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 10 10 10 10 10 9 8 7 6 6 7 7 7 7 7 8 9 9 8 7 5 4 4 4 5 6 7 6 6 7 8 8 6 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 11 11 9 7 6 6 6 6 6 6 8 9 9 8 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 10 10 11 11 11 11 11 10 10 11 12 11 11 11 11 11 11 10 10 10 10 9 8 8 7 7 6 7 7 7 8 9 10 10 9 7 nan
nan 10 11 10 10 9 8 7 6 6 6 6 6 7 7 7 8 9 9 8 7 6 5 5 4 5 6 7 7 7 8 7 6 5 6 6 7 7 7 7 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 10 10 9 8 7 6 6 6 6 6 7 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 9 10 10 9 8 6 5 5 5 5 5 5 5 6 8 10 11 8 7 nan
nan 10 11 10 9 8 8 7 6 6 6 6 6 7 7 7 8 9 9 8 6 6 6 6 5 5 6 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 9 7 6 6 6 7 7 7 7 7 7 7 8 8 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 12 11 11 11 11 12 11 10 10 10 10 11 10 10 9 10 9 8 6 4 3 4 4 4 4 3 4 6 7 10 11 8 7 nan
nan 10 10 9 8 8 8 8 7 6 6 6 6 7 7 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 9 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 10 9 8 7 6 5 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 9 9 10 10 11 10 10 10 10 10 10 9 9 10 10 10 10 9 10 10 11 11 10 10 9 7 6 5 4 2 2 3 3 3 3 5 6 8 10 9 8 8 nan
nan 9 9 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 8 7 7 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 9 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 9 9 10 10 11 11 10 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 4 4 3 3 3 4 4 4 5 7 8 10 10 9 8 nan
nan 9 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 8 7 7 6 6 6 6 6 5 6 6 6 6 7 7 8 8 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 10 10 9 8 7 6 5 5 5 6 7 7 8 8 8 8 8 8 8 7 8 8 8 7 8 9 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 10 10 9 9 8 7 6 5 4 4 4 5 6 5 5 6 7 7 7 8 9 9 9 7 nan
nan 9 9 9 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 9 9 10 11 11 11 10 9 9 10 10 9 9 8 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 11 11 11 10 10 9 8 8 7 6 6 5 5 5 6 7 7 7 6 6 7 8 7 7 7 7 7 6 nan
nan 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 7 6 6 5 5 5 6 6 7 7 7 7 6 6 7 9 10 9 8 7 8 9 10 9 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 10 10 10 11 10 9 9 8 7 8 8 8 7 8 8 9 8 8 8 8 9 9 9 9 8 9 11 13 12 11 10 9 9 8 8 9 9 9 9 9 9 9 10 10 9 8 9 9 10 10 10 9 8 8 7 7 6 6 6 6 7 8 8 8 7 7 6 7 7 6 5 5 6 5 5 nan
nan 10 10 9 9 8 7 6 6 7 8 8 8 7 7 7 8 9 8 7 6 6 6 6 5 6 6 7 7 7 7 7 5 6 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 10 11 11 12 12 13 13 12 11 10 10 10 9 9 9 9 8 7 8 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 8 8 8 9 9 8 8 8 9 9 10 9 8 7 7 7 8 8 9 9 8 7 7 7 7 7 7 6 7 8 8 8 7 6 5 6 6 6 6 6 6 6 6 nan
nan 11 10 9 9 9 8 6 6 7 7 7 7 7 7 7 8 9 8 7 7 7 7 6 6 6 6 7 7 7 7 7 5 6 7 8 8 8 8 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 10 10 11 12 14 15 15 14 13 12 12 13 12 11 10 9 8 7 9 10 10 10 10 10 10 9 9 9 9 10 10 11 9 8 8 8 8 8 8 8 8 8 8 8 9 10 9 7 6 5 6 6 7 7 8 8 7 6 7 7 7 7 7 6 7 7 8 7 7 5 5 5 7 8 8 8 8 8 8 nan
nan 12 11 10 9 9 8 7 6 6 7 7 6 6 6 7 9 10 9 8 8 8 7 6 6 5 6 7 8 8 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 13 15 15 15 14 14 14 15 15 14 13 11 8 8 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 8 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 8 8 8 7 6 5 6 7 8 9 10 10 9 10 nan
nan 13 12 11 10 9 9 7 7 6 7 7 7 6 6 7 9 11 10 9 8 8 7 7 6 6 7 8 8 7 7 9 9 8 7 7 7 8 8 8 9 9 8 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 13 14 15 16 15 14 12 10 11 12 12 11 11 10 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 7 8 8 9 9 8 7 6 6 7 9 10 10 10 9 9 nan
nan 14 13 12 11 10 9 8 7 7 7 7 7 6 7 8 9 10 10 9 8 8 7 7 7 7 8 8 7 7 8 9 9 8 7 6 7 9 8 8 9 8 7 7 8 9 10 10 11 10 10 10 10 11 10 10 10 10 11 12 12 12 13 12 12 12 14 15 15 15 14 14 14 14 13 11 10 9 9 8 8 7 7 7 7 8 9 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 9 8 7 6 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 9 8 8 8 8 9 9 10 9 9 8 nan
nan 15 14 13 12 10 9 8 8 7 7 7 7 6 7 8 10 11 10 8 8 8 7 6 6 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 8 7 6 6 8 9 10 10 11 10 10 10 10 10 10 10 10 11 11 11 12 13 14 13 11 11 12 14 15 16 16 16 16 15 13 12 10 8 8 6 6 6 7 7 7 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 10 10 11 10 9 8 7 7 7 7 8 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 8 8 nan
nan 16 15 14 13 11 10 9 8 7 7 7 6 6 7 8 10 10 9 8 7 7 7 6 6 7 7 8 8 8 8 8 7 7 6 6 6 7 8 8 7 6 6 6 7 8 9 9 10 10 9 10 10 10 9 9 10 11 11 11 12 13 15 13 11 11 12 13 14 15 16 16 15 14 13 11 10 8 7 6 5 5 6 7 8 9 10 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 7 6 6 6 7 9 10 9 8 7 7 8 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 nan
nan 18 17 16 14 13 11 10 9 8 8 7 6 5 6 7 9 10 9 7 6 6 6 6 7 7 7 7 8 8 7 7 7 6 6 6 6 7 8 8 7 6 5 6 6 6 7 8 8 8 9 9 9 9 9 9 10 11 11 11 11 12 13 12 11 11 12 12 13 13 14 14 13 12 11 10 9 8 6 6 5 5 5 6 7 9 10 10 9 9 9 9 8 7 7 7 7 7 7 6 7 7 7 7 6 5 5 5 6 8 9 10 9 9 8 8 9 9 9 9 10 10 11 10 10 9 10 9 9 8 7 8 8 9 nan
nan 20 19 18 16 14 13 11 10 9 9 9 7 5 5 6 9 10 8 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 6 5 5 5 6 6 6 6 7 7 8 8 8 9 9 9 9 10 11 11 11 10 10 10 10 10 11 11 11 11 10 11 12 11 11 10 10 9 7 6 6 5 4 5 6 7 8 9 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 6 6 5 5 5 6 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 7 7 7 8 9 10 nan
