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 9 9 9 9 9 9 9 9 9 8 6 6 5 5 6 6 6 5 5 6 7 9 10 11 11 11 10 9 8 8 8 9 10 11 13 13 11 9 8 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 nan
nan 9 10 10 9 8 8 8 8 8 8 7 6 6 6 7 8 8 8 7 7 8 9 9 10 10 10 9 8 8 8 7 7 9 11 12 13 12 11 9 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 nan
nan 10 10 10 9 8 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 7 6 6 8 9 11 12 12 11 9 7 7 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 10 10 9 9 7 7 7 8 9 10 10 10 10 10 10 10 10 11 12 11 10 8 8 9 9 9 9 8 7 7 6 6 6 8 10 11 10 8 6 6 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 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 10 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 10 9 9 9 11 12 13 13 12 11 11 11 11 11 12 12 11 9 8 10 10 10 9 8 8 9 8 7 6 6 7 9 9 7 5 5 6 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 9 8 8 9 10 10 11 12 13 14 14 13 12 12 12 11 11 11 10 9 9 9 10 11 11 11 10 9 10 10 9 9 9 9 9 8 6 4 4 5 7 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 9 8 7 7 8 9 10 11 12 12 11 11 11 11 12 12 12 11 10 9 8 9 10 10 11 12 12 12 11 11 12 12 12 12 10 8 6 6 7 8 10 11 12 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 7 7 7 8 9 9 10 10 9 9 8 9 10 11 12 12 13 12 12 11 10 9 10 10 11 12 12 13 14 14 14 14 13 12 11 11 13 14 16 17 17 17 16 14 13 13 13 13 12 11 11 11 10 10 9 9 9 9 9 9 9 9 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 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 10 10 10 10 nan
nan 7 7 7 8 8 9 9 9 9 8 7 8 8 9 9 10 11 13 13 13 12 12 12 11 11 10 10 11 13 15 15 14 12 12 13 14 16 18 19 19 20 20 20 20 21 20 20 19 18 16 13 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 nan
nan 7 7 8 8 8 9 9 8 7 7 7 9 9 9 9 9 10 11 11 12 13 13 14 14 13 13 12 12 12 12 12 11 11 11 12 13 15 16 16 15 13 13 14 16 18 20 21 20 18 15 13 11 11 11 10 9 8 8 7 7 8 8 8 8 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 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 9 10 10 10 9 8 8 8 9 10 10 10 9 9 9 9 10 11 11 12 13 14 14 14 14 13 10 9 9 10 11 11 11 12 12 12 11 10 8 6 5 6 7 8 10 10 9 8 10 12 14 12 10 8 7 7 7 7 7 8 8 8 9 9 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 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 nan
nan 9 10 10 11 11 11 10 9 9 10 12 13 12 11 10 10 10 10 10 10 10 10 10 11 12 12 12 11 9 9 9 10 11 12 12 12 11 11 11 11 11 10 7 4 2 1 -0 -1 0 3 6 10 11 9 8 7 7 7 8 8 9 9 9 9 9 10 10 11 11 12 12 12 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 11 11 11 11 11 11 11 12 12 11 11 11 11 11 nan
nan 9 10 10 10 10 10 10 9 10 12 13 14 14 12 11 11 11 11 10 9 9 8 8 9 9 9 10 10 9 9 9 9 10 11 11 11 12 12 13 15 16 17 17 14 11 9 7 5 7 9 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 12 13 14 14 13 13 13 13 13 12 12 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 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 9 10 10 11 12 13 12 12 11 11 11 10 9 9 8 8 8 8 8 9 9 10 9 9 8 8 8 8 9 11 12 12 13 14 16 18 20 22 22 21 20 21 22 23 23 20 18 18 18 18 17 16 15 15 14 14 13 14 16 19 20 19 17 15 14 14 13 12 12 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 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 10 11 11 11 11 12 14 16 19 22 23 23 25 26 27 26 24 24 24 23 23 24 24 22 20 19 19 18 19 21 23 23 21 18 15 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 11 10 9 9 10 10 10 10 10 11 12 13 15 17 18 18 18 18 17 17 17 18 20 21 23 24 24 24 25 25 25 23 21 19 17 17 16 16 15 14 13 13 12 12 11 11 11 11 11 12 12 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 11 11 11 nan
