Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 7 7 7 7 8 10 12 13 14 15 15 15 13 11 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 13 13 14 14 14 14 15 16 17 18 21 23 24 25 26 26 25 23 21 19 17 16 16 16 15 15 15 14 13 12 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 11 11 12 12 11 11 10 9 8 7 6 5 4 4 5 7 8 11 13 14 16 16 16 15 15 14 12 11 9 8 6 6 6 7 9 11 14 16 17 17 17 16 15 14 13 13 13 13 14 15 16 17 18 19 20 20 20 21 21 22 22 23 23 22 21 20 18 15 11 7 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 13 14 15 15 16 16 17 17 17 17 17 17 17 16 15 14 13 12 12 11 11 11 10 9 9 9 8 8 8 8 8 9 9 10 10 11 10 10 10 10 10 9 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 9 8 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 5 5 6 6 6 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 10 13 16 17 16 14 12 10 10 9 10 10 11 12 13 12 10 9 9 9 10 12 13 14 14 13 11 8 7 7 9 10 10 8 6 6 5 6 7 nan
nan 7 7 7 8 8 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 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 8 7 7 7 8 9 9 8 7 7 7 8 9 10 11 13 13 14 14 14 13 12 10 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 14 15 15 15 16 17 19 21 23 25 26 27 27 27 27 25 24 22 21 19 18 18 17 16 15 14 13 12 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 11 11 10 9 8 7 5 4 4 4 5 7 9 11 14 16 17 17 17 16 15 14 13 11 10 8 7 6 6 7 9 11 14 16 18 18 18 17 16 15 14 14 14 14 15 15 16 16 17 17 17 18 18 18 18 18 18 18 19 19 18 18 16 14 11 8 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 15 16 16 17 18 18 18 18 18 18 18 18 17 16 15 14 13 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 13 13 12 12 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 9 8 7 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 8 8 9 9 8 7 6 6 5 5 6 6 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 11 14 16 16 14 13 11 10 10 9 9 10 11 12 12 12 10 10 10 11 12 13 13 13 12 11 9 8 8 9 9 9 8 6 5 5 7 8 nan
nan 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 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 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 9 9 8 7 7 7 9 10 11 13 13 13 13 13 12 11 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 16 16 16 17 18 20 22 24 27 28 29 29 29 29 28 26 25 23 22 20 19 18 17 16 14 13 12 11 11 10 9 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 12 12 12 11 10 9 8 7 5 4 3 3 4 6 9 12 14 16 18 18 17 17 16 14 13 12 10 8 7 6 6 6 9 12 14 17 19 19 19 18 17 16 15 15 15 15 15 16 16 16 16 17 17 17 17 17 17 16 16 16 15 15 15 15 14 13 12 10 8 6 5 5 5 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 13 13 14 14 15 15 16 16 17 17 17 18 18 18 19 19 19 18 18 17 17 16 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 12 13 13 13 12 12 11 11 10 9 8 8 8 9 9 9 10 10 9 9 9 9 9 8 7 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 5 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 11 13 15 15 15 13 12 11 10 10 9 9 10 11 13 13 12 12 12 12 12 13 14 14 13 11 10 9 8 8 8 8 7 6 6 7 9 10 nan
