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 14 11 9 8 7 8 9 9 9 9 10 9 9 9 8 8 9 9 8 9 10 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 9 11 9 7 8 9 9 7 6 6 8 9 7 6 6 6 7 6 4 5 6 7 7 7 8 8 8 8 9 10 9 7 7 8 7 7 7 6 5 7 8 9 9 9 10 10 10 9 9 9 9 9 8 7 7 8 8 9 8 7 7 7 7 7 7 8 7 7 8 10 9 6 5 6 7 nan
nan 16 12 10 9 9 10 9 9 10 10 10 11 10 9 8 8 9 10 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 10 11 10 8 6 7 8 8 8 8 10 13 11 6 7 8 9 8 6 6 8 9 8 7 7 6 6 7 6 5 5 4 5 6 7 7 7 7 7 8 9 8 7 8 8 8 9 7 6 7 7 8 8 10 11 11 10 9 10 10 10 9 8 7 7 8 9 10 8 7 7 7 7 7 7 8 7 7 8 10 10 7 6 6 7 nan
nan 16 14 12 10 10 10 9 9 10 11 11 12 12 10 9 8 8 9 10 8 8 9 10 11 11 9 8 7 6 8 10 10 8 10 12 10 8 6 5 5 8 10 10 9 11 12 9 8 9 9 7 6 6 8 9 8 8 8 7 7 6 7 7 5 3 3 5 7 7 7 7 6 7 8 8 7 8 8 9 10 10 8 7 7 6 7 9 11 11 11 11 11 10 10 10 9 7 7 8 10 10 9 7 7 8 8 7 7 8 7 8 8 9 9 8 7 8 9 nan
nan 15 15 12 10 10 10 9 9 10 10 11 11 12 10 9 9 8 9 9 9 8 8 8 10 11 11 9 7 6 7 8 11 10 10 11 9 8 6 4 4 6 8 9 9 9 9 9 9 10 10 8 7 6 7 9 9 9 9 9 7 7 7 7 6 4 3 5 7 8 8 7 7 7 8 8 8 8 8 9 10 10 9 8 7 7 8 8 10 11 11 12 11 11 10 9 8 7 7 8 10 10 9 8 8 8 8 8 8 8 9 8 8 8 8 7 7 9 10 nan
nan 15 16 13 11 10 10 10 9 10 10 10 11 11 11 11 10 9 9 9 9 9 8 8 9 10 10 10 8 7 7 7 10 12 11 10 8 7 7 5 4 4 6 7 8 8 8 7 7 9 10 9 8 7 7 8 9 9 9 9 8 8 8 7 6 5 4 5 7 8 8 8 8 8 8 8 8 9 9 8 8 9 8 8 7 6 7 8 9 10 11 12 12 11 9 8 8 7 7 8 9 10 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 10 10 nan
nan 17 17 16 13 11 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 9 9 9 10 10 10 10 8 8 9 8 9 10 11 10 9 9 8 6 5 5 6 6 7 8 8 6 5 8 10 10 8 7 7 8 8 8 8 8 8 8 8 8 6 5 5 5 7 8 8 8 8 8 9 7 6 8 10 9 8 7 7 8 8 6 7 8 8 10 12 12 12 11 8 7 7 8 9 9 8 8 9 9 9 9 9 9 10 10 11 11 10 8 6 6 8 10 10 nan
nan 18 18 17 15 13 11 10 10 10 10 9 9 9 10 10 11 10 10 10 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 10 9 9 9 8 6 5 6 7 7 7 8 7 6 7 10 10 8 7 7 8 9 9 8 9 9 8 8 8 8 7 5 5 7 8 8 8 8 9 9 8 6 6 9 8 7 7 6 7 8 7 8 9 9 9 11 12 12 10 8 7 7 8 9 10 9 8 9 9 9 8 8 9 10 11 12 11 10 9 7 6 8 9 9 nan
nan 18 17 17 14 13 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 9 12 13 13 13 12 11 10 9 8 8 11 11 9 8 8 8 7 6 6 8 8 7 8 7 8 8 9 10 9 7 6 8 9 10 10 11 10 10 9 9 9 8 6 6 6 7 8 8 8 9 9 9 9 8 7 7 7 7 7 8 7 7 9 11 10 10 11 11 10 9 8 7 8 8 8 9 9 8 9 9 8 7 7 8 10 10 10 10 9 9 7 6 8 9 8 nan
nan 16 16 15 14 13 12 12 11 11 10 10 10 10 9 8 8 9 10 10 9 8 7 7 10 13 14 12 12 12 11 9 7 7 9 12 11 7 6 7 7 5 6 9 8 7 7 6 7 9 8 8 9 8 7 7 8 9 11 11 11 10 9 9 9 8 8 6 6 6 6 7 9 9 9 10 10 10 8 6 7 8 9 9 8 8 9 10 10 10 10 11 10 9 9 9 10 9 7 7 8 8 8 8 8 6 6 8 9 10 10 9 9 8 7 7 8 9 7 nan
nan 16 15 14 14 13 12 12 12 11 11 11 11 10 10 9 8 8 10 10 9 7 6 6 6 11 12 11 8 11 13 11 9 6 6 12 13 9 6 7 7 4 6 9 8 7 6 6 7 9 8 7 8 9 9 8 7 8 10 10 10 10 9 9 9 9 9 7 6 6 6 8 10 10 9 9 10 11 10 8 8 8 8 8 8 9 11 11 9 9 9 10 11 10 10 10 10 10 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 7 7 7 8 8 7 nan
nan 16 15 14 14 14 13 12 12 11 12 11 11 11 10 10 8 8 9 9 9 8 8 8 6 7 10 10 7 8 12 12 9 6 6 11 13 11 8 8 8 3 3 9 9 8 8 7 8 9 8 7 8 9 8 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 8 10 10 9 8 8 10 11 10 8 8 8 8 8 7 10 12 10 8 7 7 10 11 10 10 9 10 10 8 8 8 8 8 7 8 8 8 8 8 7 8 9 8 7 8 9 7 7 nan
nan 17 16 14 13 13 13 13 13 12 12 13 12 12 11 11 9 8 9 10 9 9 9 9 7 7 9 9 7 6 9 12 11 8 7 9 10 10 10 10 9 5 4 7 9 9 9 8 8 9 8 8 9 9 8 7 8 9 9 10 10 9 9 9 10 9 8 8 8 8 8 8 9 11 10 8 8 9 9 9 8 8 8 8 8 7 8 11 10 9 6 7 9 10 10 9 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 9 8 8 9 9 7 7 nan
nan 17 16 15 13 14 13 13 13 13 13 13 13 13 11 11 10 10 10 10 10 10 9 9 9 8 9 9 7 6 9 12 11 9 8 8 8 8 9 9 9 7 7 9 10 10 9 8 8 8 8 8 8 9 9 7 7 8 10 12 12 10 9 8 10 10 8 7 8 9 9 8 10 10 9 8 7 8 8 8 8 7 7 7 7 8 9 11 11 9 8 8 8 9 9 9 8 8 10 9 9 10 10 10 9 8 8 8 8 7 7 7 7 8 9 9 9 8 7 nan
nan 17 17 15 14 13 13 13 13 13 14 13 13 12 11 10 10 10 11 11 10 9 9 10 10 10 10 9 7 8 12 13 11 10 9 8 7 7 8 8 7 7 8 10 11 10 10 8 8 9 9 8 7 8 9 7 6 8 10 12 13 12 11 10 9 10 9 7 7 8 9 9 10 11 9 7 7 7 8 8 8 7 6 5 6 7 10 12 11 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 7 6 7 8 9 9 9 8 6 nan
nan 21 23 21 17 14 13 12 12 13 14 14 14 13 12 10 9 10 11 11 10 8 8 10 13 13 11 10 9 9 12 13 12 12 12 10 8 9 10 8 6 6 7 9 10 10 10 9 9 9 10 9 8 8 8 7 6 7 8 10 12 13 13 12 11 10 9 7 8 7 8 9 10 11 9 7 6 7 8 8 8 7 6 5 7 8 8 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 11 9 8 7 7 8 8 8 7 7 8 8 9 10 9 8 6 nan
