10 11 11 10 10 9 7 5 6 8 10 10 10 10 9 7 6 8 10 12 11 12 13 13 12 10 8 7 6 6 7 7 7 7 8 9 10 9 7 6 6 7 8 8 8 6 5 4 2 1 2 2 3 3 3 3 4 4 4 5 6 7 7 6 5 4 4 4 5 5 5 5 4 3 3 4 5 6 7 7 6 5 4 3 1 1 2 2 4 4 5 7 8 8 6 8 14 17 15 10 4 4 7 7 6 6 6 9 17 23 19 11 5 -2 -13 -11 -1 1 3 4 5 5 4 3 3 4 5 12 18 19 16 12 9 8 8 9 8 8 7 7 8 6 5 5 5 6 4 5 7 7 6 5 6 8 9 8 6 4 5 7 9 10 9 6 5 2 2 3 4 4 3 2 3 5 5 5 6 6 3 3 6 6 7 8 9 9 10 9 8 9 10 7 5 5 5 3 2 2 3 5 7 8 9 9 9 10 10 11 12 11 11 10 8 8 9 9 8 7 6 6 6 6 6 6 5 5 5 8 10 7 1 0 6 9 8 7 6 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 3 2 3 3 2 3 4 5 6 7 8 8 7 6 4 3 3 5 6 5 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 7 7 7 6 6 6 6 6 5 5 5 5 7 9 9 8 7 5 5 5 6 6 5 5 5 5 5 4 4 4 4 5 6 5 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 6 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 4 6 10 11 8 6 5 6 6 6 7 6 5 5 6 6 6 5 6 7 8 7 5 4 5 5 5 6 7 7 6 6 7 7 8 10 11 13 16 19 19 15 11 9 8 8 10 11 12 11 10 9 7 7 6 6 6 6 6 7 7 8 7 5 4 4 5 5 5 5 5 5 6 7 7 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 6 7 8 9 10 10 9 9 8 7 8 10 11 10 8 7 7 5 4 6 8 8 8 10 12 12 12 11 10 9 7 7 6 7 7 8 8 8 10 10 9 8 8 8 8 9 8 6 4 3 2 2 2 3 3 3 3 3 4 4 4 5 6 6 7 7 7 6 5 5 5 5 5 5 5 5 4 4 5 4 3 3 3 4 3 3 2 1 1 2 3 3 3 3 4 4 7 13 17 15 7 -1 -2 2 6 7 8 8 6 11 17 21 19 13 9 5 -1 -2 1 2 3 4 5 4 3 3 3 3 6 12 16 16 14 11 9 7 7 8 8 9 7 8 8 7 5 5 6 9 8 9 6 5 5 4 5 6 6 8 8 7 5 5 7 8 10 8 7 4 -1 -1 2 4 4 3 4 5 5 5 5 5 2 2 5 4 6 8 10 11 10 10 11 13 8 4 3 5 6 5 4 2 3 6 6 7 7 8 9 10 11 11 12 11 10 10 8 8 9 9 8 7 7 7 6 6 6 6 5 4 5 8 10 7 1 1 7 9 7 6 6 7 7 7 7 6 6 5 5 6 6 6 6 5 5 6 6 6 6 6 5 4 3 2 2 3 3 3 4 5 6 7 8 8 7 5 4 3 3 5 6 6 5 5 4 3 3 3 3 3 4 5 5 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 5 6 8 8 8 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 8 9 8 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 4 4 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 6 7 7 7 7 6 4 4 8 11 10 6 5 5 6 6 6 6 5 5 6 6 6 6 5 6 7 7 7 6 5 4 5 5 5 5 6 6 6 6 6 6 7 7 9 12 16 18 16 13 11 10 10 11 13 15 14 13 12 10 10 10 9 7 7 6 6 8 9 8 6 5 5 5 4 5 5 5 5 6 6 7 8 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 4 4 4 4 4 6 7 9 9 8 8 7 7 8 10 10 10 9 7 6 5 5 5 6 6 7 8 9 10 11 11 11 10 9 8 7 6 7 7 8 8 8 10 10 10 9 8 8 8 7 6 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 7 8 7 6 6 5 5 5 5 5 5 5 4 3 2 1 1 2 3 5 5 4 2 3 3 3 3 3 2 2 5 9 13 12 7 3 0 2 3 5 8 9 9 6 7 6 7 7 6 8 5 2 1 3 3 4 4 4 3 2 2 4 6 8 11 13 14 15 13 10 6 5 6 7 8 7 8 8 7 7 7 8 7 8 9 7 5 4 4 5 6 5 7 11 10 7 7 7 6 7 9 8 6 3 0 1 3 3 3 3 4 5 5 5 5 4 4 3 4 7 9 11 12 11 9 10 14 9 4 3 3 3 3 1 1 3 6 7 7 7 7 8 9 10 11 12 11 10 9 8 9 9 9 8 8 7 7 7 6 6 6 5 5 6 7 8 6 4 5 7 6 6 6 6 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 7 6 7 6 6 4 2 2 3 4 4 3 3 3 4 6 8 8 7 5 4 3 3 4 5 6 6 5 4 4 3 3 3 3 4 5 5 4 4 5 5 6 6 5 5 6 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 4 5 6 7 7 7 6 5 3 3 3 3 3 3 3 4 4 4 5 5 7 14 16 11 7 5 5 5 5 5 5 4 5 6 8 8 7 7 7 7 5 5 5 6 6 6 6 7 7 6 7 7 7 7 6 6 6 7 7 6 6 7 7 7 5 4 4 8 10 8 5 5 5 6 5 6 5 5 6 6 7 7 6 6 5 6 6 6 6 5 4 4 4 4 5 5 5 6 6 6 5 5 6 7 9 11 13 14 14 12 10 10 11 13 14 14 14 13 13 13 13 11 9 8 7 7 9 10 10 8 7 6 5 4 5 5 4 5 5 6 7 7 8 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 5 4 3 3 4 4 6 7 8 7 6 6 6 7 8 10 10 10 8 8 7 7 6 6 7 6 6 8 9 10 12 12 12 11 10 8 7 7 7 7 7 8 9 10 11 10 9 8 7 6 6 4 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 7 8 8 7 5 5 4 5 5 5 5 4 3 2 1 1 2 4 6 7 5 4 3 3 3 4 3 3 4 6 9 9 7 5 3 4 7 6 7 9 10 10 7 3 1 2 -1 -1 5 5 4 3 3 4 4 4 3 2 4 7 12 18 16 12 11 12 15 15 12 7 4 4 7 6 6 6 8 8 6 8 7 5 6 7 8 8 6 6 6 8 7 6 10 11 10 10 9 7 6 8 8 7 6 5 3 3 3 4 3 4 5 5 6 5 5 5 4 6 8 9 10 10 10 8 9 11 8 5 5 3 -0 -1 1 4 7 8 7 6 5 5 6 7 9 10 11 10 9 8 8 9 9 9 8 8 8 7 7 7 6 5 4 5 6 6 6 7 10 10 5 3 4 5 6 6 6 6 6 7 6 7 8 7 7 6 6 6 7 7 7 7 7 7 6 3 2 3 4 5 5 4 2 2 4 7 8 8 6 5 4 4 3 4 4 5 6 6 4 4 4 3 3 3 4 4 5 5 5 6 6 6 6 6 5 5 6 6 5 5 5 6 6 6 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 6 7 7 7 6 5 4 3 2 2 3 3 3 4 5 5 5 6 11 18 19 12 6 5 5 5 5 5 5 5 6 7 8 8 8 7 7 7 6 6 5 5 6 7 6 7 7 7 8 7 7 7 6 6 6 7 7 7 6 7 7 7 6 4 5 7 9 7 5 5 5 5 6 5 5 6 6 6 