nan 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 10 10 10 11 10 10 10 10 10 9 8 7 7 8 8 9 9 8 7 7 7 8 9 11 12 13 13 13 12 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 15 16 16 17 17 17 18 20 23 25 27 29 30 30 30 29 29 27 25 23 22 20 19 18 17 16 14 13 12 11 10 9 8 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 10 10 10 9 9 9 8 8 9 10 11 12 12 12 11 11 10 8 7 5 4 3 3 4 6 9 12 15 17 19 19 18 17 16 14 13 11 10 9 7 6 6 7 8 12 15 18 19 20 20 19 18 17 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 16 16 15 14 14 14 14 14 13 13 12 10 9 8 7 6 6 6 6 6 7 8 8 9 9 9 10 10 9 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 14 14 15 15 16 16 16 17 17 17 17 17 18 18 18 18 18 17 17 16 16 15 15 14 14 13 12 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 8 8 8 9 9 10 10 10 11 11 12 13 13 13 13 12 12 11 11 10 9 9 8 8 8 9 10 10 10 9 9 9 8 8 8 7 6 6 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 9 9 8 8 8 9 10 12 13 14 14 13 12 11 11 10 10 10 10 11 13 14 14 14 13 13 13 13 14 14 13 12 11 9 8 8 8 7 7 8 9 10 11 11 nan
nan 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 11 12 12 13 12 12 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 13 14 15 16 17 17 17 17 17 18 19 21 23 25 26 27 27 27 26 25 23 21 19 18 17 16 16 15 14 13 12 11 10 9 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 10 9 9 9 8 9 9 10 11 12 13 13 12 11 10 9 7 5 3 2 3 4 7 10 13 16 18 19 19 18 16 15 14 12 11 10 8 7 6 6 7 9 12 16 18 20 21 21 20 19 18 18 18 18 18 18 18 18 18 18 18 19 19 18 18 18 18 17 16 16 15 15 15 15 15 16 15 15 13 12 10 9 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 13 13 13 14 14 15 15 15 15 16 16 16 16 16 16 17 16 16 16 16 16 16 16 15 15 14 14 14 14 13 13 12 12 11 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 11 12 12 13 13 13 13 12 12 11 11 10 10 9 8 8 8 9 10 10 10 9 9 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 8 8 8 9 10 12 13 13 13 12 11 10 10 10 10 10 11 13 14 14 14 14 13 13 13 14 14 14 13 11 10 9 8 8 8 9 10 11 11 11 9 nan
nan 11 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 7 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 8 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 7 7 6 7 7 9 10 12 12 13 12 12 11 10 9 8 7 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 14 15 16 17 17 17 17 17 17 17 17 18 18 19 20 20 20 20 19 17 16 15 14 13 13 12 12 12 12 11 10 9 8 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 11 12 13 13 12 11 10 9 7 4 3 2 3 4 7 11 14 17 19 19 19 18 16 15 13 12 10 9 8 7 7 6 8 10 13 17 20 22 22 23 22 21 20 20 20 20 19 19 19 19 19 20 20 20 20 20 20 19 19 19 19 18 18 18 18 18 19 19 19 20 19 17 16 15 13 12 11 11 12 13 13 12 13 13 12 12 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 15 15 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 13 13 12 12 12 11 11 11 11 10 10 9 9 9 9 9 10 10 9 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 12 13 13 13 13 13 12 12 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 11 10 9 9 8 8 8 8 9 10 11 12 12 11 11 10 10 10 9 10 11 12 13 14 14 14 13 12 12 12 13 13 13 12 10 9 9 9 10 10 11 11 11 9 6 nan