nan 27 32 31 23 16 13 13 13 13 14 14 15 15 13 12 11 13 12 10 9 7 7 9 12 13 11 11 14 13 9 8 11 13 14 12 9 9 11 10 7 7 8 9 9 10 10 9 9 10 11 10 10 9 7 7 7 8 8 9 10 10 11 13 12 11 9 8 7 7 7 8 9 10 10 8 7 7 6 7 9 8 8 7 7 8 7 6 8 10 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 9 9 10 10 8 8 7 nan
nan 25 34 35 27 19 15 13 12 13 13 15 15 16 16 15 13 18 17 12 10 8 8 11 13 12 10 10 13 14 10 9 10 12 13 12 11 10 10 11 10 9 8 8 9 10 10 9 9 10 10 10 10 8 7 7 7 8 8 9 10 9 9 11 12 12 10 8 7 7 7 8 8 8 10 9 7 8 6 6 9 8 8 8 8 8 7 6 6 9 12 12 12 11 10 10 10 9 9 9 8 9 8 7 8 9 8 7 8 9 8 8 9 10 10 9 9 9 8 nan
nan 13 21 26 25 20 16 14 13 12 13 14 14 13 14 15 15 17 17 13 11 10 11 11 12 12 11 10 9 11 12 10 10 10 10 11 11 10 10 11 11 11 10 8 9 10 9 9 9 10 9 9 9 8 6 6 7 8 8 10 10 9 9 10 11 12 10 8 7 7 8 8 7 8 8 9 8 8 7 6 8 9 9 8 8 8 8 8 7 8 9 11 12 12 11 11 10 9 9 9 9 9 8 7 8 8 8 7 8 8 8 8 8 9 10 9 10 9 9 nan
nan 5 9 14 18 18 17 15 13 13 13 14 14 12 10 11 13 13 12 11 10 11 11 10 10 12 11 10 9 11 11 10 10 10 9 9 10 10 10 10 10 11 11 10 10 10 10 9 9 9 10 9 9 8 5 4 6 7 8 9 9 9 9 9 11 11 10 8 8 8 10 9 8 8 8 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 12 10 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 10 10 9 nan
nan 8 8 10 12 14 15 15 14 14 14 15 15 14 10 9 11 12 11 10 9 10 10 9 10 10 11 10 9 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 6 4 3 5 7 9 9 9 9 9 10 10 9 9 8 9 10 9 8 8 8 8 9 9 8 9 10 10 10 10 8 8 8 8 8 9 8 7 8 9 11 12 10 9 9 9 8 9 9 9 8 8 7 7 7 8 8 9 9 9 9 8 9 10 9 nan
nan 14 13 12 11 12 13 14 14 15 15 14 15 14 13 11 12 13 12 9 9 9 10 10 9 9 10 10 10 9 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 11 10 10 11 10 10 9 9 8 7 5 4 6 7 9 9 9 10 10 9 8 8 9 10 10 10 9 8 9 9 9 10 9 9 9 9 12 12 9 8 8 8 8 9 9 7 6 7 9 12 10 10 10 9 8 8 8 8 9 8 8 7 7 8 9 9 9 9 9 9 9 8 8 nan
nan 17 17 14 12 12 12 13 15 16 15 15 14 13 13 11 10 10 10 10 9 9 9 10 10 9 8 8 9 9 9 9 10 10 10 10 9 10 10 11 11 9 9 10 10 9 10 10 9 10 10 10 10 9 8 8 8 7 6 7 8 9 10 10 10 8 7 7 8 10 10 9 7 8 9 10 10 10 9 9 8 7 11 12 10 9 8 7 7 8 10 8 7 6 8 11 11 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 nan
nan 16 16 14 12 12 13 14 15 15 15 14 13 14 13 10 7 6 7 8 9 9 8 8 10 9 7 7 8 10 9 9 9 9 10 10 10 9 10 11 12 11 10 10 11 10 9 9 9 10 10 10 10 9 8 8 9 8 7 8 9 9 9 9 9 8 8 7 8 8 8 8 7 8 9 10 10 9 9 9 9 8 9 11 11 10 9 8 7 7 9 9 9 8 8 9 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 nan
nan 15 15 13 12 12 14 15 17 17 15 13 12 14 14 11 8 6 5 6 8 9 7 7 9 8 5 7 8 9 9 10 9 9 10 10 9 8 10 11 11 11 10 9 10 11 10 9 9 10 9 9 9 9 8 8 9 9 8 8 10 10 9 9 9 9 9 9 9 8 7 7 6 8 8 9 9 9 9 9 9 8 8 10 11 10 9 9 8 8 9 10 10 9 9 9 10 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 10 10 9 10 nan
nan 15 14 13 12 12 14 15 16 17 15 14 13 13 12 12 12 10 8 6 7 8 6 7 10 8 4 5 7 8 8 8 8 9 10 10 9 8 10 12 12 11 10 9 9 10 10 9 9 9 9 10 10 9 9 9 9 9 8 9 11 11 10 10 10 9 8 9 10 9 8 7 7 7 7 7 8 9 9 9 8 8 8 11 11 9 9 9 9 8 8 9 10 10 10 9 10 10 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 7 7 8 8 8 10 nan
nan 15 13 11 10 11 12 14 15 15 14 13 13 12 11 12 14 12 12 10 9 8 7 7 10 8 3 4 6 7 9 8 7 8 9 10 9 8 10 11 12 11 10 9 9 10 9 8 8 8 9 10 9 9 9 9 9 9 7 8 12 13 12 11 11 10 9 9 9 9 9 9 9 9 8 7 8 8 8 9 8 8 8 11 11 10 9 10 9 7 7 9 9 10 10 10 10 10 10 10 10 9 8 8 7 9 10 8 8 8 9 12 11 10 9 8 7 7 9 nan
nan 14 13 10 9 10 11 12 12 13 13 12 12 11 12 12 12 12 13 12 11 11 10 10 10 8 4 4 6 9 10 9 7 8 9 9 9 9 10 11 11 11 11 10 10 11 10 9 8 8 9 9 9 9 8 9 9 9 8 7 10 13 13 14 13 13 11 10 9 9 9 9 10 10 10 9 9 9 8 8 9 9 9 10 9 9 10 11 10 8 8 9 9 10 10 10 10 10 11 11 11 10 9 8 6 9 12 9 7 7 9 12 13 12 11 10 9 7 8 nan
nan 11 13 11 9 8 9 11 11 12 12 12 11 12 13 13 13 13 13 12 12 13 13 12 10 7 4 4 7 10 11 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 9 8 8 9 9 9 9 9 9 8 9 9 8 9 11 12 14 14 15 14 12 11 11 10 9 9 10 11 11 10 9 8 8 8 9 10 10 8 8 9 11 11 10 8 9 9 10 10 10 10 11 11 12 11 9 9 9 7 8 11 8 7 9 12 15 17 16 15 14 11 8 7 nan
nan 9 12 11 9 8 9 10 11 12 12 12 13 13 13 14 14 14 14 13 13 14 14 12 9 6 4 4 7 10 10 9 10 10 10 9 8 9 10 9 8 9 9 10 10 10 9 9 8 9 10 9 9 9 9 9 9 8 9 10 10 10 10 11 12 13 13 13 12 12 12 11 10 10 10 11 11 10 7 7 7 8 10 11 10 10 10 11 12 11 11 9 9 10 10 10 11 12 12 12 11 9 9 9 7 7 9 8 8 12 20 27 28 28 25 21 17 13 10 nan
nan 10 12 11 9 7 8 10 11 13 13 14 14 15 15 15 16 16 16 14 14 14 13 13 11 7 4 4 7 9 10 10 10 10 9 8 8 9 9 8 8 8 9 11 11 9 8 9 9 9 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 12 11 10 10 11 12 11 8 7 7 8 9 10 10 10 10 10 10 11 12 11 10 9 9 10 11 12 12 12 11 10 9 8 7 8 8 7 8 15 25 30 31 33 35 33 28 21 17 nan
