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 18 18 15 10 7 9 10 10 8 7 6 6 7 8 9 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 7 8 8 8 8 7 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 9 10 11 13 14 14 14 14 14 14 14 13 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 nan
nan 16 17 16 11 8 10 11 11 9 6 6 6 7 8 9 10 9 9 9 8 7 7 8 8 8 8 8 8 8 9 9 8 8 8 9 8 7 6 6 7 7 8 8 7 6 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 7 6 7 7 7 8 8 9 10 11 11 11 11 12 12 12 12 11 11 10 10 10 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 8 nan
nan 14 16 16 13 10 10 12 12 10 7 6 6 7 9 10 10 9 9 7 6 6 8 9 9 9 9 9 9 9 10 10 9 9 10 10 10 8 7 6 6 7 8 8 8 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 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 nan
nan 11 14 15 14 12 12 14 14 10 7 5 5 7 9 11 10 9 7 5 5 6 8 9 9 9 9 9 9 10 10 9 10 10 11 12 11 10 8 7 7 7 8 9 9 9 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 11 12 13 13 14 15 14 10 7 5 5 7 10 11 10 8 5 4 5 7 9 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 9 7 7 8 9 10 10 9 8 7 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 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 7 9 10 11 12 13 14 12 10 7 5 6 8 10 10 9 6 5 6 8 10 10 9 8 8 8 9 9 9 9 10 10 10 11 12 14 14 12 9 7 7 7 9 10 10 10 9 7 6 6 7 8 8 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 11 12 12 11 10 8 8 8 8 7 6 5 6 8 10 12 10 8 7 7 8 8 8 9 9 9 9 9 10 12 14 14 10 6 5 4 5 7 9 10 10 9 7 7 7 7 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 9 11 12 14 14 13 12 9 7 5 4 4 4 6 9 11 12 11 10 8 7 8 9 9 9 8 8 8 9 10 11 11 10 5 2 -0 -0 1 3 5 7 7 7 6 7 7 8 7 7 6 6 6 5 5 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 7 8 8 9 10 12 13 15 16 15 13 9 6 5 4 4 5 7 8 10 11 11 10 8 8 9 9 9 8 8 8 8 9 9 9 7 4 1 -1 -3 -3 -2 -1 -1 -0 1 2 4 6 8 7 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 6 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 6 nan
nan 7 8 9 9 11 12 13 15 16 16 12 8 6 5 6 6 6 7 8 9 9 9 8 8 9 9 9 8 8 9 9 10 9 9 7 6 3 2 1 1 1 0 -1 -2 -3 -3 -1 2 5 6 6 5 4 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 8 9 10 11 11 12 14 16 15 11 8 6 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 9 10 10 10 9 8 7 7 6 6 6 6 6 6 5 3 3 3 4 6 7 5 2 1 3 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 5 4 4 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 nan
nan 8 8 8 10 10 10 11 13 14 13 10 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 7 8 8 8 7 7 8 9 10 11 12 14 14 11 6 3 3 5 6 6 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 7 8 8 8 8 7 7 6 nan
nan 8 7 7 9 9 10 11 12 11 11 10 9 8 8 8 8 9 9 9 9 9 9 8 7 8 8 9 9 10 9 8 8 8 8 8 8 7 7 6 5 5 5 7 10 13 14 16 15 10 7 7 9 10 8 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 8 8 7 7 7 7 8 8 7 7 8 8 8 8 7 7 6 nan
nan 9 7 8 8 9 10 11 10 10 10 10 9 9 8 7 8 8 9 9 9 9 8 8 7 7 7 7 8 9 9 8 8 8 8 8 7 7 6 5 5 4 4 5 6 7 8 8 5 3 3 6 8 7 4 3 4 5 5 6 6 6 6 5 3 2 1 3 4 5 5 5 5 6 6 7 7 8 8 8 8 9 8 8 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 nan
nan 9 8 8 8 9 9 10 10 10 11 11 10 9 8 8 7 8 9 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 7 7 6 7 7 6 6 5 4 4 3 2 -0 -1 -1 1 2 0 -1 -1 -0 1 2 4 5 4 3 1 -1 -3 -1 3 6 7 7 7 7 7 8 8 9 9 10 10 10 11 10 10 9 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 nan
nan 10 10 9 9 9 9 10 10 11 12 11 11 10 9 8 8 8 9 9 10 10 10 9 8 7 6 6 6 7 6 6 6 7 8 8 9 8 8 8 8 8 7 7 6 5 4 3 2 2 3 3 2 1 -0 -1 -1 -1 1 2 2 0 -1 -2 -4 -2 3 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 nan