nan 12 11 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 9 9 8 8 8 7 7 6 6 6 7 9 10 11 11 11 10 10 9 8 8 8 8 8 8 7 7 6 6 7 8 10 12 12 13 13 12 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 14 15 17 18 18 18 18 17 16 16 15 15 14 14 13 13 13 12 12 11 10 10 10 9 9 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 11 10 8 6 4 2 2 3 5 8 12 16 18 20 20 19 18 16 14 13 11 10 9 8 7 7 7 9 12 15 18 22 24 25 25 24 24 23 22 22 21 21 20 20 20 20 21 21 22 22 22 22 21 21 21 21 21 21 21 21 21 22 22 22 22 23 22 21 20 18 16 16 15 15 15 15 14 14 13 13 12 12 11 11 11 11 12 12 12 12 13 13 14 14 15 15 16 16 16 16 16 16 16 15 15 15 15 14 14 14 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 12 12 12 12 12 11 11 10 9 9 8 8 8 8 9 10 11 11 10 10 9 9 9 8 9 10 10 12 13 13 13 12 11 11 11 12 12 12 12 11 10 10 11 11 11 11 10 9 7 5 nan
nan 12 11 11 10 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 6 6 5 5 5 5 5 5 6 6 6 7 7 8 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 9 9 10 10 10 10 9 9 8 8 7 7 6 5 6 6 7 9 10 11 11 11 10 9 9 8 8 8 8 8 7 6 6 6 7 8 9 11 12 12 12 12 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 12 12 13 13 14 15 16 18 18 18 18 17 16 16 15 14 13 12 10 10 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 11 10 8 6 3 2 1 3 6 9 12 17 19 21 21 19 18 16 14 12 11 10 8 8 8 8 9 10 13 18 21 24 26 27 27 26 26 25 24 23 22 22 21 21 21 21 22 22 23 23 23 23 23 22 22 22 22 21 22 21 22 22 22 22 22 23 23 23 22 21 20 19 18 17 16 16 15 14 13 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 15 16 16 16 16 16 15 15 15 14 14 14 13 13 13 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 12 11 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 7 7 6 6 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 6 6 6 7 7 7 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 12 12 11 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 11 12 12 12 11 10 10 10 11 12 13 12 11 11 12 12 12 11 10 9 7 6 5 nan
nan 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 6 5 4 4 4 4 4 5 5 6 6 7 8 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 10 10 9 9 8 8 7 7 6 6 6 7 8 9 10 11 11 10 9 9 8 8 8 8 8 7 6 6 6 6 8 10 11 12 12 12 12 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 12 12 13 14 15 16 16 17 17 17 17 16 16 15 14 13 12 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 10 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 11 10 8 6 3 1 1 2 6 10 14 18 21 21 21 19 17 15 13 11 10 9 8 8 7 8 10 13 16 20 24 27 28 29 29 28 27 26 25 24 23 22 21 21 21 21 21 22 22 22 22 22 22 22 22 21 21 21 20 20 20 20 20 20 20 19 20 20 21 20 20 19 18 17 16 15 14 13 13 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 15 15 15 15 16 15 15 15 14 14 14 13 13 13 12 12 12 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 6 6 6 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 8 7 8 8 8 9 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 8 7 7 8 8 9 9 9 8 9 8 8 8 8 8 9 10 11 11 11 11 10 10 11 12 13 14 13 12 11 11 12 11 10 9 7 7 6 6 nan
