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 8 9 8 8 7 8 8 9 9 9 8 9 8 8 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 11 14 16 16 12 8 6 5 5 5 5 6 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 10 10 10 9 9 9 8 8 8 nan
nan 9 9 9 7 6 7 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 8 8 7 9 12 15 17 14 10 7 5 4 4 5 6 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 8 8 8 nan
nan 10 10 9 8 7 7 7 8 9 10 11 11 12 12 11 11 11 10 10 9 9 9 9 10 11 11 11 10 8 7 6 6 7 9 13 15 15 12 9 5 4 4 5 6 7 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 9 10 9 9 9 9 9 11 11 12 12 13 13 13 12 12 12 11 10 10 9 10 11 11 11 11 10 8 7 6 6 6 7 10 13 14 13 9 6 4 4 5 6 7 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 10 10 11 12 12 12 13 14 14 14 13 12 12 11 11 11 11 11 10 11 12 12 12 12 11 10 9 9 8 7 6 7 8 10 11 10 7 5 4 4 5 6 7 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 9 10 10 11 12 12 13 14 14 14 14 14 13 12 11 10 10 10 9 9 10 12 13 13 13 13 12 11 10 10 10 10 9 8 7 7 6 5 4 4 4 4 5 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 nan
nan 11 10 10 10 11 12 12 13 13 12 12 12 11 11 11 12 11 11 10 10 10 12 12 12 12 12 12 12 11 11 11 11 11 9 8 6 5 6 7 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 11 10 10 10 10 11 11 11 11 10 10 10 10 11 12 12 13 13 12 12 12 12 11 11 10 10 11 11 11 12 12 12 12 12 12 14 14 16 17 19 20 20 21 20 18 17 16 16 15 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 11 10 10 9 9 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 13 13 13 11 10 9 10 10 11 12 12 12 12 13 15 19 23 25 25 26 26 27 27 28 29 28 26 25 22 19 16 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 11 nan
nan 10 10 10 9 9 10 9 9 9 9 10 12 12 11 11 10 10 10 11 11 12 13 13 12 11 10 10 10 10 10 10 10 10 11 13 15 19 21 21 19 17 17 18 21 24 27 28 27 24 20 16 14 14 14 13 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 13 15 15 14 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 8 8 8 9 9 10 10 11 12 13 13 10 7 4 1 2 5 8 12 13 12 11 13 16 17 15 13 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 12 12 13 13 12 13 15 17 18 18 16 13 12 12 12 11 11 10 10 9 8 8 9 9 10 9 8 8 8 9 10 10 11 11 11 11 11 11 10 7 2 -2 -4 -5 -4 -4 -1 2 7 12 13 11 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 12 12 13 13 14 16 17 18 17 14 12 12 11 11 11 10 9 8 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 11 11 13 15 18 19 18 13 9 6 4 2 5 8 10 11 9 10 11 12 12 12 12 11 11 11 11 11 11 12 14 15 14 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 12 12 13 14 14 14 13 11 10 9 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 9 10 11 11 11 12 14 18 21 25 27 27 25 24 25 26 27 26 23 20 20 20 21 20 18 17 15 14 13 12 14 16 21 23 21 18 16 15 14 14 14 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 10 10 11 11 11 10 8 7 5 5 5 5 5 5 6 7 8 8 8 8 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 11 11 13 16 20 25 29 30 31 33 34 35 34 30 30 29 29 29 29 28 25 22 20 19 18 19 23 26 26 23 19 16 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 nan
nan 10 9 9 8 8 8 7 7 5 5 4 4 4 5 5 6 7 8 9 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 11 11 12 12 11 12 13 14 17 19 22 23 24 24 24 23 22 22 23 25 27 29 30 29 28 28 28 27 26 24 21 19 18 17 18 17 16 16 15 14 14 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 8 7 7 7 6 6 5 4 5 5 5 5 6 7 8 9 9 10 11 11 11 12 11 11 11 11 11 11 10 11 12 13 13 14 13 13 13 14 14 13 13 13 12 12 13 13 13 13 13 11 11 11 12 13 15 17 19 21 23 26 29 31 31 28 24 20 17 19 22 24 24 22 20 17 14 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 6 6 6 6 6 5 5 5 6 6 5 6 7 9 10 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 12 13 14 16 17 16 16 16 15 14 13 12 10 10 9 9 9 9 8 7 7 8 8 9 10 10 11 12 15 19 21 23 24 26 26 24 22 21 22 22 21 19 17 14 12 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 6 6 5 5 5 5 5 6 7 6 6 7 9 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 12 14 16 17 18 18 16 14 13 11 9 7 7 7 7 8 8 8 7 7 8 8 9 9 10 10 10 12 13 13 14 16 19 21 21 17 12 7 4 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 nan
