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 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 9 8 8 9 9 8 10 10 10 10 10 9 9 9 9 8 8 7 5 3 3 5 6 7 8 7 7 6 6 6 -2 -3 10 18 14 9 7 6 7 6 -1 -10 -13 -1 9 10 9 9 10 10 11 11 12 12 14 15 15 15 15 15 13 11 9 8 7 7 7 8 8 8 9 9 9 9 9 10 10 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 6 6 7 10 12 nan
nan 9 9 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 11 12 11 9 10 9 10 10 9 6 5 6 4 4 4 5 6 7 8 8 8 7 7 8 2 2 9 13 11 8 6 7 7 2 -10 -16 -3 10 16 14 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 5 5 7 9 nan
nan 8 9 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 11 12 11 9 7 8 8 10 10 7 5 3 3 5 6 5 5 6 7 9 8 7 7 7 7 4 -0 -2 4 12 8 7 8 6 -2 -13 -8 12 21 18 11 5 7 6 6 6 5 5 4 4 3 2 2 3 4 4 5 7 8 8 9 9 8 8 8 8 8 9 9 9 10 10 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 10 9 9 9 9 10 10 11 11 10 10 10 10 10 8 7 6 6 7 nan
nan 8 8 8 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 9 9 9 9 10 9 9 9 10 9 10 11 12 11 9 7 7 6 7 9 8 7 6 4 4 6 7 6 6 6 7 8 7 7 7 8 7 3 -2 -4 10 18 10 8 8 4 -5 -9 6 22 25 15 7 8 9 6 5 4 5 4 3 2 2 2 2 2 3 3 3 4 5 6 7 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 9 9 10 10 10 10 10 11 11 12 12 11 11 11 10 9 8 7 6 7 nan
nan 8 8 8 9 10 10 9 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 11 12 11 10 9 9 8 6 6 7 7 7 8 6 5 6 6 7 7 7 7 7 7 6 7 7 8 5 -0 4 16 12 7 8 8 2 -5 6 23 27 23 16 12 15 12 8 7 8 7 6 6 6 5 6 6 6 5 4 4 4 4 5 7 9 10 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 11 12 13 12 12 11 11 10 10 8 7 7 7 nan
nan 9 9 9 9 8 9 9 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 10 11 11 10 10 10 10 10 7 6 6 6 8 10 9 7 6 5 6 8 8 7 6 7 8 8 8 8 7 4 8 13 11 9 10 9 3 7 20 27 21 14 13 14 14 12 9 8 9 8 8 8 8 9 9 9 8 7 7 6 7 8 8 9 11 11 12 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 11 11 10 10 11 10 10 10 9 10 11 11 10 11 11 11 11 12 12 12 12 12 11 11 10 9 8 7 7 nan
nan 9 8 8 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 10 9 10 10 9 9 9 10 10 11 11 11 11 10 9 6 5 6 8 9 8 7 5 5 6 8 10 9 7 6 8 8 8 8 8 7 12 15 16 18 15 10 9 16 19 16 11 10 11 12 12 13 11 10 9 8 8 8 9 10 10 9 9 9 9 9 10 11 12 12 12 12 13 14 15 16 16 16 16 16 15 15 15 14 13 13 12 11 11 11 11 11 10 10 10 10 10 9 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 8 8 nan
nan 9 8 8 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 11 12 13 12 11 10 9 7 5 5 7 7 6 5 6 6 6 9 11 9 6 5 8 8 8 8 7 8 11 14 16 15 13 11 12 13 12 9 10 11 11 12 12 14 13 12 8 7 8 9 10 10 10 10 10 10 10 11 11 12 12 11 11 12 13 14 15 16 17 17 18 17 16 16 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 9 nan
nan 8 8 8 8 8 8 9 10 9 10 10 9 9 9 9 10 9 9 9 8 9 9 9 9 9 9 10 10 9 9 9 10 12 14 13 12 12 10 8 7 6 7 7 6 6 6 7 7 8 9 10 9 6 6 8 9 8 8 7 9 10 10 9 8 10 11 12 11 11 10 11 12 12 11 11 12 13 13 10 9 11 12 12 12 12 11 11 10 10 10 9 8 8 8 8 9 10 13 14 16 16 16 16 16 15 14 14 13 13 13 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 11 nan
nan 9 8 8 9 9 9 10 11 10 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 11 13 13 12 12 9 6 6 8 8 8 6 6 7 9 9 8 8 8 9 9 7 8 9 9 9 9 10 9 7 7 7 9 10 11 11 11 11 11 11 10 8 8 9 11 13 14 14 15 14 13 12 11 10 9 9 8 7 6 5 5 6 6 7 9 11 12 12 13 12 11 11 10 11 11 11 12 13 14 15 16 16 15 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 nan
nan 9 9 9 8 9 9 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 6 6 9 9 8 7 9 10 11 9 7 8 9 9 8 6 7 8 9 9 9 8 6 7 7 8 9 10 10 9 9 9 9 9 7 7 7 7 9 13 17 17 14 11 9 7 6 6 6 7 8 8 7 7 8 7 8 9 9 10 9 9 8 7 7 6 7 8 8 9 11 11 13 14 14 15 15 15 15 15 15 14 14 15 14 14 14 14 13 13 13 13 13 12 11 11 10 10 10 11 11 12 12 nan
nan 9 10 9 8 9 9 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 9 9 8 9 11 11 9 8 10 11 10 9 9 12 12 10 7 5 5 8 9 9 8 7 8 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 11 11 9 6 4 3 2 4 5 7 10 11 11 11 12 11 11 11 11 11 10 9 8 6 6 6 7 7 7 8 9 9 9 10 11 12 12 14 14 15 16 16 16 16 16 17 16 16 16 15 15 14 14 14 13 12 10 9 9 9 9 10 10 11 nan
nan 9 10 9 9 9 9 9 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 10 9 8 10 11 10 10 10 10 9 9 10 10 10 10 11 12 12 10 8 6 7 9 9 9 9 10 11 11 11 11 11 9 9 9 8 7 7 8 9 10 9 8 8 5 -3 -5 -3 1 3 5 7 10 11 12 12 12 12 12 12 12 12 12 12 11 11 9 8 8 9 9 9 9 10 9 9 9 9 9 10 11 12 13 14 16 16 16 17 18 18 18 17 17 17 16 15 14 14 14 13 11 11 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 11 11 10 10 10 10 11 11 10 9 10 11 10 10 9 8 7 8 8 8 10 11 10 10 11 10 9 8 9 10 10 11 11 12 12 11 10 10 10 9 8 9 9 8 8 9 9 9 10 9 8 6 -5 -11 -7 1 7 9 10 10 11 10 9 9 9 9 9 10 10 11 11 12 12 12 11 11 12 12 13 12 12 11 10 10 9 9 10 10 10 11 12 13 14 15 15 16 16 17 17 16 16 16 15 15 15 14 14 13 13 11 11 10 10 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 9 9 9 9 9 9 9 9 10 11 11 10 10 11 11 11 11 10 9 10 11 10 8 7 7 7 8 8 9 11 11 10 9 9 10 10 10 10 11 10 11 12 12 12 12 12 12 11 9 8 7 8 9 10 10 10 10 10 11 10 3 -3 1 9 18 20 16 13 11 10 9 7 7 7 8 9 9 9 10 10 10 10 11 11 12 13 14 14 15 13 12 11 11 11 10 10 10 11 12 13 13 14 14 14 13 14 14 13 13 14 14 14 15 15 14 14 14 13 13 11 12 11 11 11 10 nan
nan 9 9 9 10 9 9 9 9 10 10 11 10 10 11 10 9 8 8 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 9 9 9 9 8 7 7 7 7 8 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 10 11 12 11 10 9 9 8 9 10 11 11 12 13 13 14 12 10 13 18 24 28 26 23 20 18 16 14 13 14 14 12 12 11 11 10 9 9 8 8 9 10 12 13 14 14 13 13 11 11 10 10 10 10 11 12 13 13 13 13 12 11 11 11 11 11 12 13 13 14 13 13 14 14 15 14 13 13 13 13 11 11 nan
nan 9 9 10 9 9 9 9 10 10 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 8 8 7 8 8 9 9 9 9 8 8 8 10 9 8 9 9 9 7 7 8 8 9 9 9 10 10 11 11 11 12 13 12 11 12 13 14 13 13 12 14 16 18 21 20 19 20 21 22 20 22 24 26 26 23 20 17 15 10 8 8 7 7 8 8 9 10 11 11 11 11 10 9 9 9 8 9 10 11 11 12 12 12 10 10 10 10 10 10 11 11 12 12 13 13 13 14 15 15 15 15 14 14 13 12 nan
nan 9 9 10 10 10 9 9 10 10 10 11 12 11 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 9 9 10 10 9 9 8 7 7 8 9 10 10 9 8 7 8 9 9 7 7 8 9 7 6 7 8 9 9 8 9 9 10 11 12 14 14 14 13 13 12 12 11 11 11 10 9 10 11 13 11 8 5 8 8 9 14 18 20 18 16 18 20 16 10 9 8 8 9 9 9 8 8 9 9 9 9 9 8 7 7 8 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 11 11 12 12 13 14 14 15 15 16 15 14 14 13 nan
nan 10 9 10 10 9 9 10 10 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 10 9 8 7 7 9 9 10 10 9 9 8 9 9 9 9 8 8 8 7 7 8 9 10 10 9 10 10 10 11 12 13 13 13 12 12 12 10 10 10 10 10 9 9 10 11 10 7 7 5 1 1 2 1 -1 -4 -1 6 13 12 10 10 10 11 11 12 12 10 10 10 10 10 10 9 8 7 7 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 10 9 10 10 10 11 12 13 13 14 15 15 15 14 14 nan
nan 10 9 9 10 9 9 10 10 11 11 10 10 9 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 10 9 8 8 8 8 9 9 9 9 8 9 10 9 9 10 11 9 9 9 8 8 9 10 11 12 13 13 12 12 12 12 11 11 10 11 10 10 10 10 11 11 9 8 9 11 11 12 15 18 14 14 15 14 10 5 8 13 10 8 9 12 13 13 15 15 15 15 14 13 13 13 13 12 12 11 10 10 9 10 11 11 11 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 12 13 14 15 15 15 14 nan
