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 10 10 10 11 10 10 10 10 9 7 6 7 8 8 10 10 9 8 8 8 9 10 10 9 9 9 9 8 8 8 9 10 13 17 20 21 21 18 15 13 12 12 12 12 11 10 9 9 8 9 9 9 10 10 9 8 7 6 6 7 10 12 13 14 14 13 12 11 10 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 12 13 12 11 10 10 11 11 11 12 12 13 13 12 12 13 13 13 13 13 12 11 nan
nan 11 12 12 11 9 9 10 11 11 10 9 8 7 6 8 8 8 7 6 6 7 9 10 11 11 10 10 9 9 9 9 10 12 15 18 21 21 19 16 13 12 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 9 8 7 8 8 10 12 13 13 13 13 12 10 9 9 8 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 11 12 13 14 14 14 14 14 14 14 14 13 13 12 11 10 nan
nan 11 12 13 12 11 10 10 11 12 12 11 10 9 8 7 7 7 6 6 6 7 8 9 10 11 11 11 10 10 10 10 10 11 13 17 21 22 20 17 15 13 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 9 8 8 9 11 12 13 13 13 12 11 10 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 10 10 9 9 10 10 10 9 9 10 11 13 14 15 15 15 15 15 15 14 14 13 12 12 11 10 nan
nan 10 11 12 12 11 10 10 11 12 13 13 12 12 11 10 8 7 7 7 7 7 8 8 9 10 11 11 11 11 10 10 10 10 12 16 19 21 21 20 17 15 14 13 13 13 13 12 12 12 11 10 9 9 9 9 10 10 10 10 9 9 9 10 11 12 13 13 12 11 11 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 9 9 11 13 14 15 15 15 15 15 14 14 14 13 12 11 10 10 nan
nan 8 9 10 11 11 11 11 11 12 12 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 11 12 12 12 11 10 10 10 11 15 18 20 22 20 17 15 14 13 13 13 13 13 13 13 12 12 11 10 9 9 9 10 10 10 10 9 9 9 10 11 12 13 12 12 11 10 9 9 8 8 9 10 11 11 12 13 13 12 11 10 10 10 9 9 9 9 9 8 9 10 12 14 14 14 14 14 14 14 14 13 13 13 12 11 10 10 nan
nan 8 9 9 10 10 10 11 11 11 11 11 12 13 13 13 13 13 12 11 10 10 10 9 9 9 11 12 13 12 12 11 11 10 12 14 17 20 21 19 16 14 12 12 11 11 11 12 12 13 13 13 12 12 10 10 10 10 10 10 10 10 9 9 9 10 12 12 13 12 12 11 10 9 8 8 9 9 10 10 11 13 12 12 11 10 10 9 9 9 9 9 8 8 9 10 12 13 13 13 13 13 13 13 13 13 13 12 11 11 10 9 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 11 11 13 15 15 14 13 11 10 10 9 9 9 10 12 13 13 13 12 11 11 12 15 17 19 18 16 14 13 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 9 9 10 10 11 12 13 13 12 12 11 9 8 8 9 9 9 9 10 11 12 12 11 10 10 9 8 8 8 8 8 8 9 11 12 13 13 12 12 12 12 12 12 12 12 12 11 10 9 9 nan
nan 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 13 15 15 13 11 10 10 10 10 9 10 11 12 12 12 12 11 11 12 14 15 16 15 14 13 12 12 12 11 11 10 10 9 9 9 10 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 12 12 12 10 9 9 9 9 9 9 10 11 12 12 11 10 10 9 8 7 7 7 7 8 10 11 12 13 12 11 11 12 12 12 11 11 11 11 11 10 8 8 nan
nan 12 11 10 10 9 8 8 9 9 9 9 9 9 9 10 11 12 12 11 10 10 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 13 13 13 13 13 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 10 9 9 9 9 9 10 11 12 12 11 10 9 9 8 7 7 7 7 9 10 11 13 13 12 12 11 12 11 10 10 9 10 10 9 8 7 8 nan
nan 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 11 12 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 14 14 14 15 15 16 16 16 14 12 11 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 10 11 11 11 11 10 9 8 8 7 7 7 8 9 10 12 13 13 13 12 11 11 10 9 9 9 9 10 9 8 8 9 nan
nan 13 12 12 11 10 9 9 10 11 11 11 11 11 10 10 10 10 9 10 11 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 11 11 12 13 14 15 16 16 16 15 16 17 19 21 21 19 16 14 15 14 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 10 9 9 9 9 9 10 11 11 11 10 9 9 8 8 7 8 9 10 12 13 14 13 13 11 10 10 10 9 9 9 10 11 11 11 11 12 nan