nan 12 11 10 10 10 10 11 11 11 11 11 11 10 9 8 8 9 10 10 11 11 10 9 9 7 7 7 7 7 6 6 6 6 8 10 11 11 10 10 8 8 8 8 8 7 7 6 6 7 7 6 5 5 4 3 3 3 4 3 1 -1 -2 -2 -1 3 7 9 8 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 nan
nan 13 12 11 11 11 12 12 11 11 11 12 12 10 9 8 9 10 11 11 11 10 10 9 9 8 8 8 9 8 7 6 6 5 8 11 12 13 13 11 9 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 6 4 2 2 2 4 6 7 8 7 5 6 7 8 9 10 10 10 11 11 10 11 11 11 11 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 nan
nan 14 13 12 11 11 12 12 11 11 12 12 12 10 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 8 7 6 5 6 8 10 13 15 15 12 10 9 8 7 7 8 8 9 9 9 8 8 7 8 8 8 9 9 9 8 7 6 6 6 6 7 8 9 9 9 9 10 11 12 11 10 10 10 11 10 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 nan
nan 14 13 12 11 11 10 10 10 11 11 12 11 10 11 12 12 12 11 10 10 10 10 9 10 10 10 9 8 8 7 6 5 6 8 10 12 16 17 14 12 10 8 7 8 8 9 10 11 10 9 9 8 8 8 9 9 9 10 9 9 9 9 9 9 9 11 13 13 13 12 13 13 12 11 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 7 6 nan
nan 14 13 11 10 9 9 10 11 11 11 10 10 11 13 13 13 12 11 11 10 10 10 10 10 9 9 9 9 8 7 6 5 6 7 9 13 17 17 15 12 9 8 9 9 9 10 11 12 12 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 12 15 17 16 14 12 12 12 11 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 12 12 9 8 7 8 10 11 11 10 10 11 13 14 14 13 12 12 11 11 11 11 10 10 10 11 11 11 10 8 6 5 6 7 8 12 14 14 13 11 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 10 11 11 12 12 13 13 14 17 21 21 18 13 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 10 8 7 7 8 11 12 12 11 11 12 13 13 13 13 12 12 12 12 13 12 11 11 12 13 13 12 11 8 7 6 6 6 7 9 10 11 13 12 11 10 10 9 8 9 10 11 12 11 10 10 9 9 10 10 10 11 12 13 14 15 16 20 24 25 24 19 14 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 nan
nan 11 10 8 7 7 9 11 12 12 11 11 12 12 13 13 13 12 12 12 13 13 12 12 12 13 13 13 11 9 8 8 7 7 6 6 6 7 10 13 13 13 11 9 7 7 8 9 11 12 11 11 11 10 9 10 10 10 11 12 13 14 16 20 24 27 27 24 19 15 13 13 12 12 11 11 10 10 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 nan
nan 13 10 7 7 7 8 9 11 11 11 12 12 13 14 15 15 14 13 12 12 11 11 11 12 12 11 9 8 7 7 7 7 7 6 5 5 7 12 14 14 13 11 8 6 6 7 8 11 12 12 12 11 10 10 9 9 10 11 12 13 14 16 19 22 23 23 21 18 16 15 14 13 12 12 12 11 11 11 10 10 10 10 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 14 12 10 9 8 8 8 8 9 11 13 13 15 17 17 17 15 13 11 10 9 10 11 11 11 10 9 8 7 7 8 8 8 7 6 6 8 12 14 14 13 9 6 6 5 5 8 10 11 12 13 11 10 10 10 10 11 11 12 13 13 14 14 15 16 18 19 18 16 15 14 14 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 nan
nan 15 14 15 13 10 9 8 7 9 12 13 15 17 19 18 17 14 11 10 9 10 11 11 12 12 11 11 11 10 10 10 11 10 9 7 7 9 12 13 14 11 7 6 6 5 6 8 9 11 13 13 11 10 10 10 11 11 12 12 12 12 11 11 12 16 19 19 18 16 14 14 14 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 nan
nan 14 16 16 14 13 11 9 9 11 12 14 16 18 18 17 15 13 12 12 12 13 12 12 12 13 13 13 14 14 13 12 11 10 9 9 9 10 12 14 14 11 9 8 7 6 6 8 9 10 13 12 11 10 9 10 10 11 11 11 11 11 11 12 16 20 21 20 18 15 14 14 14 14 13 13 12 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 nan
nan 13 15 14 14 14 14 12 12 13 13 14 15 16 16 16 15 14 14 15 16 15 14 13 13 13 13 14 14 14 12 10 9 9 9 10 11 12 13 14 14 13 11 9 7 7 7 7 8 11 13 12 11 10 9 9 10 10 11 11 11 11 12 14 18 20 20 19 15 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 nan