nan 12 13 11 9 7 8 10 12 14 15 15 16 16 17 18 17 17 16 14 13 12 12 12 12 10 6 4 8 10 11 10 10 10 9 8 9 9 9 8 8 8 8 10 11 10 8 8 9 9 9 9 10 9 10 10 10 9 8 9 10 10 10 10 10 9 9 9 11 12 12 13 12 12 12 11 11 10 9 8 7 8 8 9 10 10 10 10 9 9 11 11 9 9 9 9 10 11 11 11 11 10 9 7 8 7 6 7 12 19 22 21 21 23 30 35 34 27 21 nan
nan 16 15 12 9 8 9 11 14 16 17 17 17 17 18 19 18 17 16 14 11 10 9 10 11 11 8 6 10 12 11 11 10 10 9 8 9 9 9 9 9 8 8 10 11 9 8 9 9 9 10 10 10 10 10 10 10 8 8 9 10 10 10 11 10 9 9 9 11 12 12 12 13 13 12 11 10 10 9 9 9 9 8 8 8 9 9 10 11 10 11 11 10 8 8 8 9 10 11 11 11 10 10 8 7 6 5 9 16 19 15 12 11 12 16 22 25 23 19 nan
nan 20 19 14 10 10 12 13 15 17 18 18 18 17 16 17 17 17 15 13 12 10 8 8 11 10 8 9 10 12 12 11 10 10 9 9 10 10 9 9 9 8 9 11 10 8 8 9 9 9 10 10 10 11 11 10 9 9 8 8 9 11 11 11 10 10 9 10 10 11 11 12 13 12 11 11 10 9 9 10 10 10 10 9 8 8 8 8 10 11 11 11 10 8 7 7 8 9 11 11 11 10 9 8 6 5 5 9 14 14 11 8 7 7 8 9 12 14 15 nan
nan 21 20 15 10 11 13 15 16 17 17 17 17 16 15 15 15 14 13 13 12 11 10 10 11 11 9 10 11 12 13 12 10 10 10 10 10 10 9 9 9 8 10 12 10 8 8 9 9 9 10 10 11 11 11 10 10 9 8 8 9 10 11 11 10 10 10 10 10 8 9 11 12 12 10 9 10 9 10 10 11 11 12 11 10 9 8 8 9 10 11 11 10 9 9 9 8 8 10 11 11 10 8 7 6 5 6 8 9 10 10 9 7 6 6 6 7 9 11 nan
nan 16 17 13 10 10 12 14 15 16 15 16 16 15 15 14 14 13 12 12 12 12 11 12 11 11 11 11 11 12 12 12 11 10 9 10 11 11 10 9 9 10 11 10 9 9 8 9 10 10 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 8 7 9 11 12 11 9 9 9 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 10 9 9 7 6 7 9 9 7 7 9 9 6 5 5 6 6 7 7 nan
nan 12 12 11 10 11 12 13 13 14 15 14 14 14 14 14 13 12 11 12 13 12 12 13 13 12 12 12 12 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 9 9 10 9 9 10 11 11 11 11 10 10 10 10 10 9 10 12 11 10 9 10 10 10 11 10 9 9 10 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 10 11 12 11 11 11 11 10 10 9 8 8 8 9 12 10 6 7 8 8 6 5 6 7 7 6 4 nan
nan 9 9 10 11 12 13 13 14 14 14 14 14 14 14 14 14 13 12 11 12 12 13 13 14 13 12 12 12 12 10 10 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 10 11 11 11 10 10 10 10 10 10 10 10 11 11 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 10 11 10 10 12 12 11 10 9 9 11 11 12 12 11 10 9 10 9 8 8 8 9 10 11 9 7 8 8 7 6 6 6 7 7 6 2 nan
nan 4 4 6 9 12 13 14 14 14 15 14 14 14 13 14 15 14 13 13 12 12 13 13 14 14 13 13 14 13 11 10 12 13 13 13 13 12 12 11 11 10 10 11 11 11 10 10 10 10 11 11 11 10 11 11 11 11 11 10 10 11 10 10 9 9 9 9 10 11 10 9 9 9 10 9 10 11 11 11 10 8 9 11 10 10 12 14 13 12 11 11 11 11 11 11 10 8 8 9 9 10 9 9 8 9 9 9 8 8 8 7 6 6 6 6 7 5 1 nan
nan -3 -2 -0 4 9 11 13 13 14 14 14 14 14 14 15 15 15 14 14 13 13 13 14 14 13 14 15 14 14 13 12 13 14 14 13 13 13 12 11 11 12 12 12 11 11 11 10 10 10 11 11 10 9 10 12 11 11 12 11 11 11 10 9 9 9 10 11 11 11 10 10 11 10 10 9 10 12 12 13 10 9 10 11 12 11 13 15 14 14 13 13 12 10 10 10 10 9 8 10 10 10 9 9 7 8 9 9 9 8 7 8 8 7 7 7 6 5 0 nan
nan -1 -3 -2 1 5 8 10 11 13 14 14 14 13 14 15 16 16 15 15 13 14 14 14 13 13 14 14 14 14 14 14 14 13 14 13 13 13 12 11 11 11 12 12 12 11 11 10 10 10 11 11 11 10 9 11 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 12 12 12 11 10 11 12 13 13 14 15 15 14 13 13 13 11 9 10 11 11 10 10 10 10 10 8 8 8 9 12 11 9 6 8 8 7 7 7 7 4 -0 nan
nan 6 4 3 3 5 7 9 11 13 14 14 14 13 12 13 15 16 17 16 15 15 14 13 13 12 13 14 13 14 14 14 13 13 13 12 13 12 12 11 11 11 12 12 11 11 11 11 10 10 11 11 11 10 10 11 11 11 11 10 9 9 9 10 10 9 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 13 12 11 11 12 13 12 11 12 13 12 10 10 11 11 11 11 10 9 9 8 8 8 11 14 13 9 7 7 8 8 8 7 6 3 1 nan
nan 10 10 10 9 8 9 10 12 13 14 13 13 12 11 12 14 16 17 16 16 15 14 13 13 13 12 13 13 13 14 13 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 10 10 11 11 11 11 11 10 11 11 11 11 10 9 9 9 10 10 10 11 11 10 11 11 11 11 12 11 11 11 10 10 11 11 11 12 13 12 9 8 8 9 10 10 11 12 14 13 12 11 11 11 10 10 10 9 9 8 9 11 13 12 9 7 7 8 8 7 6 5 3 1 nan
nan 10 12 14 14 13 12 12 13 14 14 14 13 12 12 13 14 15 15 15 14 14 15 13 12 12 12 13 13 13 13 13 12 12 12 12 11 10 11 10 10 10 11 11 11 11 11 11 11 11 12 12 11 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 11 11 11 11 10 10 11 11 11 13 14 11 9 9 8 9 9 9 10 11 14 16 16 15 12 11 10 11 11 11 10 8 8 10 11 10 9 7 7 7 6 6 6 7 5 2 nan