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 5 6 6 7 8 9 10 11 12 11 10 11 11 12 12 12 13 13 14 14 14 12 9 8 8 11 13 14 12 10 7 6 6 5 5 4 4 4 5 6 6 7 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 9 8 6 5 4 3 3 4 5 7 8 8 6 6 6 7 8 10 10 10 10 10 10 10 9 8 7 7 8 9 10 13 15 15 14 12 11 9 7 7 8 8 8 7 8 10 11 9 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 5 5 6 6 5 5 7 8 9 7 6 4 4 5 5 6 6 5 4 3 2 2 3 5 8 9 7 5 4 3 3 4 5 8 9 8 6 3 2 3 3 6 9 8 9 11 11 11 9 8 7 7 8 11 13 10 6 5 4 5 4 3 2 3 10 20 26 28 24 15 9 8 10 13 12 8 5 4 6 6 5 5 8 9 6 6 6 7 7 7 8 10 10 8 7 8 6 1 4 9 11 12 11 9 7 7 7 8 8 7 7 5 4 4 4 4 4 5 5 4 4 4 4 7 7 8 10 9 9 9 9 7 5 6 8 6 1 0 6 11 11 10 7 5 3 3 5 7 9 10 10 10 9 8 8 9 9 9 8 7 7 7 7 6 6 5 4 5 5 7 8 11 11 7 3 2 3 4 5 6 6 6 6 6 7 8 8 8 6 6 6 6 6 7 7 8 8 7 5 3 3 4 6 6 5 3 1 2 5 8 9 8 6 6 5 4 3 3 4 5 6 7 6 4 4 4 3 3 4 5 5 5 6 6 6 6 6 6 6 5 6 6 5 5 5 6 6 7 7 7 7 6 6 6 6 7 6 5 6 6 6 6 6 6 5 4 5 6 6 6 6 6 6 4 3 3 3 3 4 4 4 5 5 6 6 11 15 13 10 6 5 5 5 5 5 5 5 6 7 8 8 8 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 6 4 5 7 9 7 4 4 5 5 5 5 6 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 7 8 8 9 9 10 10 10 11 10 10 11 12 12 13 14 14 13 12 10 10 12 15 17 17 14 10 8 7 7 6 6 5 5 5 5 5 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 11 11 9 7 5 3 2 2 3 6 9 11 9 7 6 6 7 8 9 9 11 12 13 13 13 12 11 9 9 10 11 13 16 17 16 15 14 11 9 9 9 10 9 8 8 9 10 10 8 6 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 5 6 6 6 5 6 8 9 8 5 4 4 4 5 6 7 7 6 6 5 5 5 7 9 10 9 7 5 5 4 5 8 13 12 6 2 0 -1 1 2 4 7 8 10 10 11 12 12 11 9 12 22 29 23 13 7 5 5 4 3 2 1 4 14 23 27 25 21 14 7 6 7 9 9 8 6 5 5 6 5 5 8 9 7 5 5 7 9 8 9 10 11 10 8 7 7 3 3 8 11 12 11 11 9 9 8 8 8 8 7 5 4 4 4 4 4 4 4 3 2 3 5 7 6 8 10 9 12 14 12 7 5 5 6 5 4 5 8 12 10 7 6 4 4 4 6 8 10 10 10 10 10 9 8 9 9 8 8 8 7 7 7 6 6 5 4 4 6 8 10 10 7 4 3 2 3 3 3 4 5 5 6 7 8 8 8 8 7 6 6 6 6 7 7 7 8 7 5 5 5 5 6 6 5 3 2 3 6 8 9 8 7 6 6 5 4 3 4 5 7 7 6 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 6 6 5 5 4 5 6 6 6 6 7 6 5 4 4 4 4 4 4 4 4 5 5 5 11 15 12 8 7 5 5 5 5 5 5 6 6 8 8 8 8 7 8 8 7 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 6 5 6 8 8 6 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 3 3 4 3 4 4 5 5 5 6 5 5 5 6 6 7 7 8 8 9 10 10 11 10 10 11 12 11 12 14 14 13 13 12 13 15 17 17 15 12 10 9 9 8 8 8 7 6 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 9 11 11 9 6 4 2 1 2 5 9 13 13 10 7 6 6 7 8 9 10 11 13 13 13 13 12 10 8 9 9 11 14 16 16 17 16 14 13 13 12 12 12 11 10 9 10 10 9 7 6 6 6 5 5 4 3 3 4 3 3 3 3 4 4 5 7 7 7 6 6 7 9 8 5 4 3 3 5 6 8 9 9 10 10 9 8 8 9 10 9 8 7 7 7 6 9 8 3 2 1 2 2 3 4 4 6 7 9 11 14 15 15 12 10 17 27 27 17 8 5 4 4 3 2 1 2 6 11 14 16 17 16 12 7 6 8 8 9 7 6 6 6 6 5 5 7 8 8 6 5 7 7 7 8 7 8 8 6 6 8 8 5 8 11 12 10 9 9 11 10 9 8 8 5 3 3 3 4 5 6 5 5 3 3 3 5 6 4 6 10 13 15 16 15 12 9 6 2 -0 3 5 5 6 6 6 6 7 7 8 8 9 9 10 10 11 10 9 9 9 9 8 8 7 7 7 7 7 6 5 4 4 6 9 10 9 7 5 3 2 3 4 3 3 4 4 6 8 8 8 8 8 7 6 5 6 7 7 7 7 8 8 7 5 6 6 6 5 3 3 3 5 8 9 8 7 7 7 7 6 5 5 5 6 7 7 6 5 5 4 4 5 5 5 6 6 6 6 6 6 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 7 7 6 5 5 4 4 4 4 4 4 4 5 5 7 13 19 17 10 7 6 5 6 6 6 6 6 6 7 8 9 8 8 9 7 6 6 5 6 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 7 6 6 7 6 5 5 8 8 6 5 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 8 9 10 11 11 10 10 11 11 11 12 14 14 14 14 14 15 15 15 14 11 10 10 9 9 9 9 9 9 8 7 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 6 8 9 9 8 5 3 3 3 4 8 13 15 12 9 6 5 6 7 8 8 7 8 9 9 9 8 7 7 7 7 8 10 13 14 14 15 16 15 14 12 11 13 15 15 14 12 11 9 7 6 6 6 6 5 3 3 4 4 3 3 3 3 3 5 6 7 8 8 7 6 6 8 8 6 4 3 4 5 7 8 8 10 12 12 11 9 9 8 7 7 7 8 9 9 8 7 3 1 3 4 5 5 6 7 5 4 7 10 15 20 20 18 19 25 30 25 14 8 4 3 4 3 2 0 1 4 7 8 8 10 13 14 11 8 7 9 9 9 8 7 6 6 6 4 5 6 6 7 4 2 4 6 7 7 5 4 5 5 5 6 7 7 8 12 13 10 8 8 10 12 10 9 8 5 3 2 2 4 6 7 7 6 5 4 4 5 4 3 3 10 14 10 10 14 15 13 9 2 -1 2 6 6 4 5 6 7 9 10 10 9 9 9 10 10 11 10 9 9 9 9 8 7 7 7 7 7 7 6 5 5 5 7 8 9 8 7 5 3 3 5 5 3 3 4 3 5 7 8 7 7 7 6 6 5 6 7 7 7 8 8 8 7 6 6 5 5 4 2 3 5 8 9 9 7 7 7 7 6 6 6 6 7 8 8 6 5 5 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 7 7 6 5 5 5 5 5 4 3 3 4 5 5 6 12 18 17 13 8 7 7 6 6 