nan 6 5 4 3 3 4 6 7 8 9 10 12 13 13 11 9 10 11 12 12 12 11 10 10 10 10 10 11 11 10 10 11 13 14 15 16 15 13 11 10 8 6 6 5 5 6 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 12 13 13 12 6 0 -4 -6 -4 -1 1 4 7 8 8 8 8 8 9 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 5 4 3 4 5 6 7 9 10 12 14 16 15 13 11 10 11 12 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 12 10 9 8 6 6 5 5 5 7 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 8 4 -0 -3 -3 -0 2 3 5 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 nan
nan 5 5 7 9 10 10 10 11 13 14 15 14 13 12 11 12 13 12 11 10 9 8 8 9 9 8 7 6 6 7 8 8 8 8 9 10 9 8 9 8 7 6 6 6 7 8 9 10 11 12 11 11 10 10 10 10 11 11 11 11 10 9 8 6 2 -3 -4 -3 0 5 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 9 11 12 11 10 11 12 13 13 11 11 11 12 13 13 12 11 9 7 6 6 7 7 6 5 4 4 5 6 6 7 7 7 8 7 7 8 8 8 8 8 8 8 9 9 10 11 13 12 11 11 11 10 10 10 10 11 11 11 10 9 5 0 -5 -7 -6 -2 3 6 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 nan
nan 9 10 10 9 7 7 9 11 12 10 8 8 10 11 11 11 10 8 7 6 6 6 7 6 5 6 6 8 9 8 8 8 8 8 7 6 6 7 7 8 9 9 9 10 10 10 10 12 12 12 11 10 10 10 10 10 10 11 11 11 11 10 6 1 -2 -1 1 5 7 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 nan
nan 8 8 7 7 7 9 11 13 11 9 8 8 9 8 8 6 5 5 6 8 10 10 10 8 9 10 12 13 13 12 11 10 8 7 6 6 7 7 8 9 10 10 10 10 10 10 11 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 nan
nan 7 8 8 9 12 15 16 15 12 10 9 9 9 8 6 4 4 5 9 12 13 12 10 9 10 11 12 12 12 12 11 9 7 6 6 7 8 9 10 11 11 11 11 11 10 10 11 11 11 12 12 11 10 10 9 10 10 10 11 11 12 13 15 19 22 20 17 14 12 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 nan
nan 8 9 10 13 15 16 16 13 11 10 10 9 9 8 7 6 7 10 13 14 12 9 8 8 9 9 9 9 10 10 8 6 5 6 7 9 10 11 12 13 13 12 12 11 10 11 11 11 12 12 12 11 11 10 9 10 10 10 11 12 12 13 16 18 18 16 13 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 nan
nan 8 10 12 14 14 13 11 9 8 8 8 8 8 8 8 8 10 12 12 11 8 6 7 9 9 9 9 9 9 8 7 6 7 9 11 12 13 13 14 14 13 13 12 11 10 10 10 10 11 11 11 11 10 9 10 10 10 10 11 12 12 13 14 13 10 8 6 6 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 14 nan
nan 9 12 13 14 12 10 7 6 6 6 7 7 8 9 9 10 12 12 11 9 7 8 9 10 11 11 11 11 10 9 9 11 12 14 14 13 14 14 14 14 13 12 11 10 9 9 8 9 10 10 11 11 10 9 10 10 10 11 11 11 12 12 12 10 9 9 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 nan
nan 11 13 14 14 11 7 5 5 5 5 6 8 9 10 10 12 13 13 13 11 11 11 12 12 12 13 14 14 14 14 15 16 16 16 15 14 13 13 13 13 13 12 10 9 8 7 7 8 9 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 13 15 15 14 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 nan
nan 12 12 10 8 4 1 0 1 3 5 6 8 10 11 11 13 15 16 16 16 16 16 15 15 15 16 16 17 17 17 16 16 16 15 14 13 12 12 12 13 13 12 10 9 7 7 8 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 13 16 18 19 17 15 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 4 0 -4 -7 -7 -5 -2 -1 1 3 6 8 10 12 15 17 17 18 18 18 18 18 17 17 17 17 16 15 14 12 12 12 12 12 12 11 11 12 12 12 11 10 8 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 11 13 15 17 19 19 17 15 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 nan