nan 12 13 16 17 16 14 14 15 16 16 17 16 14 14 15 16 15 14 13 14 14 14 13 11 11 12 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 11 11 11 12 12 12 11 11 12 12 12 12 12 11 11 10 9 9 11 12 11 10 9 10 11 12 12 11 11 10 10 11 12 12 12 11 11 10 11 12 13 13 11 10 11 10 10 11 12 12 13 14 15 17 17 14 12 11 12 13 12 10 8 8 10 11 10 9 7 6 5 6 7 10 12 10 5 nan
nan 14 15 17 17 16 15 15 16 17 18 19 19 18 18 17 16 16 14 13 13 14 14 12 10 10 12 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 13 13 12 12 11 11 11 10 10 10 11 11 9 9 10 10 10 11 11 10 10 10 12 13 14 15 13 13 11 11 13 15 14 12 11 12 12 12 13 13 13 15 15 14 14 15 15 14 14 14 13 12 10 9 10 12 13 12 9 6 4 5 7 10 14 14 10 5 nan
nan 13 15 15 15 15 14 14 15 17 18 19 19 19 18 17 16 15 14 13 12 14 14 11 9 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 11 11 12 12 12 12 11 11 12 12 11 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 12 14 15 13 12 11 11 14 16 16 14 13 13 13 13 14 14 14 15 15 13 13 14 16 18 19 16 13 10 10 11 12 14 15 15 12 6 4 5 9 13 14 11 6 2 nan
nan 11 12 13 13 13 14 14 14 16 18 18 18 17 16 15 15 14 13 13 11 10 10 9 9 10 12 11 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 11 11 11 11 12 12 11 11 11 11 11 12 13 13 13 11 10 10 9 9 8 7 8 9 9 10 11 12 12 11 10 10 10 10 10 10 11 12 14 16 17 18 17 15 14 14 15 15 15 14 13 14 16 18 20 20 17 12 8 8 10 13 14 14 16 15 9 5 6 9 13 11 8 3 -1 nan
nan 11 12 12 13 14 15 16 17 17 18 18 17 16 15 15 14 13 13 12 9 7 7 8 9 10 11 11 11 11 11 11 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 13 13 13 12 10 10 10 10 9 8 9 10 11 11 12 11 11 10 9 9 8 8 9 9 9 11 13 14 17 19 18 16 15 14 13 13 13 15 15 14 15 16 17 16 13 10 8 5 7 9 10 12 15 18 14 8 6 7 9 9 7 4 -1 nan
nan 11 12 14 15 16 17 19 20 20 19 18 17 16 14 13 13 13 11 10 8 6 6 9 10 11 12 11 11 11 12 13 13 12 11 12 12 12 12 12 11 11 11 12 12 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 8 6 7 8 8 11 11 9 10 13 15 16 17 17 15 13 12 12 11 12 15 16 14 12 12 10 9 9 8 7 6 5 6 7 9 12 18 19 12 5 4 5 7 7 5 2 nan
nan 13 13 15 16 18 19 20 21 21 19 18 18 17 15 12 11 10 8 7 7 7 8 10 12 12 12 12 11 11 12 13 13 11 10 12 12 12 13 12 11 11 12 12 11 12 12 13 13 13 13 13 13 13 13 12 11 11 10 11 11 10 10 10 10 11 11 11 10 10 10 10 9 8 7 7 8 8 10 11 11 12 14 14 14 15 15 13 11 10 10 10 10 14 15 12 9 8 6 5 6 7 7 7 8 8 7 8 10 19 22 14 7 3 4 5 6 6 5 nan
nan 16 16 16 17 19 20 20 19 18 17 17 17 17 15 12 10 8 6 7 9 11 12 13 13 13 13 13 12 12 13 14 13 11 10 12 13 12 12 11 11 12 12 12 12 13 13 14 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 11 11 10 9 8 8 8 9 10 11 10 10 12 14 13 12 10 11 13 13 11 10 9 8 9 12 13 9 7 7 7 6 6 7 8 10 10 10 10 11 11 17 22 18 11 6 3 4 6 6 6 nan
nan 19 19 18 18 18 19 18 17 15 14 15 17 17 15 13 11 11 10 11 13 14 15 15 13 13 13 13 13 13 13 13 13 12 13 12 12 12 11 12 12 12 12 12 12 13 14 13 12 11 11 11 12 12 10 9 10 10 9 10 10 11 10 10 10 11 11 11 11 11 11 10 9 9 9 10 11 13 12 12 13 13 11 9 9 11 12 12 11 11 9 7 7 9 9 7 6 6 8 8 8 8 9 12 11 9 12 14 13 14 19 20 15 8 4 4 5 6 6 nan
nan 19 19 19 19 19 19 19 18 16 14 15 17 18 18 16 15 15 14 13 13 14 15 15 14 13 13 13 13 13 14 13 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 11 10 10 10 10 12 12 10 9 9 10 10 10 10 10 10 10 10 11 12 13 12 11 11 11 11 10 11 12 13 13 13 13 13 11 8 7 10 13 13 11 10 10 9 7 6 6 6 6 6 6 8 9 9 8 10 13 13 11 13 14 13 12 16 20 18 9 5 5 5 7 7 nan
nan 18 19 21 21 22 23 24 23 21 19 17 17 19 20 19 17 14 13 11 11 12 15 15 13 13 13 13 13 13 14 13 13 13 13 12 12 11 11 11 11 11 11 12 12 11 10 10 10 10 10 11 11 11 10 10 11 11 11 11 10 9 10 10 10 11 13 14 13 12 11 10 11 11 12 13 14 14 12 11 11 10 8 9 13 14 13 11 10 9 8 6 5 6 6 6 7 7 8 10 9 9 11 13 12 12 13 14 12 9 11 17 18 13 8 6 7 8 9 nan
nan 18 20 22 24 26 28 29 28 26 23 19 18 19 21 20 15 12 10 10 11 13 14 14 13 13 13 13 13 14 14 13 12 12 12 11 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 13 13 12 12 11 10 11 12 12 13 13 11 9 10 10 10 11 13 14 12 11 10 9 7 6 6 6 8 8 7 8 9 10 10 10 12 13 11 11 12 14 12 8 9 12 15 17 14 11 8 9 11 nan
nan 18 20 23 25 27 28 28 28 27 23 18 17 18 21 18 13 11 9 10 12 13 13 13 14 13 12 12 13 13 13 12 11 10 10 10 9 9 9 9 10 11 11 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 12 11 10 10 10 10 10 10 11 12 12 13 13 12 11 10 10 10 10 11 10 9 10 10 11 12 13 12 11 10 9 7 7 7 7 8 9 9 9 9 8 10 10 11 12 12 11 11 10 12 11 11 11 11 14 19 19 15 11 11 14 nan
nan 20 21 22 24 26 25 25 25 25 21 16 15 16 18 15 11 10 10 11 13 13 13 13 13 13 12 12 11 12 12 11 10 10 9 9 9 9 10 10 11 11 11 10 10 11 11 11 12 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 10 10 12 12 13 13 13 12 10 9 10 9 10 11 9 9 10 11 12 12 11 9 10 10 9 7 7 9 10 10 10 10 11 11 9 9 10 10 10 11 11 11 10 10 11 14 14 12 13 20 23 20 14 12 14 nan