nan 14 14 14 14 16 16 16 16 15 14 14 14 14 14 14 15 15 16 16 17 17 16 15 14 13 12 12 11 10 7 6 5 5 7 9 11 12 13 14 15 14 13 11 8 8 8 8 10 12 12 12 11 9 9 9 9 10 11 11 12 12 12 14 16 16 17 15 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 10 9 9 9 8 7 7 7 7 7 7 6 nan
nan 14 14 16 17 19 20 21 21 20 18 17 15 14 13 13 14 14 14 14 15 16 15 14 13 11 10 8 7 5 3 2 2 3 4 6 8 10 12 13 14 16 15 13 10 9 9 9 10 11 11 11 10 9 9 9 9 10 11 11 12 12 13 13 13 13 14 15 15 16 16 15 15 15 15 15 14 14 14 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 nan
nan 14 15 17 20 23 25 27 27 27 27 25 23 19 15 13 13 12 13 12 11 11 10 10 9 7 6 5 4 3 3 3 3 3 4 5 6 8 10 12 15 17 17 15 13 10 9 9 10 10 11 11 9 9 9 8 9 10 10 11 11 12 12 12 12 12 13 15 17 18 18 17 17 16 16 15 15 15 14 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 nan
nan 16 15 15 17 20 23 26 28 30 32 33 33 29 25 21 16 14 12 11 9 8 7 6 6 5 4 4 3 3 4 4 5 5 5 5 6 7 8 11 14 17 18 17 14 11 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 13 12 13 16 18 19 19 18 17 16 15 15 14 14 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 nan
nan 14 12 12 12 12 14 17 20 22 26 30 34 35 34 31 27 22 17 13 10 8 7 6 6 6 6 6 5 5 6 6 6 7 7 6 7 7 8 10 12 15 16 16 14 12 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 12 12 11 10 12 15 17 18 18 16 15 15 14 14 13 13 13 13 13 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 5 4 3 2 2 nan
nan 9 8 8 8 8 8 8 10 12 15 20 25 30 34 36 35 31 24 18 12 10 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 9 10 11 13 14 15 14 13 11 10 10 10 11 11 10 9 8 8 8 8 9 9 8 8 8 9 11 10 10 9 8 9 12 15 15 14 14 14 14 13 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 4 3 2 1 -0 -0 nan
nan 5 5 6 6 6 5 4 4 6 8 12 16 21 27 32 35 33 28 22 15 11 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 11 12 13 14 15 14 12 11 10 11 11 10 9 8 7 7 7 8 9 8 8 8 8 9 10 10 10 9 6 4 4 6 8 9 10 11 12 12 12 12 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 3 2 1 1 1 2 2 nan
nan 1 2 3 4 3 3 2 1 1 2 5 11 15 20 26 31 31 28 23 17 13 11 10 11 12 12 12 12 11 10 10 10 10 9 8 8 8 8 9 10 11 12 14 16 15 13 11 10 10 10 9 7 6 6 6 6 7 7 7 7 8 8 8 9 10 10 8 5 1 -1 -2 -2 0 3 5 7 9 10 10 10 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 4 3 2 1 2 4 6 7 nan
nan -2 0 1 2 1 1 1 -1 -3 -4 -1 5 11 16 21 25 27 26 22 18 16 14 13 14 15 15 15 13 12 11 11 10 10 8 8 7 7 6 7 8 8 10 14 16 15 14 11 10 9 8 7 6 5 5 4 4 4 5 6 7 7 7 8 9 10 10 9 7 3 -0 -3 -4 -4 -2 -2 -1 1 3 7 9 11 11 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 5 6 8 9 10 nan
nan -1 1 2 3 3 3 2 1 -4 -7 -6 -0 6 12 17 20 20 20 19 18 17 16 16 17 17 16 15 13 12 11 11 10 8 8 7 7 6 5 6 6 6 10 13 15 15 13 11 10 9 8 7 6 5 5 4 3 3 3 4 5 6 7 8 9 10 10 10 9 8 5 3 3 2 -0 -2 -3 -3 -2 3 6 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 nan
nan 5 5 6 8 8 6 5 4 -1 -5 -6 -3 2 8 12 14 14 14 15 17 18 18 18 18 17 16 14 13 12 11 10 9 9 9 9 7 6 5 5 5 7 11 13 14 15 14 12 11 9 8 7 7 6 6 6 5 4 4 4 5 6 7 9 10 10 10 11 11 10 10 10 10 8 6 4 2 1 1 1 3 5 7 8 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 11 11 11 11 10 10 nan
nan 9 9 9 10 10 9 8 7 3 -0 -2 -1 2 6 10 11 11 11 13 15 16 17 18 19 18 16 14 13 12 11 11 11 11 12 11 9 7 6 6 7 10 11 13 15 16 15 13 11 9 8 8 8 8 8 9 8 7 7 6 6 6 7 9 9 10 10 10 10 10 10 11 11 11 10 10 9 7 5 2 0 -0 0 1 1 1 1 2 5 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 11 12 13 13 12 11 11 11 nan