nan 10 10 10 10 9 9 8 7 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 10 11 12 12 12 11 10 10 11 11 11 10 10 10 11 11 12 12 12 11 9 9 9 9 10 12 14 16 18 20 22 24 26 26 24 20 17 15 16 19 20 20 18 16 14 12 11 11 11 11 11 11 12 12 12 12 12 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 nan
nan 10 10 10 9 9 8 7 6 6 6 5 5 6 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 11 12 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 9 7 6 6 7 8 10 11 11 12 14 16 18 19 20 21 20 19 18 18 19 19 18 16 14 12 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 nan
nan 10 10 8 7 6 6 6 6 6 5 5 5 7 9 9 9 9 10 11 10 10 10 10 10 10 9 9 10 10 10 10 11 13 15 16 17 17 15 12 11 10 10 9 9 9 10 10 10 8 7 6 6 7 9 10 10 11 10 11 12 12 13 14 15 17 17 15 11 8 6 5 5 5 5 5 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 9 8 5 3 3 3 4 6 7 7 8 9 11 11 10 8 8 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 14 16 18 17 15 13 11 10 9 9 9 9 9 10 9 7 6 6 7 8 9 10 11 11 11 11 11 11 11 11 11 12 11 7 3 -1 -2 -3 -2 -0 2 3 5 6 7 8 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 5 4 3 3 4 5 7 9 10 12 13 13 12 10 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 15 15 15 15 14 11 9 8 8 7 7 8 8 8 8 8 8 9 10 10 10 11 11 11 11 10 10 9 9 8 6 3 1 -0 0 0 1 2 3 4 5 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 6 6 7 8 9 8 8 10 11 13 14 13 12 11 10 9 9 9 8 8 8 8 8 9 9 8 7 6 7 7 8 8 9 9 11 12 13 14 15 14 11 9 8 7 7 7 7 8 9 10 9 10 10 10 10 10 10 10 11 10 9 8 8 6 4 1 -1 -0 1 3 4 4 4 5 6 7 7 8 9 9 9 9 9 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 12 nan
nan 7 8 10 11 11 10 10 11 11 11 10 10 9 10 10 10 10 9 8 7 6 6 7 7 7 6 5 5 6 6 7 7 7 8 9 10 11 12 12 11 9 9 8 7 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 6 3 -1 -2 -2 0 3 4 5 5 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 8 8 7 6 7 8 9 8 7 6 6 7 7 9 10 11 10 9 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 4 2 2 3 5 6 6 7 7 7 8 8 8 8 9 9 10 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 12 12 12 12 12 12 nan
nan 6 5 4 4 5 7 8 8 7 5 4 4 5 5 6 8 9 9 9 9 10 11 10 9 9 10 12 13 12 11 10 8 7 7 6 5 6 6 7 8 8 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 12 12 10 9 9 9 9 8 8 9 9 9 10 10 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 12 nan
nan 6 6 6 7 10 12 12 11 8 7 6 6 7 7 7 7 7 8 10 12 13 13 11 10 10 10 11 12 12 11 9 7 5 4 3 4 5 6 7 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 14 17 20 19 16 14 11 10 9 9 9 9 9 9 9 9 10 10 10 10 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 12 12 12 nan