nan 21 21 21 21 22 22 22 22 21 17 14 13 13 14 11 9 9 11 12 12 12 12 11 11 12 11 10 11 12 11 10 10 9 8 8 9 10 11 12 11 11 10 10 10 11 11 11 11 10 9 9 10 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 10 9 10 11 11 10 9 8 9 11 12 12 9 8 9 11 9 8 9 11 12 12 11 10 11 11 10 9 9 10 9 9 10 10 10 10 12 14 14 12 18 29 31 24 16 14 16 nan
nan 19 18 18 17 18 19 18 17 17 13 10 9 9 11 10 9 10 10 11 11 9 9 9 10 10 11 11 11 11 10 10 10 8 6 8 10 12 13 12 12 11 11 11 11 11 11 11 10 9 8 8 10 11 11 10 10 10 11 11 11 10 10 11 12 13 12 12 11 11 11 10 10 10 11 11 10 9 8 9 10 11 12 10 8 8 9 10 10 10 10 11 11 10 10 10 11 10 10 10 10 10 9 9 9 10 10 10 12 12 11 7 18 34 34 25 20 19 19 nan
nan 16 15 16 15 14 14 14 14 12 10 9 10 10 11 11 11 10 9 8 8 7 7 8 9 9 11 11 10 8 9 9 8 7 7 10 12 14 14 13 12 11 12 12 12 11 11 10 9 8 8 9 11 11 10 9 9 10 12 11 10 10 10 11 12 12 12 11 11 11 11 10 10 10 11 10 9 8 8 9 10 11 11 10 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 8 3 7 19 24 23 19 17 17 nan
nan 15 15 14 13 13 13 12 11 10 8 10 11 11 11 12 10 10 9 7 7 8 9 9 9 9 10 9 8 7 9 10 9 7 9 12 15 15 14 13 12 12 12 12 12 11 11 11 10 10 10 10 11 11 10 9 9 10 11 12 11 10 11 11 11 11 11 11 11 12 11 11 10 10 9 9 9 7 7 9 10 10 9 9 9 10 10 10 10 10 11 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 10 10 11 11 8 2 -1 1 8 13 12 7 6 nan
nan 13 13 13 13 13 11 9 9 7 7 8 8 7 7 8 8 7 7 7 7 9 10 11 12 12 12 11 11 12 14 13 11 9 11 13 15 14 13 12 12 13 12 11 12 12 11 11 10 11 11 10 9 10 11 11 9 10 12 12 11 10 10 9 10 11 11 10 10 11 12 10 9 10 10 10 8 7 8 9 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 11 10 5 1 -1 -2 2 4 1 -2 nan
nan 14 12 11 11 9 7 6 7 8 8 6 4 3 4 5 6 6 6 6 6 7 8 10 12 14 16 17 18 18 18 16 13 11 11 13 13 12 11 11 12 13 12 12 12 11 10 10 10 10 11 10 9 10 11 11 10 11 12 12 10 9 8 8 9 11 11 10 9 9 11 11 10 10 11 10 9 8 8 9 9 9 9 9 9 9 10 11 10 10 10 10 10 10 10 10 9 9 8 9 8 9 9 9 10 10 10 10 11 11 11 9 8 6 3 2 4 4 1 nan
nan 15 14 11 8 5 5 7 9 8 7 5 5 5 6 7 7 7 5 5 6 6 8 9 11 13 15 17 17 17 17 15 14 12 12 12 11 10 10 11 12 12 12 12 11 10 9 9 9 10 11 10 10 10 10 11 11 12 12 10 9 9 8 8 9 11 11 10 9 9 10 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 10 9 9 8 7 8 7 5 nan
nan 15 14 12 10 8 9 10 10 9 6 5 8 9 9 9 8 6 5 6 6 7 9 9 10 11 12 13 13 13 13 13 12 11 11 11 10 10 10 10 11 11 11 10 9 8 9 11 11 11 11 11 10 10 10 11 11 12 11 9 9 10 11 11 9 10 12 11 9 9 9 10 11 12 12 12 12 10 9 10 10 9 9 9 9 10 10 9 9 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 11 11 10 10 11 12 11 9 9 9 9 9 9 9 8 nan
nan 13 15 15 15 14 13 12 12 10 8 8 10 10 9 9 8 7 7 7 8 9 9 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 9 10 11 12 12 11 11 10 9 10 10 11 11 10 9 8 10 12 11 9 10 12 12 11 10 9 10 11 11 11 12 12 11 9 9 9 9 10 10 11 11 10 8 9 9 8 8 9 8 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 10 8 9 9 9 10 9 9 9 nan
nan 14 14 14 14 14 14 14 13 10 8 8 10 10 9 8 9 9 9 8 9 10 9 10 10 10 10 11 12 11 11 11 11 11 12 11 10 10 9 9 8 8 7 7 8 10 11 12 12 12 11 10 10 9 10 10 10 11 10 9 10 11 9 7 8 10 13 14 12 10 10 11 12 12 12 12 12 11 10 9 9 10 11 11 11 12 11 11 9 7 7 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 13 13 14 15 15 14 12 nan
nan 14 12 11 11 11 10 10 9 7 7 9 10 10 9 9 10 10 9 9 9 9 9 9 9 10 11 12 11 12 12 12 12 12 12 11 10 10 9 9 8 8 8 8 10 12 13 13 12 11 11 10 10 9 10 10 11 11 10 10 12 12 10 8 9 11 12 13 11 10 9 9 11 15 18 19 19 17 16 13 12 12 11 9 10 12 15 18 22 19 12 9 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 12 14 17 20 24 28 28 26 26 25 22 18 nan
nan 14 13 12 11 10 9 9 9 8 8 9 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 11 12 12 12 12 13 13 13 13 11 11 11 10 10 10 10 10 10 12 13 13 12 11 11 10 10 9 10 11 11 10 10 10 12 13 11 10 10 10 11 11 9 7 6 4 4 8 14 20 27 31 29 27 25 18 7 1 2 9 16 21 28 30 29 25 19 13 13 14 15 14 13 13 14 15 16 16 15 14 13 15 19 22 25 27 32 31 27 24 22 21 22 nan
nan 14 14 14 13 12 12 12 11 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 11 11 12 12 13 13 14 13 13 12 12 12 11 10 9 9 10 11 11 12 11 10 11 10 9 9 10 11 11 10 10 10 11 12 12 11 10 10 9 10 9 6 3 1 -0 0 2 6 17 29 35 37 41 35 15 -1 -4 4 12 15 19 23 30 36 32 20 12 16 22 24 19 13 13 15 18 22 24 24 24 25 25 23 20 19 18 17 15 13 14 15 17 nan
nan 13 13 13 14 14 14 13 11 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 13 13 12 12 12 12 12 11 10 10 9 9 10 10 10 10 10 11 11 10 8 8 10 11 11 10 10 10 10 11 11 11 10 10 9 9 8 5 3 1 -1 -4 -7 -8 -3 9 20 27 38 43 30 13 4 7 12 13 13 13 17 25 27 18 11 15 23 29 27 19 12 11 14 18 27 35 35 34 29 21 16 13 12 11 10 10 10 10 11 nan