nan 10 10 9 9 8 9 9 8 6 4 3 4 6 8 10 10 10 11 13 14 14 15 17 19 20 18 15 14 13 12 12 13 13 13 12 10 9 8 7 9 11 12 13 16 16 14 13 10 9 8 8 9 9 10 11 12 11 10 8 7 7 8 8 9 9 10 9 9 9 10 10 11 11 11 12 11 10 7 3 -1 -4 -6 -7 -7 -5 -4 -1 1 3 5 6 6 7 7 8 8 7 7 8 8 8 9 10 11 13 15 15 13 12 11 10 nan
nan 10 10 8 8 8 9 9 8 6 5 5 7 7 8 8 8 9 10 12 13 13 14 16 19 20 19 18 16 14 12 12 13 13 12 12 10 9 8 9 11 12 12 14 15 15 14 12 9 9 9 9 9 10 12 13 13 13 12 10 9 9 9 8 8 9 9 8 8 9 9 10 10 11 12 11 11 10 8 5 1 -3 -5 -5 -4 -3 -2 -1 -1 -2 -3 -1 0 2 4 6 7 7 7 8 8 8 8 9 11 13 15 16 15 13 11 10 nan
nan 10 10 9 8 8 9 10 9 8 6 6 7 7 8 7 7 8 9 11 12 12 12 14 17 19 20 19 17 15 13 12 12 11 11 10 9 9 8 10 11 12 14 15 15 15 14 11 10 10 10 10 10 10 11 13 13 12 12 11 11 11 10 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 9 7 5 4 3 4 4 4 4 2 -1 -5 -7 -6 -5 -3 -2 1 3 5 7 8 8 8 8 9 10 11 13 15 16 15 12 11 nan
nan 10 10 10 9 9 10 11 11 10 9 8 8 8 7 6 6 7 8 10 11 11 11 12 13 15 17 18 17 15 13 13 12 12 11 11 10 9 9 10 11 13 16 17 17 17 15 13 12 11 10 10 10 11 11 12 12 12 12 12 11 11 10 9 8 8 7 7 8 8 9 10 10 11 11 11 11 10 9 9 8 9 9 9 9 9 8 6 3 1 -1 -2 -2 -3 -3 -3 -1 1 4 6 7 8 8 8 8 9 11 13 15 15 14 13 nan
nan 10 10 10 10 10 11 11 11 11 11 10 10 9 7 6 6 6 7 9 11 11 11 11 11 13 15 16 15 14 14 14 14 14 14 14 12 11 10 10 11 14 16 17 19 19 17 15 13 11 10 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 7 7 8 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 8 8 7 6 5 3 1 -1 -1 -0 2 4 6 7 7 7 7 7 8 11 13 14 14 14 nan
nan 9 9 10 10 10 11 11 11 11 11 11 10 9 7 6 6 6 8 9 10 11 11 11 12 14 15 15 14 13 14 14 14 15 15 15 14 13 12 11 12 13 15 18 20 20 19 16 14 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 8 6 5 4 3 4 5 5 5 5 5 6 6 6 8 9 11 11 12 nan
nan 9 9 9 9 10 10 10 11 11 11 12 11 9 8 6 6 7 9 9 9 8 9 10 12 14 15 15 13 13 13 13 13 13 14 14 14 13 13 12 13 14 15 18 20 20 19 17 14 13 13 13 13 13 13 13 12 12 11 11 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 7 6 4 3 2 2 3 4 4 5 6 7 8 8 9 nan
nan 9 9 9 9 9 9 10 10 11 11 12 12 11 9 7 7 8 10 10 9 7 7 9 11 12 13 13 13 12 11 11 11 12 12 12 12 12 12 12 13 14 16 18 19 19 19 17 15 14 13 13 14 14 14 14 14 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 9 10 10 10 10 10 9 8 5 2 1 1 2 2 2 3 4 5 6 6 7 7 nan
nan 9 9 9 9 9 9 9 10 10 11 12 13 12 11 10 9 10 11 11 10 8 8 8 9 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 15 16 18 19 19 17 16 14 13 13 13 14 14 15 15 14 13 11 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 7 5 4 4 4 4 4 4 5 5 6 7 7 8 8 nan
nan 9 9 10 10 9 9 9 9 10 10 11 12 13 13 12 12 12 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 10 11 12 14 16 18 18 17 16 14 12 12 12 12 13 14 14 13 12 11 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 10 10 9 8 8 8 9 9 8 7 7 7 7 8 9 9 10 11 nan
nan 9 10 10 10 10 10 9 9 9 9 10 11 12 12 13 12 12 11 10 10 9 8 8 9 9 9 9 10 9 9 9 9 9 10 10 11 11 10 9 9 9 10 12 14 16 17 17 16 15 13 13 12 12 12 12 12 12 12 12 11 11 12 12 12 11 10 9 9 9 9 10 10 9 8 7 7 7 8 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 10 11 12 13 nan
nan 9 10 10 10 10 10 10 9 9 8 9 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 8 7 7 6 7 7 9 10 11 11 10 9 9 10 11 12 14 15 16 16 15 15 14 13 12 12 12 12 13 14 14 14 14 14 14 13 12 11 10 10 10 10 10 9 8 7 7 7 7 8 9 9 10 10 11 12 12 13 12 11 10 10 9 9 9 9 9 10 9 10 10 10 10 9 9 9 9 10 10 10 11 11 12 nan