nan 13 12 12 11 10 10 10 10 12 12 12 12 12 11 11 11 11 10 11 12 12 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 12 13 15 16 17 17 18 19 23 24 23 20 17 18 20 19 16 13 11 12 12 12 12 11 11 10 10 10 11 11 12 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 9 10 12 14 14 14 13 12 11 10 10 11 11 11 11 12 12 12 13 13 13 nan
nan 13 12 11 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 10 9 9 10 10 10 10 9 9 9 8 9 9 9 9 9 9 10 11 13 15 17 18 20 22 22 19 17 18 22 24 23 19 15 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 10 11 11 11 10 10 9 9 9 10 12 13 15 16 16 15 13 12 11 11 11 12 12 12 12 13 13 12 12 13 12 nan
nan 12 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 12 13 15 16 15 13 14 18 22 24 23 21 18 16 15 15 15 14 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 12 12 12 11 11 11 11 12 13 15 16 17 17 17 16 14 12 12 12 13 13 13 13 13 13 12 12 12 12 12 nan
nan 14 13 13 12 11 11 11 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 8 9 9 9 9 9 11 14 17 19 20 19 19 19 19 18 17 16 14 12 10 11 14 16 15 14 13 13 14 14 15 14 14 13 13 13 13 13 14 14 14 14 15 16 16 17 18 19 18 18 17 16 15 14 14 14 14 14 14 13 12 12 12 12 12 12 11 nan
nan 18 17 16 15 14 13 12 11 10 9 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 10 12 13 15 16 17 18 19 21 21 19 17 14 11 10 12 17 20 20 17 16 15 15 16 17 17 16 16 16 15 15 16 16 17 17 18 18 19 19 20 20 20 19 19 18 17 16 15 15 14 14 14 13 12 12 12 12 12 12 10 9 nan
nan 21 21 20 18 17 16 15 13 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 9 9 9 10 10 10 9 8 7 7 8 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 14 15 16 18 19 19 17 16 14 12 12 15 19 22 22 19 18 17 18 19 19 19 19 18 18 18 18 18 19 19 20 20 20 20 20 20 20 20 19 19 18 17 16 15 14 14 13 13 12 12 12 12 12 12 10 9 8 nan
nan 22 22 20 18 16 15 15 14 13 13 13 13 12 11 11 11 10 10 10 11 12 12 10 8 7 8 9 10 10 8 7 6 6 8 11 12 12 12 10 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 13 13 15 16 16 15 15 15 14 13 13 15 18 20 19 18 18 20 22 22 21 21 21 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 18 17 17 16 15 14 13 13 13 13 13 13 12 12 12 11 10 9 9 nan
nan 19 18 16 13 12 11 12 13 14 14 15 15 14 13 12 12 11 10 10 11 12 11 9 7 6 7 8 9 9 8 7 7 7 10 11 13 14 13 10 9 9 9 9 8 9 9 10 12 12 12 11 11 11 11 11 12 13 13 14 14 14 15 14 13 13 15 18 21 22 23 24 26 27 25 24 22 22 22 22 21 21 21 21 21 20 20 19 18 18 17 17 16 16 15 15 14 14 13 13 13 13 13 13 13 12 12 12 12 12 11 10 nan
nan 14 12 10 8 8 8 10 11 12 13 15 15 15 14 14 14 13 11 11 11 11 11 9 7 7 7 8 9 8 8 7 6 8 10 12 14 15 13 11 10 9 9 8 8 8 9 10 12 12 12 11 11 10 11 11 11 11 12 13 13 14 14 13 13 15 18 23 27 30 32 33 32 30 27 25 23 23 23 23 22 22 22 21 21 19 18 17 16 16 15 14 14 13 13 13 13 13 13 12 12 13 13 13 12 12 12 13 13 12 11 11 nan
nan 10 9 7 7 7 8 10 11 12 13 14 14 14 14 14 14 13 13 12 12 11 11 10 9 8 8 9 9 8 7 6 6 7 9 11 14 15 13 11 9 9 8 8 8 8 9 10 11 12 12 11 10 10 10 10 10 11 12 12 13 13 13 13 15 19 25 30 33 34 34 33 30 28 26 24 24 23 22 22 22 22 22 21 19 18 17 16 14 13 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 10 10 nan
nan 8 8 8 8 9 10 11 13 14 13 12 11 11 11 12 13 13 14 14 13 12 11 10 10 9 9 10 9 9 8 6 6 6 8 11 14 13 12 10 9 8 9 9 8 8 9 10 11 12 12 11 10 10 10 10 11 11 12 12 13 14 15 17 21 26 31 33 33 31 28 27 26 24 24 23 23 22 21 21 21 21 20 19 18 16 15 13 12 12 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 11 11 nan
nan 9 9 9 9 9 9 11 13 13 12 10 9 10 10 10 11 13 14 15 15 14 13 12 11 10 11 11 10 9 8 6 6 6 8 10 11 10 10 9 9 9 9 9 8 8 9 10 11 12 12 11 11 10 10 10 11 12 12 13 15 17 20 24 29 33 34 33 29 25 23 22 22 21 21 21 20 19 19 18 19 19 18 17 16 14 13 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 nan