nan -2 -5 -8 -9 -9 -6 -3 -1 -1 -1 -0 2 6 8 11 12 14 15 16 17 17 17 16 16 16 16 15 13 12 10 9 9 10 10 11 11 10 11 11 12 11 11 10 9 8 9 9 9 10 10 10 10 9 9 10 10 10 11 10 10 10 10 11 11 12 15 18 20 19 17 15 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 nan
nan -4 -6 -5 -3 0 3 5 5 4 4 3 4 6 6 6 7 8 12 15 16 14 13 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 18 20 20 19 17 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 13 17 20 nan
nan 2 3 5 7 9 10 11 11 11 11 10 10 8 7 6 7 11 16 17 16 12 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 10 10 10 10 11 11 10 11 10 10 11 11 11 11 11 11 12 12 13 14 16 18 20 20 18 16 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 12 16 22 29 34 nan
nan 9 10 11 12 12 13 13 14 15 15 14 12 10 9 10 14 19 21 19 14 10 9 8 9 10 10 10 10 10 10 10 10 9 9 9 10 9 10 10 11 12 13 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 14 14 14 17 19 21 20 19 18 18 17 15 14 13 12 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 12 16 21 26 29 32 33 nan
nan 14 14 14 14 15 17 18 20 21 19 16 13 11 11 13 18 20 20 16 11 9 8 7 9 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 13 12 11 10 10 10 10 10 10 11 11 10 10 10 11 11 11 12 12 13 13 14 14 13 13 15 17 19 22 24 26 26 24 22 20 18 17 17 15 14 13 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 12 12 12 12 15 21 27 29 29 25 21 nan
nan 17 17 18 20 23 25 26 26 25 20 15 12 11 11 14 17 19 19 16 13 11 9 10 11 12 11 11 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 12 13 13 13 12 12 13 14 17 22 26 29 29 28 28 28 28 26 22 19 16 14 14 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 15 18 21 22 20 17 14 nan
nan 16 18 21 24 27 27 26 25 22 17 13 11 11 13 16 21 24 23 20 17 14 13 13 13 12 11 10 10 10 10 11 11 11 10 10 9 10 10 10 10 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 11 11 12 12 12 12 11 11 11 14 17 20 21 22 24 26 29 31 29 25 21 17 15 14 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 11 11 12 13 14 13 13 12 nan
nan 13 15 18 21 21 20 19 19 16 14 13 13 15 19 24 27 28 24 21 18 16 15 13 12 10 10 9 9 10 10 10 10 10 10 9 9 10 9 9 9 9 9 10 11 12 12 11 11 10 10 10 9 9 10 10 11 12 12 11 10 10 10 10 10 11 11 11 11 11 12 13 13 13 15 17 19 21 23 24 23 21 18 16 14 15 17 18 18 18 17 16 15 15 15 15 14 14 14 14 14 13 13 12 11 9 8 9 10 12 12 12 nan
nan 11 13 15 16 15 14 14 14 14 14 14 16 18 22 26 26 24 20 18 16 15 13 11 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 9 8 9 10 12 12 12 11 11 10 9 9 9 10 10 11 12 13 12 11 10 9 9 9 10 11 11 12 12 12 12 12 11 11 12 12 13 14 15 17 18 20 21 21 23 25 26 27 27 24 21 18 16 16 16 15 15 14 14 14 14 13 13 13 11 8 6 6 9 12 13 13 nan
nan 13 15 16 16 15 15 15 14 14 14 14 15 17 19 20 19 16 14 14 14 13 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 12 12 11 10 9 9 9 10 10 11 12 13 12 12 11 10 9 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 16 19 24 28 33 34 34 33 31 28 24 22 21 20 19 17 16 15 15 15 14 14 14 13 10 6 2 1 4 10 13 14 nan
nan 16 17 17 16 15 15 15 15 14 14 13 14 15 15 15 14 12 12 12 11 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 9 9 10 11 12 12 12 12 11 11 10 9 8 9 10 11 12 12 11 11 12 12 12 13 13 13 13 13 12 11 14 18 22 26 28 29 29 27 27 27 28 29 30 29 27 24 21 19 18 16 16 15 15 14 12 7 1 -2 -1 4 9 12 nan
nan 16 15 15 14 14 14 14 13 13 12 12 13 14 14 13 12 11 10 10 9 8 8 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 11 12 12 11 9 9 9 10 10 11 11 11 12 12 11 11 10 10 9 10 11 11 11 11 11 11 12 13 13 13 13 14 13 12 11 11 12 14 16 17 17 17 17 18 21 25 30 33 34 34 34 32 29 26 23 20 19 18 17 17 16 13 6 -1 -4 -3 3 8 nan