nan 9 10 10 10 10 10 10 10 9 8 9 10 10 10 10 10 11 11 11 11 10 9 9 8 7 7 8 8 8 7 5 5 5 5 6 8 9 10 11 11 11 10 10 11 12 13 14 14 14 14 15 15 14 14 14 14 14 15 15 15 15 15 14 13 12 11 10 10 10 9 9 8 7 7 7 8 8 9 10 10 10 11 11 12 13 13 12 11 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 nan
nan 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 10 11 11 11 11 11 10 10 9 8 8 9 9 8 7 6 6 6 6 6 7 8 10 12 12 12 12 11 11 12 12 12 12 13 13 14 15 15 16 15 15 14 14 14 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 9 10 11 11 11 11 12 12 13 13 12 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 nan
nan 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 7 7 7 7 9 11 13 13 13 13 12 13 12 12 12 13 13 13 14 15 15 14 14 13 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 12 12 12 12 11 10 8 8 8 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 7 7 9 11 13 13 13 14 14 14 14 14 13 13 12 12 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 8 7 6 7 8 10 11 12 14 15 15 15 15 14 14 13 12 12 12 12 11 10 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 7 6 5 6 7 8 9 11 12 13 14 14 15 15 15 14 13 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 11 12 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 7 6 6 6 7 8 9 10 11 12 14 16 17 17 16 15 14 14 14 14 14 14 14 14 12 11 11 11 11 13 13 14 14 13 12 12 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 9 12 14 16 18 18 17 15 14 13 13 13 13 12 12 11 11 11 12 13 14 14 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 10 12 14 15 15 14 13 12 12 11 10 11 12 12 13 13 12 13 13 13 12 11 11 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 13 13 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 8 10 10 11 11 11 10 10 10 12 13 15 16 15 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 10 9 9 9 9 9 9 9 9 10 10 11 10 9 8 7 5 5 5 6 6 6 7 7 8 8 9 11 13 15 17 17 15 13 12 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 11 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 10 9 8 7 6 6 5 5 5 5 5 5 6 7 8 12 15 15 15 13 12 10 10 11 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 nan
nan 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 9 8 7 6 6 6 5 4 3 3 3 4 6 9 10 13 14 14 13 12 11 10 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
43 125 185 219 223 201 177 141 101 67 45 38 32 27 23 20 15 7 4 2 1 1 1 1 1 1 1 1 0 1 1 1 2 2 3 6 11 16 20 24 25 22 18 14 10 10 9 8 6 3 2 2 1 1 1 0 0 0 0 1 2 2 1 1 2 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 9 11 13 16 18 20 22 20 17 17 20 25 28 29 28 24 21 18 14 10 9 10 10 10 9 8
12 71 138 196 229 212 203 172 128 83 51 46 42 38 35 30 22 12 6 3 3 3 4 4 3 2 1 0 1 1 1 1 2 2 4 7 12 18 23 29 32 31 27 20 14 13 13 12 10 6 5 3 2 1 1 0 0 0 0 1 2 2 2 3 3 3 2 2 2 3 3 2 1 1 1 1 0 0 0 1 2 3 5 7 8 10 11 14 16 19 22 24 27 29 26 20 19 22 26 27 26 23 20 18 15 13 12 11 11 12 12 11 10
4 35 92 166 228 233 231 207 162 107 68 57 53 51 48 43 26 15 9 7 7 7 7 6 4 2 1 1 1 1 1 1 2 3 4 8 13 20 25 31 35 37 35 27 19 15 15 16 16 12 8 4 1 1 1 1 1 0 1 1 1 1 2 3 3 4 3 3 3 4 5 4 4 4 4 3 2 3 4 4 6 7 10 13 16 18 20 22 26 30 30 30 31 29 24 19 18 19 20 20 20 18 16 14 13 13 12 12 12 13 14 13 12
2 17 59 140 203 241 256 242 195 130 88 68 62 62 66 54 36 21 12 9 10 9 8 7 5 4 3 2 2 2 1 2 2 3 5 9 15 22 27 32 36 38 36 29 21 16 13 14 17 16 12 7 2 1 1 1 1 1 1 1 1 1 2 3 4 4 4 3 4 5 6 6 6 7 8 8 8 9 11 12 14 18 21 24 28 31 31 32 35 38 36 36 35 30 24 19 18 18 16 15 14 13 12 13 14 13 12 12 12 12 13 14 14