nan 9 9 9 8 8 8 10 11 12 10 9 9 10 10 9 10 12 14 15 15 14 14 12 12 12 12 12 11 9 8 7 7 7 7 7 7 7 8 10 10 10 10 9 7 8 8 9 11 13 13 12 12 11 10 11 12 12 14 16 18 20 25 30 34 34 31 28 24 21 20 19 19 19 19 18 17 17 17 16 16 16 15 15 13 12 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 nan
nan 9 9 8 8 9 9 10 10 10 9 10 10 10 10 9 10 11 12 14 15 15 14 13 12 12 12 11 10 9 8 8 7 7 6 5 4 6 9 11 12 11 10 8 7 7 8 9 12 13 13 13 12 11 11 12 12 14 15 17 19 21 24 27 27 25 23 21 18 18 17 17 17 16 16 16 15 14 14 14 14 13 13 12 11 10 10 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 nan
nan 9 9 10 11 11 11 10 9 9 10 11 11 11 11 11 10 11 13 15 17 16 15 13 12 12 11 10 9 9 8 8 8 7 6 5 4 7 11 13 13 11 8 6 6 6 6 9 12 13 14 14 12 11 12 12 13 14 16 17 18 19 19 17 16 15 16 16 15 15 15 15 15 14 14 14 13 12 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 nan
nan 9 10 12 13 13 11 9 8 9 10 11 12 13 13 13 12 13 14 16 16 16 14 14 13 12 11 10 9 8 8 9 9 8 7 6 6 9 11 13 12 9 6 6 6 6 7 9 11 13 14 13 12 12 12 12 13 14 15 15 16 15 13 12 12 15 17 16 15 14 13 13 13 13 13 12 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 nan
nan 9 11 12 13 12 11 8 8 9 11 12 13 14 14 14 13 13 13 12 11 11 12 13 13 13 12 10 9 9 10 10 10 9 8 7 8 9 11 12 12 9 8 8 7 7 7 8 10 13 15 13 12 12 11 12 12 13 13 14 13 12 12 13 17 21 21 19 16 12 11 12 12 11 11 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 nan
nan 10 11 12 12 12 11 9 10 11 12 13 14 15 15 15 14 13 11 8 6 6 9 12 14 15 14 12 11 11 11 10 9 9 9 9 10 11 13 14 13 11 11 10 8 8 8 8 10 14 15 14 12 11 10 11 12 12 13 14 13 13 14 16 20 22 21 18 14 11 11 11 11 10 9 8 8 7 7 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 7 6 6 5 5 6 6 7 8 9 9 9 9 8 nan
nan 10 11 12 12 12 12 12 12 13 14 15 16 16 16 16 16 14 12 9 6 6 9 13 16 18 16 14 13 11 9 8 7 7 8 10 11 13 14 14 14 13 12 11 9 8 8 8 12 15 15 14 12 10 10 11 11 12 14 14 14 14 15 17 17 16 15 14 11 11 11 10 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 7 6 5 5 5 6 6 7 8 9 9 9 9 8 nan
nan 11 12 13 13 13 14 14 15 15 16 17 18 19 18 18 18 18 17 15 11 11 12 14 18 19 17 14 11 8 7 6 6 6 7 9 10 12 12 13 14 15 14 11 10 9 8 10 13 14 14 13 10 9 10 10 11 13 13 13 13 13 14 14 12 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 8 7 6 5 5 5 6 6 7 7 8 8 9 8 8 8 nan
nan 11 11 12 13 14 15 17 17 18 19 20 22 23 22 22 21 21 21 19 16 15 15 16 18 16 14 11 9 7 5 5 5 5 6 8 9 9 10 11 14 15 15 14 12 10 9 11 12 13 13 12 10 9 10 10 11 12 12 12 12 12 12 11 9 8 8 7 7 8 8 7 7 7 7 7 6 6 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 5 6 6 6 7 7 8 8 9 8 8 7 7 nan
nan 11 10 10 11 13 15 17 17 17 19 22 26 28 28 27 25 23 22 20 18 17 16 16 15 14 12 9 7 6 5 5 5 6 7 7 8 8 9 11 13 16 17 15 13 11 10 10 11 11 12 11 10 10 10 10 11 11 11 10 10 10 10 10 9 8 6 4 4 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 7 6 6 5 nan
nan 11 10 10 11 12 13 13 14 14 15 19 25 29 31 31 30 28 26 23 20 17 15 14 13 12 11 9 7 6 6 5 5 6 7 7 7 7 8 10 12 16 17 16 14 11 10 9 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 9 9 8 5 3 4 4 4 5 6 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 5 3 -0 -2 -1 nan
nan 9 9 10 11 11 11 11 10 10 11 14 18 24 28 32 35 35 32 27 22 17 15 13 12 11 11 9 8 7 7 6 6 6 6 7 7 7 8 9 12 14 16 16 14 11 9 9 9 11 12 12 11 10 8 8 8 8 8 7 7 7 7 8 8 8 6 5 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 5 3 -0 -4 -7 -9 -9 nan
nan 7 8 9 10 10 10 9 9 8 8 10 13 17 22 29 35 37 35 29 22 17 13 11 10 11 11 10 10 9 7 6 6 6 6 7 7 8 8 9 11 13 14 15 14 11 9 9 10 12 12 12 11 9 8 7 7 7 7 7 6 7 7 7 8 8 7 7 5 3 2 1 0 0 1 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 6 4 0 -4 -7 -8 -7 -7 -6 nan