nan 10 10 9 9 10 10 10 10 11 10 9 9 8 8 9 8 9 9 9 10 9 9 10 11 11 10 10 9 10 9 10 9 9 9 8 8 8 8 9 10 10 9 9 8 8 9 10 10 10 10 10 10 10 9 9 8 9 12 15 16 14 13 12 12 11 10 10 9 9 9 9 10 11 11 10 8 7 10 12 12 11 13 14 19 24 27 28 30 31 34 33 27 21 23 26 25 24 24 23 21 18 16 15 15 16 15 14 14 14 14 13 12 12 12 12 12 12 12 13 12 12 12 12 12 11 11 10 9 9 9 9 9 10 10 11 12 12 13 15 15 14 nan
nan 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 10 9 10 10 9 10 10 10 9 9 8 8 9 10 10 10 9 9 9 9 10 11 9 9 9 8 8 9 10 10 10 12 14 14 13 11 11 11 11 10 9 8 8 8 8 9 11 11 11 11 9 9 11 11 11 10 11 12 15 18 21 24 27 30 31 31 31 31 33 36 38 38 35 31 27 23 22 21 19 18 17 17 17 17 17 17 15 15 14 14 14 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 10 10 11 11 12 12 13 13 14 14 nan
nan 10 10 10 10 10 10 10 10 9 8 7 6 7 8 8 8 7 5 4 3 5 8 9 9 9 9 10 10 10 10 9 9 9 9 8 9 10 9 10 10 10 9 8 8 9 9 9 8 8 7 7 8 8 9 9 11 12 12 10 8 8 9 9 9 7 8 9 9 8 8 9 11 11 10 11 11 12 13 13 10 11 13 12 12 11 12 14 15 14 14 16 19 22 23 25 29 31 31 28 24 24 28 29 26 22 22 24 25 24 23 22 20 19 18 17 17 16 15 15 14 14 13 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 13 13 13 14 nan
nan 10 10 10 10 10 11 12 12 11 9 7 5 6 9 10 8 5 3 1 -1 -1 1 5 6 7 7 9 10 10 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 7 6 7 9 11 9 9 9 9 10 10 10 11 12 14 14 12 11 12 11 11 10 9 9 9 9 8 7 8 9 10 11 11 11 13 14 14 15 23 27 28 28 26 27 30 31 31 30 25 22 20 20 19 19 18 17 17 16 15 15 13 13 12 11 11 10 10 10 11 11 11 12 12 12 13 12 13 13 14 nan
nan 10 10 10 10 10 13 16 15 12 9 7 5 7 10 10 9 6 4 3 1 -2 -3 -1 1 3 5 6 8 8 7 8 8 8 8 9 10 10 10 10 10 9 9 8 9 9 9 8 7 7 8 9 8 7 8 8 9 7 6 7 8 9 8 7 8 10 11 11 10 9 10 11 10 10 11 11 11 11 10 9 10 10 10 10 8 8 8 7 7 6 7 7 6 6 7 6 6 7 7 8 13 18 17 18 23 22 20 22 21 21 23 21 18 16 15 16 16 16 16 16 16 16 15 14 14 13 13 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 nan
nan 10 10 9 9 11 15 19 19 15 12 10 10 12 12 10 9 7 6 5 5 2 -1 -3 -2 -1 1 2 4 4 5 6 7 8 8 9 10 11 11 11 10 9 9 9 10 12 11 10 9 9 8 8 7 7 9 9 7 6 8 9 10 10 9 10 11 12 12 10 10 10 11 11 11 11 11 11 11 9 8 7 8 10 10 9 8 9 8 8 7 7 7 7 7 7 5 5 6 5 5 8 11 10 9 9 12 12 8 6 6 6 7 11 11 10 10 10 10 11 11 12 13 13 13 14 14 14 14 13 13 12 11 11 11 11 11 11 12 12 12 13 13 13 nan
nan 10 9 9 10 10 13 19 21 17 16 17 20 20 18 15 12 9 7 7 7 7 5 2 1 1 -0 0 0 -0 1 4 7 8 9 10 10 11 11 11 9 9 9 10 12 12 11 11 10 8 7 7 6 7 8 9 9 10 11 12 12 10 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 10 9 9 9 10 10 9 9 9 8 8 8 7 8 9 9 8 5 4 5 5 6 6 7 7 7 8 7 2 -3 -1 5 6 4 6 7 8 8 7 7 8 9 9 9 10 11 12 13 13 13 14 14 13 13 12 11 10 11 11 11 11 11 11 12 12 nan
nan 10 9 10 10 11 11 14 16 14 16 18 21 23 24 22 19 16 14 12 11 10 9 8 7 7 5 3 1 0 1 3 5 6 8 10 11 12 12 11 10 9 9 10 12 11 10 10 9 8 9 10 9 8 9 9 11 12 13 12 11 10 10 10 9 9 9 9 9 9 8 8 9 10 11 12 10 9 9 8 8 8 9 9 8 8 7 8 7 7 8 10 10 8 5 5 6 6 6 7 7 8 8 8 4 -0 -3 2 4 5 6 7 8 8 8 8 9 9 9 10 10 9 10 10 11 12 13 13 14 13 13 13 12 11 11 11 11 10 11 11 11 12 nan
nan 10 10 10 10 10 11 11 11 11 12 14 15 18 22 26 26 25 24 22 19 16 14 12 11 10 8 4 2 1 3 5 6 6 7 9 11 12 11 10 8 8 9 11 11 10 9 10 10 10 12 12 10 9 10 11 12 11 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 10 9 7 7 5 3 3 5 8 8 7 7 10 9 8 7 8 11 11 9 8 8 9 9 10 10 10 10 8 3 -0 -2 0 2 2 2 5 7 9 9 9 10 10 10 11 12 12 12 11 10 11 11 12 13 13 13 13 13 12 12 11 11 11 11 11 11 10 11 nan
nan 10 10 10 9 10 10 10 10 10 10 11 14 16 16 20 23 24 23 23 23 18 14 11 10 7 4 2 0 2 5 8 11 11 11 10 9 9 9 8 8 8 11 12 10 10 9 10 10 11 11 10 8 9 11 10 11 11 10 10 9 9 10 9 10 10 9 10 10 10 9 9 10 9 8 8 8 8 5 -0 -0 4 9 10 9 8 10 9 8 9 10 12 13 12 10 10 11 12 14 14 13 13 10 3 -1 -0 4 5 5 6 7 8 10 10 11 11 10 11 11 12 12 13 13 12 12 12 12 11 12 12 13 12 12 12 12 11 12 11 11 11 10 10 nan
nan 9 9 9 9 10 10 10 10 10 10 12 15 16 14 14 14 14 14 12 13 13 11 8 6 4 3 3 5 7 9 12 14 15 15 13 11 8 6 6 8 9 11 11 10 10 9 9 9 9 9 9 10 13 12 10 9 8 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 10 5 2 0 4 9 11 10 10 10 10 10 11 13 15 15 13 12 13 12 13 15 15 15 14 15 15 12 14 13 11 10 9 9 9 10 11 13 13 12 11 11 11 11 12 13 13 13 12 12 12 11 12 12 12 12 12 11 11 12 12 11 11 11 10 nan
nan 9 9 9 9 10 10 10 10 9 10 12 15 14 11 11 10 10 9 8 7 7 9 9 8 7 6 8 11 12 13 13 14 14 14 13 9 5 4 5 8 10 12 12 11 9 9 9 8 8 9 11 14 13 10 6 5 5 7 8 9 9 9 10 11 11 10 10 8 8 8 9 9 9 9 8 6 4 3 5 3 6 9 11 12 12 13 13 13 12 14 16 15 13 13 13 13 13 14 15 14 14 18 22 25 23 17 13 12 10 9 8 9 10 13 14 14 14 13 11 11 11 12 12 12 13 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 10 nan
nan 9 10 9 10 10 10 10 11 10 11 12 13 10 9 9 10 9 9 9 9 9 9 10 10 9 9 10 12 13 12 12 13 13 12 11 8 5 5 7 13 15 12 11 10 9 10 9 7 6 8 10 10 8 4 3 5 7 7 8 9 11 11 10 10 9 8 7 7 7 7 7 7 8 8 7 4 4 7 6 7 10 12 12 12 12 13 12 11 11 14 17 14 12 13 12 12 13 14 15 14 13 14 17 18 16 11 11 11 10 9 9 8 10 12 13 15 17 16 14 12 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 10 nan
nan 9 10 10 10 10 10 10 10 10 11 12 11 7 7 9 10 10 11 11 11 11 10 10 10 9 9 9 10 11 10 11 12 12 12 12 11 9 10 13 17 18 14 11 9 9 10 8 6 5 7 7 5 3 3 5 7 8 9 8 9 10 8 8 7 6 6 6 6 7 8 8 8 8 8 8 8 10 12 11 11 15 15 14 12 10 10 10 10 11 14 15 13 12 11 11 12 12 13 13 12 12 11 11 11 10 10 12 11 11 10 10 9 10 11 13 16 18 18 16 15 13 11 11 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 6 7 9 11 11 11 12 12 12 12 11 10 9 9 9 9 10 11 11 11 11 11 11 11 11 13 14 16 17 14 11 9 9 8 7 6 7 7 8 8 7 7 8 9 9 10 10 10 9 8 8 8 7 7 7 8 9 11 12 13 13 13 14 15 15 15 15 16 17 17 16 13 11 12 13 12 11 12 11 11 10 9 10 11 11 12 11 10 11 11 12 17 18 17 15 13 12 12 11 10 10 10 11 14 16 18 19 18 16 13 12 11 11 10 11 12 12 12 12 11 10 10 10 9 9 9 10 10 10 nan
nan 10 11 11 10 10 10 10 11 12 9 8 7 4 6 11 15 14 12 11 11 12 13 12 10 9 8 9 10 12 12 11 10 10 10 9 8 6 6 10 12 12 11 9 8 8 7 7 8 8 9 10 10 7 6 8 9 9 10 12 12 12 12 12 13 13 13 12 13 15 15 16 16 16 16 17 18 17 17 17 18 17 18 17 14 12 12 12 11 10 9 9 10 10 9 10 10 11 10 9 10 11 12 15 22 27 23 19 15 14 13 12 11 11 10 10 11 13 17 20 21 19 16 14 13 13 13 13 13 13 13 13 12 11 11 10 10 9 9 9 9 10 nan
nan 9 11 11 10 10 10 10 11 11 9 8 3 -0 2 8 15 19 16 13 12 11 11 11 10 9 7 8 10 11 12 11 10 9 8 4 -1 -3 1 4 5 6 6 5 3 4 5 7 6 6 7 7 3 -1 0 1 1 2 6 10 14 16 15 15 16 18 18 18 17 17 16 15 14 15 15 14 15 15 15 15 15 16 17 17 13 10 9 10 10 9 9 10 11 11 12 11 11 10 10 9 10 11 12 13 18 24 25 21 16 13 12 12 12 11 10 10 10 12 16 21 22 21 19 18 18 17 17 17 16 15 14 14 13 13 12 11 10 10 9 9 10 10 nan
nan 10 10 10 10 11 12 11 12 12 10 7 -3 -6 -2 3 9 15 18 18 15 12 11 10 9 9 9 10 11 11 10 10 10 9 5 0 -3 -2 3 4 3 2 0 -3 -2 -1 -0 -4 -4 -1 -0 -4 -7 -4 -1 -2 -2 -2 1 6 12 15 15 16 16 17 17 16 16 15 14 13 13 13 12 10 11 13 12 12 12 13 14 14 13 11 9 8 8 9 10 10 11 12 11 10 10 11 11 11 11 12 12 11 12 17 24 22 17 15 13 12 11 11 10 10 11 12 15 18 18 19 19 20 21 21 19 18 16 15 14 13 13 12 11 11 11 10 10 10 10 10 nan
nan 9 10 11 14 15 15 15 15 13 10 4 -3 -6 -2 3 6 10 17 21 19 13 11 11 10 9 11 12 10 9 8 8 9 9 6 2 3 8 9 8 4 1 -1 -2 -1 2 1 -2 3 4 2 0 3 8 8 7 7 7 8 9 9 8 10 12 14 14 13 12 12 12 13 12 11 11 10 10 10 10 9 10 11 11 13 16 16 13 10 9 9 9 8 9 11 11 10 9 9 11 12 13 13 13 12 10 10 12 18 22 21 19 16 14 12 11 11 11 11 11 11 11 13 16 18 20 20 19 17 14 12 11 10 10 10 10 10 10 10 10 10 11 11 12 nan