nan 22 22 21 19 16 15 13 12 11 10 9 8 6 5 6 8 9 8 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 7 8 8 7 6 5 5 6 6 7 6 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 10 9 9 10 10 10 11 12 11 8 7 6 5 4 5 6 6 7 8 9 9 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 9 10 10 9 8 9 9 9 9 9 10 10 10 10 10 9 8 7 7 6 6 6 6 7 8 9 nan
nan 22 24 24 22 20 18 16 15 14 12 11 9 7 6 6 8 9 8 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 7 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 9 9 10 11 11 10 10 10 11 11 11 10 10 10 10 10 11 12 12 10 9 8 7 6 6 6 7 7 8 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 8 8 9 10 10 10 9 8 7 7 6 6 6 6 6 6 6 7 nan
nan 18 22 24 24 23 21 20 18 16 14 13 10 8 7 7 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 7 8 8 9 8 8 7 7 7 7 7 6 6 6 5 5 6 8 9 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 10 10 9 8 8 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 5 4 4 nan
nan 11 16 20 23 24 24 23 21 19 17 15 12 9 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 9 8 7 7 8 10 10 10 9 9 9 9 8 8 6 5 5 5 5 5 6 8 10 10 10 10 10 9 9 10 10 10 11 11 11 10 9 10 11 12 12 12 11 10 9 8 8 9 10 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 10 9 8 7 7 7 7 7 7 7 6 6 5 4 4 nan
nan 4 8 12 17 20 22 23 23 22 20 18 14 11 10 9 8 8 7 6 6 6 7 7 7 7 7 7 7 8 9 10 12 13 14 13 13 12 11 10 9 8 9 10 11 11 11 10 10 10 10 9 8 6 6 6 6 6 6 7 8 9 9 10 10 9 9 9 9 10 10 11 11 9 8 9 10 11 12 12 11 10 9 9 9 9 10 11 12 11 10 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 10 11 12 12 11 10 8 8 8 8 8 8 8 7 7 6 6 6 5 nan
nan -1 1 4 8 13 16 20 22 23 23 20 17 14 12 11 10 8 6 5 5 6 7 7 7 7 7 7 8 8 8 10 13 15 15 15 15 14 13 12 11 10 10 10 11 12 12 11 10 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 10 10 10 11 11 10 9 9 10 10 11 11 12 11 10 10 9 9 9 10 12 13 12 11 10 9 9 8 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 12 11 10 10 10 9 9 8 8 8 8 8 8 8 7 nan
nan -2 -1 0 2 5 9 13 18 22 23 21 19 16 15 14 13 9 6 4 5 5 6 7 7 7 7 7 8 9 9 11 14 15 16 16 15 14 13 13 13 12 11 11 12 12 11 9 8 7 7 7 7 7 6 6 6 7 7 7 7 7 8 9 9 10 9 9 9 10 11 11 11 10 9 10 10 10 10 11 11 11 11 10 10 9 9 10 12 13 13 12 11 10 8 7 7 8 9 10 10 10 11 11 11 10 10 9 10 10 11 10 9 9 9 9 9 9 10 11 12 13 13 13 12 11 9 9 9 9 10 10 9 9 nan
nan -0 0 0 -0 -0 2 6 11 16 21 22 21 19 18 17 15 11 7 5 5 5 6 7 7 8 8 7 9 9 10 10 12 13 14 14 13 12 12 13 13 13 12 11 10 9 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 9 9 9 9 9 10 11 11 10 10 9 10 10 10 10 11 11 11 10 10 10 9 10 11 13 13 13 11 10 9 7 7 7 8 8 9 10 11 12 12 12 11 10 9 9 10 9 9 9 9 9 9 9 9 10 11 13 15 16 16 15 13 12 11 11 11 11 10 10 nan
nan 1 1 -1 -2 -2 -1 1 5 10 16 21 23 22 21 19 16 13 10 7 6 5 6 7 8 8 8 8 8 8 8 7 8 9 10 10 10 10 10 10 11 10 9 8 6 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 9 8 8 8 9 10 11 10 9 9 9 10 10 10 11 11 11 11 11 10 10 10 11 12 13 12 11 10 9 7 6 6 7 8 9 9 10 11 12 13 13 11 10 8 8 8 8 8 8 9 9 8 8 8 10 12 15 17 17 17 16 15 14 14 13 12 11 11 nan
nan 3 1 -1 -3 -2 -1 0 3 7 13 20 25 26 24 21 17 14 11 9 7 6 7 8 8 8 9 8 7 6 5 5 5 6 7 7 7 7 7 7 6 6 6 5 4 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 10 11 12 12 12 11 10 10 10 9 10 10 11 11 11 10 9 8 7 7 8 9 10 10 10 10 12 13 13 13 11 10 10 10 9 9 9 9 8 7 7 7 8 10 13 15 16 16 17 17 17 16 15 14 13 12 nan
nan 3 2 1 -0 -0 -0 1 2 6 12 21 28 31 28 24 19 15 12 9 8 7 8 9 9 9 9 7 6 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 8 8 7 8 9 10 10 10 11 11 12 13 13 11 11 11 12 12 11 11 10 8 6 6 6 7 8 10 12 13 14 16 17 18 17 17 16 15 13 nan
nan 3 3 2 2 3 2 2 3 6 11 20 30 34 33 29 24 18 13 9 7 7 8 9 10 10 8 6 5 6 7 8 8 7 6 5 4 4 4 4 4 5 6 6 7 6 6 6 7 8 9 9 8 8 8 7 7 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 11 11 11 12 12 12 11 10 11 13 14 14 14 12 9 7 6 6 6 7 9 10 10 12 13 15 16 15 15 15 15 13 nan
nan 3 3 3 4 5 5 6 6 6 8 17 27 35 38 36 31 23 15 10 8 7 9 10 11 10 7 5 5 6 8 9 9 7 6 4 4 4 5 5 6 7 7 8 9 9 8 8 9 10 10 9 9 8 7 7 7 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 9 8 8 8 8 8 9 11 11 12 12 12 12 11 10 11 13 15 17 17 14 11 8 7 6 6 6 7 7 8 9 11 13 13 14 14 14 14 13 nan
nan 5 5 4 4 5 7 8 8 7 8 13 22 32 38 39 36 29 20 13 10 10 10 12 12 9 5 4 5 6 8 8 8 7 6 5 5 6 8 9 9 9 9 10 11 11 12 13 12 10 8 7 7 7 8 8 8 8 8 7 5 4 4 5 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 10 9 9 9 9 10 9 9 8 7 8 10 11 12 12 12 12 12 12 12 14 15 17 17 15 11 9 8 8 7 6 6 6 6 7 8 10 11 12 12 12 13 13 nan
nan 6 5 4 4 5 6 7 7 7 7 9 15 23 30 35 36 34 26 19 15 14 14 14 13 9 5 3 5 6 7 8 9 8 7 6 7 8 9 10 11 11 11 12 12 13 14 13 11 9 7 6 7 8 9 9 9 10 10 9 7 4 3 3 5 7 9 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 7 7 8 9 10 10 9 7 8 9 11 11 11 12 12 13 13 13 13 13 15 16 13 10 9 9 9 9 8 7 6 6 6 6 7 8 9 9 9 10 10 nan
nan 4 4 3 4 5 6 7 7 7 7 7 10 15 21 27 32 32 28 24 21 20 18 17 14 10 6 5 5 7 8 9 10 9 8 7 7 7 8 9 10 11 12 12 11 9 8 7 7 6 7 7 8 9 9 10 10 11 11 10 9 6 4 3 4 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 10 9 7 6 5 6 8 10 11 10 8 8 9 9 10 11 11 11 12 13 12 11 11 12 13 12 11 10 10 10 11 10 9 8 7 6 6 7 7 7 7 7 7 8 nan