nan 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 6 5 4 3 3 3 4 4 5 6 7 8 8 9 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 7 7 7 8 9 9 10 10 10 9 9 8 8 8 8 7 7 6 6 6 6 7 10 11 12 13 13 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 14 15 15 16 16 16 15 15 14 13 12 11 11 10 9 9 9 9 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 12 12 13 12 10 8 5 3 1 1 2 6 11 16 19 22 22 21 19 17 15 13 11 10 9 8 8 8 9 12 16 19 24 28 30 31 30 29 28 26 25 24 23 22 21 20 19 19 19 19 19 20 20 20 20 20 19 19 19 19 18 18 17 17 17 17 16 16 16 16 16 16 16 17 17 17 16 15 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 8 8 7 7 6 6 5 5 5 5 5 6 6 6 7 7 8 8 9 10 10 11 10 10 9 9 8 8 8 7 7 7 8 8 9 9 10 10 10 11 11 12 12 12 12 12 11 11 10 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 11 10 10 11 12 13 14 15 14 12 10 9 8 7 6 5 5 6 7 7 nan
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nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 14 15 15 14 14 14 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 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 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 17 16 17 17 17 17 17 18 18 18 18 18 18 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 17 17 16 16 16 16 17 17 16 16 17 17 17 17 17 17 16 16 17 17 16 16 17 17 17 17 16 16 17 17 16 17 17 16 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 14 14 15 14 14 15 14 14 14 13 13 12 12 12 12 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 12 11 11 11 11 10 10 10 10 10 9 10 nan
nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 15 14 14 14 14 14 14 14 14 14 14 15 15 14 14 15 15 15 14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 12 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 13 14 14 13 14 14 14 14 14 14 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 13 13 12 12 12 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 14 14 15 15 15 15 15 15 16 16 16 16 16 16 17 17 16 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 14 14 14 13 13 13 13 12 11 11 11 11 11 12 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 13 13 13 13 13 11 11 11 11 11 10 9 9 9 9 9 nan
nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 14 15 14 14 15 15 15 15 14 15 15 15 14 15 15 14 14 15 15 15 15 15 15 15 15 15 15 15 15 14 14 15 14 14 14 14 14 14 14 14 14 14 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 15 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 nan
nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 14 14 14 15 14 14 15 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 14 13 14 14 14 14 14 14 14 14 14 14 15 15 15 14 14 14 14 14 14 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 14 14 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 16 16 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 19 18 19 19 19 19 19 19 19 19 19 19 19 19 19 19 18 19 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 17 17 17 17 17 17 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 13 14 14 13 14 14 14 14 15 15 14 14 14 14 14 14 14 13 12 12 12 12 12 11 10 10 10 10 10 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 5 5 5 6 7 8 9 9 10 11 12 11 11 11 11 11 11 11 11 11 10 9 7 6 6 5 6 7 7 8 8 7 9 12 16 19 22 23 23 24 24 24 24 26 28 31 34 38 41 45 47 50 51 52 52 54 59 67 74 81 85 88 90 91 92 93 91 88 