nan 12 12 12 13 14 13 13 12 12 11 12 12 12 12 11 10 10 9 8 9 9 9 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 11 10 10 10 9 8 8 9 10 11 10 9 8 9 10 11 11 12 11 10 10 10 10 10 10 10 11 10 7 5 4 3 1 -2 -6 -10 -15 -13 -3 5 15 27 28 22 15 13 14 14 13 11 12 14 16 12 10 12 16 23 29 26 16 9 8 6 16 33 36 31 23 16 14 13 12 11 11 10 9 8 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 30 46 59 65 71 81 91 96 98 98 99 99 95 87 77 71 71 74 74 73 73 76 77 77 78 79 81 84 85 87 86 81 72 69 77 82 82 75 64 59 56 49 37 26 37 44 45 40 32 32 39 42 34 26 24 25 26 37 38 31 25 24 25 25 23 20 17 15 14 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 0 0 0 0 0 0 0 0 0 1 6 16 30 44 54 60 66 76 84 88 93 93 91 90 85 75 67 64 68 71 72 72 74 76 72 75 80 85 88 87 89 88 88 76 67 72 80 81 78 68 62 60 57 49 46 51 51 46 38 31 31 38 37 28 18 14 15 16 23 28 27 25 24 24 25 24 22 20 18 17 16 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 2 8 18 31 46 54 56 62 74 85 90 87 81 80 77 69 58 57 62 67 70 74 80 82 74 76 80 85 87 88 91 92 96 84 71 71 79 82 80 73 68 67 67 60 62 63 59 50 38 27 27 31 27 17 10 8 10 13 17 20 21 20 21 20 19 18 17 16 15 16 19 12 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 3 9 18 38 50 49 50 59 72 85 80 76 76 75 68 59 58 61 63 66 70 77 79 74 74 76 80 83 86 89 93 100 94 82 75 78 82 82 78 74 71 71 70 71 69 63 51 38 24 18 18 14 7 2 3 5 7 8 10 11 13 15 15 13 11 9 8 8 10 15 12 9 8 6 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 30 42 42 42 46 58 71 70 72 75 75 68 59 54 53 55 57 60 66 71 72 74 76 79 84 87 88 92 98 97 90 81 78 80 83 83 78 72 70 74 72 65 57 48 37 23 11 9 5 1 0 0 2 1 0 1 3 5 8 7 6 4 3 2 2 4 8 9 9 9 7 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 0 3 10 24 36 38 36 37 44 55 63 68 70 70 65 57 48 42 42 46 51 56 63 72 76 79 83 88 92 90 91 95 98 95 86 76 74 77 76 71 68 69 73 64 57 51 43 32 20 8 4 2 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1 2 4 5 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 0 0 0 0 0 0 0 1 4 14 27 33 33 32 36 44 54 58 58 56 54 48 41 34 34 38 44 47 56 68 77 81 84 90 93 91 90 95 98 96 89 76 63 64 64 62 64 67 70 60 53 46 36 25 14 6 2 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 0 0 0 0 0 0 0 0 1 8 20 29 31 31 33 35 44 47 43 38 35 33 31 29 29 32 35 37 48 63 75 81 84 87 89 88 86 90 93 92 87 75 59 57 59 60 61 65 66 58 48 38 26 16 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 0 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 15 27 29 26 26 24 30 34 32 28 24 21 23 26 27 28 28 30 40 55 68 76 79 80 80 80 80 82 84 84 80 73 63 58 54 51 52 57 56 48 36 22 11 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 18 20 16 15 13 17 24 29 29 27 22 23 25 26 26 26 27 34 45 57 66 69 69 70 71 71 71 71 70 68 66 63 56 46 38 38 40 39 34 23 10 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 2 7 10 10 8 7 8 15 24 30 30 27 27 27 27 26 26 27 32 40 50 56 59 59 62 64 64 62 59 55 51 51 51 46 36 29 29 26 24 22 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 4 8 15 21 24 24 26 26 25 24 25 29 34 41 48 54 56 58 60 60 59 58 56 48 39 36 33 30 26 23 19 20 18 16 12 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 0 0 0 0 0 0 0 0 0 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 4 3 4 6 10 14 16 18 21 20 19 22 31 35 42 49 55 60 64 60 57 55 57 57 50 38 29 23 18 15 13 11 15 15 13 11 8 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 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 5 7 8 11 14 16 16 19 29 33 40 47 55 64 68 60 53 49 49 50 46 37 30 22 15 10 8 10 13 15 14 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 9 13 16 18 23 28 35 42 52 62 65 55 45 37 34 35 35 32 29 23 15 10 10 12 16 18 16 11 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 0 0 0 0 0 0 0 0 1 2 3 5 5 5 6 10 14 16 17 20 25 34 46 58 62 52 36 25 21 24 26 26 23 18 14 12 12 15 20 20 17 10 5 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 0 1 2 4 5 5 6 8 10 12 12 13 16 23 36 50 57 51 34 22 18 20 23 20 16 13 12 13 14 18 22 21 17 10 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 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 6 7 8 8 6 7 8 13 23 38 49 49 36 24 20 20 21 16 12 11 11 13 16 20 20 18 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 6 5 4 3 3 5 12 26 40 44 36 26 21 20 16 13 11 10 11 13 17 21 20 18 14 10 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 0 0 0 0 0 0 0 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 