nan 5 6 7 9 9 9 9 8 6 5 6 9 13 18 25 31 34 32 27 21 16 12 9 10 13 13 13 12 10 8 7 7 7 7 8 8 9 10 10 11 11 12 14 14 12 11 10 11 12 13 12 11 9 9 8 8 8 8 7 6 6 6 7 7 8 8 7 5 2 -1 -4 -6 -6 -3 -1 1 2 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 8 7 7 5 2 -1 -5 -7 -7 -4 -1 2 3 nan
nan 3 5 7 9 9 9 10 8 4 0 1 5 10 15 21 25 28 27 23 19 16 13 12 13 15 15 15 14 11 9 9 8 7 7 9 10 10 11 11 10 10 11 13 13 12 12 11 12 12 13 12 11 10 10 10 9 9 8 7 7 6 6 6 7 7 8 7 5 2 -2 -6 -9 -8 -6 -5 -4 -3 -1 1 4 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 4 2 -1 -4 -6 -4 -1 3 6 8 8 nan
nan 4 6 8 10 10 10 10 8 3 -2 -3 1 6 12 18 21 22 21 19 17 17 16 16 16 16 16 16 15 13 11 10 8 7 8 10 11 11 11 11 9 9 11 12 12 13 12 11 12 13 13 12 11 10 10 10 9 8 7 7 6 6 6 7 8 8 8 7 6 4 1 -2 -3 -3 -3 -4 -6 -6 -4 0 4 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 5 4 2 0 -1 -2 -1 2 5 8 10 10 9 nan
nan 8 8 10 11 11 10 10 9 4 -1 -2 -0 4 11 16 18 17 16 15 16 18 18 18 17 17 17 16 16 15 13 11 9 9 10 11 10 10 10 9 7 9 11 12 13 13 12 12 12 12 12 11 11 10 9 8 7 6 5 5 5 6 7 9 10 10 9 8 7 6 5 5 5 4 3 1 -1 -1 1 2 5 7 7 8 9 8 7 7 8 9 9 8 8 7 7 7 6 6 5 4 3 3 2 1 1 2 5 8 10 11 11 10 nan
nan 10 11 11 11 11 11 11 10 7 4 3 3 6 10 14 15 13 12 13 15 17 17 17 18 17 17 16 16 16 14 12 10 10 10 10 9 9 9 7 6 8 9 11 14 14 12 12 12 11 11 10 9 9 8 8 6 4 4 4 5 6 9 10 11 11 10 9 8 8 8 9 9 9 8 7 7 6 6 5 5 4 3 2 1 0 1 2 5 8 8 8 8 7 7 7 6 6 6 6 5 5 5 4 3 4 6 9 10 11 10 10 nan
nan 11 12 12 11 11 11 12 11 9 8 7 8 9 11 12 12 11 11 13 14 14 14 15 17 18 17 16 16 16 15 14 12 11 9 8 8 8 7 5 5 6 8 12 15 14 13 12 10 10 10 9 8 8 8 8 7 6 6 6 7 8 9 10 10 11 11 10 9 10 11 11 11 11 11 11 11 10 8 6 3 -0 -4 -7 -9 -8 -5 -2 2 5 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 6 7 9 9 9 10 9 nan
nan 12 12 11 10 10 11 11 11 10 9 9 10 11 12 11 10 9 10 11 12 12 12 14 17 18 18 18 17 16 15 14 13 11 9 8 8 8 6 5 5 6 9 14 15 14 14 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 11 11 12 12 13 12 12 11 9 7 3 -2 -5 -8 -7 -5 -3 -1 -0 -1 -1 -0 1 4 6 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 9 9 nan
nan 11 11 10 9 9 10 11 11 10 10 10 11 11 11 10 9 8 9 9 10 10 12 14 16 18 19 19 18 16 15 14 14 12 11 10 9 7 6 7 7 7 11 15 15 15 13 11 11 11 10 10 9 9 10 10 11 11 11 10 10 9 8 8 8 9 9 9 10 10 10 11 12 13 13 12 12 11 10 8 5 3 2 2 3 3 4 2 -1 -4 -6 -5 -2 1 4 6 7 8 9 9 8 9 9 10 10 9 8 8 8 9 9 9 nan
nan 10 10 10 9 9 10 10 11 11 10 10 10 10 10 8 8 7 8 9 10 12 13 14 15 16 18 20 19 17 15 15 14 13 13 12 10 8 8 8 7 9 13 14 15 15 12 11 12 12 11 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 12 12 12 12 12 11 11 10 9 8 9 9 9 8 7 5 2 -0 -1 -1 1 1 2 3 4 6 7 8 9 10 10 10 11 10 10 10 10 11 11 11 nan
nan 10 10 10 9 9 10 10 10 10 10 10 10 10 9 8 7 7 8 10 12 13 13 12 13 15 17 19 18 17 16 15 15 15 15 14 12 10 10 8 8 10 13 15 16 16 13 13 12 11 11 11 11 12 12 12 11 11 10 9 10 10 10 11 10 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 8 7 8 7 6 5 4 3 3 4 6 9 11 12 11 11 12 12 12 13 14 15 15 15 nan
nan 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 7 8 10 12 13 13 11 11 13 15 17 18 16 16 15 16 17 17 18 17 14 13 11 9 9 11 14 17 20 18 16 14 12 10 11 11 12 12 11 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 11 11 10 11 11 10 10 9 8 6 6 9 11 12 12 11 10 10 11 12 13 14 17 18 19 17 nan
nan 10 10 9 9 9 9 9 10 10 10 10 10 9 8 7 7 9 12 13 13 10 9 10 13 16 17 16 15 14 15 16 18 19 19 18 16 15 12 11 12 14 17 21 23 20 17 13 9 9 11 11 12 11 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 10 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 11 12 11 8 4 2 3 4 6 8 11 14 16 18 18 19 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 7 7 9 11 12 12 10 9 11 13 15 15 15 14 14 15 16 18 19 19 18 17 15 14 13 14 16 20 24 24 21 17 12 9 10 11 11 12 11 10 10 10 10 10 10 9 8 8 8 7 6 6 7 9 10 11 11 11 11 11 10 10 11 12 12 12 12 13 12 12 12 11 11 11 11 10 10 10 10 10 11 11 8 4 -2 -6 -7 -5 -4 -2 1 4 7 9 12 15 18 nan