nan 9 12 16 21 22 21 19 18 15 9 1 -2 -3 -0 4 6 10 17 24 21 12 10 11 10 10 11 10 8 7 7 8 9 10 9 7 8 13 14 10 7 5 6 8 10 12 12 15 17 15 13 13 15 15 15 15 15 16 16 12 7 4 8 13 16 14 11 11 11 11 12 11 10 10 11 11 10 9 10 11 10 11 13 14 14 14 12 10 11 10 9 9 10 11 11 11 11 12 14 15 14 13 11 11 10 10 13 19 22 22 18 15 13 13 13 12 10 10 9 8 9 13 17 18 17 14 11 9 8 7 7 7 7 8 8 8 8 9 10 11 13 15 nan
nan 10 15 22 29 29 24 21 17 12 7 2 -2 -2 2 6 7 11 18 23 19 11 10 10 10 9 9 8 7 8 10 10 10 9 9 10 12 14 14 11 8 11 15 18 18 17 17 18 18 17 16 15 15 15 17 18 18 17 15 12 8 10 16 20 18 12 11 10 10 11 12 12 11 11 11 11 11 10 11 10 10 12 13 13 13 12 12 11 11 10 11 11 12 12 13 13 13 13 14 13 14 14 13 13 12 12 12 15 19 21 22 21 21 20 18 15 12 9 8 8 10 13 14 15 13 10 8 7 7 7 7 6 7 7 7 8 8 8 9 10 13 19 nan
nan 11 15 20 24 26 23 19 14 9 5 2 -0 -0 4 8 8 11 18 22 17 12 10 10 9 8 8 8 9 12 13 11 10 9 8 10 11 12 12 7 9 19 22 22 21 20 20 20 19 17 16 17 19 21 25 25 20 15 12 11 11 16 22 22 18 12 10 10 10 11 12 12 12 11 10 10 9 9 9 9 12 14 14 13 12 11 11 11 10 10 10 11 11 12 13 13 13 13 14 13 13 15 16 16 15 14 13 13 17 21 24 27 28 29 26 22 17 14 11 11 12 14 14 13 10 8 8 7 7 8 8 8 8 8 8 9 8 8 9 10 11 17 nan
nan 13 13 11 9 10 13 14 13 10 5 0 -1 1 5 8 8 9 14 21 19 14 11 9 9 9 10 11 13 14 13 10 8 8 9 10 10 10 9 7 12 17 19 19 20 23 24 23 20 18 20 23 26 27 28 22 14 11 11 11 13 19 24 25 18 12 11 11 12 12 12 11 11 10 9 10 10 10 11 14 16 15 12 12 10 9 10 11 10 10 9 9 8 9 11 12 11 10 12 14 14 16 19 17 16 15 13 13 15 18 19 19 21 25 27 26 25 23 20 17 16 15 14 12 9 8 7 8 8 8 9 8 8 8 8 9 9 9 9 9 9 11 nan
nan 12 10 6 -1 -7 -7 -4 3 9 6 -0 -1 2 6 7 7 8 10 19 23 17 12 10 9 10 11 13 14 13 11 9 8 8 9 9 9 8 7 9 11 11 12 14 16 18 18 17 16 18 22 24 23 21 18 13 10 11 14 17 20 25 27 22 15 13 13 12 12 12 12 11 10 10 10 11 11 11 12 15 16 13 10 9 8 7 9 11 12 10 9 8 8 10 9 9 10 9 10 12 11 13 14 14 14 13 13 14 13 13 11 11 12 14 17 19 23 26 26 22 19 17 15 12 9 8 8 8 8 9 8 8 9 9 9 9 9 10 10 7 7 7 nan
nan 10 8 7 2 -12 -26 -28 -15 -2 2 2 2 5 7 7 8 8 8 14 21 18 14 11 10 11 11 13 12 11 10 9 7 7 8 9 9 9 9 10 9 10 11 12 12 11 11 11 12 14 16 17 15 15 14 13 13 15 19 23 24 23 18 15 14 14 13 11 11 11 12 11 11 10 11 11 11 11 12 13 12 9 8 7 6 6 9 12 13 11 11 10 11 11 10 11 10 9 8 9 9 10 8 9 10 10 11 12 12 12 11 11 10 10 11 11 14 18 22 21 18 18 19 17 15 13 12 10 10 10 10 10 9 9 10 10 10 11 12 7 1 0 nan
nan 9 8 10 7 -7 -25 -33 -24 -9 -1 3 4 6 8 8 9 8 8 11 17 18 15 12 12 12 12 13 11 8 7 6 5 8 9 10 11 10 9 10 11 12 12 12 12 11 12 11 12 13 14 14 14 15 15 14 15 16 19 20 19 15 15 18 17 14 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 7 5 6 7 10 14 14 12 11 11 12 10 9 12 10 9 9 10 10 8 7 8 8 9 10 11 12 13 13 12 11 11 10 9 10 13 18 17 14 15 16 20 24 23 21 18 15 13 12 12 11 12 12 12 13 14 15 12 1 -8 nan
nan 10 10 11 9 0 -15 -26 -22 -8 -0 4 6 8 9 9 9 8 8 9 13 19 18 14 13 13 12 9 5 2 -1 -1 4 8 11 12 11 11 11 12 13 13 13 14 13 13 13 14 14 14 15 14 15 15 15 14 14 15 15 16 15 14 17 16 13 10 9 9 10 10 11 11 11 11 11 10 11 10 11 10 8 6 5 3 3 4 9 13 12 11 10 9 10 9 9 8 10 11 12 13 11 9 7 5 8 10 12 12 14 14 14 14 13 13 12 11 11 12 16 16 13 13 13 17 22 26 28 27 23 20 18 17 16 16 16 16 17 17 18 18 14 -3 nan
nan 10 11 11 9 3 -11 -23 -20 -6 2 6 8 8 9 9 8 8 8 8 11 20 22 15 14 12 8 2 -3 -5 -5 -1 6 11 13 13 12 14 15 15 15 13 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 13 14 13 12 11 10 9 8 8 9 10 10 10 10 11 11 10 10 9 10 10 10 9 8 7 4 3 3 5 9 10 10 8 7 8 9 10 9 7 9 11 14 12 11 8 6 8 11 11 13 13 14 14 14 15 15 14 14 13 12 11 13 14 13 14 14 13 14 18 23 26 28 28 27 26 25 24 23 22 20 20 19 18 19 11 nan
nan 10 11 10 9 5 -12 -25 -18 -5 4 8 9 9 9 9 8 8 9 9 11 19 23 17 12 8 3 -2 -4 -2 1 8 16 19 19 16 14 15 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 13 13 12 12 10 8 7 7 8 9 9 10 11 11 11 11 11 10 9 9 8 8 8 10 10 9 6 5 5 5 5 7 9 7 8 10 10 11 8 8 10 10 10 10 10 9 9 10 10 9 10 13 13 12 13 14 15 15 15 15 13 12 11 12 12 12 12 11 11 11 13 17 21 25 27 29 30 31 29 25 22 20 18 17 17 13 nan
nan 10 11 10 8 6 -9 -22 -14 -4 5 9 9 9 9 8 8 9 10 12 15 21 22 18 10 2 -1 -1 1 4 7 14 21 23 21 17 15 14 13 12 11 12 12 12 11 11 11 11 10 10 10 10 10 10 11 12 12 12 11 10 8 8 7 7 8 10 10 11 11 11 12 12 13 12 10 10 8 7 7 7 6 6 4 3 1 2 7 11 9 9 10 10 10 10 8 9 11 10 8 9 9 9 10 10 9 8 10 12 12 14 16 14 14 13 13 14 13 12 12 12 12 11 11 10 10 10 9 11 12 14 17 19 22 27 29 26 22 18 16 14 13 13 nan
nan 10 9 8 8 4 -8 -16 -10 -1 7 10 9 10 10 10 10 11 13 16 20 23 21 15 6 -1 -1 2 5 8 11 17 21 24 22 16 14 12 11 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 11 12 11 11 10 9 7 7 7 7 9 10 11 11 10 11 11 12 12 12 11 11 10 7 6 5 5 4 3 3 3 7 12 11 9 11 12 10 11 10 10 9 8 8 8 10 9 9 10 10 10 10 10 10 12 15 14 11 11 10 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 13 18 22 23 21 18 16 15 13 13 nan
nan 9 8 7 8 1 -10 -12 -6 4 9 10 10 10 10 12 14 15 18 21 22 21 16 9 3 0 3 5 8 11 16 23 27 27 21 14 12 10 10 11 12 11 11 11 11 12 11 9 8 9 9 10 11 11 11 11 10 10 10 9 7 7 7 8 10 11 10 9 9 11 11 12 11 11 11 11 11 10 8 8 6 5 4 4 4 6 8 9 10 12 12 10 10 11 12 11 8 7 8 10 9 10 10 11 11 11 11 10 11 12 9 8 8 7 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 13 17 21 22 22 21 20 18 17 nan
nan 8 8 7 6 -3 -12 -10 -1 8 11 10 11 11 12 15 18 19 20 21 19 13 8 3 1 3 6 9 12 15 22 27 28 22 15 11 10 11 11 12 12 11 11 11 12 12 11 9 9 10 10 11 11 11 11 11 10 9 9 8 7 6 7 9 10 10 10 10 11 12 13 12 12 12 11 11 10 10 10 10 9 7 6 6 6 8 9 10 11 11 8 8 9 10 13 13 12 10 8 8 9 10 8 9 10 12 12 12 10 9 8 8 9 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 9 9 9 9 10 13 16 19 22 25 27 28 27 nan
nan 9 6 3 -2 -8 -9 -2 7 11 11 11 12 14 17 20 20 20 20 18 13 8 4 2 5 8 11 13 15 21 26 26 21 14 11 9 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 7 7 9 12 13 13 13 13 13 14 14 13 13 11 10 11 11 12 13 13 13 13 14 14 13 12 13 13 12 11 10 11 10 10 12 14 15 14 13 10 10 10 8 8 9 10 9 8 10 10 9 10 11 13 11 10 11 12 12 12 12 11 12 11 11 10 10 10 10 10 10 9 9 9 10 11 13 14 17 22 27 29 nan
nan 5 2 -5 -7 -3 2 8 11 12 12 14 17 21 23 23 21 19 17 15 10 7 5 7 11 13 14 16 19 24 24 20 14 10 9 10 10 10 11 11 10 10 10 10 9 9 10 10 11 11 10 8 9 9 10 10 9 8 8 8 8 10 13 15 16 16 14 12 12 13 14 13 12 12 12 13 14 15 15 15 16 17 18 19 18 16 16 15 14 13 13 13 11 10 12 13 15 17 16 13 11 10 9 8 8 7 6 7 10 10 9 11 11 12 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 13 17 20 nan
nan -1 -2 -4 -1 6 10 12 13 14 17 20 24 26 25 22 19 17 14 11 7 6 8 11 14 15 15 17 22 22 19 15 11 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 11 11 9 9 8 9 10 11 13 15 15 15 13 12 12 13 13 13 13 14 17 18 17 17 17 17 16 15 16 16 16 16 16 16 14 13 13 14 14 13 13 13 13 15 17 16 13 10 8 8 8 7 6 7 8 8 9 10 10 11 12 10 10 11 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 14 nan
nan 2 4 7 10 12 14 17 19 22 25 27 27 25 21 18 16 14 10 6 5 7 11 14 15 14 15 19 21 19 15 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 8 10 11 10 10 10 10 10 10 11 12 13 14 14 14 13 12 11 11 11 13 14 12 13 15 17 18 18 17 17 18 17 16 15 13 13 14 15 14 12 12 14 17 20 19 16 13 13 15 15 15 14 12 9 8 7 9 9 9 8 7 9 11 10 11 11 11 11 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 11 10 11 nan