5 17 50 118 185 243 276 267 216 152 105 79 71 72 75 66 52 36 22 18 16 13 10 8 6 4 3 3 3 3 2 3 3 4 6 9 15 23 30 36 36 36 32 27 21 17 12 12 15 17 18 15 8 4 2 1 1 1 1 1 1 2 2 2 2 3 3 2 3 4 6 7 7 8 9 10 11 13 15 18 22 26 31 34 37 40 39 34 37 36 33 31 34 27 21 17 15 17 15 14 12 10 11 12 12 11 11 12 11 10 11 12 14
8 17 40 98 176 252 291 276 225 173 129 101 89 88 85 78 68 57 44 37 29 20 11 6 5 4 4 3 3 4 3 4 4 5 6 9 15 21 27 32 32 31 28 26 22 19 15 12 13 16 21 21 16 10 6 3 2 1 1 1 1 1 2 1 1 1 1 2 2 3 5 7 8 9 10 10 12 13 16 19 22 27 32 37 40 43 48 46 40 33 25 15 19 16 12 9 9 11 12 13 12 10 10 11 11 11 12 12 10 10 10 10 10
11 18 42 92 176 247 263 237 195 167 143 120 104 97 91 85 82 79 73 62 45 26 12 8 6 5 5 6 5 5 4 4 5 7 9 13 17 22 25 28 28 26 25 25 26 24 20 17 15 15 22 24 23 20 15 8 4 2 1 1 1 1 1 1 1 1 1 1 1 2 3 5 7 9 9 11 11 11 13 15 18 24 30 36 40 40 42 42 39 36 31 25 20 13 8 8 8 9 10 11 13 10 10 10 10 10 11 10 10 11 10 8 7
15 20 40 80 138 183 164 123 102 100 106 103 99 94 91 90 92 96 93 84 67 44 25 14 8 6 7 8 8 7 6 5 6 9 12 17 22 27 27 27 26 25 24 26 28 28 25 23 23 24 26 27 27 28 21 13 7 3 2 2 1 1 1 1 1 1 1 1 1 2 2 3 4 5 6 8 7 7 9 12 15 20 26 31 33 31 30 30 33 37 39 37 29 19 15 13 11 10 9 8 9 9 9 9 10 9 9 8 9 10 9 6 4
18 22 32 58 86 91 64 35 27 34 48 62 74 83 88 87 82 78 73 68 63 51 35 20 10 7 8 8 7 7 6 6 8 11 15 19 21 27 28 27 26 25 24 25 27 30 33 33 33 33 31 28 26 23 20 16 10 4 3 2 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 4 3 3 5 7 10 14 19 22 22 22 21 22 25 32 35 35 30 23 19 15 11 9 11 13 14 13 9 9 9 9 8 6 6 6 5 3 2
23 24 30 37 41 33 18 7 5 9 19 34 54 72 79 72 57 43 31 27 30 34 31 21 12 9 9 9 8 7 6 6 8 13 18 22 23 25 26 27 25 24 22 23 25 31 40 42 42 41 37 30 27 24 22 18 12 6 3 2 1 1 0 0 0 1 1 1 1 1 1 2 2 2 2 2 1 1 2 3 5 9 13 17 20 21 19 19 19 19 19 20 17 12 9 7 5 5 8 11 15 16 8 8 8 7 6 4 3 3 2 2 1
28 25 24 24 21 15 8 2 1 2 7 21 38 52 58 50 37 22 10 4 6 10 13 13 10 10 10 9 9 10 8 10 12 16 21 24 25 27 28 27 24 22 22 22 23 26 36 42 47 48 46 38 31 28 24 18 12 8 4 2 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 2 3 9 14 22 30 25 22 18 13 9 8 7 4 2 2 3 4 5 7 11 10 7 7 7 6 4 3 2 1 1 0 0
29 24 20 16 11 8 5 2 0 0 4 14 26 34 36 32 24 13 4 0 1 2 3 4 6 9 10 9 8 8 10 13 17 20 22 23 25 26 25 23 21 20 22 23 22 23 29 37 45 51 54 47 37 30 27 19 13 9 7 4 3 3 3 2 2 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 4 10 18 24 24 23 20 15 11 9 6 4 3 2 2 3 3 4 8 6 5 5 5 5 4 3 2 1 1 1 0
25 21 17 10 6 4 3 2 3 2 6 13 19 23 23 19 12 6 1 0 0 0 1 2 4 6 8 8 8 8 9 13 18 22 23 23 22 21 19 16 15 14 15 16 17 18 22 30 43 54 58 49 37 27 26 22 18 13 10 10 9 8 7 5 2 1 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 2 7 15 22 22 19 20 23 20 17 13 9 9 9 7 4 2 2 2 3 3 3 3 3 4 4 3 2 1 1 0 0
22 18 13 7 5 4 4 3 6 8 11 16 21 21 18 13 7 3 0 0 0 0 0 2 3 4 6 8 9 8 9 12 16 20 24 24 22 18 15 11 8 7 6 5 7 11 16 25 42 52 54 45 30 24 28 28 26 23 19 16 14 13 12 9 5 4 3 4 2 1 0 0 0 2 3 2 2 3 2 2 5 9 16 25 31 33 31 29 32 28 27 27 28 22 19 15 10 4 3 3 2 2 2 2 2 2 3 2 1 1 1 1 0
22 17 13 9 5 3 2 3 6 9 12 16 23 21 18 13 8 1 0 0 0 0 1 2 3 4 6 8 10 10 10 12 15 18 21 22 21 19 15 10 6 4 2 1 2 4 9 16 27 35 38 35 33 37 43 46 45 44 37 32 28 26 24 19 14 10 8 10 9 8 5 2 3 6 8 9 10 10 10 10 15 24 33 43 48 49 47 45 42 37 35 34 31 28 24 20 15 12 8 4 2 2 2 3 2 2 2 1 1 1 2 1 1
27 21 15 10 7 5 5 5 7 10 14 17 18 17 17 17 12 4 1 0 0 0 0 1 1 3 5 6 7 8 9 11 15 18 21 22 21 20 17 13 10 7 4 2 2 2 3 7 10 13 16 20 29 40 51 58 62 67 68 58 50 46 42 35 30 25 19 19 18 17 16 14 14 15 17 19 24 23 22 27 39 48 53 58 59 56 53 51 47 43 40 36 32 28 25 20 18 16 11 6 3 3 3 3 3 2 2 2 1 1 1 1 1