nan 9 9 9 10 9 9 9 9 9 10 10 10 10 9 8 7 9 10 12 12 11 11 12 13 14 14 14 14 14 15 15 17 18 18 18 17 16 15 15 15 17 20 23 23 22 18 13 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 6 7 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 11 11 10 10 10 10 10 10 10 9 8 5 1 -3 -4 -4 -3 -3 -4 -4 -4 -3 -0 3 7 11 nan
nan 9 9 10 10 10 9 9 9 10 10 10 9 9 9 8 9 10 12 13 14 13 13 13 13 13 13 14 14 13 13 14 15 16 17 18 18 17 16 15 15 16 19 21 23 23 21 17 14 12 10 11 11 12 12 12 10 9 8 7 6 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 6 5 5 6 6 5 3 1 -1 -4 -5 -4 -2 -0 1 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 9 9 11 12 13 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 13 15 16 17 18 18 17 15 16 17 20 22 24 22 20 17 13 12 12 12 12 12 11 9 8 7 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 4 3 2 1 0 -2 -3 nan
nan 9 9 10 10 10 10 10 9 8 8 9 10 11 13 14 14 15 15 14 13 13 13 13 13 13 13 13 13 12 11 9 8 8 10 12 15 17 18 18 17 17 18 20 22 24 23 23 21 18 16 15 13 12 11 9 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 6 3 1 nan
nan 10 10 10 10 11 11 10 9 9 9 10 12 14 15 15 15 14 13 13 12 12 12 12 12 12 12 13 13 12 10 7 6 5 6 7 10 12 14 16 18 19 19 20 22 23 24 25 24 21 19 16 13 12 11 10 9 10 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 9 9 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 6 nan
nan 11 10 10 11 11 11 10 10 10 10 12 14 15 14 13 12 12 11 11 12 12 12 12 12 12 12 13 13 13 11 8 7 6 5 5 5 7 9 13 16 18 20 21 21 22 24 24 23 21 19 15 13 14 14 13 12 12 12 12 13 12 12 12 12 11 11 11 10 9 9 10 10 10 10 10 10 10 10 9 8 9 9 10 10 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 9 9 nan
nan 12 11 11 12 12 11 11 10 11 12 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 11 9 8 7 6 5 5 6 8 12 16 18 20 21 23 24 24 22 20 18 16 16 17 15 13 12 12 12 12 12 12 12 12 12 11 11 10 9 9 10 11 10 10 10 9 9 8 8 7 7 7 8 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 nan
nan 12 12 12 12 12 12 11 11 11 12 12 12 11 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 12 11 10 9 8 8 7 5 4 6 9 12 15 17 20 22 23 23 22 20 19 18 17 16 12 11 10 11 11 12 12 11 11 12 12 12 11 10 10 10 11 11 10 9 9 8 8 7 6 6 7 8 9 10 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 nan
nan 12 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 14 14 13 12 10 8 9 9 8 7 5 5 6 8 11 13 16 19 21 22 22 20 19 18 15 12 9 9 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 10 9 9 8 7 7 7 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 14 14 14 14 13 11 9 9 9 9 8 7 6 6 7 8 9 12 15 18 20 20 19 19 18 15 12 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 10 9 9 8 7 7 8 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 nan
nan 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 13 14 15 15 13 12 11 9 9 9 9 9 8 7 7 7 8 9 11 14 15 16 17 19 20 19 17 15 13 11 11 12 12 12 13 14 13 12 11 11 11 11 10 10 9 9 8 8 8 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 nan
nan 11 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 13 14 14 13 12 11 10 9 9 9 9 9 9 9 9 8 9 10 11 11 12 13 17 21 23 23 21 18 15 14 13 13 14 15 15 13 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 12 12 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 10 12 15 19 22 22 21 19 18 17 16 15 14 13 12 11 11 11 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 12 12 13 13 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 10 9 8 8 8 8 10 13 16 16 17 17 17 16 15 13 12 13 13 14 12 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 12 12 13 13 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 8 8 7 6 6 7 8 9 9 10 10 11 12 12 12 13 15 16 15 13 11 10 9 9 10 9 10 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 10 9 10 9 9 10 10 10 10 10 10 nan