nan 7 8 9 11 13 13 12 10 8 8 8 9 10 10 10 9 9 10 11 12 11 10 9 9 9 9 8 9 9 8 6 4 2 2 3 4 6 7 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 15 16 16 14 12 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 9 10 10 9 7 6 6 7 9 10 12 12 12 11 11 10 10 8 7 7 8 10 10 10 9 8 7 5 4 3 3 4 6 7 8 9 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 10 10 10 9 10 10 11 12 12 13 12 9 8 6 6 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 9 9 9 8 7 6 5 5 6 8 10 12 13 13 13 13 13 11 9 7 7 9 11 12 12 11 10 8 7 5 5 6 7 8 9 9 10 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 11 10 9 8 8 8 8 9 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 9 8 7 7 8 9 10 12 13 14 14 14 14 14 14 14 12 12 12 13 12 12 11 10 9 8 9 10 12 13 13 12 12 12 12 12 11 11 12 11 11 10 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 9 10 11 13 13 13 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 9 8 7 7 9 10 11 12 13 14 14 14 15 16 16 16 14 13 12 11 10 10 10 10 11 13 14 14 15 15 14 14 13 12 11 12 12 12 12 11 10 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 9 9 11 13 15 16 15 13 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 7 6 4 3 1 1 2 3 4 4 6 8 10 12 13 14 13 13 13 12 12 11 10 10 10 11 12 13 13 13 13 13 13 13 12 12 11 11 12 12 12 12 11 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 9 10 10 12 14 16 16 15 13 12 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 2 1 -1 -2 -3 -3 -3 -2 -2 -3 -3 -2 1 4 7 8 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 11 10 10 10 11 11 11 11 12 13 13 12 11 10 10 9 9 10 10 11 10 10 10 9 10 10 10 10 10 10 10 9 10 10 12 15 17 16 15 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan -1 -1 -1 0 1 3 3 3 1 0 -1 -1 -0 0 0 1 2 6 8 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 10 10 10 10 11 12 13 13 12 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 12 14 15 16 16 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 15 18 20 nan
nan 5 6 7 8 9 9 10 9 9 8 7 6 5 3 1 2 5 9 11 12 11 10 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 9 10 11 12 12 12 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 14 16 16 15 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 16 21 26 30 nan
nan 13 13 13 13 12 12 11 12 13 13 13 12 10 9 9 10 13 15 14 12 11 10 9 9 10 11 11 11 11 10 10 9 9 9 10 10 9 9 10 11 11 11 11 11 11 11 11 10 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 13 15 17 18 18 18 19 18 17 16 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 14 16 19 23 25 27 29 nan
nan 16 16 15 14 13 14 15 16 17 17 16 14 13 13 14 16 16 15 13 10 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 9 10 11 11 12 12 11 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 13 15 17 21 23 25 26 24 22 21 19 18 17 16 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 13 14 18 22 24 24 21 19 nan
nan 17 17 16 17 17 19 20 21 21 19 17 15 14 14 15 16 16 15 12 10 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 12 11 10 9 9 9 9 10 10 10 10 11 12 13 13 13 13 13 12 12 12 11 12 12 13 16 20 24 26 26 26 25 26 26 24 21 18 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 13 16 18 19 18 15 14 nan
nan 16 17 18 19 21 21 21 21 20 18 16 15 15 16 17 18 19 18 15 12 11 11 12 12 12 12 11 10 10 10 10 10 10 10 11 11 11 12 13 13 14 13 13 13 13 11 10 9 9 9 9 9 9 10 10 11 12 14 14 13 12 12 12 12 12 11 11 11 12 14 16 17 18 19 21 23 25 27 26 24 20 18 16 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 12 13 12 13 12 nan