nan 13 12 12 11 11 12 11 11 10 10 11 11 12 12 11 10 10 9 9 9 10 11 12 11 11 10 10 10 10 10 10 10 9 8 8 7 8 8 7 7 6 5 7 8 10 10 9 8 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 13 16 19 22 25 27 29 31 33 33 32 30 27 24 22 20 19 19 17 12 4 -3 -6 -4 1 nan
nan 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 12 11 11 11 12 12 12 11 10 9 8 6 5 4 5 5 6 6 5 4 4 5 6 7 7 7 8 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 15 16 19 22 26 30 32 33 30 27 23 21 20 19 18 16 10 1 -5 -9 -9 nan
nan 11 10 10 10 10 9 8 8 9 9 10 10 10 10 9 8 8 8 9 10 10 10 9 9 10 12 12 11 10 8 7 6 4 4 3 4 4 5 4 3 3 4 6 6 6 7 8 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 15 18 21 24 26 25 24 23 22 21 19 19 17 14 8 0 -7 -12 nan
nan 10 10 10 10 9 9 8 9 9 10 10 10 10 10 9 8 8 9 9 9 8 8 8 9 11 11 10 8 7 6 6 6 6 6 7 6 5 4 3 2 3 5 7 8 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 15 16 18 21 24 27 28 28 27 25 23 20 16 11 5 -1 nan
nan 9 9 9 10 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 11 12 11 9 8 7 8 9 9 10 10 10 9 6 5 4 4 6 7 9 11 12 13 13 12 11 11 11 11 11 10 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 13 13 13 13 13 13 15 17 23 28 32 33 35 35 34 32 30 28 25 21 15 nan
nan 8 9 10 10 10 10 10 10 10 11 11 10 10 9 8 7 7 8 9 10 11 12 13 14 14 12 11 10 10 10 11 11 12 12 12 11 10 9 9 10 10 11 12 12 13 12 11 10 10 10 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 13 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 13 15 17 21 24 27 28 29 32 34 36 37 37 37 35 32 nan
nan 8 9 10 10 10 10 11 11 11 11 10 9 8 7 7 8 9 11 13 14 15 15 16 15 14 13 13 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 13 11 10 10 10 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 12 12 12 13 12 12 12 13 13 13 14 13 13 12 12 12 12 12 12 12 12 13 14 15 15 16 17 19 20 24 29 34 36 38 39 40 nan
nan 9 10 10 10 10 10 11 11 11 10 9 8 7 7 9 11 14 16 17 17 17 17 16 15 14 13 13 13 13 13 14 14 14 14 15 15 15 16 16 16 16 16 15 15 14 12 11 10 9 9 8 9 9 9 10 11 12 12 11 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 15 17 21 24 27 30 35 nan
nan 10 10 10 10 10 10 11 11 10 9 8 8 9 12 14 16 17 18 17 16 16 15 15 14 14 14 14 14 14 15 16 16 16 17 17 17 17 16 16 16 16 15 15 15 14 13 12 10 7 6 5 6 8 9 11 13 13 12 11 11 10 10 10 10 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 10 11 11 12 13 14 14 13 13 13 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 14 16 19 23 nan
nan 9 9 9 10 10 11 11 11 10 10 10 12 15 17 17 17 16 15 14 13 13 13 13 13 13 13 14 14 15 16 17 17 17 18 18 18 18 17 17 16 15 15 15 14 14 13 12 10 8 7 6 7 8 9 10 11 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 14 15 14 14 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 14 nan
nan 9 9 9 10 11 12 12 11 11 12 14 15 17 16 15 13 12 11 11 10 11 11 11 11 11 12 13 14 14 15 15 15 15 16 16 17 18 18 18 17 16 15 14 14 14 14 14 13 12 11 10 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 13 14 15 15 15 14 13 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 13 13 13 13 13 12 nan
nan 9 9 10 11 12 12 12 12 12 14 15 15 14 13 11 11 10 10 10 11 11 10 10 10 10 10 11 12 12 12 12 12 12 13 14 15 16 17 17 16 16 15 15 15 15 15 16 15 15 14 13 11 9 8 8 8 9 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 14 14 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 13 13 13 nan
nan 10 11 11 11 11 11 11 12 12 13 13 12 12 11 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 14 15 15 15 16 17 17 17 16 15 14 13 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 11 11 11 12 12 12 12 12 12 12 11 10 9 9 9 10 11 12 12 12 12 12 12 12 12 13 13 13 13 14 14 15 15 15 15 14 14 14 14 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 13 14 15 16 17 18 18 17 17 16 14 14 13 13 13 13 12 11 11 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 10 9 7 7 8 10 11 12 13 13 13 12 12 12 12 13 13 13 13 14 14 15 15 15 15 15 15 15 15 14 14 nan