nan 11 11 11 11 12 12 13 13 12 12 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 8 8 8 8 8 7 7 6 5 5 5 5 6 7 8 8 9 13 16 16 16 15 12 11 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 11 11 11 11 11 11 11 10 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 nan
nan 11 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 5 4 4 5 5 4 5 9 11 13 17 18 17 16 13 10 10 10 11 11 10 10 9 8 8 8 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 0 0 0 0 0 0 0 0 0 0 0 0 5 36 102 197 293 336 340 323 294 255 213 188 179 166 137 100 96 112 137 156 162 152 145 153 169 172 152 134 131 136 137 130 111 88 69 58 50 38 31 25 19 14 11 9 11 44 124 260 445 558 615 645 683 914 886 826 835 829 722 710 680 635 596 609 519 543 552 512 437 471 416 385 404 451 500 547 586 625 665 714 809 914 1016 1107 1181 1240 1298 1328 1326 1325 1331 1301 1228 1117 988 865 757 663 585 520
2 1 0 0 0 0 0 0 0 0 0 0 0 3 23 74 170 270 328 350 347 330 293 245 207 182 162 137 113 114 135 166 200 221 206 196 203 223 230 202 178 168 165 160 156 140 119 99 83 72 59 46 34 24 14 13 11 9 17 44 129 267 401 497 556 566 766 811 726 666 786 718 690 667 608 481 554 541 501 475 523 470 440 403 375 397 450 495 534 574 621 671 746 843 946 1037 1104 1167 1231 1278 1279 1243 1244 1234 1193 1111 978 856 740 636 552 487 431
4 3 1 0 0 0 0 0 0 0 0 0 0 1 7 21 112 208 288 342 362 350 316 277 247 227 200 173 145 133 146 182 230 249 242 226 218 239 255 243 221 200 186 176 169 158 142 125 103 86 72 57 44 35 22 15 12 11 12 18 68 156 265 380 515 532 615 724 783 566 676 721 682 600 618 491 492 518 494 379 443 443 410 369 350 398 448 490 527 562 605 663 745 845 952 1044 1101 1168 1232 1252 1208 1177 1160 1132 1068 963 838 719 612 524 458 405 359
8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 5 50 117 195 271 309 303 293 290 293 286 255 222 190 173 178 214 259 280 275 248 214 236 266 279 264 223 199 186 179 173 166 142 126 108 91 73 54 42 26 16 10 11 14 14 36 86 169 274 433 515 543 556 753 573 563 635 679 508 531 519 499 482 504 389 377 387 392 358 366 405 441 471 511 543 584 646 733 842 947 1023 1092 1160 1213 1191 1135 1087 1046 997 907 794 679 575 492 428 379 333 289
10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 2 17 47 92 147 183 205 222 241 271 280 271 256 239 224 230 264 297 313 299 262 219 221 249 281 287 237 213 206 202 190 202 199 180 158 138 115 95 73 50 31 15 13 14 16 26 48 122 195 311 447 569 446 562 593 556 489 682 577 528 509 498 392 424 390 345 318 379 357 367 396 427 428 483 525 571 631 708 804 896 981 1055 1117 1130 1087 1025 958 891 813 717 621 530 443 384 338 300 261 220
9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 3 9 20 40 74 107 129 142 160 199 222 235 246 255 247 259 290 318 328 305 272 230 203 200 233 264 237 225 234 255 212 212 211 206 196 176 154 137 119 95 66 39 24 18 20 33 42 102 168 241 322 532 481 511 582 639 402 565 607 558 462 520 391 348 339 331 218 297 333 353 369 420 425 451 487 526 581 659 753 852 939 992 1035 1024 963 871 787 708 623 539 460 396 332 288 257 233 205 165
9 6 3 2 1 1 0 0 0 0 0 0 0 0 2 7 14 16 31 54 77 90 94 119 142 162 184 212 251 277 302 312 314 302 287 270 242 207 180 220 233 233 232 245 274 235 210 196 192 197 183 173 161 146 131 93 62 43 32 20 35 48 85 152 240 239 396 451 424 376 576 444 459 547 625 406 448 395 335 307 348 254 251 289 339 353 369 374 401 438 461 531 616 702 785 878 926 926 891 817 676 597 526 457 390 331 287 242 209 188 173 146 114