nan 3 3 3 4 6 7 8 8 8 7 7 9 13 17 22 25 26 25 24 23 23 22 20 18 13 9 8 8 9 10 11 11 10 7 6 5 6 7 8 9 10 11 11 8 4 2 2 4 6 7 8 8 9 9 9 9 10 11 11 11 10 8 6 5 6 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 10 10 10 9 7 6 5 6 8 10 11 11 10 10 9 9 10 11 10 11 11 12 11 10 10 10 11 11 11 11 10 11 11 11 10 9 8 8 8 8 7 7 7 7 7 7 nan
nan 4 4 4 5 7 8 8 9 9 9 9 12 14 16 18 19 19 20 21 23 24 25 24 21 18 15 14 13 14 13 14 13 10 7 6 6 7 8 8 9 10 10 8 5 3 3 4 6 7 8 8 7 7 7 7 7 7 8 9 11 11 10 8 6 5 6 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 10 10 11 10 9 8 6 5 6 8 9 10 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 11 11 10 11 11 11 10 10 10 10 9 8 8 7 8 8 8 nan
nan 6 5 5 6 7 8 9 9 9 9 10 11 12 13 14 15 15 17 19 21 24 26 25 22 20 19 18 18 17 16 16 14 11 8 8 8 9 9 9 9 9 8 7 6 5 6 7 7 8 8 8 8 7 6 6 6 6 6 6 6 7 7 6 4 3 3 5 6 7 8 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 10 10 11 11 10 8 7 6 6 7 9 9 9 9 10 10 11 11 11 11 10 10 11 11 12 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 nan
nan 6 6 6 7 8 9 10 10 10 9 10 10 11 12 12 12 13 14 16 19 22 23 23 22 21 20 19 18 18 18 17 15 12 11 11 12 12 12 12 12 11 10 8 8 7 8 8 8 9 9 9 8 7 6 6 6 7 6 4 3 4 4 4 4 2 1 1 3 4 5 7 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 9 8 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 10 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 nan
nan 7 6 6 6 8 10 11 11 11 11 12 13 14 14 13 12 11 11 14 16 18 20 20 21 20 19 18 17 18 19 19 18 16 16 16 16 16 15 14 14 13 12 10 9 8 8 8 9 9 9 9 9 8 7 6 6 7 7 6 5 5 5 5 5 4 2 1 1 1 2 4 5 7 8 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 10 8 7 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 11 12 12 12 12 11 10 10 9 8 7 7 7 8 8 8 8 9 10 10 11 10 10 9 9 nan
nan 6 5 5 6 7 10 12 13 13 14 15 16 15 15 13 11 9 10 13 16 17 18 18 18 18 17 18 18 19 20 20 20 21 21 20 19 17 14 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 10 8 7 7 7 8 8 8 7 7 7 6 5 4 3 2 1 2 3 6 7 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 10 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 11 11 11 11 10 9 8 8 8 9 9 9 9 10 10 11 11 11 10 10 nan
nan 6 5 4 5 7 9 11 13 14 14 14 14 13 13 12 10 9 10 12 15 16 17 17 17 15 15 16 17 18 19 20 21 22 21 20 17 14 12 10 10 10 10 10 11 13 13 13 13 12 12 12 13 14 13 11 9 7 7 8 8 9 9 8 8 8 8 7 6 5 3 2 3 5 7 8 9 9 9 9 9 9 9 8 9 9 9 10 11 12 10 9 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 11 12 11 11 11 11 12 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 nan
nan 8 6 5 5 7 8 9 10 11 12 12 11 11 11 11 10 10 10 11 13 14 16 16 16 14 14 14 15 16 18 19 20 19 18 16 14 12 11 11 11 11 11 11 13 14 15 15 14 13 13 13 12 13 13 12 10 8 7 7 8 9 9 9 9 9 8 8 8 7 5 4 4 5 6 8 9 9 8 7 7 7 8 8 8 8 8 9 10 11 11 10 9 8 7 7 8 8 9 9 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 nan
nan 11 9 7 6 7 7 7 8 8 9 9 9 9 9 9 9 10 11 12 13 14 15 16 15 14 14 13 13 14 15 17 18 15 14 14 14 14 13 12 10 9 9 11 12 12 12 12 11 10 10 10 9 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 8 7 6 5 4 5 8 9 10 9 8 7 6 7 7 7 7 7 7 8 9 9 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 9 8 7 8 9 10 10 10 10 10 9 9 10 11 11 10 9 8 8 9 9 9 9 8 9 9 9 nan
nan 12 10 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 11 12 15 16 16 15 14 13 12 12 12 13 14 14 11 12 14 16 17 15 10 6 5 7 9 10 9 8 7 7 6 7 6 5 4 3 3 5 7 8 8 8 9 9 9 8 9 9 9 9 8 7 6 5 4 5 7 9 10 9 8 7 6 6 7 7 6 5 5 6 7 8 8 9 9 9 8 8 9 9 9 9 8 8 9 9 10 10 10 9 8 8 8 9 10 10 10 9 8 7 8 9 11 11 10 8 8 8 8 8 8 8 8 8 8 nan
nan 11 9 8 7 7 6 6 6 6 6 6 6 6 5 5 6 7 7 9 12 14 15 14 14 13 12 11 10 10 11 12 11 12 14 16 18 17 15 8 4 3 6 8 8 6 5 4 4 5 5 5 4 2 2 3 5 7 8 8 9 9 8 8 8 10 10 9 8 8 7 7 5 4 5 7 9 10 9 8 6 5 6 7 7 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 7 7 7 8 9 9 9 8 6 6 8 10 11 10 9 8 7 7 8 8 8 8 8 8 nan
nan 11 9 8 7 7 6 6 6 6 6 6 6 6 5 6 6 6 7 9 11 12 12 12 12 12 11 10 9 9 10 11 13 16 17 17 16 15 15 12 8 6 6 6 6 5 3 2 2 4 6 6 5 5 5 6 7 8 8 8 9 9 8 8 9 11 10 9 8 7 7 7 5 4 4 6 8 9 9 8 6 5 5 7 8 9 8 6 5 5 6 7 7 8 7 7 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 6 6 6 7 8 9 8 7 6 7 9 10 10 10 8 7 7 7 8 8 8 8 8 nan
nan 11 10 9 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 9 10 11 11 11 10 10 10 9 9 9 11 13 15 16 16 14 13 13 14 14 11 9 7 5 4 4 3 4 5 7 8 8 8 8 8 9 9 8 8 8 8 8 8 9 11 11 10 9 8 7 6 6 5 5 5 5 7 9 9 9 8 7 6 7 8 9 10 9 7 7 7 7 8 8 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 5 6 8 8 8 7 7 7 8 9 10 10 9 8 7 7 7 8 8 8 8 nan
nan 10 10 9 9 9 9 8 8 8 8 8 7 7 6 6 6 7 8 9 9 10 10 10 9 9 8 8 9 10 11 13 13 12 11 11 11 11 12 12 11 9 6 4 3 4 6 8 10 10 10 9 10 11 11 11 10 9 9 8 8 8 8 10 10 10 9 8 8 6 5 5 6 6 6 6 7 7 8 8 9 9 8 8 8 9 9 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 7 7 7 6 6 7 8 8 7 7 7 7 8 8 9 10 11 10 8 8 7 7 8 8 8 nan
nan 10 9 9 10 10 9 9 9 9 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 7 7 8 9 10 11 11 9 8 8 9 9 9 10 11 10 9 6 4 4 6 8 9 9 8 7 8 11 13 14 14 13 12 11 10 9 9 9 10 10 9 7 7 6 5 5 5 6 6 7 7 7 7 7 7 8 8 9 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 7 6 7 8 8 8 7 7 6 6 7 8 8 7 6 6 7 7 8 9 10 11 10 10 8 7 7 7 7 7 nan