7 7 7 6 6 7 8 7 8 7 6 6 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 9 9 7 6 6 7 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 10 11 11 10 10 11 11 11 11 12 13 14 14 15 16 14 13 12 11 10 10 10 10 9 10 10 11 11 10 9 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 6 8 9 8 7 6 5 5 7 10 13 12 9 6 5 5 6 5 4 3 2 2 3 3 3 4 4 5 5 6 7 8 9 10 10 12 13 12 11 9 10 14 18 20 19 14 9 7 7 6 6 5 4 4 3 3 4 4 4 3 3 3 4 5 7 8 10 10 9 8 9 8 6 5 5 7 8 7 7 6 7 9 10 10 8 7 5 4 4 6 7 8 9 8 7 6 6 6 7 8 8 9 9 7 5 8 11 16 21 22 25 38 44 36 18 7 4 4 4 2 1 1 1 3 6 7 7 8 10 14 15 12 9 8 9 10 9 7 6 6 6 6 5 4 5 6 6 4 1 1 6 7 7 6 5 4 3 3 5 7 8 9 12 13 10 8 8 10 12 12 10 9 7 4 2 2 3 5 7 7 6 5 4 4 5 4 2 0 7 12 6 8 12 13 14 13 8 5 6 9 8 5 4 5 7 9 10 10 9 9 9 10 11 11 11 10 10 9 9 8 7 7 7 8 8 7 6 5 5 6 6 7 8 8 8 6 4 5 6 5 3 5 6 5 4 4 6 7 7 6 5 5 5 6 7 8 8 9 9 8 7 6 6 5 5 3 2 4 7 10 9 8 7 7 6 6 6 6 8 9 10 10 9 6 5 5 4 5 5 6 6 6 7 7 6 5 5 5 6 6 5 5 5 5 5 5 6 6 6 7 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 5 6 6 7 6 6 5 5 5 5 5 4 3 3 4 5 6 5 8 14 15 13 9 7 7 6 6 7 7 7 6 6 7 6 6 5 5 7 6 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 8 10 9 7 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 11 11 11 11 11 10 10 10 11 11 12 12 11 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 3 2 4 7 10 12 11 9 8 7 6 7 9 10 8 7 6 6 5 4 2 1 -1 -1 -0 1 2 3 4 4 5 5 6 6 6 6 6 7 9 9 9 8 7 10 16 25 26 19 11 8 7 6 6 5 4 3 3 2 4 4 4 3 3 3 3 4 7 10 14 16 17 17 14 11 8 8 9 11 12 9 6 4 5 6 7 7 6 5 4 3 4 5 5 6 7 7 6 6 7 7 7 8 9 9 8 6 5 7 8 11 14 16 22 29 27 19 8 4 3 3 2 0 -1 1 3 6 7 7 7 7 9 12 14 13 11 9 8 9 9 7 6 6 6 8 7 4 5 7 8 7 4 1 4 5 4 6 7 6 5 5 5 6 6 8 10 12 11 9 9 10 11 12 11 9 8 5 3 3 3 4 5 6 6 4 3 5 6 4 1 -1 5 9 9 12 13 10 13 17 15 11 10 9 7 4 4 6 7 8 9 9 8 8 9 11 12 11 11 10 10 9 8 8 7 6 6 8 8 7 6 5 6 6 5 5 7 9 8 5 4 5 6 6 4 7 9 5 0 1 5 7 7 6 5 5 5 6 7 8 9 9 9 8 6 6 5 5 4 3 3 6 9 10 9 8 8 7 6 5 5 7 9 12 13 11 9 6 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 3 4 4 5 5 7 12 15 12 9 7 7 7 6 6 7 7 7 8 8 7 6 4 4 7 6 5 6 6 7 7 8 8 8 7 7 7 7 6 7 7 7 7 8 8 8 7 6 5 5 6 9 11 10 7 6 6 6 5 4 4 4 4 5 5 5 6 6 6 6 7 7 8 7 7 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 10 11 11 12 12 12 12 12 11 11 11 12 12 11 11 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 3 3 6 10 13 13 11 9 8 6 5 7 8 8 8 7 7 6 5 3 2 1 1 2 3 4 4 5 5 6 5 6 6 7 6 6 5 6 8 9 9 9 10 14 23 27 22 13 8 7 7 6 5 4 4 3 3 3 4 5 5 4 4 4 5 9 15 19 20 21 21 17 12 9 9 11 13 14 11 7 5 5 6 6 5 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 6 5 5 6 6 6 6 5 6 7 9 8 1 1 3 2 3 3 2 2 -0 -1 1 5 8 8 7 7 6 7 8 11 12 12 12 9 8 8 7 6 7 5 7 7 5 5 6 8 8 7 4 5 4 3 4 6 7 9 9 7 6 6 7 9 10 11 10 11 10 11 12 11 8 6 6 5 4 3 3 5 6 6 5 4 5 6 5 2 0 4 8 12 15 14 10 12 15 13 9 7 5 5 5 7 8 8 7 8 8 8 9 10 11 11 11 11 11 10 9 8 8 8 7 6 7 7 6 6 6 6 6 5 5 6 8 6 4 4 6 7 6 5 6 5 2 -2 -1 2 5 7 6 5 5 5 6 7 8 9 9 9 7 7 5 5 5 3 2 3 6 9 9 8 8 9 8 6 4 5 7 11 14 13 11 8 6 6 5 5 5 5 6 6 6 7 6 6 6 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 5 4 5 4 4 4 4 4 5 4 3 4 4 4 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 7 12 16 13 8 6 6 6 7 6 7 7 8 8 8 7 6 5 6 7 6 5 6 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 8 6 5 4 7 9 10 9 7 6 6 5 4 4 3 4 4 5 5 6 7 6 6 7 9 11 12 12 9 7 6 6 6 6 6 7 6 7 7 7 7 6 6 5 5 5 5 5 5 6 7 7 7 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 9 8 9 10 12 13 13 13 13 12 12 12 12 12 11 11 11 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 9 11 12 12 13 14 15 14 13 13 16 24 27 16 4 -1 -1 1 5 8 9 11 12 14 17 18 14 11 11 12 14 14 14 14 13 13 13 13 13 13 13 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 11 13 14 13 12 10 9 7 6 8 10 10 9 11 11 12 14 15 16 15 13 11 11 12 12 13 14 14 14 13 13 13 13 12 11 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 13 12 11 11 12 12 12 13 13 13 13 14 14 12 13 16 16 15 13 13 13 12 11 9 11 14 16 15 13 12 13 14 14 14 14 14 13 13 13 13 13 14 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 14 14 14 12 10 7 9 15 25 27 20 16 14 14 14 14 13 12 13 14 15 16 15 14 12 9 9 14 16 15 16 17 16 15 15 14 13 13 13 13 12 12 14 15 16 14 13 12 11 12 14 16 16 14 14 14 15 15 18 17 13 12 13 13 14 13 12 9 12 