nan 13 14 13 15 17 21 25 28 29 28 26 22 17 14 12 11 10 8 6 8 12 16 17 15 13 15 18 18 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 10 10 10 10 11 12 14 14 14 14 14 13 12 11 11 11 10 10 11 12 11 11 13 14 13 13 13 15 16 16 16 15 14 13 13 14 13 14 15 18 23 25 23 18 13 13 14 14 14 15 15 13 10 8 7 8 9 8 7 9 11 11 11 10 11 11 11 10 10 11 12 14 14 13 12 12 11 11 10 10 10 10 10 11 11 10 11 12 12 12 11 10 nan
nan 20 17 19 23 25 26 25 23 21 18 15 13 10 9 8 9 10 11 11 14 18 20 18 14 13 15 15 13 11 11 12 11 10 10 10 9 10 11 10 9 9 10 11 9 9 10 11 11 11 10 9 10 11 13 15 14 13 13 13 12 12 11 11 11 11 10 10 11 11 10 11 12 12 11 11 11 13 13 14 14 14 15 14 15 15 15 17 20 24 27 25 20 15 12 11 11 13 15 16 16 15 13 10 7 7 9 9 9 10 11 11 10 10 11 10 9 10 11 12 13 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 12 10 10 nan
nan 18 17 21 21 18 13 11 11 12 12 11 10 9 9 10 11 13 14 15 17 19 17 15 12 12 13 12 10 10 11 12 11 9 9 8 8 9 10 9 9 10 12 11 9 9 10 11 10 10 11 11 11 11 12 14 13 12 12 12 12 11 11 11 10 11 11 11 11 11 10 11 11 11 12 12 13 13 12 12 12 12 13 14 15 16 17 21 25 29 25 20 15 13 12 11 9 10 14 15 16 16 15 13 11 9 10 11 11 11 11 11 10 11 11 11 10 10 10 9 11 12 11 11 12 12 11 10 10 10 11 10 9 10 10 10 10 10 10 11 10 10 nan
nan 14 14 16 14 11 9 12 15 17 17 13 11 10 10 11 13 14 14 13 13 12 11 10 10 11 11 10 9 10 11 11 10 9 7 7 8 10 11 11 11 11 11 10 10 10 11 11 11 10 11 11 10 10 12 14 13 12 11 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 12 13 13 12 12 12 12 11 12 13 15 17 20 23 26 24 19 15 12 12 13 13 11 10 11 12 13 16 17 16 15 14 12 12 11 9 8 9 10 10 11 12 12 11 10 9 9 8 9 9 10 11 11 11 11 10 9 9 10 11 11 11 10 11 11 10 10 10 nan
nan 13 14 16 17 19 21 21 21 19 15 12 10 10 10 11 12 12 11 9 10 10 10 9 9 10 10 10 10 9 10 10 10 10 10 10 10 11 12 12 13 12 9 7 9 10 11 11 10 9 10 9 9 11 12 13 14 14 13 11 11 11 11 11 11 13 13 12 11 10 10 10 11 12 12 13 12 12 12 11 11 11 11 12 14 16 19 22 21 18 16 13 10 11 12 13 13 11 11 11 11 13 16 17 18 18 17 15 12 9 6 7 8 9 10 11 11 11 11 11 10 9 10 11 11 12 13 13 13 13 12 11 11 12 13 12 11 11 12 12 11 10 nan
nan 15 14 15 17 19 19 17 15 12 10 8 8 10 11 10 10 10 8 8 10 11 10 10 9 8 9 10 10 9 10 12 13 13 12 12 12 12 11 11 11 10 9 9 9 9 10 10 10 10 11 11 12 12 13 12 12 13 12 10 9 9 10 10 11 13 14 13 11 10 10 10 11 12 11 11 11 11 11 10 10 10 10 11 11 12 15 18 18 17 15 11 10 10 10 10 11 12 12 13 12 10 12 15 20 24 23 19 13 11 9 9 9 9 9 10 11 11 13 13 13 12 13 14 13 12 12 13 15 17 17 16 15 15 15 14 13 12 12 13 12 11 nan
nan 16 13 13 13 13 12 11 9 9 9 8 8 10 10 10 11 10 8 8 10 11 11 11 9 8 9 10 11 11 11 12 13 11 10 12 13 10 10 10 11 10 10 9 9 10 11 11 12 11 11 11 11 11 12 13 11 11 10 8 9 11 12 11 12 13 14 12 10 10 10 10 11 11 11 11 12 11 9 10 10 10 10 10 10 10 12 14 15 15 13 10 9 9 9 10 10 12 12 13 13 13 14 19 26 27 25 20 16 13 12 11 10 10 10 10 11 12 13 14 13 12 13 14 12 10 9 10 14 18 18 18 17 17 17 16 15 15 14 13 13 13 nan
nan 13 12 11 10 10 10 10 9 9 9 9 9 8 9 10 10 10 9 9 9 10 11 11 10 8 9 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 9 10 11 11 11 11 10 10 11 10 11 12 11 11 11 10 11 13 13 11 12 13 13 11 10 10 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 14 12 11 10 10 11 12 12 13 14 13 13 15 16 23 28 28 25 19 15 15 14 12 12 11 11 11 12 13 12 12 11 12 12 11 9 7 7 8 13 15 14 13 14 15 16 17 17 17 16 16 15 14 nan
nan 11 11 10 9 9 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 11 11 11 11 10 9 8 9 11 11 10 10 11 11 11 11 11 11 10 10 11 10 11 12 11 11 11 12 12 11 12 11 10 11 11 12 10 10 12 13 12 11 9 10 11 11 11 12 12 11 12 11 11 11 11 11 12 13 14 14 13 11 11 12 13 14 15 16 16 13 11 12 18 23 24 21 17 14 13 12 12 12 11 11 12 12 11 11 10 10 11 11 9 7 7 9 12 13 13 12 12 11 11 12 14 16 17 18 18 17 17 nan
nan 10 10 9 9 10 10 10 9 9 8 9 9 10 10 10 9 10 10 9 10 9 10 10 10 10 10 10 11 10 10 10 11 11 11 11 9 10 11 11 10 10 10 11 12 11 10 10 11 10 10 10 11 11 11 11 11 11 11 10 11 11 10 10 11 11 12 12 11 11 13 13 11 9 10 12 13 13 12 11 11 11 10 10 11 10 10 12 13 14 15 13 11 12 13 13 14 14 15 15 13 9 8 10 15 16 17 15 13 11 11 10 11 10 10 11 10 10 11 9 9 10 10 8 9 10 13 14 14 15 15 13 11 10 10 11 13 16 17 18 19 20 nan
nan 10 9 9 10 10 10 10 9 9 9 9 10 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 11 11 10 10 11 11 11 10 10 9 10 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 12 12 10 10 11 12 11 10 10 10 10 9 9 9 9 9 10 12 14 14 15 14 12 12 11 12 13 13 13 13 12 10 10 9 8 11 11 10 10 10 9 9 10 10 10 10 9 9 10 10 9 9 9 9 10 13 14 12 12 13 14 12 12 12 12 12 12 13 14 17 19 19 nan
nan 10 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 7 8 10 12 13 12 11 11 11 10 10 9 10 10 11 11 11 12 11 10 10 9 11 11 11 11 10 10 11 11 12 11 10 9 9 10 11 10 9 9 10 10 11 10 9 10 10 10 12 14 15 15 13 11 10 9 10 9 9 10 13 13 12 13 9 6 9 11 10 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 10 12 11 11 11 12 12 10 10 11 12 12 11 11 12 13 15 16 nan
nan 10 10 10 10 10 10 10 9 9 10 10 10 9 9 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 10 9 9 9 9 8 7 8 10 12 13 12 11 10 10 10 10 9 9 10 11 11 12 11 11 11 11 10 11 12 12 11 10 10 10 10 9 10 10 10 10 10 11 11 12 11 11 11 11 12 11 10 11 11 10 12 14 15 13 11 11 9 8 8 7 7 11 13 11 11 11 10 11 14 18 14 7 5 3 6 8 10 10 10 9 9 9 8 8 9 9 9 10 10 11 12 11 11 11 11 10 10 11 10 11 11 11 11 12 13 nan
nan 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 10 8 8 7 8 8 8 9 11 13 13 11 11 10 10 10 10 10 9 10 10 11 11 11 11 11 11 12 12 13 13 11 10 10 10 10 9 9 10 10 11 10 10 11 12 12 11 12 11 12 12 12 11 11 10 11 12 15 14 11 11 11 11 9 8 6 7 11 11 10 9 10 12 15 19 22 20 12 2 -1 1 4 7 8 9 10 10 9 8 8 9 9 11 10 10 11 12 11 10 9 10 10 11 11 11 12 11 11 11 11 10 nan
nan 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 9 11 13 14 13 11 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 11 11 11 11 10 10 10 11 11 10 10 11 11 11 11 11 11 12 11 11 11 10 11 13 15 16 13 11 11 11 11 10 8 7 7 9 9 10 10 11 12 17 22 22 22 21 12 3 -1 -0 2 5 8 10 10 10 9 9 9 11 12 11 11 13 12 12 11 9 9 10 10 10 11 11 10 10 11 11 11 nan
nan 10 10 11 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 10 11 10 9 8 8 9 8 8 11 14 14 14 13 12 10 11 11 12 12 11 10 10 10 10 10 11 11 11 12 12 11 12 12 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 12 13 15 16 14 13 11 11 11 10 8 7 7 8 9 10 10 10 11 17 21 20 18 20 26 20 11 3 -1 1 4 9 11 10 9 9 10 10 11 11 12 12 12 13 11 8 9 10 10 11 13 12 10 11 12 12 12 nan
nan 10 10 10 11 10 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 9 10 10 10 10 12 14 15 14 12 11 10 10 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 10 10 10 10 11 11 11 11 13 12 12 12 12 12 12 13 16 16 16 14 11 10 10 10 9 8 8 7 9 10 9 9 10 12 13 16 15 15 26 31 31 19 4 -0 2 6 9 10 10 10 11 10 9 9 10 11 11 13 14 10 10 10 10 11 12 10 9 10 10 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 14 13 12 10 10 10 11 11 12 12 12 11 10 10 10 10 11 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 10 10 11 12 11 10 10 11 11 11 11 11 13 14 15 17 16 14 11 10 10 9 9 9 8 8 8 9 9 10 11 11 10 13 13 12 18 26 35 33 17 5 1 4 8 9 10 11 11 11 9 9 10 11 11 12 12 12 12 11 11 11 10 9 10 12 12 11 8 nan
nan 10 10 10 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 10 11 12 12 11 10 10 10 10 10 10 11 12 12 11 10 10 10 10 11 11 11 11 10 11 11 11 10 11 12 12 11 10 10 10 10 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 12 13 15 16 16 13 11 10 10 9 9 9 8 8 9 9 10 11 12 12 11 11 11 10 13 19 26 33 30 18 8 5 7 8 9 9 10 10 9 9 9 10 11 12 12 11 11 11 10 10 10 11 14 15 14 12 9 nan