4 2 1 0 2 6 15 26 32 30 25 20 16 14 12 12 11 12 14 18 20 20 17 14 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 3 6 12 19 22 20 17 15 14 13 13 13 13 16 19 20 19 17 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 16 15 14 13 13 14 14 15 17 18 19 19 17 13 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 13 12 12 12 13 14 15 17 17 18 18 16 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 10 9 9 9 10 11 13 15 15 16 16 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 7 7 7 7 8 10 11 13 14 15 13 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 4 4 4 6 8 11 14 15 13 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 1 2 3 6 9 12 14 13 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 4 7 10 12 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 10 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 10 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 13 13 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 19 24 22 16 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 28 34 32 26 19 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 2 3 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 21 31 38 38 33 27 19 9 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 1 1 2 2 1 1 1 1 1 2 3 5 6 6 5 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 23 35 40 38 36 30 21 10 2 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 0 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 2 3 5 6 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 16 30 40 44 41 36 29 19 9 3 1 0 0 0 0 0 0 0 0 0 0 3 4 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 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 5 8 8 8 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 26 39 50 55 49 40 29 18 10 6 4 3 1 0 0 0 0 0 0 0 3 8 8 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 1 2 2 3 3 3 2 4 7 10 10 8 7 5 2 1 0 0 0 0 0 0 0 1 2 1 2 4 7 12 20 32 50 67 72 62 50 38 26 18 13 10 7 4 1 0 0 0 0 0 2 7 14 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 12 9 6 2 1 0 0 0 0 0 0 1 2 4 6 6 5 7 11 17 25 39 58 78 84 78 66 52 39 28 19 14 9 5 1 0 0 0 0 2 3 6 7 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 0 0 0 0 0 0 1 2 3 4 4 4 4 6 13 16 14 9 3 1 0 0 0 0 0 1 2 3 5 8 8 8 8 8 11 15 21 32 46 64 75 74 66 55 42 29 19 11 6 3 0 0 0 0 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 7 14 16 12 4 1 1 2 1 1 2 3 4 7 10 13 13 12 12 14 16 14 11 10 12 17 25 33 37 36 32 28 21 14 8 3 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 1 1 1 2 2 2 3 3 3 4 7 13 14 10 5 5 6 5 5 5 7 9 11 15 19 21 20 18 20 24 27 24 16 8 3 2 3 4 6 7 8 9 9 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 2 2 2 2 1 1 1 2 3 5 9 11 11 10 10 13 12 10 10 10 12 14 16 19 22 23 21 19 19 20 21 19 16 9 3 0 2 4 2 0 0 1 2 4 4 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 0 0 0 1 2 4 6 7 7 6 5 4 3 2 1 1 1 3 5 8 10 11 12 13 14 15 16 15 14 14 15 16 17 18 19 20 21 20 20 19 16 10 5 5 3 1 0 1 4 3 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 9 9 8 7 6 5 3 2 1 2 4 7 10 12 13 12 15 17 18 16 15 14 14 16 17 17 17 18 19 21 23 24 26 29 29 24 13 6 2 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 9 9 8 6 5 5 4 3 3 5 8 10 10 11 11 12 16 19 19 16 14 14 14 15 15 16 16 18 21 24 28 28 32 36 42 48 49 37 22 10 3 1 0 0 0 0 0 0 0 1 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 2 4 5 6 7 6 6 7 7 5 5 4 3 4 6 7 8 8 9 11 15 18 20 19 17 16 17 17 17 16 16 17 19 22 25 26 26 30 34 40 52 66 68 56 35 15 7 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 3 4 6 7 5 4 3 3 3 4 6 7 10 12 16 19 21 21 20 19 20 22 24 24 24 24 22 22 21 20 18 18 18 19 20 27 41 53 53 41 26 15 7 3 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 4 3 3 3 4 6 10 14 17 20 22 22 22 22 21 21 22 23 25 27 29 30 27 24 20 15 10 6 4 2 2 3 10 23 33 33 21 14 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 0 0 0 0 0 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 3 4 6 9 13 18 23 26 26 24 23 24 22 20 20 22 24 28 30 32 31 28 25 20 14 6 2 0 0 0 0 1 8 16 19 12 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 15 20 24 26 27 25 23 23 24 23 22 23 26 30 33 35 35 33 29 25 19 12 5 1 0 0 0 1 3 6 9 7 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 0 0 0 0 0 0 0 0 0 1 3 5 8 11 16 21 22 24 24 24 24 24 26 27 29 32 33 34 34 33 32 30 27 23 18 11 6 5 4 3 2 1 3 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 16 22 26 27 27 27 28 29 30 32 35 36 37 34 31 28 26 23 21 19 17 16 15 12 13 12 9 5 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 