8 5 3 1 1 2 1 0 0 0 0 1 2 4 8 15 24 28 40 58 78 94 112 107 106 115 143 194 248 289 303 299 298 260 251 243 223 191 182 205 218 220 218 227 225 200 174 153 143 157 165 177 186 170 143 106 72 48 42 23 28 39 63 111 221 220 269 336 389 243 390 423 402 388 638 499 413 365 360 301 308 264 229 242 309 331 346 355 363 404 429 483 559 645 714 799 848 801 689 639 528 441 376 327 279 241 206 171 142 125 109 92 73
9 4 2 2 2 2 1 0 0 0 0 3 10 14 17 21 29 39 54 74 95 106 105 91 82 89 119 168 215 253 271 264 249 229 214 196 175 168 167 170 174 175 174 178 165 140 117 101 95 102 111 128 165 156 134 107 76 35 24 13 12 21 40 68 139 177 196 218 370 294 282 323 395 271 438 476 400 280 343 306 275 236 209 239 278 295 311 322 302 348 386 428 485 582 654 692 721 716 557 464 385 314 255 226 192 161 133 105 82 65 53 45 38
14 8 5 4 4 2 2 1 0 0 0 2 8 14 17 22 36 60 86 105 117 123 114 95 84 92 123 157 182 199 214 213 201 189 174 153 136 137 141 147 149 134 129 129 129 127 108 86 79 78 73 59 81 87 86 83 77 31 11 2 1 5 21 41 76 123 173 154 255 264 211 156 316 284 326 374 363 216 256 250 230 204 171 212 237 242 233 254 257 279 318 373 418 530 609 611 550 564 442 332 256 210 167 146 120 94 72 51 36 24 15 14 17
21 16 12 9 6 5 4 2 1 0 0 0 6 15 19 24 40 69 100 123 131 128 115 100 96 110 145 181 206 208 193 180 165 151 136 125 120 116 117 123 127 113 104 94 87 89 91 80 73 72 72 55 49 45 44 48 50 25 8 2 4 1 11 25 41 67 134 144 165 180 175 86 177 229 270 301 309 246 237 216 177 182 161 163 175 183 161 180 197 213 240 313 364 432 503 519 401 364 289 211 151 122 99 82 66 51 36 19 11 9 8 9 13
32 28 24 18 13 10 7 4 2 0 0 1 5 13 18 23 40 64 86 97 108 126 128 116 111 122 148 176 192 189 180 169 149 123 102 95 98 100 98 97 93 88 88 88 76 70 64 57 52 50 55 54 52 43 35 33 27 16 5 0 0 1 6 15 29 39 91 129 134 113 124 93 113 151 199 268 267 238 222 220 155 148 138 132 138 151 147 146 153 164 174 243 309 344 346 334 264 206 151 107 77 57 43 31 21 16 8 3 2 5 8 10 12
44 42 38 27 21 15 10 6 2 1 0 2 9 18 20 31 51 72 84 101 121 143 152 142 131 127 135 149 160 163 164 155 132 95 62 50 52 54 46 43 40 37 39 46 50 50 49 44 39 32 37 45 46 36 34 32 24 12 3 0 1 1 2 8 23 35 61 103 131 90 75 67 72 84 84 181 238 237 191 199 169 145 131 129 133 130 119 109 108 116 140 190 233 242 224 181 134 93 61 41 26 16 10 6 0 0 0 0 1 3 4 6 8
60 55 49 35 24 16 9 6 3 2 2 6 18 29 36 55 83 101 92 116 152 178 181 162 140 128 125 125 124 127 134 131 111 75 36 15 9 12 9 7 6 6 6 7 9 14 17 17 16 14 21 33 38 22 24 28 22 9 4 2 1 0 1 2 11 19 31 51 74 56 47 42 43 62 74 119 184 232 193 187 177 159 138 127 118 104 85 71 74 94 116 133 135 119 101 73 47 32 18 8 2 1 1 0 0 0 0 0 0 2 3 5 7
75 65 54 41 29 19 11 8 6 7 13 24 37 49 64 85 109 107 101 124 159 186 189 165 138 117 106 102 101 107 111 105 85 53 24 6 1 0 1 0 0 0 0 1 1 1 1 2 1 2 6 13 19 16 16 20 23 21 22 19 10 1 0 1 2 7 16 25 26 27 31 41 45 54 68 89 126 179 180 181 164 140 111 93 80 69 61 63 79 95 98 84 58 39 26 14 7 3 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9
100 80 64 50 38 27 21 17 18 24 35 50 58 68 81 93 106 100 104 122 148 169 169 151 131 115 108 100 98 97 92 76 55 32 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 7 12 23 50 41 16 3 0 0 0 1 2 5 7 8 14 29 38 48 54 58 69 88 100 105 99 84 66 52 46 46 44 50 53 47 37 27 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 9
111 95 77 63 53 43 38 35 37 46 54 61 70 77 84 89 93 96 107 127 147 149 138 125 115 112 127 125 113 92 68 39 23 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 1 3 1 0 0 0 0 0 1 1 1 2 7 11 23 30 24 21 22 24 27 28 25 23 22 24 27 24 17 10 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10