nan 14 15 16 17 17 17 17 17 16 15 15 16 17 19 21 22 22 20 17 15 14 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 12 10 9 9 9 9 9 9 9 10 11 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 15 17 18 20 21 22 20 19 16 14 15 16 16 16 16 15 14 14 13 13 13 13 12 12 12 12 12 11 11 10 8 7 8 10 11 12 12 nan
nan 12 13 14 14 14 14 14 15 14 14 15 16 18 20 22 22 20 18 17 16 15 14 12 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 8 8 8 9 11 11 10 9 9 9 9 9 9 9 10 10 11 11 12 11 10 10 10 9 9 9 10 10 11 11 11 11 11 10 11 11 11 12 13 14 16 18 19 20 20 21 22 23 23 24 22 20 17 15 15 14 13 13 12 12 12 12 12 11 11 10 7 6 6 8 10 11 11 nan
nan 13 14 15 14 14 14 15 15 14 14 14 15 17 18 19 18 16 15 15 15 14 12 11 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 6 7 7 8 10 10 9 9 10 11 11 11 10 10 10 11 11 11 11 10 9 9 8 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 13 15 18 22 25 28 28 28 28 27 25 22 20 19 18 17 15 14 13 13 13 12 12 12 11 9 6 3 1 4 8 10 11 nan
nan 16 16 16 15 15 15 15 15 15 15 15 16 17 17 17 15 14 14 13 13 11 10 9 8 7 7 8 8 9 10 10 10 10 10 9 9 8 7 7 7 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 16 20 23 24 24 24 24 24 24 25 26 25 24 23 20 18 16 15 14 14 13 13 12 11 7 2 -0 0 4 8 10 nan
nan 15 14 14 13 13 14 14 14 14 14 15 15 16 16 15 13 12 12 11 10 9 9 10 10 9 8 8 8 9 10 10 10 10 10 10 9 9 9 8 8 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 9 10 11 11 11 11 11 12 12 12 12 11 12 11 11 11 11 11 13 14 15 16 16 16 16 18 21 25 27 28 28 28 27 24 22 20 18 16 15 14 14 13 10 5 1 -1 0 5 8 nan
nan 12 11 11 11 12 12 12 12 12 12 13 13 13 12 11 10 10 9 9 9 10 11 13 13 12 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 14 16 18 20 22 24 25 27 28 27 25 23 20 18 16 15 15 13 10 5 0 -1 0 4 nan
nan 10 10 10 10 11 11 11 10 10 10 11 11 10 10 9 9 9 9 9 10 12 13 13 12 12 12 12 11 11 10 10 9 8 6 5 5 5 5 6 7 7 6 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 16 18 21 24 26 26 24 21 19 17 16 15 14 12 9 4 -0 -3 -3 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 12 12 10 9 9 10 11 11 10 9 8 7 7 6 5 3 3 2 2 3 4 4 5 6 6 6 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 13 15 17 19 20 20 19 18 17 17 16 15 15 13 9 4 -0 -4 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 10 11 11 9 8 7 7 8 8 8 7 6 6 6 7 7 7 6 4 2 0 0 1 2 4 6 7 8 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 11 11 11 10 10 9 9 9 9 9 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 13 15 16 19 21 22 22 21 21 20 18 15 12 9 4 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 8 8 7 7 8 9 9 8 6 6 6 7 8 9 10 10 9 7 4 1 1 1 2 4 6 8 10 11 10 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 14 18 23 25 26 27 28 27 27 25 23 21 19 15 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 11 11 12 12 12 11 10 8 7 6 6 7 8 9 9 10 9 8 8 8 9 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 9 8 8 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 13 15 18 20 21 22 24 26 27 29 30 29 29 28 26 nan
nan 9 10 10 10 10 10 10 10 10 9 9 8 7 6 5 5 6 7 9 11 13 14 14 15 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 9 8 7 8 8 10 10 10 10 10 9 10 11 11 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 12 13 14 14 14 15 16 18 20 23 27 28 29 30 30 nan