84 77 71 65 60 61 66 70 74 79 85 94 105 118 132 143 145 137 122 104 89 76 66 56 47 40 37 38 41 42 44 45 42 41 43 48 52 55 57 57 57 58 58 58 57 54 49 43 36 29 22 20 18 19 21 24 26 28 30 30 30 28 24 19 15 13 13 14 14 15 16 18 20 21 23 24 26 28 29 30 32 33 35 37 40 43 45 49 54 60 63 65 67 69 72 75 78 79 81 84 88 94 101 109 120 129 139 150 154 157 162 171 173 179 187 195 201 209 219 238 266 298 321 330 337 345 355 368 381 393 405 416 426 434 436 428 406 368 309 272 245 226 221 218 215 227 246 267 293 314 333 349 364 372 378 378 369 357 332 296 258 220 195 177 160 145 131 121 113 106 108 115 128 149 176 205 227 246 277 288 284 285 285 282 280 274 264 275 287 291 289 299 307 307 298 284 270 263 260 255 241 227 211 199 191 189 176 154 134 123 115 107 100 96 92 88 82 75 68 60 56 56 58 60 59 58 59 64 74 75 69 58 49 42 39 41 48 59 73 89 103 109 107 102 97 91 84 74 62 52 43 34 25 18 15 15 18 22 24 26 26 25 24 21 17 13 10 9 10 10 7 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 1 2 5 5 7 8 8 6 0 0 1 2 7 15 16 16 15 11 9 9 7 4 4 8 18 26 32 33 28 21 12 6 2 0 0 0 0 0 0 0 0 0 1 3 5 9 13 17 17 16 14 14 14 13 13 13 11 10 8 5 2 0 1 0 0 1 2 2 2 1 2 3 2 2 1 2 2 3 4 7 9 11 14 18 18 16 15 14 13 11 9 6 5 5 6 6 6 6 7 10 13 14 14 12 11 12 13 14 17 18 18 16 13 11 11 11 12 13 15 16 17 18 20 22 22 22 25 25 24 22 20 19 19 18 18 18 17 16 16 15 16 16 16 17 18 18 19 19 19 18 17 16 15 12 11 10 8 5 2 1 0 0 0 0 0 0 1 1 2 3 5 6 8 9 11 14 14 13 11 8 7 6 4 3 2 2 2 2 2 4 10 21 28 31 29 23 18
4 4 5 5 5 6 7 8 8 10 10 11 10 8 9 9 10 10 9 9 8 7 6 5 4 4 3 3 4 4 5 4 4 5 9 14 20 23 24 23 22 21 21 21 21 23 24 28 31 34 37 41 43 46 46 47 50 56 63 69 74 78 81 83 84 85 86 85 82 73 65 62 58 55 58 63 67 73 80 88 98 109 123 138 148 147 137 122 104 89 76 65 54 45 41 37 36 40 43 43 42 41 41 45 51 56 58 58 58 58 58 57 55 53 50 45 36 29 21 17 14 14 16 18 21 23 27 30 28 26 24 20 16 13 13 13 14 14 15 16 18 20 21 23 25 27 28 29 30 31 33 35 37 41 45 48 52 58 64 69 71 73 75 76 77 79 80 83 86 92 98 104 115 122 126 134 142 149 155 164 170 174 182 192 199 205 210 218 232 255 285 316 336 345 348 354 363 371 384 397 408 416 421 421 416 384 338 282 249 234 224 216 209 210 220 241 268 289 309 330 349 359 364 363 352 339 325 307 282 257 228 199 178 162 146 134 128 127 126 129 140 158 188 222 258 266 274 283 293 299 306 313 311 303 295 290 292 302 303 305 305 309 309 304 290 272 259 254 251 243 234 223 208 195 188 181 161 139 121 114 107 101 97 93 89 83 76 68 60 50 48 51 55 55 55 55 58 64 68 64 54 44 36 34 36 42 52 65 81 96 104 106 98 93 89 83 73 60 49 41 34 26 19 15 14 16 20 23 25 26 25 24 22 17 12 7 6 7 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 3 2 1 0 0 0 2 6 9 9 7 5 6 6 5 4 3 4 10 16 22 25 25 19 10 3 1 0 0 0 0 0 0 0 1 2 3 5 8 11 15 15 14 12 10 10 9 9 9 10 10 8 6 5 3 1 1 0 0 0 1 1 2 3 4 4 2 1 1 1 2 3 4 7 9 11 15 22 21 17 14 13 12 10 8 6 4 5 5 4 3 4 5 8 11 13 13 11 12 13 13 14 18 20 19 16 13 11 12 13 14 14 15 15 14 15 17 19 19 20 23 24 25 23 22 20 20 19 19 18 17 16 16 15 16 16 17 18 19 19 20 20 20 20 19 18 16 14 12 11 9 6 4 1 0 0 0 0 0 0 1 1 2 3 4 4 6 8 10 13 13 11 9 8 6 5 4 3 2 1 0 0 2 7 15 21 25 24 21 17 15