nan 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 11 12 12 11 10 10 11 11 10 11 10 11 11 11 12 12 11 11 11 12 11 10 10 10 10 11 10 9 9 10 10 11 11 10 10 11 11 11 11 10 10 11 11 12 14 15 14 12 11 11 10 9 9 9 9 9 9 10 11 13 12 11 12 13 13 13 16 18 22 27 28 21 13 8 6 5 5 6 9 8 8 8 9 9 11 12 13 12 11 10 8 8 10 12 14 14 14 15 16 nan
nan 10 10 10 11 11 10 10 10 10 10 11 10 10 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 10 10 11 11 10 10 11 11 11 11 11 11 10 10 11 12 11 10 10 10 10 11 12 12 12 11 11 12 11 10 10 10 10 10 10 9 9 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 11 13 13 11 10 9 10 10 9 9 10 10 11 11 12 13 13 13 14 16 18 19 18 16 16 17 19 16 14 12 10 5 -1 -4 -3 2 4 6 8 8 8 10 13 14 14 12 9 8 9 10 11 13 13 13 14 18 nan
nan 10 9 10 10 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 10 10 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 10 11 10 10 10 10 10 10 11 12 11 11 12 11 11 11 11 11 10 10 9 9 8 9 10 10 10 10 11 12 12 12 11 10 10 10 9 10 11 12 12 9 7 8 9 10 10 9 9 9 11 13 14 14 14 15 16 18 19 14 10 10 11 12 12 12 15 17 15 9 1 -7 -10 -9 -7 0 5 6 7 9 11 13 14 11 8 8 10 11 11 11 11 11 12 13 nan
nan 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 10 9 10 10 10 11 10 10 10 10 9 10 11 10 10 11 11 11 11 10 10 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 9 8 8 8 9 9 10 12 13 13 11 10 10 10 9 10 10 10 11 11 8 7 8 9 12 12 11 11 12 14 13 13 13 14 15 14 11 8 7 7 8 9 10 11 14 18 21 22 19 12 5 -2 -7 -8 -5 -2 -1 4 8 10 11 12 10 8 10 11 12 11 11 10 11 12 12 nan
nan 10 11 10 10 10 10 11 10 10 10 11 11 11 11 11 10 10 11 11 11 10 10 11 11 11 10 10 10 11 11 11 10 9 9 10 10 9 10 10 11 11 10 10 11 11 11 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 9 9 10 10 10 10 11 13 13 11 10 10 10 9 9 9 9 9 10 10 9 9 10 10 15 18 18 18 18 15 12 11 12 12 11 8 6 5 6 8 10 11 11 12 14 16 19 23 25 22 18 14 10 5 -0 -3 -4 -0 3 6 8 8 10 11 11 12 12 12 12 13 13 11 10 nan
nan 10 11 10 10 9 9 10 11 10 10 11 11 10 10 11 11 10 11 11 11 10 10 11 11 11 10 10 11 12 12 10 9 9 10 10 10 10 10 11 12 12 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 11 10 11 10 10 10 9 10 10 11 11 11 12 12 13 13 13 14 14 12 10 9 9 9 9 10 9 9 9 11 11 11 10 10 13 17 21 21 20 17 13 12 11 11 9 7 6 7 9 10 11 11 12 14 14 14 14 15 17 21 26 26 23 19 15 10 10 6 -0 -0 1 2 3 9 10 9 11 11 11 12 12 11 10 8 nan
nan 11 10 10 9 9 9 10 10 10 11 11 11 10 11 11 10 11 11 11 10 11 10 10 10 10 10 11 11 11 11 10 10 11 12 12 11 11 10 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 11 11 10 9 8 9 10 11 11 11 11 12 12 12 14 15 15 14 11 9 8 9 9 10 11 10 10 10 12 14 13 11 12 13 16 19 18 16 13 13 12 11 9 8 7 8 9 10 10 11 12 12 13 13 13 13 12 11 12 19 24 23 19 17 14 16 20 17 16 15 9 2 0 3 4 3 6 6 6 9 9 8 8 nan
nan 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 11 11 12 12 11 11 11 11 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 9 10 11 10 11 11 12 12 11 11 10 12 12 12 10 9 9 9 10 11 12 11 11 11 11 13 14 14 14 14 14 15 15 14 13 12 12 13 12 10 8 7 8 9 9 11 12 13 12 11 12 12 11 10 9 11 13 15 17 18 18 18 20 25 29 34 36 25 11 -2 -7 -8 -10 -6 -2 1 3 4 4 6 nan
nan 9 9 9 10 10 11 11 11 11 10 10 10 11 11 10 10 11 11 10 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 12 12 12 11 11 10 10 11 11 11 11 12 11 11 11 11 11 11 10 9 8 8 8 10 12 12 12 11 11 12 12 14 15 15 14 13 13 13 14 13 12 11 11 12 11 10 8 6 7 9 10 12 13 12 12 12 12 11 11 11 11 11 11 11 12 16 18 19 22 26 31 38 39 32 19 6 -2 -6 -13 -17 -16 -12 -8 -6 -5 -2 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 12 11 11 11 10 10 11 11 11 11 11 10 11 10 11 11 11 12 12 13 12 11 11 10 10 10 11 11 11 11 10 10 11 11 11 10 10 9 8 8 10 12 12 12 11 11 11 12 12 13 15 15 13 11 12 14 15 14 12 11 11 11 11 9 6 6 7 9 11 12 12 12 12 12 12 12 13 13 12 11 9 8 10 13 15 16 19 24 29 33 36 34 25 17 11 6 -0 -9 -13 -14 -13 -12 -12 -13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 8 10 12 15 17 20 24 27 29 31 32 34 35 36 38 38 39 40 40 40 40 42 42 43 44 44 44 42 40 36 32 26 22 22 25 29 34 40 43 45 48 53 60 71 78 79 74
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 10 13 16 19 21 22 23 24 26 28 31 33 35 36 37 37 38 39 40 41 42 42 41 39 36 30 24 20 20 21 23 27 34 38 41 42 44 51 61 72 78 79
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 11 14 16 17 18 18 20 22 25 28 30 32 34 35 37 38 39 39 39 40 40 39 36 31 25 22 20 21 22 25 30 36 40 39 38 39 45 54 63 70
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 10 13 15 17 18 19 20 22 24 26 28 29 31 33 35 37 38 38 38 38 38 38 36 33 28 24 22 22 23 26 31 38 42 41 38 36 37 41 46 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 10 13 17 20 22 23 24 25 26 27 28 28 28 30 32 35 36 37 37 36 36 37 38 37 34 29 26 24 25 29 35 42 46 46 43 39 36 36 37 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 2 4 7 10 13 17 20 23 24 26 27 27 26 26 26 26 26 28 31 34 35 35 34 33 34 36 38 38 34 30 28 30 34 41 46 49 50 48 45 40 37 35 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 6 6 6 6 5 5 4 3 3 3 3 2 2 3 4 5 6 9 11 14 17 20 21 22 23 22 21 20 20 20 21 23 26 28 31 32 31 31 31 34 37 39 38 35 33 34 39 44 48 50 52 51 49 45 41 37 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 9 11 13 15 15 15 14 13 12 12 11 10 9 8 8 8 8 8 9 10 11 13 14 15 16 16 15 14 13 12 12 13 14 16 19 22 25 27 28 28 29 31 34 37 38 37 36 38 41 45 48 50 52 51 50 48 45 42 38
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 11 15 19 22 24 25 25 24 23 21 19 16 16 14 13 13 12 13 14 15 16 18 18 17 15 14 12 11 9 8 7 7 8 9 11 14 16 19 22 24 26 27 29 31 33 35 36 38 41 43 46 49 52 53 53 52 51 49 47 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 4 6 9 13 17 21 25 27 29 29 29 29 28 25 20 17 15 14 13 13 13 16 19 22 25 26 26 24 21 18 14 12 10 8 7 7 7 8 9 10 12 15 17 20 22 24 26 28 30 31 33 35 38 42 46 50 55 59 60 59 58 55 53 50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 2 3 4 3 3 3 2 1 0 0 0 0 1 1 2 2 3 5 8 13 18 22 24 26 28 29 30 30 29 27 22 16 13 12 10 10 10 11 15 19 22 25 27 27 27 24 22 19 16 13 11 10 8 8 8 8 9 10 12 14 16 18 21 24 26 27 29 30 32 34 37 41 47 56 64 69 70 68 66 63 60
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 1 3 3 3 4 5 6 6 6 5 5 6 5 4 3 2 2 2 2 2 3 3 4 5 8 14 19 22 24 25 26 27 28 29 28 24 18 13 10 8 7 7 7 8 10 12 15 16 18 20 21 21 20 19 17 15 13 12 10 9 8 8 8 8 9 10 12 14 17 20 23 25 27 28 30 31 33 33 39 48 56 64 67 68 70 70 70
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 4 4 4 5 6 7 8 7 7 6 7 9 9 8 7 5 4 4 4 3 3 3 4 4 7 11 16 19 21 22 24 26 27 27 25 20 14 10 7 5 3 3 3 4 6 7 8 9 10 11 12 14 15 16 15 14 13 12 10 9 8 7 7 7 7 7 8 10 13 16 19 22 25 28 29 29 30 30 31 34 36 40 46 50 54 58 64