nan 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 7 6 6 6 7 8 9 9 8 8 8 7 7 7 8 8 9 11 12 11 8 7 8 9 9 9 7 5 4 7 10 12 14 15 16 14 12 11 10 10 10 10 9 8 7 6 5 5 5 6 6 7 7 8 7 7 7 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 8 7 6 6 7 8 8 8 7 7 7 8 8 8 7 6 6 6 6 7 7 8 10 10 10 9 8 7 7 7 7 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 7 8 9 9 8 7 6 7 8 7 6 6 6 7 8 11 13 12 11 9 10 11 11 9 7 5 6 7 8 10 11 13 13 12 10 10 11 12 12 10 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 9 9 9 7 5 5 6 7 8 7 7 7 7 8 8 8 7 6 6 5 5 6 6 7 8 9 10 10 10 9 9 8 8 nan
nan 11 11 11 10 10 9 9 9 10 10 10 11 11 10 10 10 9 9 8 8 7 7 8 9 10 11 10 8 6 6 7 7 6 6 5 5 5 7 10 13 13 13 11 11 11 11 10 9 9 9 9 8 8 7 7 7 7 7 8 9 10 10 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 5 5 5 6 7 7 6 6 6 7 7 7 7 7 6 5 4 5 5 6 8 9 10 11 11 11 11 10 10 nan
nan 12 12 11 11 10 10 9 10 10 10 11 11 12 11 12 11 11 11 12 11 10 10 10 10 10 10 9 8 8 7 7 7 6 6 5 4 5 7 9 12 13 15 15 14 13 13 12 11 12 12 12 10 8 6 5 4 5 5 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 8 7 6 5 5 5 7 7 7 7 7 7 6 7 8 8 7 6 5 5 5 6 8 9 10 12 13 13 12 11 11 nan
nan 12 12 12 12 11 10 10 9 9 10 10 11 12 12 12 12 13 13 14 14 13 12 11 10 10 8 7 8 8 8 7 6 6 5 5 5 5 7 9 11 13 16 18 17 16 14 13 12 12 12 12 10 9 7 6 6 6 6 6 5 5 6 8 10 11 11 10 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 8 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 8 7 7 7 8 9 8 8 7 6 6 8 9 10 11 13 14 13 12 11 11 nan
nan 12 13 13 13 12 11 10 10 9 9 10 10 11 11 12 12 13 14 16 16 15 14 13 12 10 8 7 6 6 6 5 5 5 5 5 6 7 9 11 12 14 15 16 16 15 14 12 11 10 9 10 10 9 9 8 8 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 9 10 10 10 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 11 10 10 nan
nan 12 13 13 13 12 11 11 10 10 10 10 10 11 11 11 11 12 14 15 16 16 16 15 14 12 10 8 6 5 4 3 3 4 5 6 7 8 10 12 13 14 15 15 13 12 11 11 10 9 9 10 10 11 11 10 9 8 8 9 10 10 10 9 8 9 9 9 9 8 9 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 9 10 11 11 10 8 6 7 8 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 12 13 13 12 12 12 13 13 12 10 9 8 nan
nan 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 15 14 13 11 9 7 5 3 2 2 3 5 6 8 9 11 12 14 15 15 15 13 12 11 10 10 10 10 10 11 11 12 13 12 11 10 10 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 10 11 12 11 8 6 7 8 8 8 9 11 13 14 15 15 14 13 12 12 11 12 12 13 13 12 11 11 12 12 12 11 10 9 8 nan
nan 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 13 13 12 11 9 8 6 5 4 3 4 5 7 8 9 10 12 13 14 15 15 14 13 12 11 10 10 10 10 10 11 12 12 13 12 11 10 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 11 9 8 9 9 8 8 9 12 13 14 16 16 15 14 13 12 12 12 13 13 13 11 10 10 11 12 12 12 10 9 8 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 10 9 8 8 7 7 6 6 6 7 8 9 9 11 12 13 13 14 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 11 10 10 10 12 13 14 12 11 11 11 11 9 8 10 12 13 13 14 14 13 13 13 12 12 12 13 13 12 10 9 9 10 11 12 12 11 10 9 nan
nan 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 11 12 12 12 11 10 10 9 8 8 7 7 6 6 5 5 5 6 7 7 8 8 8 8 9 10 10 10 10 9 8 8 7 7 7 6 6 6 6 7 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 12 12 12 12 13 14 14 13 12 13 13 12 10 8 9 10 11 12 12 11 11 11 11 11 11 12 12 11 10 9 8 9 9 10 11 12 11 10 9 nan
nan 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 11 10 10 10 11 11 11 11 10 10 9 8 8 7 7 6 5 5 5 4 4 4 5 6 7 8 9 9 9 9 9 9 9 10 9 8 8 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 13 13 14 14 14 13 12 12 13 13 12 10 8 8 8 10 11 11 10 10 10 9 10 10 10 10 9 9 9 8 8 9 9 9 10 11 10 9 nan
nan 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 12 12 11 11 11 11 11 11 10 9 8 7 7 6 6 5 5 5 5 5 5 6 6 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 13 13 12 10 11 11 11 11 10 9 9 9 10 11 12 11 10 9 8 9 10 9 8 7 8 8 8 8 8 8 8 9 9 9 9 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 9 8 7 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 11 11 11 10 10 10 9 9 9 10 11 11 12 12 12 11 10 8 8 9 10 9 8 7 7 8 8 7 7 7 7 7 8 8 9 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 9 9 8 8 7 6 6 5 5 6 6 7 7 8 9 9 9 10 9 9 8 8 8 7 7 6 7 7 6 6 6 7 7 8 8 8 9 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 9 10 11 12 12 11 11 10 9 8 8 9 10 10 9 8 9 9 8 8 7 7 7 7 7 8 9 nan
nan 9 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 7 6 6 5 5 5 5 5 5 6 7 8 9 9 9 9 9 9 8 8 7 6 6 6 6 6 7 6 7 7 8 8 9 9 10 10 11 11 12 11 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 5 5 4 4 4 4 5 5 5 5 6 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 9 10 10 10 11 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 7 7 8 8 8 9 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 4 4 4 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 10 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 nan
nan 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 7 7 9 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 11 nan
nan 10 10 10 10 10 10 10 11 10 10 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 10 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 8 8 8 9 10 10 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 6 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 9 9 8 8 8 8 7 8 8 8 9 9 10 10 9 9 8 8 8 8 9 10 10 nan
nan 11 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 nan