17 23 23 18 15 14 14 14 14 15 15 15 14 14 13 14 14 14 15 16 16 15 14 14 13 13 13 12 11 11 11 11 11 11 11 10 9 9 10 10 11 10 10 11 11 11 11 11 11 11 12 12 12 11 12 12 11 10 8 9 9 8 9 9 9 10 9 9 9 10 10 10 10 9 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 10 10 10 10 11 12 12 13 13 13 13 13 13 14 15 15 14 12 12 14 14 13 12 11 10 10 11 12 13 13 13 13 13 13 14 15 14 15 15 15 13 10 12 15 16 15 14 12 11 10 10 9 10 11 12 13 16 19 21 21 17 15 14 13 14 13 13 13 12 12 12 12 12 12 13 13 14 13 13 12 12 12 13 15 15 14 13 13 13 15 15 14 14 14 14 14 15 17 19 18 15 12 12 13 13 12 12 12 13 13 12 12 11 13 15 14 14 14 14 15 14 14 14 13 13 13 13 14 14 14 14 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 14 14 17 25 24 10 -0 -0 5 8 7 5 9 11 11 12 14 16 14 13 13 15 15 14 15 14 13 14 14 14 15 15 15 13 11 11 11 10 10 10 11 12 11 10 9 9 9 9 8 9 10 10 10 10 11 12 13 13 11 10 9 8 7 8 9 9 10 11 12 13 14 15 16 14 12 10 11 11 12 13 13 14 14 13 13 13 13 13 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 11 12 13 13 12 13 13 13 13 13 13 13 14 14 14 12 8 11 16 17 15 13 12 12 13 13 11 11 13 15 14 12 12 13 13 14 14 14 14 13 12 12 13 13 13 13 14 14 13 13 13 13 13 13 13 13 12 11 11 11 13 13 13 13 11 9 3 0 6 21 33 32 27 20 15 13 14 13 12 13 14 15 16 16 16 15 13 12 12 12 13 14 16 16 15 15 15 14 13 13 13 12 11 12 13 16 16 13 12 10 10 11 14 15 15 14 12 10 9 16 22 17 13 14 14 15 14 12 4 1 5 11 17 17 17 16 14 13 13 14 15 15 14 15 15 15 15 15 15 15 15 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 12 11 10 10 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 14 14 14 14 13 13 13 13 14 12 10 7 6 7 9 11 12 12 12 13 13 13 14 14 14 15 15 16 15 14 14 14 15 14 13 12 12 11 11 11 10 11 11 11 11 12 13 13 13 12 13 13 14 14 14 14 13 12 12 12 12 13 13 13 13 13 13 12 11 11 13 15 16 15 14 13 12 13 15 15 15 15 15 14 14 16 18 19 17 13 12 13 14 13 13 12 13 12 11 11 12 13 14 14 13 13 14 14 14 14 13 13 12 12 12 12 13 14 15 14 15 nan
nan nan nan nan nan 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 9 12 8 7 11 12 11 11 12 14 16 17 18 18 17 15 14 13 13 13 14 14 15 16 16 14 12 11 9 9 10 10 11 11 11 10 9 10 10 10 10 10 10 10 11 11 11 12 13 12 11 10 8 8 8 8 9 10 10 10 11 12 14 15 16 14 13 11 11 11 12 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 11 11 11 11 12 13 14 14 14 14 13 13 13 13 14 15 15 13 11 10 12 14 14 13 12 12 12 13 14 13 13 13 12 12 13 12 13 14 14 14 14 13 12 11 12 13 13 14 14 13 13 13 14 13 13 13 13 13 12 12 11 12 12 11 12 12 12 10 7 1 -1 4 16 26 32 31 24 17 14 13 13 14 14 14 15 16 16 16 15 14 13 12 12 13 14 15 15 14 15 16 15 14 13 13 13 12 13 14 15 15 14 12 10 10 11 14 15 15 14 10 5 10 17 16 14 13 13 14 16 16 11 4 4 6 10 13 15 16 16 15 14 14 14 15 15 15 15 15 15 14 14 14 14 13 13 13 12 12 13 13 13 12 12 12 12 11 11 12 13 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 10 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 12 13 14 14 14 14 14 14 14 13 14 14 15 15 15 13 12 12 11 11 12 13 13 12 12 13 13 13 13 14 14 15 16 15 16 16 14 13 13 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 14 13 12 12 11 12 13 13 14 14 13 13 13 12 11 12 15 16 16 15 14 12 12 13 14 14 14 14 14 14 15 16 18 19 16 12 12 13 14 13 13 13 13 12 12 11 12 14 14 14 13 13 14 14 13 13 13 11 11 11 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 14 15 16 18 19 19 17 15 14 13 13 13 13 14 14 16 16 16 15 13 11 9 9 9 10 11 10 11 11 11 12 12 11 12 11 12 12 12 12 13 13 14 13 11 9 8 8 8 8 8 9 10 10 11 12 13 15 16 15 14 12 11 11 12 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 14 13 14 14 13 13 13 13 13 14 14 14 14 13 12 11 12 13 13 12 13 13 13 13 14 13 13 12 12 13 13 14 14 13 14 14 13 12 11 11 12 12 13 14 13 13 14 14 14 13 13 13 13 13 12 12 13 12 12 12 12 12 12 13 10 4 -0 0 9 19 34 34 21 14 14 14 14 14 14 14 15 15 16 16 15 14 13 12 12 14 14 12 12 15 19 22 18 14 16 15 15 15 15 14 13 13 13 12 11 11 12 13 14 14 12 9 9 12 13 13 13 13 13 14 17 17 13 10 8 8 10 12 15 16 15 14 13 13 14 15 15 15 16 15 15 14 14 14 13 12 12 12 12 12 13 13 12 12 13 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 10 10 10 11 10 10 10 10 11 10 10 10 10 10 10 10 10 11 10 11 11 10 10 11 11 10 11 12 11 11 12 11 11 10 11 10 10 11 11 11 11 11 11 11 12 11 11 