22 17 13 10 9 10 8 5 5 9 12 12 11 13 20 26 17 8 2 0 0 0 0 0 0 0 1 2 3 3 3 4 6 10 15 20 24 22 18 15 14 12 9 6 5 5 4 5 6 7 8 12 20 28 37 44 49 54 59 60 60 61 56 50 45 37 30 27 25 23 21 20 23 28 32 36 39 38 41 49 63 65 65 65 63 60 57 54 50 45 40 35 30 26 22 20 17 14 10 6 4 3 3 3 2 2 2 2 3 2 2 2 1
14 13 14 16 14 13 10 7 6 9 9 9 11 19 33 33 22 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 17 20 19 18 15 15 14 12 11 11 10 10 9 9 8 10 14 18 22 25 27 30 34 39 47 52 50 43 39 33 26 25 26 26 27 30 35 40 42 47 52 58 62 67 70 69 67 66 64 62 58 55 52 47 41 34 26 22 18 15 12 9 5 3 3 3 2 2 2 2 2 2 2 3 3 2 1
10 13 19 23 20 18 13 10 11 7 8 14 23 37 48 38 23 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 13 18 17 16 16 17 19 19 18 17 15 13 11 12 15 16 16 17 18 19 21 24 28 31 30 27 25 21 19 19 22 26 30 35 39 42 42 46 52 58 65 69 69 67 64 62 60 58 56 54 51 46 38 30 22 17 11 7 4 4 3 2 2 2 2 2 2 3 3 3 4 3 2 2 2
11 19 30 37 35 31 27 24 16 15 20 30 43 59 55 37 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 14 18 18 19 22 24 25 25 24 21 18 16 17 20 21 20 20 20 21 22 21 21 20 19 18 16 15 15 16 19 24 29 34 35 33 33 36 41 47 54 60 62 60 57 56 55 54 52 51 45 39 31 23 16 11 6 4 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 2 1
5 11 22 27 36 38 33 33 34 34 39 49 50 52 43 26 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 15 19 20 24 24 24 25 27 26 24 23 23 26 28 27 27 27 28 27 25 23 20 18 16 14 14 14 14 17 23 28 32 31 29 28 30 34 38 43 47 51 51 51 52 52 50 47 41 35 28 22 16 11 7 4 3 3 2 2 3 3 3 3 3 3 3 4 3 3 2 1 1 0
1 2 4 5 8 7 5 9 11 16 23 31 28 25 24 19 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 9 12 13 13 16 22 25 25 25 26 29 30 29 27 26 26 25 24 22 19 17 15 13 13 13 13 18 24 31 34 31 30 30 31 33 36 38 40 43 44 45 45 45 43 39 32 26 20 15 12 9 6 4 3 3 3 2 3 3 3 3 3 4 4 4 4 3 3 2 1 0
2 2 1 0 0 0 0 0 0 0 2 3 5 5 7 11 5 1 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 2 2 3 6 12 17 19 21 22 24 25 24 21 15 13 13 14 14 14 13 12 11 11 11 14 20 25 30 32 32 32 33 35 35 37 41 44 44 42 40 39 37 34 31 27 21 17 13 9 6 4 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 2 1 0 0
3 3 2 2 2 1 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 14 14 14 14 13 12 8 6 6 5 7 8 9 10 9 10 11 14 19 23 26 26 27 29 30 32 35 39 42 44 43 41 39 36 33 30 27 24 20 17 13 8 4 3 3 3 3 3 2 2 3 3 3 3 3 2 2 1 1 1 0 0 0
1 2 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 1 2 6 7 6 4 3 3 3 3 2 1 2 3 4 5 5 7 10 13 18 19 20 21 21 23 23 24 27 31 33 34 33 33 33 32 29 26 24 20 17 13 9 6 4 3 3 4 4 3 3 3 3 2 2 2 1 1 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 1 2 3 3 1 1 0 0 1 1 0 0 0 0 1 1 4 7 11 14 16 16 15 15 14 14 14 14 15 16 16 15 15 15 16 17 16 15 13 11 8 6 4 4 3 3 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 9 9 9 8 7 7 7 7 7 7 6 5 5 4 5 7 7 6 5 4 4 4 3 3 3 4 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 5 6 6 7 8 8 6 4 4 3 4 4 4 3 2 2 4 4 4 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 5 7 8 8 8 8 7 5 4 3 3 3 3 3 3 3 4 4 4 4 3 3 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 3 3 3 3 2 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 1 1 1 3 4 4 4 5 5 5 7 9 9 8 7 5 5 5 5 4 4 3 3 2 3 2 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 1 2 3 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 9 7 6 5 5 5 7 8 9 8 7 6 6 6 6 5 4 3 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 1 2 4 5 5 4 3 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 1 2 5 10 10 8 7 6 7 7 7 8 7 7 7 7 6 5 4 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 1 3 7 9 9 8 5 3 3 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 2 4 6 7 7 6 6 6 7 7 7 6 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