nan 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 10 10 10 11 12 14 16 16 17 17 17 17 17 17 16 15 14 14 14 14 12 11 10 10 10 11 10 10 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 9 10 11 12 12 13 12 12 11 11 12 12 13 13 13 14 14 15 15 15 15 15 15 15 15 15 15 14 nan
nan 11 11 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 10 11 10 10 10 10 9 10 10 10 10 11 12 13 14 14 14 15 16 17 17 17 16 15 14 13 12 12 11 11 11 11 10 9 8 8 9 11 12 12 12 11 11 11 11 11 11 12 11 11 12 12 11 11 11 11 11 12 12 12 12 12 11 10 9 10 12 13 13 13 14 14 15 15 15 15 15 15 15 15 15 14 14 14 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 12 12 13 15 16 16 16 15 13 13 12 11 10 11 12 12 12 11 9 8 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 9 9 10 12 14 14 13 13 13 14 15 15 15 15 15 15 15 15 14 13 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 13 14 13 13 13 14 14 13 12 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 10 9 10 13 15 16 15 13 12 12 13 14 14 14 15 15 15 15 15 14 13 13 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 12 13 15 17 16 15 14 14 15 14 15 15 15 16 15 13 11 10 11 11 10 10 10 10 9 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 9 10 12 15 16 15 13 12 11 12 13 14 14 14 15 15 15 15 15 14 14 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 13 15 16 16 16 17 18 18 19 19 19 20 20 20 17 13 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 10 12 14 15 14 13 12 11 11 12 13 13 14 14 15 15 15 15 15 14 14 14 14 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 11 11 12 11 11 11 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 13 13 13 14 16 17 18 20 21 22 23 25 26 22 17 14 12 10 9 9 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 12 14 14 14 13 12 12 12 12 12 12 13 13 14 14 14 15 15 14 14 15 15 15 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 13 14 14 16 19 21 23 25 26 25 22 19 14 10 8 7 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 15 14 14 13 12 12 12 12 13 13 13 13 14 14 14 14 14 15 15 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 0 0 5 26 45 54 58 57 57 54 51 48 45 51 57 61 63 66 71 77 81 85 90 94 98 102 105 108 112 116 119 120 121 124 128 130 130 130 131 131 133 132 129 126 127 120 119 117 116 119 126 130 132 133 132 142 149 158 166 172 183 197 208 218 224 225 225 226 226 228 232 234 232 228 223 221 213 205 197 191 190
0 0 0 0 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 1 0 9 23 35 46 49 51 51 51 50 46 51 57 62 68 71 77 82 86 88 91 95 100 104 107 111 117 122 124 125 125 127 129 130 130 130 131 131 130 130 130 132 131 127 120 112 107 111 118 123 124 124 122 131 144 160 174 178 186 193 202 215 223 226 228 229 228 227 226 225 222 218 217 211 204 197 191 190 193
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3 2 2 2 1 4 5 6 6 4 2 2 2 1 0 2 5 9 11 11 10 8 5 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 2 2 3 6 8 12 16 21 30 41 50 56 65 72 77 79 81 84 91 96 100 103 105 106 105 105 105 112 109 110 113 112 101 97 100 103 106 104 107 109 110 110 106 105 103 101 101 101 94 87 80 76 73 69 66 64 63 63 63 69 76 85 97 108 118 125 129 132 140
6 6 7 9 10 14 18 20 20 19 11 7 6 3 1 3 7 12 15 17 16 14 10 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 17 31 46 55 58 64 71 76 79 80 83 86 88 89 87 88 90 90 90 89 91 91 92 94 97 90 87 88 89 93 94 96 99 101 100 98 98 98 98 98 93 87 82 78 74 72 70 68 67 65 63 65 70 78 87 98 108 117 124 130 137 146