nan 9 10 10 10 10 10 10 10 9 8 7 6 5 5 6 7 10 13 16 17 17 18 17 17 16 16 16 15 15 15 14 14 15 14 15 14 14 14 15 16 16 15 14 14 13 11 9 7 7 7 8 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 12 12 13 15 18 20 21 24 27 nan
nan 10 10 10 10 10 10 10 10 9 8 7 7 7 9 11 14 16 18 18 18 17 17 17 18 17 17 16 16 16 16 17 17 17 17 17 16 16 15 15 15 15 15 15 15 14 13 11 7 5 4 4 6 8 10 11 12 12 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 12 13 14 16 18 nan
nan 10 10 10 10 10 10 10 10 9 8 9 10 13 15 16 17 17 16 15 14 14 14 15 15 16 16 16 16 17 18 18 18 18 18 18 18 17 16 15 14 14 14 15 15 15 14 12 9 7 5 4 5 7 8 10 11 12 11 10 10 9 9 9 9 8 8 9 9 10 10 11 10 10 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 nan
nan 10 10 10 10 10 10 10 10 10 11 12 14 16 16 16 14 13 12 11 10 10 11 11 11 12 13 14 15 15 15 16 16 16 16 17 18 18 18 16 15 14 14 15 15 15 15 14 13 11 10 8 7 7 7 7 8 9 9 10 10 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 11 12 14 15 15 14 12 11 11 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 12 13 14 15 16 17 17 16 16 16 16 16 16 16 15 14 13 12 11 9 8 7 6 6 7 8 9 10 10 10 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 11 11 12 nan
nan 10 10 10 10 10 11 11 11 12 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 14 15 16 16 17 17 17 17 17 16 15 13 11 11 10 9 8 8 8 8 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 12 12 12 12 nan
nan 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 10 10 11 12 14 16 18 19 19 19 19 18 16 14 13 12 12 12 11 11 10 9 10 10 10 10 11 11 11 11 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 10 9 8 9 9 10 11 14 16 18 20 21 21 20 19 19 17 16 15 14 14 13 12 11 10 9 9 9 10 10 10 11 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 9 8 8 8 8 9 10 13 15 16 17 19 20 20 20 20 19 17 15 14 12 11 11 10 10 10 9 8 8 7 7 9 10 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 9 10 11 12 12 14 15 17 18 20 20 19 17 15 13 10 9 8 9 10 10 9 8 7 6 6 7 8 9 10 10 10 10 10 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 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 11 11 10 10 9 9 9 9 9 10 10 10 10 11 12 13 14 15 16 17 17 17 16 15 12 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 13 13 15 17 18 19 17 14 12 11 10 9 9 10 11 11 10 9 7 7 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 13 12 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 12 13 15 17 19 19 18 17 16 15 15 15 14 15 16 15 12 9 7 8 8 9 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 11 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 nan
nan 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 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 15 16 16 17 18 19 19 19 19 20 20 17 13 10 9 8 9 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 13 11 10 10 10 11 11 11 11 11 11 11 10 11 11 12 12 13 13 12 12 nan
nan 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 10 10 11 11 11 12 12 12 12 13 13 14 15 17 17 18 19 20 22 21 19 17 13 9 9 8 8 9 10 10 11 11 12 12 12 11 11 11 11 11 11 12 13 15 16 16 15 12 10 10 11 11 12 12 11 11 11 10 10 10 11 11 12 13 13 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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 1 4 5 7 7 8 8 9 13 18 22 25 28 31 35 39 42 42 43 45 47 47 47 47 46 45 44 45 46 49 51 52 53 54 56 57 59 61 63 65 68 70 71 71 73 77 81 86 91 91 90 94 101 110 116 121 125 126 126 127 135 143 151 158 162 159 160 161 162 176 190 202 211 215 211