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 2 3 4 4 3 3 4 6 5 5 4 5 6 6 7 7 7 9 10 11 10 10 9 8 7 6 4 3 2 2 3 4 5 8 12 14 16 18 20 21 21 20 18 12 8 5 3 1 1 0 0 1 1 2 4 5 6 7 8 9 10 11 12 12 11 10 9 8 7 7 6 6 6 6 7 8 10 12 15 19 23 26 27 28 28 27 27 26 26 25 25 27 29 30 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 3 1 1 1 2 3 3 5 6 6 6 6 6 8 7 6 6 6 6 6 5 6 8 9 9 8 7 7 6 6 6 5 3 1 0 2 3 5 7 9 11 13 14 14 14 14 13 11 8 4 2 1 0 0 0 0 0 0 0 1 1 2 3 5 6 8 8 9 9 9 9 8 8 8 7 7 7 6 6 6 6 7 8 9 11 14 18 22 25 26 26 24 23 22 21 20 19 18 19 19 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 3 3 2 3 4 5 7 10 10 9 10 10 9 9 9 9 10 9 7 6 5 5 6 7 7 6 4 4 4 5 5 4 2 0 0 2 5 8 10 11 12 13 13 12 12 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 11 14 17 20 23 24 23 22 19 16 13 12 12 12 12 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 3 2 2 3 4 4 7 9 9 9 9 9 9 8 8 9 10 10 8 7 6 6 5 5 5 4 4 4 4 5 5 4 2 1 0 2 5 7 9 10 10 11 11 11 10 10 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 8 8 9 10 10 11 12 12 11 10 10 9 9 9 10 12 14 16 19 21 22 22 21 19 15 11 9 7 6 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 2 1 2 2 4 5 6 6 5 6 6 6 7 7 8 8 8 8 7 6 6 5 5 4 3 3 5 6 6 4 3 2 2 3 4 5 8 9 9 9 9 9 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 6 7 9 10 12 13 13 12 12 11 10 10 10 11 12 14 15 17 18 20 21 21 20 19 16 13 9 6 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 1 2 3 5 6 6 5 6 5 4 5 6 7 8 8 8 8 6 6 6 6 5 5 4 5 5 6 6 5 3 3 3 4 4 6 7 8 9 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 9 10 11 11 11 10 10 11 11 12 14 15 16 17 18 19 20 20 20 19 18 16 13 9 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 2 3 4 4 5 8 8 7 5 3 4 5 7 8 8 8 8 6 7 8 7 5 5 5 5 6 6 7 6 4 4 4 5 5 5 5 6 7 7 6 5 4 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 9 9 9 10 10 12 14 16 18 19 20 20 20 20 20 20 20 19 17 16 13 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 3 5 6 6 6 7 8 7 6 5 5 5 6 7 7 7 7 8 9 9 6 4 4 4 5 6 7 7 6 5 4 5 6 6 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 1 2 2 3 4 5 4 4 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 9 9 10 11 12 14 16 18 20 21 22 22 21 21 21 21 21 20 19 17 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 6 6 6 6 7 6 6 7 6 6 7 6 6 6 6 8 8 4 3 3 4 6 8 7 6 4 4 4 4 5 5 4 5 5 3 2 2 1 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 6 6 5 4 4 4 5 4 4 2 2 1 1 1 2 3 4 6 7 8 9 10 11 11 12 13 15 16 18 20 21 22 22 22 22 22 22 23 23 22 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 7 6 5 6 5 5 5 5 6 6 5 4 4 4 5 6 5 4 4 5 7 9 8 4 2 1 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 1 3 4 5 5 6 7 7 8 8 7 8 9 10 11 13 14 13 11 8 6 5 6 6 6 8 9 10 11 12 12 12 12 12 12 13 14 16 18 20 22 24 24 25 26 26 26 26 25 24
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 5 5 5 4 4 6 5 5 5 5 5 4 4 3 3 2 4 5 6 6 6 6 8 9 8 5 2 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 1 2 4 6 7 8 8 9 10 11 11 11 11 12 14 16 19 20 20 19 16 14 13 13 13 14 14 15 15 15 15 14 13 13 12 12 12 13 14 16 19 21 25 27 29 29 30 30 29 28 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 4 3 3 3 3 3 2 2 3 2 2 3 3 4 4 4 5 6 6 6 6 7 7 6 5 3 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 5 6 7 7 8 9 10 11 12 13 15 17 20 23 24 23 22 20 19 19 20 20 20 20 19 19 18 17 15 14 13 12 12 13 14 16 18 20 23 26 29 31 32 33 32 31 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 5 4 3 2 2 2 3 3 2 2 3 4 4 4 5 4 5 5 6 3 5 6 6 5 5 3 1 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 1 0 0 0 0 0 1 2 2 2 3 4 6 8 10 14 16 18 21 22 24 23 21 20 20 22 22 21 20 19 17 17 16 15 14 13 14 14 14 15 16 17 18 20 23 25 28 30 32 33 32 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 7 6 5 4 3 2 2 2 4 3 3 3 4 4 4 5 4 5 5 5 5 4 4 5 4 4 2 2 1 0 0 0 0 0 0 0 1 3 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 13 17 20 21 22 22 21 19 19 21 21 21 18 16 14 12 11 11 11 12 12 14 14 15 16 17 17 18 19 20 23 25 28 30 31 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 7 6 6 5 4 3 2 2 3 4 3 3 3 4 4 5 5 4 4 4 5 6 5 6 6 3 3 3 2 1 0 0 0 0 0 0 0 1 2 3 4 3 2 1 0 1 2 2 2 2 2 2 2 1 1 0 0 0 0 2 4 8 14 18 20 21 21 21 20 20 20 20 20 17 14 11 9 7 7 7 8 9 11 12 14 16 17 18 18 18 18 18 20 22 24 27 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 7 6 6 5 5 4 4 3 2 2 4 5 5 4 4 5 5 5 6 5 5 5 6 6 6 5 4 3 3 3 2 1 2 2 1 0 0 0 0 1 2 2 3 3 1 0 0 1 2 3 4 4 4 3 3 3 3 2 1 1 0 0 1 2 6 11 14 17 19 20 20 21 21 21 20 18 15 12 9 8 6 6 6 6 8 10 12 14 16 18 19 18 17 16 16 16 19 21 24
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 7 7 6 5 4 4 4 4 3 2 2 4 5 4 5 5 6 6 6 6 6 6 6 7 6 5 4 3 3 3 3 3 3 3 3 3 1 0 0 2 3 3 4 2 2 1 0 0 0 1 2 3 4 4 3 3 3 3 2 2 1 0 0 0 0 1 3 6 10 14 17 20 21 22 22 21 20 19 17 15 13 11 10 8 7 8 8 10 12 14 15 17 17 17 16 14 14 14 16 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 7 6 4 4 3 3 4 5 4 3 2 4 4 4 5 6 6 6 6 6 6 6 6 7 7 6 6 4 3 3 3 3 3 3 3 3 1 0 1 3 5 5 4 2 1 0 0 0 0 0 1 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 1 2 6 12 17 21 24 24 24 23 22 21 21 20 19 17 15 13 12 10 10 10 10 11 12 12 14 14 13 13 12 12 12 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 6 6 4 3 4 4 4 5 5 3 4 5 6 6 6 6 6 6 7 7 6 6 6 6 6 7 5 5 5 4 3 3 2 2 2 1 0 0 1 3 5 6 5 4 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 13 20 26 30 30 28 27 25 24 23 23 22 21 19 16 14 12 11 10 9 9 9 9 9 9 10 10 10 10 10 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 9 8 7 4 5 5 6 7 7 6 5 6 6 5 5 5 5 6 6 5 4 5 4 4 6 6 5 4 4 3 3 3 2 2 3 2 1 0 1 3 6 6 5 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 15 22 30 33 34 32 30 27 25 24 24 24 24 22 19 16 14 12 11 10 9 8 8 7 6 6 6 7 7 8 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 10 11 10 7 6 6 7 8 8 5 6 6 5 4 4 4 5 6 6 5 5 4 3 2 4 5 5 4 3 3 3 2 2 2 2 3 2 0 1 3 7 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 9 12 16 21 27 31 34 34 33 28 25 24 24 25 25 24 22 19 16 14 12 11 11 10 9 8 7 6 6 6 6 7 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 8 10 11 11 11 9 8 7 7 7 8 6 6 5 4 4 3 4 4 5 5 5 4 3 2 2 3 3 4 4 3 3 3 2 2 2 3 3 2 0 1 3 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 8 11 14 17 20 24 29 33 37 38 36 32 28 25 25 25 26 24 22 19 16 15 14 13 12 11 10 9 8 8 7 8 8 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 8 9 10 10 10 9 8 7 6 6 6 5 5 4 4 3 2 2 3 4 4 4 4 4 3 2 3 4 4 4 4 4 3 2 2 3 3 4 3 1 1 2 2 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 12 15 18 22 25 30 34 37 38 38 36 31 28 26 26 25 23 21 19 18 16 15 14 12 11 10 10 10 10 10 10 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 8 8 9 8 7 7 6 6 5 5 4 4 4 3 2 2 1 2 2 3 3 3 2 2 2 2 3 3 4 4 4 4 4 5 6 6 4 4 4 4 3 2 2 1 1 2 2 1 0 0 1 2 3 2 2 2 2 2 2 3 4 3 2 2 1 1 1 2 3 5 8 11 14 18 21 24 27 30 35 41 42 39 34 30 26 25 25 24 24 22 21 19 16 14 11 10 9 10 10 11 12 14
0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 8 8 6 6 5 5 5 5 4 4 3 3 2 2 2 2 2 3 3 3 2 2 2 2 2 3 4 5 6 6 7 6 6 5 6 7 6 7 6 5 4 4 4 5 4 2 2 1 2 3 5 7 6 6 6 6 8 10 13 12 10 7 5 3 2 0 0 0 2 4 6 9 12 16 18 21 25 32 38 41 41 39 34 30 28 27 28 28 28 27 25 21 17 14 12 11 10 11 12 13 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 10 10 8 7 6 5 5 5 5 5 4 3 2 2 2 3 3 4 5 5 6 5 5 5 6 6 6 6 7 7 8 9 10 9 6 5 5 5 6 6 6 6 5 5 6 7 7 7 5 5 3 2 5 10 10 12 12 12 12 16 18 21 20 16 10 7 4 2 0 0 0 0 1 2 5 8 11 14 18 22 28 32 33 33 34 34 33 30 28 27 28 29 30 29 25 21 19 17 15 14 13 13 14 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 7 5 4 3 4 4 4 5 4 4 3 3 3 4 5 5 6 7 7 7 6 6 7 9 10 10 10 8 8 9 10 9 7 5 4 4 4 4 3 4 4 5 5 6 8 9 11 12 9 5 4 6 11 14 14 14 13 11 15 18 20 19 15 10 6 4 1 0 0 0 0 0 0 2 5 8 10 14 17 20 21 21 21 23 26 27 25 22 20 20 21 22 22 20 19 18 18 18 17 16 15 15 16