12 12 12 13 13 13 13 14 14 14 14 14 14 14 15 16 16 15 14 14 14 15 14 15 15 14 13 13 13 13 13 14 14 15 15 15 15 15 16 16 15 13 11 11 10 9 10 11 11 11 11 11 12 12 11 11 11 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 14 14 14 14 14 13 12 12 14 15 16 16 14 13 13 13 13 14 14 14 14 14 14 15 16 16 16 15 14 13 13 13 13 14 14 13 12 11 11 13 13 12 12 13 14 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 12 12 13 14 15 16 17 16 14 13 12 11 10 9 9 9 9 10 10 11 11 12 14 14 14 15 14 14 13 13 15 15 14 13 10 8 8 8 7 8 9 10 10 10 11 12 13 15 16 16 14 12 12 12 12 13 13 13 13 13 13 14 14 14 15 14 13 13 13 13 13 12 11 11 10 11 11 11 11 11 12 12 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 13 13 12 12 13 14 14 14 14 14 14 14 13 12 13 12 12 13 13 12 12 14 14 14 14 13 14 13 13 13 13 13 13 12 12 12 12 12 13 14 13 9 3 -0 5 26 37 27 21 16 14 14 14 14 13 13 14 15 15 15 14 14 13 13 14 13 9 5 5 14 25 24 18 20 18 17 17 17 16 13 12 12 13 13 13 13 13 13 13 11 11 12 12 12 12 11 11 12 12 13 14 13 12 10 10 10 10 12 13 14 14 13 13 13 14 15 15 16 17 17 15 16 16 16 15 13 13 12 12 12 12 13 13 12 12 13 13 12 12 13 14 14 15 14 14 14 15 15 15 14 13 13 12 12 11 10 10 10 10 10 11 11 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 12 11 11 11 11 10 11 11 10 11 12 11 11 11 11 11 12 11 11 12 12 12 13 13 14 14 14 13 13 13 13 13 13 14 15 15 14 12 12 14 15 15 15 15 15 15 13 13 14 14 14 14 16 16 15 15 15 15 15 16 16 15 14 14 11 10 9 10 11 11 12 12 12 12 12 11 11 12 13 13 12 13 12 12 12 12 12 12 13 13 13 14 14 13 13 14 13 13 13 13 14 15 15 14 12 13 13 13 13 14 14 15 15 14 14 14 14 14 15 15 14 13 13 13 13 13 14 12 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 4 4 4 5 5 5 6 6 6 6 7 9 12 13 14 15 16 16 17 16 15 13 11 9 8 7 9 9 8 6 5 6 8 12 16 22 27 28 27 25 24 24 24 24 22 21 20 19 17 15 14 15 15 14 13 12 12 12 11 10 10 9 7 5 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 20 19 14 12 19 25 29 25 17 10 6 3 1 0 0 0 0 9 12 14 16 21 31 44 55 60 53 38 20 8 2 1 1 3 4 5 5 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 0 1 11 24 8 8 2 11 11 19 29 43 49 39 44 52 56 60 45 24 7 1 1 30 60 67 62 60 63 65 75 93 97 96 103 112 112 104 95 91 92 94 100 110 110 112 123 137 144 137 134 132 118 98 87 84 83 81 77 72 71 77 83 83 92 108 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 4 5 6 7 7 6 5 6 8 10 11 11 13 14 14 15 15 15 11 9 8 9 11 12 11 10 10 12 17 22 24 24 24 26 25 24 24 24 23 21 19 17 16 14 11 10 11 12 12 12 11 11 11 10 8 6 5 3 2 2 2 2 1 1 2 2 3 4 5 5 5 5 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6 3 0 8 21 25 22 16 7 2 0 0 0 0 0 0 1 5 7 8 8 10 17 32 52 63 59 42 23 10 3 1 0 2 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 0 0 0 4 9 2 0 1 2 5 10 4 22 23 44 50 63 68 68 59 57 73 68 40 18 5 1 2 40 79 86 77 71 72 75 75 79 86 94 103 106 100 87 79 80 83 89 99 107 110 110 114 123 133 137 134 129 117 94 83 81 82 85 86 83 84 91 100 108 118 122 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 3 3 4 5 6 8 7 6 4 6 9 10 11 11 12 11 11 13 14 12 10 11 13 14 14 12 10 12 16 21 24 23 20 21 23 24 24 24 23 20 17 14 12 11 9 6 7 8 9 9 9 7 6 6 6 6 4 3 1 0 0 0 0 0 0 0 0 1 2 3 4 4 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 23 23 13 6 2 0 0 0 0 0 0 0 0 2 3 3 4 4 9 22 44 62 61 44 24 11 4 1 0 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 22 27 24 37 31 24 25 18 34 44 60 71 80 83 79 68 61 58 42 25 19 16 11 23 60 90 99 93 83 79 80 80 81 84 88 91 91 86 82 80 79 78 80 85 91 95 98 99 104 119 126 126 121 106 89 84 86 90 96 100 100 102 111 124 134 140 139 124 112 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 2 2 3 3 3 3 3 4 5 6 8 8 7 6 8 10 11 10 10 10 10 10 11 10 11 12 13 14 16 12 10 10 14 17 18 16 16 18 19 20 20 20 18 15 12 10 7 6 4 4 5 6 6 6 5 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 14 14 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 19 17 4 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 5 14 33 52 57 44 24 10 4 1 0 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 22 31 42 54 58 57 48 37 36 42 61 78 83 82 80 72 58 57 62 62 67 60 52 57 78 94 107 107 93 85 87 87 83 80 84 82 82 81 85 87 84 80 78 78 80 82 84 86 90 99 108 112 108 95 85 87 94 101 109 114 115 115 122 136 145 