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