11 14 19 23 25 28 31 33 35 35 30 23 14 6 4 5 7 8 9 11 13 13 11 10 9 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 6 6 7 5 9 22 40 52 52 54 59 62 65 69 72 74 74 75 75 74 73 72 71 71 73 76 77 77 77 79 76 74 73 74 77 78 80 83 86 89 90 91 92 93 93 91 88 83 80 78 77 75 73 72 70 67 66 67 72 79 87 98 108 114 122 133 147 161
24 28 33 37 38 39 38 37 45 48 45 37 25 14 10 8 7 5 4 5 9 12 12 12 12 11 8 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 16 22 23 33 44 57 63 46 54 58 59 59 59 60 60 59 60 59 58 56 56 57 57 59 61 57 51 55 55 56 57 57 59 62 65 67 71 75 79 81 83 86 89 89 87 84 82 81 82 83 83 80 75 71 70 70 72 75 80 87 96 108 116 127 139 154 174
40 43 45 47 49 50 49 50 55 58 55 46 33 23 17 14 10 8 7 7 8 11 13 14 14 12 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 17 26 34 44 54 57 59 59 56 53 50 49 48 46 45 46 45 44 43 44 47 46 45 43 39 36 37 38 41 44 46 48 50 55 61 65 69 73 76 78 82 85 85 83 81 81 84 87 88 88 84 80 77 76 78 81 84 88 96 107 119 134 149 161 170 188
47 48 50 53 56 59 63 65 63 58 48 38 29 22 18 16 15 14 13 11 10 10 11 12 13 13 11 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 15 24 27 28 33 37 40 39 39 36 34 34 33 33 34 35 35 34 30 30 30 28 25 25 28 30 33 37 41 44 48 53 58 62 66 70 74 76 79 82 83 83 85 87 91 94 95 92 88 87 88 87 88 95 101 108 119 130 141 155 168 177 187 200
51 51 53 56 58 60 59 55 48 37 27 19 15 12 10 11 11 12 12 10 8 7 6 8 10 11 10 9 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 4 6 9 13 13 13 17 21 20 22 25 26 27 28 23 13 13 19 20 20 22 24 26 30 34 37 40 44 49 54 59 63 67 69 74 79 84 88 90 93 95 98 102 106 111 108 106 111 111 113 121 130 135 145 155 166 177 187 191 196 204
58 57 58 58 53 46 37 26 15 11 9 6 5 4 4 6 8 9 9 8 7 6 6 6 8 10 9 7 4 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 0 1 6 11 13 11 10 16 18 13 11 16 16 17 19 21 23 27 30 33 37 44 50 55 60 66 70 73 78 84 90 94 97 100 105 112 118 125 137 145 142 146 143 141 145 152 157 163 171 181 190 194 192 193 198
65 61 55 47 35 25 16 10 5 2 3 3 3 4 4 6 7 8 9 8 8 9 9 9 12 13 11 7 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 3 3 1 4 7 10 11 9 8 9 11 14 15 20 25 30 35 42 49 55 62 68 73 77 82 88 94 101 105 105 109 122 134 144 150 157 169 177 184 176 163 160 164 166 167 170 175 184 189 188 185 185
61 51 40 29 18 12 7 4 3 2 2 4 5 6 7 8 9 11 13 12 14 16 17 18 20 19 16 11 7 6 6 6 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 3 7 11 14 22 30 36 43 52 57 62 69 77 82 85 89 97 108 117 124 132 142 148 158 169 177 182 190 198 198 188 173 171 172 168 162 160 160 162 166 171 168 162
42 32 24 17 12 8 6 4 3 3 4 6 8 10 11 12 12 15 18 21 24 25 26 27 27 25 21 15 13 13 13 13 12 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 3 7 13 19 22 26 32 38 44 50 57 62 67 73 81 85 91 102 113 122 129 136 144 152 161 172 182 188 193 199 201 197 185 174 170 168 164 157 153 152 153 154 153 151 146
22 17 13 11 9 7 6 5 5 6 7 7 9 12 13 14 17 20 25 30 33 33 33 32 30 27 25 23 22 22 23 24 24 23 19 14 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 6 11 15 19 25 31 37 43 49 54 59 65 69 77 86 97 108 114 118 125 130 136 144 154 163 172 180 188 187 190 194 190 177 169 166 160 155 152 147 142 140 138 139 140 138
13 10 9 9 9 9 8 7 7 7 8 8 9 14 18 19 22 26 31 37 41 41 40 37 34 32 31 31 31 31 32 32 31 29 25 21 14 9 5 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 16 21 26 32 38 44 50 55 60 66 76 84 90 98 105 110 115 120 125 129 138 147 155 161 171 182 184 178 179 177 167 157 150 146 143 142 139 133 128 127 130 132 130
12 9 9 9 9 10 9 8 8 9 10 12 14 18 23 26 30 34 39 44 47 46 45 43 42 40 38 38 37 37 36 34 32 29 26 24 18 12 6 2 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 7 12 15 17 22 28 32 37 43 48 53 58 68 78 85 89 93 97 103 110 116 120 126 135 143 148 156 169 178 175 166 163 161 156 149 144 137 133 132 131 128 125 123 123 125 122