4 4 4 5 5 6 6 7 8 8 8 8 8 7 8 8 9 9 8 7 7 6 6 4 4 3 3 3 3 3 3 4 4 6 9 14 18 21 23 23 23 22 21 19 20 20 21 23 25 27 29 30 34 36 39 42 45 51 58 62 67 72 76 79 80 79 78 75 69 61 57 56 54 54 56 60 64 70 79 90 101 115 130 145 156 150 139 123 106 89 75 64 54 47 43 40 38 40 41 41 41 41 43 47 55 58 60 61 60 58 56 52 49 46 43 37 29 24 21 18 16 16 16 17 19 22 25 25 23 21 18 15 13 12 12 13 14 14 15 17 19 20 22 23 24 27 29 29 29 32 34 36 38 42 46 50 54 59 65 71 73 77 79 80 81 84 87 91 95 102 101 104 110 117 122 129 135 144 152 158 160 164 170 177 189 198 205 214 226 247 277 317 339 350 353 354 359 367 379 389 398 403 404 394 373 344 305 264 237 223 219 214 211 213 218 247 281 304 317 333 348 360 360 351 336 319 308 294 282 273 249 221 196 176 162 152 145 142 145 165 186 208 241 262 284 299 295 296 296 298 301 304 305 304 299 296 293 294 297 298 302 306 307 303 293 278 262 252 245 242 236 227 212 197 187 181 169 143 123 112 107 101 97 94 90 84 77 70 63 53 44 45 49 51 52 52 56 61 65 61 52 41 33 28 31 38 47 59 75 91 101 103 99 92 86 81 72 57 45 38 32 25 18 14 13 15 19 23 25 26 25 24 21 17 12 7 3 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 4 9 14 14 8 4 1 0 0 0 0 0 0 0 0 2 3 6 9 13 15 17 13 10 8 7 7 7 7 7 7 8 6 5 4 2 0 0 0 0 0 1 2 2 3 4 3 1 1 1 1 1 2 5 8 10 13 17 18 17 15 12 10 9 7 6 5 4 4 5 4 3 3 4 6 8 9 9 9 11 12 13 16 20 22 21 17 13 10 10 11 13 14 14 13 12 13 15 15 16 19 22 25 27 25 23 22 21 21 19 18 17 16 15 15 16 17 17 18 19 20 21 21 21 21 20 19 17 15 13 11 10 8 5 1 0 0 0 0 0 0 0 1 2 3 3 4 4 6 8 11 12 11 9 7 6 5 4 3 2 2 2 1 1 6 12 18 20 15 12 11 12
4 4 4 4 4 5 6 6 6 7 7 7 8 7 7 8 8 7 7 6 6 6 5 5 4 3 3 3 3 3 5 7 9 10 13 15 17 19 20 20 21 21 21 21 21 20 20 21 21 22 23 25 28 30 33 37 42 47 52 57 62 67 72 75 76 74 69 64 59 56 54 53 52 51 52 55 61 69 81 93 107 120 133 146 154 150 138 124 108 92 77 65 56 51 47 43 41 41 41 41 43 48 50 54 57 59 60 60 59 56 52 47 42 38 34 28 24 21 20 20 20 18 17 17 18 20 20 20 18 15 13 12 12 12 13 14 14 14 15 17 19 21 22 23 24 27 28 29 30 32 35 37 38 41 45 47 49 54 59 63 66 72 79 83 84 88 94 98 100 100 101 105 110 116 122 129 137 144 151 153 154 154 156 162 171 181 192 203 213 231 268 305 327 343 349 352 359 370 375 378 384 381 368 347 319 297 273 245 229 230 234 235 245 255 266 286 309 327 339 348 355 360 361 349 333 321 317 316 315 303 281 253 219 194 177 166 160 163 175 204 225 251 269 279 291 298 299 301 305 302 300 303 307 307 303 297 291 292 294 297 304 308 306 302 298 285 269 254 245 243 235 224 209 191 179 173 166 148 128 115 107 101 96 93 90 86 81 72 64 53 41 43 48 49 50 51 56 62 66 63 51 39 29 24 29 38 47 58 72 89 99 101 97 89 83 78 68 55 43 35 29 22 16 11 11 13 17 21 24 25 25 23 20 16 11 7 4 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 3 1 1 0 0 0 0 0 0 0 0 1 3 4 6 9 13 16 15 10 7 5 5 5 5 5 5 6 6 5 4 3 2 1 0 0 0 1 2 3 3 3 4 4 2 1 1 1 1 2 5 9 13 15 18 19 17 13 10 10 9 6 5 5 5 4 6 6 4 2 3 4 6 7 7 6 7 10 13 19 23 24 22 18 14 10 10 10 10 10 10 10 10 11 13 12 14 18 23 27 27 25 24 23 23 23 21 19 17 16 15 15 16 16 17 17 19 20 21 22 23 22 21 20 19 17 15 13 11 9 6 3 1 0 0 0 0 0 0 1 2 3 3 2 3 5 8 10 13 11 9 8 7 6 4 3 3 4 4 3 2 3 5 8 8 5 3 7 11