144 142 133 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 0 1 2 2 2 3 3 3 3 4 6 8 10 8 8 9 11 12 10 10 10 10 10 9 9 10 10 12 14 14 10 9 10 11 11 11 11 12 11 12 12 11 9 7 6 4 2 1 1 2 2 3 3 3 2 2 1 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 2 3 6 10 14 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 21 38 48 42 25 12 6 2 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 14 18 27 38 47 51 50 43 38 31 38 67 79 86 98 90 60 53 79 98 115 109 106 104 100 102 121 127 109 94 90 91 86 82 82 80 81 86 92 95 93 87 82 79 78 79 80 83 85 90 100 107 104 93 86 89 96 104 113 122 123 119 120 127 132 132 132 131 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 0 0 0 1 1 2 2 3 3 3 4 6 7 9 9 10 12 12 12 11 11 12 12 10 9 8 8 10 12 14 12 10 8 6 4 4 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 11 14 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 13 24 34 37 28 18 11 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 3 5 10 10 10 15 23 32 39 44 47 49 45 44 64 79 93 113 113 98 88 111 131 143 142 140 135 128 130 143 149 137 118 106 98 93 87 84 82 83 89 95 100 102 98 91 86 83 82 84 86 89 93 103 113 113 104 98 97 98 103 114 131 137 129 121 121 125 127 139 144 146 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 nan 0 0 0 0 0 0 1 2 3 3 3 3 3 4 6 8 9 11 12 12 11 11 11 11 11 10 10 9 9 10 10 10 8 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 11 14 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 23 28 29 26 19 11 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 2 8 16 20 20 22 24 14 8 7 5 6 11 15 20 27 36 43 54 61 62 77 91 102 111 114 124 126 139 148 153 154 151 148 145 155 157 157 153 140 128 117 106 96 90 88 89 92 96 100 104 104 101 96 91 90 92 95 97 103 112 125 129 120 116 113 106 103 117 145 153 146 138 138 142 150 156 160 160 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 0 1 2 2 2 2 2 3 4 6 7 8 10 12 11 10 10 10 10 10 10 10 9 8 7 7 6 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 11 12 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 10 3 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 17 22 24 22 14 8 5 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 31 32 32 26 16 8 4 1 0 2 4 2 8 14 22 25 39 53 64 76 81 97 94 100 115 127 138 144 146 151 154 152 151 151 148 148 152 152 146 135 117 102 94 92 94 100 104 102 101 102 104 104 100 100 102 103 104 110 121 137 143 137 132 126 115 108 119 140 150 152 154 158 166 169 162 158 158 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 1 0 0 0 0 0 0 1 2 2 2 2 2 2 3 4 6 8 10 11 11 10 10 10 9 8 8 8 7 6 5 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 8 3 0 1 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 12 12 11 7 4 4 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 16 30 28 24 25 19 8 0 0 0 0 0 0 0 0 2 4 8 20 34 46 58 67 70 73 80 89 104 120 131 138 143 147 148 148 142 134 135 147 158 154 139 115 99 93 92 95 103 113 108 102 100 106 109 107 109 112 111 110 116 129 143 147 144 141 136 124 115 122 140 150 155 158 165 176 174 159 151 151 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 6 3 1 0 0 0 0 0 0 1 1 2 1 1 1 2 3 4 7 10 13 14 13 12 10 9 8 8 8 6 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 5 2 1 2 6 6 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 3 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 6 21 30 29 22 23 24 19 3 0 0 0 0 0 0 0 0 0 0 2 5 23 36 40 50 55 58 62 69 80 95 113 125 132 137 141 144 143 134 128 133 152 149 127 108 96 94 96 98 107 116 113 106 103 108 111 110 113 118 117 115 122 136 146 146 143 145 147 138 130 134 145 157 161 164 167 174 170 152 155 155 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 11 10 8 6 3 2 0 0 0 0 0 0 1 1 0 0 1 1 2 4 6 10 13 14 14 12 11 10 9 9 7 4 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 2 4 4 2 1 1 1 2 4 4 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 16 20 24 30 30 18 3 0 0 0 0 0 0 0 0 0 0 0 2 17 31 33 32 35 39 45 53 62 71 84 98 110 118 126 133 139 139 132 124 129 130 119 106 100 102 106 108 110 114 113 110 106 109 114 116 116 121 121 119 126 139 145 142 139 144 153 154 148 146 146 151 161 167 168 172 165 160 161 162 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 7 