12 9 7 7 8 11 10 10 11 13 15 17 21 25 30 34 39 42 46 49 49 48 47 47 44 43 42 40 39 39 37 35 32 29 25 22 18 12 5 1 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 11 13 14 17 21 25 27 31 35 40 45 51 62 72 79 85 90 95 100 108 117 119 128 138 143 146 157 168 171 160 153 149 147 142 138 136 132 129 128 128 125 123 122 121 118 116
10 7 6 6 7 9 12 14 17 19 20 23 28 33 37 39 42 45 47 47 45 43 42 42 40 39 38 37 36 35 35 34 31 27 23 19 14 9 3 1 0 0 0 1 4 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 12 13 15 15 17 19 21 24 29 34 40 45 54 66 75 83 90 95 100 108 115 119 126 136 141 144 152 158 152 137 134 135 134 129 128 128 127 126 124 123 123 122 121 118 115 113
8 7 6 5 6 10 16 21 24 25 27 30 35 39 41 43 44 45 44 42 38 34 32 32 32 32 32 32 30 29 30 29 26 23 19 15 12 5 2 0 0 0 0 2 5 7 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 9 10 11 13 16 18 22 27 34 40 45 54 68 75 84 93 98 102 108 111 115 123 132 135 137 139 139 126 120 118 117 117 117 117 117 117 117 116 115 116 118 118 116 114 113
9 9 8 6 8 13 20 27 30 31 32 35 39 42 42 42 42 42 39 36 33 30 28 27 28 29 30 29 28 27 26 25 22 19 16 12 9 3 1 0 0 0 1 4 7 9 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 8 12 15 19 23 28 34 39 46 60 70 77 84 90 94 100 105 108 112 116 122 124 124 126 123 113 104 98 97 97 97 98 100 102 103 103 104 107 110 113 114 112 111
10 12 8 6 8 13 20 26 29 30 31 31 31 33 34 35 36 37 34 32 30 29 28 29 29 30 29 29 29 27 23 20 16 14 12 9 5 2 1 0 0 0 1 4 7 10 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 13 16 20 24 29 34 39 45 59 67 72 78 81 85 90 95 98 101 101 103 106 107 105 104 99 88 83 82 83 85 86 88 88 90 92 94 97 102 107 111 112 110
7 10 7 4 6 10 17 23 26 27 27 26 25 24 25 27 29 30 30 30 30 31 31 31 31 31 29 27 26 23 19 14 11 9 8 5 3 1 0 0 0 1 1 3 6 8 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 14 17 20 23 28 32 36 39 46 51 55 60 66 69 73 79 82 85 88 90 91 93 93 92 88 80 77 76 77 79 80 82 83 84 88 90 92 96 101 106 109 110
3 4 5 6 9 13 18 22 24 24 22 21 20 20 20 22 24 26 27 28 30 32 31 30 29 27 25 23 21 18 14 11 9 7 5 3 2 1 1 0 1 1 1 2 3 5 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 13 16 19 22 26 29 33 36 38 41 42 44 48 52 57 65 71 75 78 80 83 85 87 87 84 79 76 76 76 77 77 77 77 79 84 87 88 90 94 99 103 105
3 6 10 13 16 21 24 26 26 24 21 19 17 17 17 19 21 23 25 27 25 24 24 22 20 18 17 16 15 14 13 13 12 10 7 6 5 4 2 1 1 1 0 1 2 4 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 12 15 18 21 24 26 30 33 35 37 39 41 43 45 48 50 54 63 69 72 75 78 82 85 85 83 80 78 73 74 76 76 75 75 77 79 80 84 86 90 95 100
10 16 21 23 25 28 32 32 28 23 19 17 17 18 19 21 22 22 21 20 18 17 17 14 12 11 11 12 15 17 19 19 17 13 10 8 6 5 2 1 0 0 0 1 2 4 7 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 12 14 17 20 22 25 28 31 34 36 38 40 42 44 45 46 47 51 54 59 65 70 75 78 80 81 81 80 79 79 78 75 73 72 71 72 76 80 81 81 83 87
30 33 35 34 35 39 45 45 34 27 20 20 26 27 28 26 22 19 17 16 16 15 15 15 14 15 17 19 19 21 22 21 18 13 9 6 4 3 2 1 0 0 0 1 2 3 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 13 15 18 21 24 27 30 34 37 39 41 42 44 44 45 45 45 47 52 58 64 68 71 73 74 74 76 77 76 75 71 69 69 67 68 71 73 72 71 73 78
52 45 44 43 41 40 37 32 30 30 30 34 43 39 38 31 20 16 16 16 16 17 18 19 20 21 22 22 21 20 19 16 14 11 8 6 4 3 1 1 0 0 0 0 1 3 4 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 14 18 22 25 29 32 35 37 39 41 42 43 43 43 44 43 44 47 54 58 61 64 66 69 70 72 72 73 72 71 70 68 64 63 64 66 71 78 79 78