0 0 0 0 0 0 0 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 1 3 4 4 5 4 3 1 1 2 3 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 6 6 7 9 10 9 7 4 5 7 8 8 6 5 3 1 3 4 4 4 4 5 6 8 8 8 10 11 9 6 3 2 7 11 12 10 9 8 10 12 13 13 10 8 5 4 2 2 1 1 0 0 0 2 4 6 8 9 10 11 11 10 11 14 17 19 17 14 12 12 12 12 11 11 10 10 12 13 15 17 17 18 19
0 0 0 0 0 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 3 4 5 4 2 1 0 0 1 2 2 3 4 4 4 5 5 5 6 6 5 4 3 3 3 4 5 6 7 8 10 9 5 4 5 7 9 6 5 5 4 2 3 4 4 4 3 5 7 6 5 7 9 9 7 4 0 1 4 7 10 10 6 5 5 6 7 8 7 6 6 6 5 5 4 3 2 2 3 4 6 7 7 7 6 5 4 4 4 7 11 13 11 9 7 6 5 5 4 3 3 4 5 7 10 14 18 21 26
0 0 0 0 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 4 4 3 3 1 0 0 0 0 1 2 2 3 4 4 5 5 5 5 5 4 3 2 1 2 2 4 6 7 8 9 10 8 6 7 9 11 9 6 5 5 6 4 4 5 5 4 2 2 2 2 2 3 7 8 6 1 0 2 4 6 9 8 6 6 6 4 5 5 5 6 7 9 9 10 9 8 6 5 5 7 8 8 8 7 5 4 2 2 2 4 6 7 6 5 4 4 3 2 2 1 1 1 2 4 7 12 18 25 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 6 4 2 1 0 0 0 0 1 2 2 3 3 4 4 5 4 4 4 3 2 1 1 1 1 2 4 6 6 7 8 9 9 9 10 12 13 9 6 5 5 5 6 6 5 5 4 2 1 0 0 0 1 5 7 4 2 2 2 3 4 7 7 6 6 6 2 2 2 2 4 8 10 13 16 16 14 11 8 7 8 8 8 8 7 5 3 2 2 2 4 4 5 5 4 4 3 3 3 2 0 0 0 0 2 5 12 20 30 39
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 7 7 6 4 2 1 0 0 0 1 2 2 3 4 4 4 5 5 4 4 3 2 2 1 1 1 1 1 2 3 4 5 5 5 6 8 9 11 12 13 10 7 5 4 5 6 6 5 4 3 2 1 0 0 0 0 3 5 3 2 1 1 3 3 8 8 5 5 5 2 0 0 0 1 4 9 14 19 20 19 16 11 9 8 7 7 7 6 5 3 2 2 3 4 5 5 5 5 5 5 5 5 3 2 0 0 0 1 4 11 22 34 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 9 9 7 4 1 0 0 0 0 1 2 4 4 5 6 6 6 6 6 5 4 3 2 2 1 1 1 2 2 2 3 3 3 3 4 5 7 8 9 10 11 10 8 5 5 5 5 6 4 2 2 2 2 0 0 0 1 3 6 4 2 3 6 7 6 8 11 12 8 5 2 0 0 0 0 1 5 10 16 19 21 21 18 15 13 11 9 8 7 5 3 2 2 4 6 7 7 7 7 7 8 8 7 5 3 1 0 0 2 6 13 25 38 51
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 10 8 5 1 0 0 0 0 1 2 4 5 6 6 6 6 6 5 5 4 3 2 2 2 2 2 2 3 3 3 4 3 3 3 4 4 5 6 7 7 8 9 8 6 5 4 5 5 5 4 3 1 1 0 0 0 1 2 4 4 4 6 11 11 9 7 8 11 9 6 2 1 1 0 0 0 2 5 11 16 20 24 25 24 22 20 18 16 12 7 3 2 2 2 4 6 7 8 9 9 8 8 7 5 4 2 2 4 7 12 20 31 44 58
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 11 11 9 6 2 0 1 1 2 2 2 3 4 5 6 6 6 6 6 5 4 4 3 3 2 2 2 3 3 4 4 4 4 4 3 4 4 4 4 4 5 6 6 7 8 6 5 4 4 4 4 4 4 2 1 0 0 0 0 4 8 9 6 4 7 9 8 5 6 8 8 6 5 3 1 0 0 0 1 3 7 11 18 24 28 29 27 26 25 22 17 11 7 5 4 4 5 6 8 9 10 10 9 8 7 6 6 8 10 13 17 22 29 38 53 64
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 11 10 8 5 2 1 1 2 4 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 2 3 3 4 4 3 3 3 3 3 2 2 2 2 3 4 5 5 6 6 6 6 5 4 4 4 4 4 3 1 0 0 0 1 5 8 8 4 4 6 8 6 5 6 5 3 2 3 2 2 2 3 2 1 2 4 7 13 18 22 24 24 26 26 26 22 16 11 9 8 8 8 9 10 10 10 10 10 10 10 10 12 15 20 24 28 32 36 44 55 63
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 9 7 4 1 0 0 2 4 7 8 9 8 7 6 6 6 6 6 6 5 5 5 4 4 3 2 2 2 2 3 2 2 2 2 2 2 1 1 1 2 2 3 4 4 4 5 6 6 6 5 4 4 4 3 2 1 0 0 0 2 6 10 10 6 6 6 6 4 5 5 4 2 1 2 1 1 2 3 2 2 1 1 2 5 9 12 16 18 21 24 26 23 18 14 10 9 8 9 10 11 10 10 10 11 12 13 15 17 20 23 26 29 32 36 40 45 50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 7 5 2 0 0 2 5 8 10 11 11 9 7 7 6 6 6 6 6 6 5 5 5 4 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 4 5 5 5 6 5 3 4 3 2 1 0 0 2 6 10 11 8 5 3 1 1 2 3 2 2 2 1 1 0 1 1 2 1 1 0 1 2 3 6 10 14 18 22 24 22 18 13 9 8 8 9 10 11 11 12 12 13 14 15 16 16 17 19 21 22 23 26 29 32 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 9 7 5 3 1 2 4 7 10 12 13 12 10 8 7 7 6 6 6 6 6 6 5 5 4 3 3 3 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 4 4 5 6 6 6 5 4 3 1 1 1 2 6 8 9 9 6 2 1 2 3 3 2 2 2 2 2 2 1 1 1 1 2 1 0 0 0 3 7 12 16 20 21 20 17 13 10 10 10 12 13 14 15 14 14 14 15 15 15 14 15 16 17 18 18 19 23 26 28
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 7 9 10 9 8 6 5 5 6 8 10 12 13 12 10 8 7 6 6 6 6 6 6 5 5 4 4 3 3 3 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 4 5 6 7 7 7 6 5 3 2 2 2 5 7 8 8 8 6 4 4 5 4 3 2 2 1 2 2 1 0 1 1 1 1 0 0 0 2 6 10 12 15 17 16 14 12 11 12 14 16 18 19 19 17 16 15 15 16 16 17 18 19 22 22 23 25 28 30 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 8 7 7 8 9 10 10 10 9 8 6 6 7 9 10 11 10 9 7 6 6 6 6 5 5 5 4 4 4 4 3 3 3 2 2 2 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 3 3 4 4 5 5 5 4 3 2 2 2 3 5 7 8 8 8 6 5 4 5 4 3 2 2 2 2 1 1 0 1 0 0 0 0 0 2 3 7 7 9 11 11 10 9 9 10 13 16 18 19 19 17 14 12 11 12 15 18 22 26 31 32 33 35 39 42 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 9 10 10 10 10 10 10 10 10 10 10 8 6 6 7 8 9 9 8 7 7 6 6 6 5 5 4 4 4 4 4 3 3 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 2 3 5 6 7 7 6 5 3 4 4 4 3 3 2 2 1 2 1 1 0 0 0 0 1 2 2 4 5 6 6 6 6 5 6 7 10 13 15 15 14 12 9 6 6 7 10 14 20 26 32 36 39 43 50 59 66
0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 9 9 9 9 10 11 13 14 15 15 13 10 9 7 6 7 8 8 9 9 8 7 7 6 6 6 6 5 4 3 4 4 4 3 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 3 4 5 5 5 5 3 2 3 4 4 4 4 3 2 2 1 1 1 1 0 0 0 1 2 3 5 4 4 3 2 2 3 5 7 10 12 12 10 8 5 4 4 4 5 7 12 19 26 33 40 48 60 72 84
0 0 0 0 0 0 0 0 0 0 1 3 7 11 11 10 8 8 9 10 10 11 14 16 17 14 11 10 8 7 7 8 8 9 9 9 8 7 6 6 6 5 6 5 5 4 4 4 3 3 2 2 1 1 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 3 4 4 4 4 3 3 3 2 2 2 1 1 1 1 1 1 2 4 6 4 3 1 0 0 1 2 3 5 6 7 7 6 4 3 3 3 3 4 6 10 16 25 38 52 66 81 95
0 0 0 0 0 0 0 0 1 3 5 8 12 13 11 9 8 9 9 10 10 11 14 16 14 12 10 9 8 7 7 7 8 8 8 8 7 6 6 6 6 4 5 6 5 4 4 4 3 3 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 6 8 8 6 5 4 4 4 4 3 3 2 3 2 2 2 1 1 0 2 4 5 4 2 1 0 0 0 0 0 1 2 2 2 3 3 3 3 3 2 3 3 4 7 16 31 47 64 81 97
0 0 0 0 0 0 0 1 2 5 9 12 12 10 9 9 10 10 10 10 10 12 15 14 12 10 9 9 8 6 6 6 7 7 8 8 7 6 6 6 6 6 6 6 5 5 4 4 3 2 2 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 7 14 20 22 22 22 17 12 7 4 4 4 4 4 2 3 3 4 3 1 0 0 1 2 2 2 1 2 1 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 4 10 20 33 50 68 86
0 0 0 0 0 0 1 3 4 6 9 10 8 8 8 9 10 10 10 10 10 13 14 12 10 9 9 8 7 6 5 5 6 8 8 8 7 7 7 7 7 7 7 6 6 5 4 4 3 2 2 1 2 2 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 3 4 3 2 1 0 0 0 0 0 0 0 0 2 12 29 42 46 43 40 36 31 22 12 6 5 4 4 4 3 3 4 4 3 1 0 0 0 0 1 1 1 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 5 8 18 30 46 66
0 0 0 0 0 1 3 4 5 6 7 7 7 7 8 9 9 10 10 10 10 11 10 10 9 9 9 8 7 6 5 5 6 8 9 8 8 7 7 7 7 7 7 6 6 5 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 2 0 0 0 0 0 0 2 8 23 42 55 58 52 46 43 42 39 31 20 15 11 6 3 4 4 4 4 4 3 1 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 8 12 19 34
0 0 0 0 1 3 5 6 6 7 7 8 7 7 8 8 8 9 10 10 10 10 10 10 10 10 10 9 7 6 5 5 6 8 8 8 8 7 6 6 6 6 6 6 6 5 4 3 3 3 2 2 0 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 4 2 1 0 0 0 0 3 15 53 73 71 57 41 31 27 30 36 35 30 24 17 11 7 4 3 4 4 4 3 2 1 0 0 0 0 2 4 6 7 3 2 2 3 2 1 1 1 1 0 0 0 1 1 1 1 1 1 2 3 3 3 4 11
0 0 0 1 2 5 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 7 6 5 6 6 7 7 7 6 5 4 4 5 4 5 6 5 5 4 4 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 3 3 3 3 3 4 4 3 3 3 4 4 5 5 5 5 4 4 2 1 0 0 0 3 16 45 62 64 50 29 16 10 10 17 23 26 26 26 18 14 10 6 4 4 3 2 2 1 1 1 1 1 3 6 10 12 11 12 13 13 13 10 8 7 6 5 4 4 3 2 2 2 2 1 1 1 2 2 1 3