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 6 7 11 15 19 23 26 29 33 36 40 42 42 42 42 43 43 42 42 41 40 41 42 43 43 45 48 49 52 54 55 56 61 65 69 72 74 73 74 78 82 88 93 94 94 97 103 112 120 127 134 137 138 139 142 145 149 156 163 166 166 166 164 176 185 194 206 216 218
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 3 2 2 2 2 1 1 2 4 6 8 10 13 15 17 20 23 26 29 31 33 35 38 41 45 48 51 57 58 61 64 68 74 80 85 90 95 98 103 107 111 114 119 122 126 130 134 135 137 140 142 142 144 146 146 147 149 156 161 164 164 162 165 170 176 181
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 4 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 2 4 6 9 11 13 16 19 22 25 28 30 31 33 36 39 42 45 48 51 54 56 57 61 66 71 76 81 88 92 97 100 102 105 110 115 120 126 125 129 133 136 138 136 137 138 137 137 141 147 152 157 159 156 159 164 168 173
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 6 7 7 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 9 12 13 15 17 19 21 24 27 29 30 32 35 37 39 41 44 46 48 48 53 59 63 65 69 77 83 88 90 92 95 98 100 104 113 115 119 123 126 127 129 131 132 130 126 129 134 139 144 147 149 153 157 160 163
0 0 0 0 0 0 0 1 1 1 0 1 1 2 3 3 4 5 6 7 7 6 6 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 13 14 14 15 17 18 19 22 24 26 28 30 30 32 33 34 36 40 41 44 48 53 56 60 65 70 74 78 81 84 86 87 91 99 107 114 118 119 120 123 125 127 125 124 126 129 134 139 140 143 149 156 159 162
1 1 1 0 1 1 1 1 1 1 2 2 2 3 5 5 6 6 7 6 7 6 5 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 9 11 12 13 13 13 13 14 15 16 18 20 21 23 23 24 25 26 29 31 32 33 33 37 42 48 53 57 61 64 69 75 81 80 82 87 97 107 111 111 113 114 115 120 121 123 125 128 132 135 137 138 143 152 160 165
1 1 1 1 1 1 1 1 1 2 2 2 3 4 5 6 6 7 7 7 6 6 6 5 3 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 1 2 3 5 8 9 10 10 10 10 10 9 10 10 11 12 13 15 16 17 18 19 20 21 23 23 23 23 27 32 39 45 50 56 60 62 65 73 75 78 82 87 94 99 101 105 113 114 115 117 119 123 128 131 134 136 135 139 146 154 160
3 3 2 2 2 1 2 2 2 2 2 2 3 4 4 5 7 8 8 7 7 7 7 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 8 8 7 7 6 6 7 7 7 7 7 8 9 10 11 11 11 12 13 14 15 15 14 16 20 25 28 32 38 44 50 54 56 62 68 74 81 83 88 93 97 101 108 112 115 116 116 118 121 123 125 128 130 136 144 149 150
4 3 3 3 3 2 2 3 3 3 3 3 4 4 5 6 7 7 7 7 7 7 7 6 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 5 4 4 3 3 4 4 4 4 5 6 6 5 4 4 5 6 6 7 8 9 11 14 16 17 20 23 28 36 45 51 55 60 66 73 78 84 90 96 99 103 108 114 115 114 116 117 118 118 121 128 140 148 146 146
5 5 5 4 3 3 3 4 4 4 4 4 5 5 6 7 8 7 5 5 6 5 5 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 3 3 3 5 4 3 2 2 1 1 2 2 2 2 4 5 6 8 10 11 14 17 22 30 37 44 49 52 57 63 70 78 86 92 96 101 107 114 116 117 119 122 124 122 123 130 140 144 146 150
7 6 6 5 5 5 5 5 5 4 6 6 6 6 7 7 6 5 4 4 3 2 3 4 5 5 4 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 1 1 0 0 0 1 1 1 1 2 3 3 3 5 6 8 9 12 16 21 26 33 41 45 53 60 67 75 83 89 97 106 113 118 122 125 129 132 134 136 137 140 145 149 156 162