60 51 46 38 31 26 22 20 21 23 25 27 28 31 32 31 27 25 20 17 17 19 20 21 22 22 19 19 19 17 16 13 11 9 8 6 5 3 2 1 1 0 0 0 0 1 2 5 6 5 4 1 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 13 18 23 27 30 32 34 36 37 37 38 38 38 39 39 39 39 40 48 52 55 57 60 64 66 68 70 71 72 72 73 72 68 65 64 69 71 72 70 66
42 34 26 20 16 14 14 15 17 18 18 19 18 18 19 21 27 27 22 16 16 17 19 20 19 18 16 16 15 14 13 11 10 10 10 8 6 4 2 1 1 0 0 0 0 0 2 5 7 8 5 2 1 2 3 4 3 3 1 0 0 0 1 0 0 0 0 0 0 0 1 3 8 13 18 23 26 28 28 30 30 30 31 31 32 32 32 32 32 32 37 42 45 48 51 55 59 62 65 68 69 70 71 73 74 75 75 74 71 65 53 39 36
25 19 14 11 10 10 10 11 11 11 11 11 10 11 13 15 21 27 24 14 14 16 17 18 16 14 13 13 13 13 12 10 9 9 11 9 6 4 2 0 0 0 0 0 0 1 3 6 9 9 6 3 1 2 3 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 2 6 11 16 18 20 21 21 22 23 23 24 24 24 24 24 24 25 25 30 35 40 44 47 50 53 57 61 63 65 67 67 70 72 73 72 64 58 55 46 34 28
10 8 7 6 5 7 6 6 5 5 4 4 5 7 10 13 17 18 16 12 12 14 15 15 14 13 12 12 11 11 11 9 9 9 10 8 6 4 2 1 0 0 0 0 0 1 3 6 9 8 5 2 2 2 3 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 2 5 8 7 8 11 13 15 15 16 16 17 18 18 18 19 19 20 21 22 26 32 37 40 43 47 50 54 57 61 62 63 65 69 69 66 53 41 36 31 28 26
2 2 2 2 3 4 3 2 2 2 0 1 3 6 10 11 14 15 14 12 9 10 12 12 10 9 10 11 11 11 10 9 8 7 7 7 6 4 3 1 1 0 0 0 0 0 3 6 8 7 5 4 3 3 4 4 5 5 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 8 9 10 11 12 13 15 16 16 17 18 19 24 28 31 34 38 41 43 47 49 52 54 57 59 57 54 45 32 27 26 25 23
0 0 0 0 0 0 0 0 1 1 0 0 2 4 7 9 10 9 7 4 4 6 9 10 9 9 10 11 11 10 9 8 7 7 6 6 5 5 4 2 1 0 0 0 0 0 4 7 8 8 6 5 4 4 4 5 5 6 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 8 10 11 12 13 14 14 14 16 19 21 22 24 25 28 31 34 37 39 43 49 51 48 42 30 24 23 22 20
0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 4 1 1 2 4 7 9 10 11 12 12 11 10 8 7 7 6 6 5 5 5 5 3 1 0 0 0 0 1 4 7 8 7 6 5 5 4 4 5 5 6 6 6 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 8 9 10 10 9 9 9 10 10 11 13 14 16 18 21 23 26 28 32 35 37 30 22 19 18 18 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 3 6 8 10 11 11 11 10 9 7 6 5 5 4 4 4 4 4 3 2 0 0 0 0 1 3 5 7 6 5 5 4 4 3 3 3 4 4 5 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 4 3 3 3 4 5 4 5 7 10 10 11 13 15 17 19 22 25 28 23 18 16 15 14 14
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5 5 4 3 3 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 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 1 7 9 10 10 12 15 18 21 23 24 28 32 35 40
7 6 5 4 3 2 2 3 2 2 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 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 3 5 6 7 13 16 19 24 26 31
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5 6 4 3 2 2 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 10
5 4 4 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 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
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7 6 5 5 4 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 5 4 3 2 1 2 2 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 6 4 3 3 2 2 2 2 2 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 4 3 2 3 3 3 3 2 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 3 3 3 2 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 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
5 4 4 3 4 3 3 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 3 3 3 2 2 2 2 1 2 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 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
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