nan 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 11 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 11 nan
nan 9 9 9 9 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 6 6 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 nan
nan 9 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 nan
nan 7 7 7 7 7 7 8 8 8 7 8 8 8 7 7 7 8 9 8 8 7 7 7 7 7 7 6 6 5 5 5 6 6 5 5 5 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 9 9 10 10 10 10 10 nan
nan 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 6 6 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 11 9 8 7 7 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 9 10 10 10 11 11 10 10 10 10 10 11 11 10 nan
nan 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 8 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 nan
nan 7 7 6 6 7 7 7 7 7 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 12 11 10 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 8 7 7 7 7 7 7 7 6 6 6 5 5 6 6 7 6 6 6 5 6 6 6 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 9 9 10 9 9 9 9 9 7 7 7 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 10 11 11 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1622 1593 1576 1571 1584 1615 1668 1744 1824 1893 1969 2031 2070 2087 2088 2074 2039 2019 2018 2014 1985 1920 1832 1756 1668 1634 1633 1638 1614 1572 1542 1527 1533 1549 1465 1435 1429 1426 1423 1410 1421 1408 1342 1268 1242 1250 1264 1284 1315 1335 1392 1443 1498 1543 1580 1621 1658 1666 1633 1524 1379 1261 1175 1122 1120 1120 1095 1100 1147 1233 1355 1474 1578 1776 1934 2083 2217 2313 2350 2331 2270 2190 2124 2013 1931 1880 1838 1787 1725 1659 1611 1489 1484 1444 1453 1497 1517 1503 1484 1445 1411 1379 1318 1243 1195 1181 1133 1091 1106 1107 1124 1195 1323 1464 1575 1675 1741 1749 1724 1777 1787 1622 1479 1323 1146 1030 982 1022 1128 1252 1359 1452 1520 1612 1670
1586 1539 1513 1505 1515 1544 1592 1659 1729 1801 1867 1912 1962 2015 2027 1968 1915 1920 1957 1981 1971 1915 1818 1715 1631 1601 1597 1599 1590 1567 1533 1502 1516 1550 1454 1437 1442 1438 1431 1418 1408 1394 1344 1277 1245 1245 1257 1278 1301 1328 1358 1403 1461 1523 1575 1616 1664 1700 1738 1648 1515 1395 1309 1253 1212 1167 1163 1231 1297 1379 1495 1614 1701 1850 2021 2148 2248 2328 2358 2341 2307 2226 2146 2054 1989 1948 1912 1879 1850 1809 1750 1643 1586 1530 1499 1499 1509 1509 1504 1462 1460 1464 1430 1370 1313 1245 1158 1157 1203 1256 1334 1458 1602 1707 1761 1818 1830 1766 1695 1659 1587 1411 1183 934 759 685 674 729 838 968 1109 1205 1190 1191 1176
1594 1518 1459 1435 1447 1487 1539 1590 1628 1716 1783 1830 1890 1952 1963 1915 1861 1819 1893 1945 1948 1896 1788 1681 1606 1575 1566 1564 1553 1527 1495 1480 1493 1496 1449 1435 1438 1434 1419 1397 1386 1381 1300 1256 1239 1234 1238 1249 1261 1279 1308 1354 1418 1489 1553 1601 1641 1642 1726 1703 1619 1523 1444 1386 1334 1273 1274 1342 1445 1563 1688 1798 1873 1992 2128 2222 2324 2401 2424 2406 2364 2300 2234 2180 2132 2097 2082 2072 2041 1982 1922 1821 1735 1664 1601 1555 1541 1531 1515 1485 1490 1500 1494 1470 1438 1389 1327 1353 1442 1548 1676 1811 1902 1917 1905 1894 1796 1656 1523 1396 1234 987 701 499 414 396 414 465 555 684 857 910 823 765 728
1587 1495 1426 1390 1398 1440 1489 1523 1562 1647 1722 1784 1841 1886 1900 1872 1826 1750 1829 1895 1898 1840 1747 1659 1580 1530 1512 1510 1499 1459 1414 1420 1451 1445 1429 1415 1413 1413 1396 1361 1336 1314 1266 1233 1218 1213 1214 1222 1231 1247 1280 1327 1386 1454 1524 1581 1625 1644 1702 1725 1702 1646 1581 1524 1480 1432 1428 1447 1552 1721 1888 1999 2062 2200 2275 2335 2429 2494 2502 2477 2426 2379 2355 2344 2352 2366 2365 2316 2199 2072 1998 1909 1828 1767 1718 1673 1634 1585 1540 1498 1484 1491 1509 1529 1549 1562 1626 1700 1792 1877 1952 2007 2000 1956 1883 1776 1576 1343 1111 884 661 430 301 207 174 174 199 253 337 465 717 743 690 642 581
1575 1483 1429 1392 1388 1415 1445 1469 1505 1568 1644 1718 1785 1838 1865 1855 1823 1717 1764 1826 1829 1770 1683 1592 1505 1450 1436 1443 1442 1423 1402 1405 1425 1436 1446 1432 1398 1373 1359 1327 1299 1269 1235 1211 1198 1194 1198 1204 1212 1227 1251 1293 1351 1422 1495 1558 1603 1626 1666 1704 1733 1729 1691 1649 1608 1582 1587 1604 1692 1864 2066 2203 2231 2349 2459 2509 2562 2590 2572 2536 2526 2553 2601 2660 2701 2676 2562 2381 2164 1970 1859 1799 1765 1731 1689 1649 1607 1564 1531 1499 1487 1509 1564 1637 1724 1785 1860 1951 2028 2033 1971 1894 1791 1692 1533 1343 1113 860 612 410 274 187 122 85 63 61 85 134 208 359 567 688 749 740 683
1559 1475 1427 1401 1393 1394 1393 1404 1438 1496 1563 1634 1700 1754 1787 1790 1741 1691 1731 1767 1761 1709 1620 1513 1436 1397 1389 1411 1438 1448 1437 1421 1420 1434 1443 1426 1378 1338 1320 1290 1268 1259 1223 1193 1182 1185 1191 1196 1205 1212 1232 1274 1336 1408 1480 1544 1599 1647 1673 1699 1745 1769 1752 1739 1711 1692 1691 1724 1828 2014 2238 2412 2450 2505 2600 2658 2690 2693 2677 2677 2748 2833 2884 2856 2786 2637 2409 2173 1955 1786 1687 1620 1584 1554 1515 1492 1480 1475 1528 1564 1597 1644 1698 1743 1802 1851 1898 1911 1903 1833 1683 1528 1364 1184 969 740 518 340 226 145 94 83 77 49 23 20 43 86 161 339 510 662 750 735 635