50 54 59 66 65 65 64 63 65 75 77 78 79 79 84 93 102 113 123 131 143 131 117 106 103 113 138 135 107 66 38 15 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 9 9 4 3 4 2 2 1 2 3 3 3 4 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 11 13
6 11 22 44 57 65 73 86 101 98 98 98 94 87 92 97 101 104 105 112 120 120 116 108 103 104 99 82 51 21 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 1 3 8 11 12 13 14
2 2 5 14 19 22 27 35 49 67 81 92 99 100 103 101 95 87 77 85 101 116 122 116 115 104 82 49 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 13 15 19 22
2 3 3 4 3 4 4 4 8 13 25 40 56 67 81 93 96 87 86 98 113 124 125 113 102 85 60 26 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 9 19 26 30
4 3 3 3 3 3 4 4 4 4 4 5 13 20 24 34 62 72 90 111 129 133 123 105 83 58 33 12 5 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 8 16 23 28 31
5 5 4 4 4 4 4 4 3 3 4 3 4 6 7 8 14 30 51 78 107 118 114 97 73 46 22 12 10 10 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 19 25 29 29
7 6 6 6 6 7 7 6 5 4 3 4 3 3 4 5 5 7 13 27 60 86 100 94 67 38 24 20 21 23 24 19 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 13 17 22 26 29 31 29
9 8 7 7 6 6 6 6 6 5 5 4 3 3 4 4 5 4 4 6 25 50 77 91 69 48 36 32 33 35 34 27 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 9 12 16 19 24 27 29 30 34 35
10 9 8 8 8 7 7 7 6 6 6 6 6 6 5 4 4 4 3 3 7 20 40 64 65 56 46 41 41 43 40 30 15 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 9 12 14 16 19 20 22 23 24 26 27 28 26
11 11 11 12 10 9 8 7 6 6 6 6 6 7 6 5 4 3 3 3 3 7 17 36 52 57 55 52 51 47 37 21 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 5 8 10 12 15 18 21 23 22 21 20 21 22 20 16 13
12 12 14 13 12 10 9 8 8 7 6 5 3 6 6 5 4 3 2 3 3 4 9 21 42 57 60 59 56 50 39 23 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 7 9 11 13 14 16 18 19 19 18 16 14 14 14 11 7 4 5
14 14 14 13 12 11 10 10 9 8 7 6 5 6 6 5 4 4 3 3 3 3 5 16 33 52 69 81 86 73 39 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 3 4 5 7 11 15 18 21 22 22 21 19 17 15 11 9 8 8 8 7 5 3 1 1 2
16 16 15 15 14 13 12 11 10 9 7 7 6 6 6 6 5 5 4 4 4 3 2 7 21 45 77 78 54 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 2 3 5 7 9 12 15 20 25 30 31 31 29 24 19 14 8 3 2 2 3 2 2 2 1 2 3 4
16 17 17 17 16 16 15 13 11 10 9 8 7 6 6 7 6 5 5 5 4 4 4 5 13 29 50 43 20 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 1 2 3 5 8 10 13 17 20 24 27 30 31 31 28 23 17 12 8 5 3 2 3 4 3 2 2 1 1 0
18 18 17 18 18 18 17 14 12 11 10 9 8 7 6 6 5 5 5 6 5 5 4 3 3 6 10 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 3 2 2 2 4 5 7 10 14 18 20 23 26 29 28 27 24 20 15 11 8 5 3 2 3 4 4 3 3 3 2 1
19 18 18 19 20 21 21 19 16 14 12 11 10 8 7 5 4 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 3 2 2 3 5 7 9 12 16 19 21 23 24 24 22 20 17 14 10 7 5 3 3 3 3 4 5 4 3 2 0
20 19 19 20 22 24 26 27 22 19 17 15 15 12 9 6 4 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 1 1 2 2 3 4 4 4 3 3 3 3 3 3 4 5 6 9 12 14 16 18 19 19 18 17 15 13 11 9 7 6 5 5 5 6 6 6 5 2 1 1
23 21 22 23 24 24 24 23 23 23 22 22 21 17 14 10 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 6 5 5 5 5 5 5 6 7 8 10 11 13 14 15 15 15 14 13 12 11 10 10 9 8 7 7 7 8 8 8 7 6 4 3 2
26 25 25 24 23 21 20 19 19 19 20 20 19 17 15 13 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 7 7 6 6 6 6 7 7 7 8 8 8 9 10 12 13 14 15 14 14 13 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 7 6
20 20 20 20 19 18 17 17 16 16 17 18 18 17 15 13 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 8 8 8 8 7 7 8 8 8 9 10 10 11 12 12 13 15 15 15 14 13 12 10 9 8 8 8 8 7 7 7 8 9 9 9 10 10 8 6 4 5
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