8 8 8 8 8 8 7 6 5 4 5 5 6 5 5 5 4 4 4 3 2 2 3 4 5 5 5 4 4 3 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 8 11 14 17 22 28 37 44 53 61 68 76 84 92 101 111 117 122 127 134 141 144 149 152 153 152 157 166 172 177
10 9 10 10 10 9 8 7 6 5 5 5 5 5 5 4 4 3 2 2 2 2 3 4 4 4 4 4 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 8 10 13 16 19 25 32 40 48 56 62 71 79 88 97 105 112 120 126 133 139 145 154 162 167 168 173 173 171 170 169
10 10 10 10 10 9 8 7 6 6 6 6 6 5 4 3 3 3 2 2 2 3 4 3 4 4 4 3 5 5 6 6 6 6 4 2 1 0 0 0 0 0 0 0 1 1 2 2 1 2 3 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 9 12 14 18 21 24 29 37 45 53 59 66 73 81 91 99 106 113 120 126 135 143 151 158 164 166 168 168 168 166 159 154
12 12 11 10 10 9 8 8 7 7 7 6 5 4 3 3 2 3 3 3 3 3 3 4 4 4 4 5 6 6 7 7 8 6 4 2 1 0 0 0 0 0 0 1 2 3 4 4 3 3 4 5 6 5 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 9 11 14 16 19 23 27 33 39 45 52 58 66 72 79 87 96 103 110 117 124 130 139 146 150 155 154 152 153 157 162 158 151
15 14 12 12 11 10 9 8 6 6 5 4 4 3 3 2 2 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 6 5 2 1 0 0 0 0 0 1 2 3 5 6 5 5 6 7 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 8 9 11 14 16 19 21 25 31 36 42 49 56 63 69 74 82 91 98 105 113 121 125 130 138 142 146 147 146 143 149 159 162 160
17 15 13 12 11 10 8 6 5 4 4 3 3 3 3 3 3 4 4 4 3 5 5 6 6 5 6 5 4 4 4 4 5 5 6 7 5 3 2 1 1 1 1 2 3 6 7 8 8 8 8 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 9 11 12 14 16 18 21 25 31 38 44 51 58 64 69 76 83 89 96 103 113 119 122 126 128 135 142 144 144 143 150 158 164
17 15 13 12 11 10 6 4 3 3 3 2 2 3 3 3 3 4 4 5 5 6 6 7 7 5 4 4 3 3 2 2 3 3 4 7 7 6 4 3 2 3 4 5 7 9 9 9 9 8 9 8 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 7 8 8 9 10 11 12 15 17 20 24 29 36 43 51 57 61 67 75 81 87 93 100 109 116 121 123 127 134 137 146 149 150 154 159
16 14 12 10 9 6 5 4 3 2 2 2 2 3 3 4 4 4 5 6 6 7 7 8 7 5 4 3 2 2 2 1 1 1 3 5 6 6 6 7 6 7 8 9 11 11 11 11 10 8 7 7 6 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 6 7 7 7 8 8 10 11 13 16 18 21 25 30 37 42 48 53 60 67 73 80 86 91 100 110 118 124 129 132 137 144 151 153 154 156
15 13 10 9 6 5 5 4 4 3 3 3 3 3 4 4 4 5 6 6 7 8 9 7 5 3 3 2 1 2 2 2 2 2 2 3 6 8 9 10 10 11 12 12 13 13 12 11 10 8 6 6 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 4 4 5 6 7 7 7 9 10 12 14 16 19 22 26 30 34 39 44 49 57 65 72 79 86 93 100 107 119 127 131 136 142 146 148 150 152
15 14 12 9 6 6 6 6 6 5 4 3 2 3 4 4 4 5 6 6 7 7 5 3 4 3 2 1 1 1 1 1 1 3 4 7 10 12 13 14 14 14 15 15 15 14 13 10 8 7 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 6 7 7 8 9 11 13 16 18 20 23 27 30 33 38 43 50 57 65 74 86 93 98 104 111 118 123 129 135 139 143 146 148
16 14 11 7 6 6 7 7 6 4 3 2 2 3 4 4 5 6 5 5 5 4 3 3 3 2 2 1 1 1 1 2 4 6 9 12 15 17 16 16 15 14 14 14 14 14 11 9 8 6 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 6 6 7 7 8 9 10 13 15 17 19 21 24 27 29 33 37 43 49 58 68 79 87 93 100 104 107 113 121 130 136 140 144 148