1535 1469 1431 1407 1392 1377 1360 1359 1390 1440 1496 1557 1613 1660 1695 1697 1674 1665 1700 1726 1710 1650 1556 1447 1385 1359 1339 1374 1418 1438 1434 1427 1435 1428 1392 1359 1317 1281 1267 1252 1234 1236 1210 1179 1169 1177 1186 1188 1192 1198 1233 1297 1378 1465 1549 1623 1682 1730 1748 1761 1791 1805 1788 1788 1781 1771 1775 1823 1964 2176 2393 2565 2666 2709 2756 2787 2792 2794 2828 2897 2975 2930 2766 2535 2308 2116 1955 1810 1675 1569 1491 1395 1310 1251 1223 1257 1329 1298 1427 1522 1589 1651 1669 1647 1613 1599 1597 1509 1405 1311 1178 1029 848 645 454 287 164 102 90 77 54 24 8 2 2 8 23 56 129 296 493 649 706 655 550
1528 1465 1432 1406 1379 1349 1318 1304 1332 1385 1437 1493 1541 1581 1613 1625 1623 1636 1674 1697 1669 1600 1508 1402 1322 1292 1269 1304 1349 1373 1385 1406 1417 1382 1321 1277 1244 1224 1223 1224 1212 1216 1205 1170 1157 1169 1178 1182 1196 1236 1307 1407 1517 1623 1716 1797 1860 1882 1886 1885 1889 1885 1861 1846 1854 1874 1901 1984 2151 2361 2551 2708 2828 2887 2907 2908 2903 2904 2923 2960 2840 2547 2214 1931 1727 1606 1544 1481 1387 1280 1165 1039 929 858 831 861 929 967 1133 1273 1363 1431 1451 1397 1309 1211 1087 953 846 765 673 548 403 256 146 77 54 67 65 45 22 8 1 0 0 1 2 15 66 187 384 564 627 559 446
1531 1470 1429 1396 1364 1332 1303 1284 1299 1345 1391 1443 1488 1528 1562 1579 1589 1618 1657 1678 1645 1568 1463 1335 1263 1260 1243 1273 1320 1335 1313 1303 1309 1316 1300 1263 1233 1221 1221 1219 1202 1206 1211 1180 1164 1173 1182 1197 1247 1349 1484 1627 1750 1840 1910 1988 2062 2088 2102 2091 2067 2037 1994 1960 1980 2023 2078 2206 2409 2640 2839 2949 3003 3051 3037 3000 2992 2981 2856 2622 2254 1880 1584 1405 1341 1347 1337 1214 1058 899 752 639 567 528 516 534 612 725 886 1047 1188 1297 1331 1192 944 724 528 421 393 361 300 216 143 80 36 14 10 12 7 3 1 0 0 0 0 0 0 0 17 70 212 392 478 411 264
1516 1457 1413 1378 1344 1313 1285 1264 1268 1306 1358 1411 1458 1501 1538 1563 1578 1611 1647 1660 1613 1517 1410 1325 1300 1263 1234 1253 1302 1337 1344 1347 1311 1301 1278 1257 1248 1254 1262 1246 1207 1217 1225 1202 1184 1188 1209 1265 1394 1588 1781 1918 1984 2006 2033 2088 2176 2308 2405 2434 2400 2319 2211 2134 2131 2205 2309 2482 2716 2948 3097 3110 3066 3097 3099 3029 2920 2761 2445 2025 1619 1312 1098 997 1006 1062 1055 867 688 553 456 398 372 367 375 404 490 608 756 927 1109 1272 1341 1047 676 430 279 196 163 140 107 72 46 26 11 4 3 4 0 0 0 0 0 0 0 0 0 0 2 19 101 231 292 236 116
1491 1440 1400 1365 1328 1300 1283 1268 1267 1290 1340 1393 1442 1486 1523 1551 1569 1612 1641 1646 1613 1521 1401 1325 1297 1258 1231 1264 1336 1380 1377 1378 1315 1282 1273 1284 1301 1308 1294 1265 1215 1213 1224 1219 1215 1241 1318 1464 1688 1927 2091 2152 2130 2082 2065 2084 2204 2471 2726 2854 2834 2696 2494 2366 2342 2466 2631 2819 3014 3165 3196 3128 3126 3194 3160 2944 2589 2183 1763 1401 1116 913 760 679 654 625 586 482 392 337 311 305 307 318 332 367 442 536 641 757 877 955 872 668 431 259 157 102 77 61 42 23 11 7 6 4 3 5 1 0 0 0 0 0 0 0 0 0 0 16 76 178 241 193 81
1448 1409 1384 1355 1316 1291 1284 1282 1280 1290 1328 1379 1427 1473 1515 1550 1578 1634 1642 1641 1621 1556 1451 1346 1274 1253 1245 1282 1327 1345 1342 1345 1317 1282 1262 1261 1272 1283 1284 1276 1250 1251 1275 1282 1313 1421 1622 1883 2137 2321 2375 2330 2243 2162 2125 2171 2372 2694 2998 3179 3191 3053 2851 2740 2700 2814 3004 3207 3357 3389 3284 3194 3160 3005 2681 2253 1819 1437 1125 922 748 625 527 451 396 344 284 254 244 238 245 260 271 281 290 308 342 390 444 505 560 551 464 348 241 159 100 62 52 44 25 10 4 8 15 18 10 3 2 1 0 0 0 0 1 0 0 0 5 33 102 193 203 166 89
1425 1389 1368 1342 1308 1283 1276 1281 1282 1281 1309 1357 1405 1458 1513 1558 1589 1638 1645 1641 1619 1560 1461 1352 1282 1282 1270 1287 1296 1300 1319 1335 1322 1290 1272 1277 1295 1317 1339 1350 1349 1364 1410 1486 1641 1899 2216 2492 2652 2706 2665 2561 2447 2371 2368 2466 2688 2882 3055 3175 3186 3093 3005 2973 2913 2967 3129 3328 3466 3471 3347 3227 2979 2548 2007 1497 1125 886 700 560 454 392 340 287 242 202 169 167 175 178 183 194 209 217 217 223 233 241 263 307 327 301 258 222 177 128 85 54 39 30 16 5 3 10 21 27 21 18 12 5 1 0 0 0 3 5 7 11 31 89 186 245 209 177 134
1419 1377 1348 1321 1298 1283 1279 1281 1277 1268 1289 1334 1386 1453 1526 1587 1627 1648 1648 1639 1610 1547 1453 1354 1287 1278 1265 1261 1264 1279 1304 1320 1319 1313 1321 1342 1384 1433 1467 1495 1549 1622 1756 2007 2338 2650 2846 2909 2908 2839 2774 2654 2501 2386 2329 2282 2358 2428 2506 2544 2503 2417 2389 2421 2404 2446 2567 2727 2875 2982 2991 2824 2465 1966 1433 999 734 582 467 390 328 271 220 181 157 140 125 122 123 122 120 125 139 145 146 153 153 149 158 187 197 188 183 176 152 117 84 58 34 22 12 4 1 4 10 16 22 22 14 5 1 0 1 4 11 24 47 92 149 204 303 329 367 324 232
1443 1387 1346 1313 1294 1286 1283 1280 1273 1259 1278 1324 1385 1464 1550 1621 1666 1672 1655 1632 1590 1515 1420 1335 1280 1265 1250 1240 1249 1277 1311 1337 1347 1363 1400 1450 1529 1617 1680 1747 1881 2062 2302 2617 2889 2989 2897 2676 2514 2360 2233 2092 1942 1827 1752 1598 1547 1513 1516 1510 1460 1384 1349 1376 1378 1417 1512 1629 1731 1829 1924 1850 1599 1243 875 588 431 362 315 279 244 204 163 129 108 96 88 82 77 73 71 76 87 93 99 103 101 96 96 109 122 118 97 101 106 92 64 40 25 17 12 5 0 0 2 5 8 4 1 0 1 2 6 12 23 44 76 136 227 314 358 367 356 319 264