0 0 0 1 3 7 7 8 7 6 5 6 6 8 10 10 10 10 10 9 9 9 9 10 10 10 10 9 7 6 6 6 6 7 7 6 5 4 4 4 4 4 4 5 5 5 4 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 3 2 2 3 3 3 3 3 3 4 4 5 6 6 5 5 5 4 4 3 2 1 0 0 12 32 52 65 52 31 14 4 1 3 6 10 16 23 21 18 16 13 7 3 2 2 2 2 2 2 2 2 4 10 14 14 16 18 22 23 22 19 16 16 17 20 20 14 9 6 4 3 2 1 1 2 2 2 1 1
0 0 0 1 3 6 6 6 4 3 3 3 4 5 8 9 10 10 10 9 9 8 9 9 10 10 10 9 8 7 6 6 6 7 7 6 5 5 4 4 4 4 4 5 6 5 4 4 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 5 5 5 4 4 3 2 2 2 8 22 44 67 59 42 23 7 1 0 0 1 3 9 15 20 20 14 7 2 2 2 2 2 2 3 4 4 6 11 13 10 8 9 8 10 12 11 11 14 19 26 28 21 15 10 8 6 4 3 3 2 2 2 2 1
0 0 0 1 2 4 5 4 2 2 2 3 4 4 4 6 8 9 9 9 8 8 8 9 9 10 10 9 8 7 7 6 6 6 6 6 5 5 5 4 4 4 5 5 6 5 5 4 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 6 6 6 6 6 5 5 5 5 4 4 4 4 6 14 38 58 61 51 32 13 4 1 0 0 0 2 6 10 9 7 4 2 2 2 2 1 2 2 3 4 4 4 3 2 1 1 1 1 1 1 3 6 10 12 14 12 10 8 6 6 6 5 6 5 4 4 4 3
0 1 2 2 4 5 6 5 3 3 3 4 4 4 4 5 6 7 8 8 7 6 7 7 8 9 9 9 9 8 7 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 9 28 49 59 53 35 20 10 3 1 0 0 1 2 2 1 0 0 0 1 1 1 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 6 5 4 4 4 5 6 8 8 8 7
1 2 3 5 5 6 7 7 6 6 6 5 4 4 5 5 6 8 9 8 7 7 7 8 8 8 9 9 9 8 8 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 4 4 4 6 7 7 7 6 6 5 5 5 5 4 4 3 3 3 4 7 20 37 50 48 38 26 16 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 7 4 4 3 2 2 4 6 9 11
3 4 4 4 4 5 7 8 8 8 8 8 6 6 6 7 8 10 10 9 8 8 9 9 9 9 10 10 9 9 8 7 6 5 5 5 5 4 4 4 5 5 6 6 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 5 6 7 8 8 7 5 5 5 5 4 4 4 3 3 3 6 16 31 43 43 37 28 19 9 4 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 9 6 4 3 1 0 0 2 5 11
5 6 5 5 4 5 6 8 8 9 9 8 7 7 8 9 10 10 10 9 9 10 10 10 9 10 10 10 10 9 8 8 7 5 5 5 5 5 4 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 5 6 7 7 7 6 5 5 5 5 4 4 3 3 3 7 16 31 40 42 36 24 19 12 7 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 6 5 2 1 0 1 3 7
4 6 6 6 6 6 6 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 7 8 8 7 6 5 5 5 5 4 4 4 3 3 8 18 35 43 43 35 23 20 16 10 2 4 5 5 4 4 3 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 3 6 8 8 8 6 5 3 1 1 2
3 4 6 7 8 7 6 7 8 8 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 6 6 6 6 7 6 5 5 5 5 6 5 4 3 2 2 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 8 9 9 8 7 6 6 5 5 5 4 4 4 3 3 4 7 15 35 43 40 28 23 21 18 9 4 3 4 4 5 5 4 4 2 1 1 0 0 1 2 2 2 2 2 1 1 0 0 1 1 2 2 2 2 1 1 0 0 1 2 4 6 7 8 8 7 6 3 1 0
2 3 6 8 8 8 8 8 8 8 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 6 5 5 6 7 7 6 5 5 5 5 5 5 4 3 2 1 1 1 1 2 2 3 3 3 4 4 4 5 7 5 4 4 5 4 4 3 3 3 7 9 10 9 7 6 6 6 5 5 4 4 3 3 3 4 4 16 29 36 34 25 21 21 24 14 9 6 4 3 3 3 3 4 4 4 4 0 0 2 3 4 4 4 2 1 1 0 0 1 2 3 4 4 2 1 0 0 0 2 2 2 2 4 6 6 7 6 4 3 2
2 2 6 8 8 8 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 6 5 4 5 6 6 5 5 5 5 5 5 5 4 3 2 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 5 6 4 4 4 6 6 8 10 12 12 9 7 6 6 5 5 4 4 3 3 3 4 7 15 27 37 33 27 23 22 26 20 15 9 6 4 2 2 1 2 3 5 10 3 2 2 3 4 5 5 4 2 1 0 0 1 2 3 4 3 2 1 0 0 0 1 1 0 1 3 5 7 7 6 6 6 4
2 2 4 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 6 5 4 4 5 5 5 5 5 5 5 5 5 4 3 1 1 1 1 1 1 2 2 3 3 4 4 4 4 3 4 5 7 5 4 5 10 15 14 13 12 13 13 10 7 6 6 5 5 4 4 4 4 4 5 11 23 38 48 41 33 28 27 27 27 23 12 8 5 3 2 1 1 1 2 9 8 6 4 3 3 4 5 4 2 1 0 0 1 2 3 3 4 3 2 1 0 1 2 1 0 0 2 5 7 7 6 6 8 6
1 2 3 4 4 5 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 2 1 0 0 1 1 1 2 2 3 3 3 3 3 4 5 7 10 10 7 6 7 11 14 15 15 14 12 10 8 7 6 6 5 4 4 4 3 4 4 5 12 26 44 48 44 37 33 34 36 36 28 15 10 6 4 3 3 3 2 2 6 8 9 8 4 3 3 4 4 3 1 0 0 1 2 3 3 4 4 3 2 1 1 1 1 0 0 1 4 5 6 8 8 8 5
1 2 2 3 3 3 5 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 7 6 5 5 6 6 6 5 5 5 5 5 5 4 4 2 1 1 0 1 1 1 2 3 3 4 3 3 4 7 11 14 16 15 14 12 12 13 14 15 15 14 12 11 11 11 8 6 5 5 5 4 3 4 4 4 11 26 40 44 42 38 35 35 36 37 28 19 13 9 8 10 12 10 8 5 6 8 8 9 6 4 2 3 3 2 0 0 0 1 2 2 3 3 3 3 3 2 1 1 0 0 0 0 2 3 4 6 5 4 2
1 2 3 3 4 4 5 6 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 2 1 1 0 1 1 1 2 3 3 4 4 4 8 12 16 17 17 18 18 18 17 12 10 13 15 14 13 12 12 12 10 8 6 6 6 5 3 4 4 4 7 18 28 35 36 35 32 32 33 35 36 36 34 24 26 28 28 22 19 15 13 14 13 11 9 7 3 2 2 2 1 1 1 3 4 3 2 2 3 2 2 1 1 1 0 0 0 0 0 0 1 1 1 0 0
1 3 5 5 5 5 6 7 8 8 8 9 9 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 2 1 1 1 1 1 2 2 3 3 3 4 4 4 6 9 10 12 12 12 16 15 11 8 8 13 13 13 12 12 11 10 10 8 8 6 5 3 3 3 3 5 12 20 27 29 29 30 32 38 38 42 46 43 42 40 36 31 26 22 17 16 14 10 8 7 7 4 2 2 2 3 5 8 7 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 5 7 7 7 6 6 6 8 8 9 9 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 2 2 2 1 2 2 2 2 3 3 2 3 4 4 3 3 4 4 4 3 5 7 8 6 6 10 13 12 11 11 11 10 9 8 8 7 6 5 4 3 3 4 9 16 21 26 30 35 44 49 50 51 50 48 44 38 28 21 16 12 10 8 5 2 1 3 4 4 5 4 5 6 9 10 8 5 3 2 3 3 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0
3 5 6 6 6 6 7 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 6 8 7 8 10 12 11 10 9 8 8 7 6 4 2 2 4 9 18 28 31 31 33 43 49 52 50 46 42 36 27 17 11 7 5 3 2 1 1 1 2 5 10 15 13 12 13 14 13 11 8 3 3 3 4 4 2 2 2 1 0 0 0 1 1 0 0 0 0 0 0
2 3 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 2 2 2 2 2 2 2 3 4 4 5 4 4 3 3 3 3 3 5 8 8 7 6 6 5 6 9 13 12 11 10 8 8 7 6 5 4 3 4 8 18 26 28 27 29 38 44 47 45 42 37 31 24 16 10 5 4 3 2 2 3 4 5 9 18 20 17 14 14 16 14 12 9 5 4 4 3 4 4 3 3 2 1 0 0 1 1 1 0 0 0 0 0
2 2 2 3 4 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 5 12 13 11 7 10 9 9 13 14 13 11 10 9 8 8 7 6 5 4 5 8 18 23 24 25 30 35 39 40 39 36 33 29 23 15 7 5 3 3 2 2 3 6 8 8 16 16 13 8 7 8 8 6 4 3 3 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0
2 1 1 3 5 6 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 2 2 1 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 9 13 18 18 19 16 14 15 14 13 12 10 9 8 7 6 5 4 4 4 8 15 21 23 24 27 31 34 33 32 31 30 27 23 16 8 6 5 4 5 7 10 12 11 10 10 9 7 4 2 2 2 1 1 0 0 1 3 5 6 3 2 2 2 0 0 0 0 0 0 0 0 0 0
1 1 1 2 4 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 3 3 3 2 2 1 1 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 4 5 8 17 18 18 18 17 16 14 12 11 9 8 7 6 6 4 3 3 5 10 16 20 22 22 24 26 27 28 28 28 27 25 23 19 13 9 9 10 11 12 13 12 12 10 8 5 4 2 1 0 0 0 0 0 0 0 2 5 5 3 2 1 0 0 0 1 2 2 2 1 0 0 0
0 1 1 2 3 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 4 5 11 14 16 16 16 14 13 12 11 9 8 6 6 5 4 3 3 6 11 17 21 22 23 23 25 26 26 26 24 23 22 21 19 16 15 14 14 13 12 12 12 12 11 9 5 3 1 0 0 0 0 0 0 0 0 1 3 3 2 1 1 0 0 0 1 2 4 4 2 2 1 0
0 1 2 2 2 4 5 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 4 3 6 8 10 14 12 11 10 9 8 7 6 6 6 5 4 3 3 6 11 18 20 22 23 24 25 26 25 24 22 22 21 20 17 16 16 14 14 13 12 12 13 13 12 10 6 3 2 1 1 0 0 0 0 0 0 0 1 2 1 0 0 0 1 1 2 3 4 5 4 3 3 3
0 1 2 3 2 3 3 4 4 5 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 7 7 6 6 6 6 7 7 7 6 6 6 6 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 3 3 4 5 8 8 7 6 6 7 8 8 7 7 6 4 3 3 7 13 17 19 21 22 24 26 26 24 23 22 22 22 21 18 16 15 14 14 13 12 13 13 13 11 8 4 2 1 1 0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 2 2 3 3 4 4 4 4 3