3 2 2 3 4 4 4 4 5 5 6 6 6 6 6 7 7 6 6 5 6 6 6 6 5 4 3 2 2 4 6 9 12 14 16 18 19 19 19 18 18 20 21 22 22 22 21 19 19 19 20 21 22 24 27 32 37 41 47 52 57 61 66 70 69 65 60 56 53 52 52 53 51 49 48 51 58 72 86 101 112 124 136 147 153 147 135 122 107 93 78 67 59 54 50 46 43 41 41 40 44 52 59 58 60 60 59 59 57 52 47 41 35 30 25 21 19 17 18 19 19 18 17 16 15 15 16 14 13 12 10 11 11 13 14 14 14 15 16 17 19 21 22 23 24 26 28 29 30 32 35 36 37 39 42 45 48 50 53 55 59 65 73 75 78 83 91 95 98 98 103 108 113 118 124 131 139 148 151 152 152 151 151 153 158 164 174 186 198 213 235 263 293 317 332 341 346 347 349 348 342 336 318 298 281 268 262 251 247 262 280 299 314 323 337 348 351 355 359 366 370 370 362 355 350 345 351 354 353 336 303 269 232 203 189 181 179 191 208 226 240 255 268 278 288 295 300 299 297 298 299 302 307 305 307 305 301 300 302 306 311 312 311 310 306 295 278 263 252 245 237 224 209 192 176 168 162 151 133 118 106 99 93 90 90 87 82 75 65 53 45 45 53 55 54 53 56 64 67 64 54 39 26 21 26 38 49 57 68 82 96 98 96 89 79 74 65 55 44 34 26 20 14 9 8 10 14 19 22 24 23 21 18 15 10 7 4 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 10 12 13 11 8 6 4 5 5 6 5 4 4 3 4 3 3 2 0 0 0 0 1 3 5 5 4 4 3 1 1 1 1 0 3 4 7 9 11 12 12 12 11 10 10 10 8 6 5 8 6 6 5 2 2 3 3 4 5 6 6 8 11 15 21 25 24 21 17 13 11 9 9 9 8 7 7 8 9 10 12 14 18 23 27 27 26 25 25 26 24 22 20 18 16 15 15 15 16 17 18 19 20 21 23 24 24 24 23 22 19 17 15 12 11 9 6 3 0 0 0 0 0 1 2 3 3 2 2 1 3 6 9 13 11 9 8 7 6 5 4 3 3 4 4 4 4 2 2 2 1 3 8 12
2 2 2 2 3 3 3 4 4 4 4 5 5 6 6 6 7 6 5 6 6 7 7 7 6 5 3 3 3 4 6 7 10 14 17 20 20 19 18 16 15 16 18 20 22 22 21 20 18 17 17 17 17 18 20 25 30 34 39 44 50 55 60 62 60 57 53 50 48 47 49 48 47 46 47 50 62 75 89 102 114 126 137 146 148 142 132 119 105 90 78 68 59 55 51 49 45 42 41 44 49 53 57 59 62 62 61 59 53 47 42 36 30 23 19 15 14 14 15 17 17 16 14 14 14 13 13 11 11 10 9 10 11 12 13 14 14 15 16 17 19 21 22 22 24 26 28 29 30 32 34 35 37 38 41 43 46 47 49 52 54 56 61 64 70 77 82 89 96 103 108 112 116 121 128 131 137 143 146 148 149 148 150 152 154 155 164 174 184 198 213 230 256 281 293 307 320 316 313 308 296 287 275 263 257 258 261 262 278 299 320 352 365 356 360 373 356 359 370 381 382 376 366 364 364 366 371 362 349 325 294 262 226 204 197 202 214 229 240 243 252 261 272 283 293 303 312 311 308 300 293 294 294 299 305 309 314 312 309 311 312 313 315 318 310 299 285 270 258 248 239 227 212 195 180 170 164 153 137 121 107 98 92 91 93 91 86 78 67 56 49 51 57 62 59 59 62 69 73 69 57 42 28 22 28 39 50 57 66 77 89 96 93 86 78 71 64 55 44 34 26 19 13 8 6 8 12 17 21 22 22 20 16 13 9 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 6 8 9 10 9 6 6 6 6 6 5 5 5 4 3 3 3 3 2 1 0 0 1 1 2 3 3 3 3 4 3 1 2 2 2 1 3 4 5 7 9 11 11 9 8 9 9 9 8 6 4 6 6 6 5 4 2 2 2 3 4 5 6 9 12 17 21 22 20 17 17 17 12 10 8 7 6 5 5 6 7 9 10 13 17 23 26 27 27 26 25 25 26 24 21 18 16 15 15 14 15 16 17 19 20 22 23 24 25 26 27 24 21 19 16 13 12 10 8 5 1 0 0 0 0 1 2 2 3 2 1 1 2 3 6 8 9 10 8 7 6 6 4 3 3 3 3 4 4 3 2 1 1 8 15 21
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