1540 1447 1379 1330 1303 1293 1285 1280 1282 1278 1298 1348 1417 1496 1575 1643 1686 1690 1665 1639 1588 1502 1409 1341 1278 1258 1244 1247 1268 1300 1335 1368 1408 1456 1525 1634 1792 1955 2075 2175 2343 2556 2765 2911 2864 2622 2346 2025 1807 1639 1474 1322 1216 1174 1152 1064 996 899 821 770 726 674 653 657 641 650 713 806 885 942 1002 977 843 650 458 324 271 249 230 213 193 174 155 131 100 80 65 56 47 40 39 43 49 58 66 67 65 65 66 65 61 56 38 25 30 40 38 36 21 9 6 4 1 1 1 1 1 0 1 4 9 17 22 28 48 87 146 231 331 360 350 341 321 303 271
1669 1550 1449 1375 1329 1310 1294 1287 1302 1320 1350 1417 1492 1561 1620 1667 1702 1716 1692 1663 1594 1500 1410 1344 1293 1265 1265 1289 1327 1373 1417 1457 1503 1576 1688 1870 2116 2367 2549 2650 2803 2937 2961 2807 2471 2054 1713 1433 1231 1086 973 880 817 786 742 670 595 503 435 396 365 327 313 308 300 299 326 376 428 477 533 539 476 382 297 246 226 212 203 195 186 175 161 140 112 89 71 54 38 25 21 23 25 34 40 43 43 44 42 34 25 26 20 11 7 6 11 18 9 3 1 2 2 2 3 4 16 15 14 29 56 84 102 137 173 230 319 416 488 454 394 347 284 231 203
1648 1607 1530 1453 1393 1360 1337 1326 1343 1377 1427 1510 1593 1656 1698 1728 1753 1754 1721 1676 1607 1524 1443 1380 1339 1319 1322 1351 1401 1455 1504 1551 1610 1717 1884 2118 2390 2644 2829 2946 3090 3094 2900 2538 2095 1665 1305 1042 869 745 655 585 526 474 407 328 250 191 169 165 154 133 118 108 108 114 127 150 182 216 255 284 289 274 254 237 221 207 202 197 188 175 162 148 129 104 80 58 36 20 14 13 12 15 17 18 16 12 9 6 7 7 4 1 1 1 2 3 1 0 0 1 3 7 9 17 34 49 70 106 152 204 250 325 372 416 479 529 546 517 466 411 329 238 180
1238 1409 1490 1511 1490 1463 1432 1412 1422 1463 1524 1600 1673 1731 1767 1787 1800 1779 1732 1679 1631 1578 1523 1477 1443 1412 1403 1427 1478 1540 1603 1666 1742 1890 2106 2366 2631 2862 3031 3141 3208 3042 2662 2177 1695 1289 982 772 633 519 427 352 287 227 168 119 81 55 46 45 41 35 27 19 19 24 33 42 54 66 91 124 151 169 184 202 213 201 196 191 182 172 163 149 128 103 83 61 39 23 14 8 4 3 3 3 2 2 1 1 1 1 1 1 1 2 1 0 0 0 0 1 2 8 14 32 63 103 146 191 247 332 398 456 489 503 515 513 492 474 453 419 356 264 175
584 857 1131 1357 1482 1534 1539 1531 1540 1580 1639 1690 1738 1785 1821 1838 1830 1789 1737 1696 1670 1648 1616 1573 1532 1505 1495 1511 1552 1614 1688 1771 1890 2079 2321 2572 2820 3038 3189 3273 3178 2835 2326 1786 1324 986 758 584 459 351 260 187 132 88 53 31 18 10 7 6 6 6 4 2 2 3 4 6 8 9 13 26 40 49 56 66 96 125 132 135 137 136 128 111 95 81 70 59 45 31 19 10 3 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 0 0 0 0 0 8 15 34 69 115 169 240 326 414 470 487 470 440 426 418 405 390 373 350 300 214 115
131 276 546 871 1167 1387 1529 1607 1653 1699 1754 1785 1815 1845 1868 1867 1838 1798 1759 1734 1720 1707 1683 1646 1616 1587 1581 1594 1632 1697 1784 1902 2076 2290 2547 2773 2985 3174 3288 3290 3016 2514 1940 1427 1044 787 609 448 325 228 154 99 59 32 17 7 4 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 3 5 5 8 25 40 48 50 49 46 43 43 41 41 41 38 34 31 25 10 3 3 3 3 1 1 1 1 1 1 1 2 1 1 1 0 0 0 0 0 5 11 22 40 66 104 198 323 376 374 337 290 257 239 229 231 249 267 264 223 138 53
10 37 132 340 629 941 1242 1498 1683 1790 1855 1888 1909 1921 1922 1905 1868 1828 1801 1784 1768 1754 1735 1710 1686 1667 1670 1697 1752 1835 1955 2126 2361 2588 2829 3026 3196 3327 3346 3161 2698 2109 1554 1125 829 619 455 320 217 139 84 46 22 9 7 4 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 2 4 6 7 6 2 4 8 11 13 15 18 26 37 39 22 10 6 6 4 1 1 1 1 1 1 1 2 1 1 0 0 0 0 0 0 1 2 6 16 43 104 198 245 238 193 140 99 75 79 92 141 203 232 207 176 118 60
1 2 13 60 192 407 700 1060 1430 1725 1882 1971 2013 2023 2011 1978 1929 1877 1837 1826 1826 1813 1795 1784 1775 1775 1796 1850 1945 2081 2264 2502 2756 2970 3161 3309 3392 3372 3190 2783 2219 1634 1147 794 553 382 264 182 117 67 34 15 6 3 3 3 2 2 2 3 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 9 21 25 16 9 6 5 3 1 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 6 34 107 181 209 180 119 63 30 22 50 84 130 161 162 150 124 106 84
0 1 2 4 26 92 225 463 816 1239 1621 1881 2032 2099 2108 2078 2024 1960 1900 1883 1900 1896 1881 1880 1887 1908 1958 2052 2218 2442 2708 2998 3186 3257 3299 3283 3154 2890 2509 2020 1547 1097 735 470 288 169 111 79 44 21 9 4 2 2 2 2 2 2 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 5 9 11 12 12 9 5 3 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 13 74 181 256 259 212 174 166 167 164 170 172 155 123 106 95 97 96
0 0 0 1 2 9 33 102 250 536 1012 1475 1820 2034 2136 2157 2127 2071 2003 1974 1981 1979 1977 1995 2025 2061 2159 2333 2597 2859 3045 3147 3110 2938 2751 2519 2191 1795 1420 1089 822 586 391 242 139 78 55 40 17 6 3 2 3 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 2 4 7 8 8 8 4 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 23 89 177 232 245 256 295 312 296 278 250 205 162 132 118 115 108
0 0 0 0 0 0 2 10 37 140 421 866 1361 1771 2030 2151 2183 2165 2115 2082 2069 2066 2086 2135 2196 2264 2463 2740 3001 3103 2980 2692 2314 1941 1644 1379 1079 766 539 393 305 231 166 108 66 44 27 16 6 3 2 2 2 2 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 2 2 2 2 2 2 2 2 1 2 1 1 1 0 0 0 0 0 0 0 0 1 1 10 34 67 99 131 187 279 317 316 297 263 222 183 153 131 114