18 24 27 27 28 30 32 35 36 36 35 33 30 26 24 22 20 19 17 16 16 18 19 18 18 16 12 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 16 22 26 28 31 34 36 36 34 30 27 23 20 18 17 16 14 15 14 14 15 16 17 17 17 14 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 19 25 29 32 34 35 34 30 24 20 17 16 16 14 12 9 9 10 10 9 9 10 12 13 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 15 23 29 31 32 30 27 23 19 15 12 10 10 11 11 8 7 7 8 9 8 8 8 9 9 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 14 20 24 26 26 25 22 19 16 13 10 8 7 8 8 7 6 6 6 7 8 8 8 8 9 8 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 1 4 5 4 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 1 3 6 10 16 20 21 22 21 20 18 16 14 11 8 6 4 4 5 6 6 5 4 4 4 6 7 7 7 7 7 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 2 10 16 16 10 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 13 17 20 22 21 20 18 16 14 12 10 8 5 2 1 2 2 4 4 4 3 3 4 5 5 5 5 5 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 1 4 13 24 30 25 2 0 0 0 0 0 1 2 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 5 6 8 10 13 15 18 19 21 21 20 19 17 15 12 10 9 8 6 3 1 0 0 1 3 3 3 3 3 4 4 4 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 0 0 0 0 0 0 0 0 0 1 3 12 24 37 42 12 4 1 0 0 0 0 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 14 16 15 14 16 18 19 20 21 22 22 21 19 18 17 15 13 11 10 9 7 5 3 1 0 1 2 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 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 1 9 20 36 50 23 7 0 0 0 0 0 0 0
0 0 0 0 0 0 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 10 15 24 24 21 19 21 24 24 23 23 23 22 20 18 16 15 14 13 11 10 10 9 8 7 6 3 2 3 4 6 7 6 6 5 5 4 3 2 2 1 1 1 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 7 19 36 55 37 13 0 0 0 0 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 4 5 5 4 2 2 4 7 12 13 13 14 21 22 19 17 19 23 25 25 24 22 21 19 17 14 13 12 11 10 10 10 9 10 10 10 8 5 4 5 7 9 10 9 9 9 8 7 6 5 4 3 2 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 33 54 44 20 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 2 2 2 2 2 3 6 10 14 17 14 11 10 12 11 12 14 17 20 21 21 20 18 16 14 12 10 10 9 8 8 8 8 9 10 10 9 7 5 5 7 9 11 11 12 14 15 14 13 12 11 10 9 6 3 1 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 23 51 44 23 6 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 0 0 0 0 0 0 0 1 3 4 4 4 5 6 8 10 12 14 14 14 13 11 9 8 8 8 8 8 7 7 6 6 7 8 8 8 7 6 5 6 8 9 10 15 20 24 23 22 21 21 21 19 15 10 6 2 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 48 44 29 14 7 5 3 2 0 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 10 10 9 7 5 4 3 2 3 4 4 5 6 5 4 4 4 4 4 4 4 4 5 6 7 8 8 12 22 29 30 27 24 23 22 20 16 13 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 43 50 40 24 13 9 6 3 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5 6 8 9 10 8 6 3 1 0 0 0 0 1 1 1 1 2 2 2 1 1 1 1 1 2 2 4 6 8 9 10 17 25 29 28 24 20 18 16 12 8 6 4 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 2 3 3 5 13 44 62 59 37 20 13 9 5 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 7 10 11 10 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 10 12 18 22 22 19 14 11 9 8 5 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 1 2 5 8 10 14 28 57 71 66 44 25 14 7 2 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 8 9 11 11 9 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7 8 10 13 13 10 6 3 2 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 0 0 0 0 1 2 4 7 10 12 17 25 34 39 45 45 39 27 15 8 3 0 0 0
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 8 9 10 10 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 4 4 5 5 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 1 2 8 13 16 18 23 34 46 55 54 34 22 17 17 11 5 2 0 0 0 0
2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 8 8 9 9 9 8 6 5 3 2 2 2 3 4 4 4 3 3 2 1 0 1 1 2 3 4 5 6 6 6 6 6 4 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 0 0 0 0 0 0 1 5 12 19 19 15 12 18 34 44 43 26 13 7 6 5 2 0 0 0 0 0 0
0 1 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 7 7 7 6 4 4 3 4 5 6 7 8 8 9 9 10 9 6 4 3 2 2 5 6 7 7 7 7 7 7 6 4 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 2 6 15 18 13 4 2 4 10 13 10 3 2 2 2 1 0 0 0 0 0 0 0
0 0 0 1 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 4 4 4 3 1 2 3 5 7 8 8 9 10 12 14 16 16 13 8 6 3 2 4 5 6 6 7 7 7 5 4 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 1 4 9 7 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0