14 11 8 6 6 6 6 6 4 3 3 2 1 3 4 4 5 5 5 4 3 2 2 2 2 2 3 3 3 4 6 9 11 14 17 17 18 17 16 14 14 13 12 13 14 13 11 9 7 5 3 2 1 1 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 5 6 7 8 8 9 10 12 14 17 17 19 22 25 26 30 35 39 44 51 59 68 74 81 88 93 97 103 113 121 127 133 140 143
10 8 6 5 5 5 5 6 5 4 3 3 4 4 4 4 3 3 3 3 2 1 2 3 3 4 5 7 10 12 15 18 19 21 23 19 17 14 12 12 11 10 9 10 12 12 11 9 7 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 5 6 7 8 9 10 11 12 14 15 16 19 24 25 29 33 37 41 47 53 60 65 68 73 78 84 92 105 113 115 121 131 139
6 6 5 6 6 6 6 7 7 6 6 5 5 5 3 2 2 1 1 1 1 2 3 4 5 6 10 14 18 21 23 23 22 22 21 17 14 12 10 8 7 7 7 8 9 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 4 6 7 8 9 10 10 11 12 14 16 21 24 27 30 34 38 43 49 55 60 62 64 68 74 85 96 101 101 106 117 131
6 6 6 7 8 8 8 8 7 7 8 7 7 6 4 3 3 3 3 3 2 4 5 7 9 11 16 21 26 29 29 24 20 18 16 13 10 9 6 4 4 4 4 5 6 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 5 6 6 7 8 9 9 10 11 13 15 18 22 26 30 32 35 39 46 51 55 58 62 63 67 75 84 89 89 93 103 117
9 9 9 10 10 10 10 10 9 10 8 9 10 11 12 13 13 12 12 11 10 10 11 14 16 20 25 27 25 23 20 17 15 13 11 8 5 4 2 1 1 1 2 2 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 1 1 2 2 2 3 4 5 5 6 7 8 8 9 10 12 14 17 21 24 28 31 33 37 41 45 49 53 57 59 64 70 77 82 85 88 97 108
13 13 12 12 13 15 18 20 21 21 20 22 25 27 29 29 28 27 23 21 19 18 19 20 20 20 19 18 17 16 15 14 12 9 7 5 3 1 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 4 5 6 7 8 8 9 10 12 14 17 21 24 28 30 34 39 43 45 49 53 57 61 66 72 77 81 87 93 98
17 17 17 18 20 22 26 29 32 36 39 42 47 44 42 37 30 27 22 19 18 18 19 17 15 13 12 12 12 11 11 10 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 4 5 5 6 6 7 8 10 12 14 16 19 23 25 28 34 38 40 44 49 54 57 62 67 73 77 81 86 91
20 21 23 23 24 26 29 32 34 35 35 35 36 35 33 30 25 22 17 14 13 14 13 12 11 9 8 9 9 8 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 4 5 5 5 6 7 8 10 12 14 17 20 24 30 34 36 39 44 50 57 61 65 70 77 84 88 83
18 20 21 24 25 25 26 26 25 24 22 20 19 17 15 14 14 12 11 9 10 10 10 9 8 7 6 6 6 7 7 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 3 4 5 6 7 8 10 12 14 16 23 27 30 33 38 44 50 55 62 67 71 70 63 61
18 18 18 20 20 19 17 15 13 11 9 9 8 6 3 3 3 4 5 5 6 7 7 7 6 5 5 5 6 6 6 6 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 2 3 3 4 5 6 7 8 10 11 15 20 24 28 33 38 45 53 57 60 61 58 52 49
16 13 12 11 10 9 7 5 3 2 2 2 2 1 0 0 0 0 1 2 3 4 4 4 3 3 3 4 5 5 5 5 5 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 4 4 5 6 7 9 11 15 19 23 28 34 40 50 51 48 45 42 41 40
7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 3 4 4 4 5 5 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 3 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4 4 5 6 8 9 11 16 20 25 29 35 43 45 41 39 37 36 35
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 3 5 4 4 3 2 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 4 4 5 5 6 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 0 0 1 1 1 1 2 1 2 2 3 4 4 5 7 9 13 17 22 29 31 30 30 28 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 1 2 3 3 4 3 4 4 4 4 3 2 0 0 0 0 0 0 1 2 3 3 3 4 4 4 4 5 6 6 6 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 4 7 11 15 22 23 24 25 26 26 26
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