1 1 1 0 0 0 0 1 3 26 116 360 814 1361 1818 2095 2210 2249 2223 2187 2163 2166 2205 2280 2388 2578 2896 3107 3120 2889 2446 1904 1360 996 756 582 413 253 159 103 84 69 53 41 32 18 5 2 2 2 2 3 3 2 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 1 0 0 0 0 1 2 3 2 2 2 2 6 20 45 109 170 211 228 233 222 193 153 118 97
1 1 2 1 0 0 0 0 1 4 24 102 349 896 1500 1944 2168 2259 2269 2253 2253 2285 2357 2485 2692 3030 3212 3152 2846 2355 1776 1215 732 511 362 252 164 99 63 40 27 18 14 17 19 6 1 2 2 2 2 3 2 2 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 3 3 3 2 3 4 5 6 9 6 4 3 2 1 1 1 4 16 31 47 71 97 102 111 102 87 76
1 1 1 0 0 0 0 0 0 0 3 16 82 499 1115 1688 2066 2246 2295 2319 2368 2439 2579 2812 3096 3343 3207 2889 2436 1898 1350 881 523 369 249 163 106 68 44 28 14 6 4 6 8 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 3 4 6 10 15 20 15 8 5 4 3 2 2 2 1 1 2 3 4 12 21 30 37 40 37
1 1 0 0 0 0 0 0 0 0 0 3 16 261 777 1391 1908 2214 2319 2381 2499 2629 2838 3115 3333 3334 3004 2584 2132 1669 1217 819 533 355 239 167 120 87 64 43 23 8 2 1 1 1 1 2 3 3 3 3 2 2 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 4 15 20 15 9 6 6 4 4 3 3 2 2 2 1 1 1 2 2 3 6 8
0 0 0 0 0 0 0 0 0 0 1 2 7 116 479 1071 1711 2170 2343 2459 2660 2874 3106 3302 3339 3127 2735 2340 1956 1550 1125 745 481 332 250 203 167 133 103 80 47 20 6 2 1 1 2 3 3 4 4 3 2 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 0 0 4 5 3 3 5 5 5 5 4 3 3 3 3 2 2 2 1 2 2 1 1
0 0 0 0 0 0 0 0 0 0 1 1 4 29 197 590 1228 1966 2402 2619 2892 3131 3302 3359 3234 2904 2516 2152 1835 1445 1001 684 480 347 270 234 207 173 141 98 55 25 10 5 3 3 3 4 4 4 4 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 1 2 3 4 4 4 5 5 5 5 4 5 4 3 3 3 3 2 2
0 0 0 0 0 0 0 0 0 0 0 1 2 7 46 179 630 1495 2373 2808 3120 3311 3378 3304 3079 2730 2365 2019 1711 1347 952 685 506 357 276 242 216 178 136 82 41 18 8 5 5 4 5 4 4 4 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 2 1 1 2 2 2 2 1 1 1 1 1 1 1 1 0 0 1 2 2 3 3 3 3 4 4 4 5 5 4 3 2 3 3 3 2 2
0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 27 175 637 1539 2259 2751 3105 3270 3197 2914 2583 2247 1913 1603 1277 943 677 516 398 308 249 201 144 85 36 13 6 5 5 4 4 4 4 4 4 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 2 3 3 2 2 2 3 3 4 5 4 3 2 2 2 2 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 8 28 92 244 678 1292 1894 2416 2714 2665 2379 2113 1823 1546 1265 974 705 554 439 324 227 147 80 31 8 3 3 4 4 3 4 4 3 3 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 2 2 2 3 4 3 2 1 1 1 1 0 0
0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 7 8 9 58 202 479 971 1599 2119 2194 2001 1759 1511 1256 983 704 542 395 258 151 76 28 6 2 2 3 4 4 4 3 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 2 2 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 1 1 1 2 2 1 2 3 4 4 3 2 8 34 175 488 918 1256 1427 1356 1178 981 780 556 402 258 146 69 24 5 1 3 4 4 4 4 3 2 1 1 2 2 1 1 1 1 1 1 1 1 0 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 2 1 1 2 2 2 2 2 2 1 1 11 59 157 250 326 399 431 432 400 311 213 109 43 12 2 0 1 2 4 4 3 2 2 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1 1 1 3 8 17 18 29 56 88 103 88 51 17 4 0 0 1 2 3 3 2 2 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 2 3 5 7 4 1 0 0 1 1 1 2 2 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 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 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 1 1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 4 4 3 2 2 1 1 1 1 1 1 1 1 1 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 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
5 5 5 5 4 3 2 2 2 1 1 1 1 1 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 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 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
5 6 6 5 4 3 3 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 5 5 4 4 3 3 3 2 2 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
5 4 4 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
5 4 3 3 3 2 2 2 3 3 2 2 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 3 3 3 2 2 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 2 2 2 2 2 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 2 2 2 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 1 1 1 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 3 3 2 2 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 4 4 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 6 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 5 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 8 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0
12 10 8 7 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 4
17 15 13 11 9 7 6 4 3 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 13 10
23 21 18 15 12 11 8 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 15 14
22 20 18 15 13 11 9 8 7 6 5 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 15 15 14
16 13 12 11 10 7 7 5 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 17 16 14
12 9 7 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 8 14 16 15
7 5 2 1 1 2 1 1 2 2 0 0 0 0 1 1 1 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 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 2 6 10 14 16