1 2 3 7 12 18 22 22 15 12 8 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 4 4 4 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 9 12 19 23 27 28 26 22 18 15 13 13 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 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
25 23 26 25 25 26 26 24 22 20 18 15 14 12 10 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
23 23 22 22 22 22 22 22 21 20 18 16 15 13 11 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
19 19 20 20 20 19 19 18 18 18 17 18 16 14 13 11 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 16 17 18 18 17 16 16 15 15 12 17 18 16 15 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 9 10 12 14 14 11 10 9 9 5 12 17 17 16 14 11 8 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 1 2 3 4 1 0 1 2 3 3 7 13 17 17 15 12 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 3 6 10 13 13 10 5 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 3 2 1 1 1 1 1 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 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 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 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 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 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 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 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 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 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 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 2 2 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 1 2 2 2 2 2 2 2 2 1 1 1 1 1 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 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 2 2 2 2 2 2 2 1 1 1 0 0 0 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 1 1 1 1 1 1 2 2 2 2 2 2 3 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 1 1 1 1 3 3 3 2 3 3 3 3 3 2 1 1 2 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 1 1 1 2 2 2 2 2 3 3 3 3 3 2 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 1 1 1 2 2 2 3 3 3 4 3 3 3 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 1 1 2 2 2 2 3 3 2 2 2 2 2 2 2 2 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 1 1 2 3 3 3 3 3 3 3 3 3 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 1 1 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 2 2 3 2 2 2 2 3 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 1 2 2 2 2 2 2 1 1 2 2 2 2 2 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 1 2 2 1 1 1 1 1 2 2 1 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 1 1 1 1 1 2 1 1 2 2 2 2 2 2 3 3 3 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 1 2 2 1 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 2 2 2 2 2 2 2 1 2 3 3 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 2 2 2 2 3 3 2 2 1 1 2 2 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 2 3 3 2 1 1 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 2 2 2 2 2 1 0 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 1 1 1 1 1 2 2 2 3 2 2 2 2 1 1 1 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 2 2 3 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0