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 11 13 14 12 11 10 10 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 7 2 0 0 2 4 2 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 1 4 17 28 35 33 18 4 0 0 0 0 0 0 0 0 0 0 0 2 10 22 28 25 23 23 26 31 40 52 59 68 78 89 102 116 129 136 133 125 121 125 124 116 109 108 113 116 114 114 113 112 110 111 116 119 119 121 123 123 130 138 140 136 136 139 150 161 159 155 142 144 155 165 168 165 155 147 149 158 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 3 5 6 8 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 11 12 11 12 13 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 9 6 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 19 28 28 18 10 4 1 0 0 0 0 0 0 0 0 0 1 2 3 7 15 18 18 16 13 20 34 39 44 49 58 73 93 112 124 126 123 120 116 116 116 112 109 111 116 119 119 116 114 114 115 118 119 118 119 122 125 130 136 137 135 135 135 148 160 162 154 140 142 152 161 165 159 146 135 138 152 158 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 2 3 4 6 7 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 12 14 15 14 11 8 7 5 3 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 3 3 1 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 1 2 2 0 0 0 1 4 1 0 0 0 6 14 19 22 21 14 8 6 6 3 0 0 0 0 0 0 0 0 0 0 0 6 9 6 2 4 8 16 21 24 34 47 66 89 107 117 121 120 116 111 109 108 107 108 112 120 125 123 118 117 117 118 119 116 114 119 124 122 122 126 129 131 133 144 156 157 145 131 135 151 162 165 161 146 133 137 152 157 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 1 2 3 4 6 8 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 13 15 16 16 13 10 8 6 5 5 6 6 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 1 1 0 0 0 1 3 6 16 27 24 20 22 25 16 1 4 4 2 1 0 0 0 0 0 0 0 1 0 0 0 0 2 4 6 14 26 42 64 86 106 119 124 120 111 103 102 104 106 111 120 126 125 120 120 122 121 119 115 112 116 122 116 104 104 109 116 127 139 147 147 134 121 123 144 159 167 167 155 138 135 147 154 149 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 2 0 0 0 0 0 0 1 2 3 5 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 7 10 14 17 18 16 13 10 9 9 11 11 9 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 1 0 0 0 0 0 0 2 3 3 2 1 0 0 3 14 25 26 23 34 50 44 21 19 18 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 24 43 65 88 108 120 119 107 93 90 94 101 109 117 122 122 120 122 125 127 125 120 114 117 124 116 99 93 97 109 126 137 140 136 126 116 116 136 156 166 174 170 148 137 141 151 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 3 2 0 0 0 0 0 0 1 2 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 6 10 14 18 19 19 17 15 14 13 12 11 9 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 2 2 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 1 0 0 0 0 0 0 0 0 0 1 6 9 8 5 0 0 2 11 25 33 34 46 75 80 60 44 36 29 24 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 23 47 66 87 106 112 100 79 73 79 88 99 108 116 119 120 121 124 131 136 132 124 122 124 118 103 95 98 112 130 138 139 133 122 117 115 135 154 165 176 178 168 156 153 161 169 nan nan nan nan nan 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 4 2 0 0 0 0 0 0 0 2 3 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 8 11 14 17 17 16 15 13 12 13 12 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 8 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 6 10 14 15 8 1 0 4 26 52 63 76 100 108 92 68 45 32 27 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 29 44 61 79 95 92 76 67 69 75 84 93 102 110 116 120 123 131 141 145 136 127 123 118 103 94 99 113 132 139 138 131 121 119 125 138 150 162 171 176 178 173 167 171 180 182 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 8 7 6 3 1 0 0 0 0 0 0 0 1 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 7 9 11 13 13 13 13 13 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 19 18 13 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 16 20 27 24 13 7 2 23 64 87 101 115 116 95 62 36 21 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 23 39 54 70 78 76 69 66 69 74 81 88 96 107 117 122 125 137 149 141 130 127 126 106 96 100 114 131 140 138 126 112 108 124 138 144 150 160 167 174 176 169 169 173 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 1 2 4 5 6 3 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 9 11 12 12 12 12 11 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 30 28 20 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 25 30 29 24 19 20 39 69 88 98 105 104 85 56 33 20 12 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 24 41 57 69 71 67 65 65 68 75 83 87 95 109 119 121 128 141 138 130 129 130 117 107 109 120 135 147 145 127 96 82 100 124 134 138 146 155 163 167 164 160 155 156 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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20 23 25 24 22 19 18 20 20 17 17 20 22 22 19 18 18 20 17 11 5 1 0 0 0 0 0 0 0 0 4 10 12 13 18 18 12 5 2 4 9 12 9 4 1 0 0 0 0 0 0 2 3 2 0 2 4 8 12 15 16 14 12 12 13 13 10 7 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 4 7 8 7 7 7 8 8 8 9 13 14 13 12 11 11 11 11 11 9 7 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 23 42 39 32 35 47 61 68 71 75 78 74 61 44 38 40 43 40 27 10 1 0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 0 0 0 0 0 0 0 0 4 13 26 37 41 42 48 57 67 81 99 122 143 149 148 147 140 132 123 112 108 112 111 104 106 109 94 85 100 120 125 119 109 104 104 104 101 98 98 101 107 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 21 24 24 22 19 19 21 20 17 14 14 16 16 16 14 15 22 25 23 14 4 0 0 0 0 0 0 0 0 1 5 14 23 28 29 19 10 5 4 8 14 14 9 4 1 0 0 0 0 1 4 6 3 0 0 1 1 5 11 16 17 15 14 15 16 16 13 9 6 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 1 2 3 1 1 3 6 8 8 8 8 8 10 11 12 12 13 12 10 8 8 8 8 9 10 9 8 7 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 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 13 28 30 27 31 45 66 84 91 93 88 76 56 36 28 26 30 41 43 22 5 1 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 1 5 13 23 29 31 32 35 42 54 74 103 135 152 154 149 136 122 108 92 80 78 81 84 93 107 114 114 121 130 126 114 102 99 102 104 103 100 95 92 99 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 20 22 22 18 16 16 21 25 22 16 14 15 16 16 12 10 13 22 28 28 23 15 10 6 3 1 0 0 0 0 3 18 29 30 29 20 12 6 4 6 13 18 18 10 5 2 1 0 0 0 0 0 1 0 0 0 0 1 6 13 18 18 17 17 19 21 20 16 12 11 10 9 6 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 2 5 6 4 4 6 8 8 8 8 10 14 18 20 20 16 12 9 8 7 6 6 6 7 8 7 6 6 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 8 11 20 28 45 75 92 98 89 73 49 34 27 22 25 41 54 42 21 9 5 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 5 12 16 19 19 20 24 33 48 74 110 138 148 142 126 108 98 85 68 60 58 58 79 102 115 124 131 134 126 114 103 100 102 103 103 99 91 87 96 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 21 23 22 18 14 15 20 25 24 18 15 18 19 19 16 11 10 14 22 30 34 32 26 20 15 10 5 1 0 0 2 17 26 21 14 11 7 5 3 3 8 18 27 20 14 12 7 3 0 0 0 0 0 0 0 0 0 0 3 10 15 17 16 16 18 23 26 24 19 15 13 12 11 10 9 9 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 2 6 7 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 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 0 0 2 6 10 9 6 7 9 10 10 9 10 16 24 29 31 29 22 14 8 7 6 6 6 6 7 7 5 4 4 5 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 8 15 27 49 74 90 87 70 50 40 32 27 29 43 56 58 47 32 20 10 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 12 12 13 17 27 45 75 108 126 122 103 93 90 80 66 62 63 58 75 96 104 106 115 126 128 122 115 112 110 109 107 102 91 90 98 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 21 22 24 20 15 15 20 23 22 18 16 18 20 20 19 17 14 9 11 21 31 36 37 35 33 29 19 7 2 1 5 19 21 10 4 2 2 2 1 1 4 13 24 28 26 26 19 8 2 0 0 0 0 0 0 0 0 3 7 12 14 16 16 15 16 21 26 28 24 18 15 15 17 19 20 21 22 19 13 9 7 6 4 2 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 7 11 12 10 8 9 11 12 11 10 12 19 27 29 31 29 22 12 7 7 6 6 6 6 6 5 4 4 4 5 7 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 28 47 71 82 73 52 38 30 25 27 37 45 47 50 48 36 20 10 7 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 10 9 8 9 11 20 40 69 94 101 90 86 84 72 62 60 63 66 73 86 88 81 90 113 130 134 131 127 123 119 115 108 102 100 106 108 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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