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 5 7 9 9 7 5 3 2 2 3 3 3 3 4 5 6 5 4 3 4 4 5 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 9 9 10 12 14 17 19 20 21 20 17 13 9 7 7 6 7 6 6 5 5 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 4 2 2 3 4 6 7 8 9 8 7 7 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 5 5 4 4 5 7 9 10 10 9 7 6 6 5 nan
nan 6 8 11 11 9 6 4 3 2 3 3 3 3 4 5 6 5 3 3 4 5 6 6 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 10 11 13 16 20 24 28 30 28 21 14 10 8 7 7 6 5 5 6 7 7 6 4 4 6 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 4 1 -0 1 3 4 6 7 7 7 7 6 6 5 5 5 5 6 8 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 6 7 8 8 8 8 7 7 6 nan
nan 10 12 14 13 11 8 5 3 3 3 3 3 3 4 5 5 4 4 4 4 5 6 7 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 11 12 15 20 25 30 31 25 18 13 10 9 7 6 5 5 7 9 10 9 5 3 5 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 3 0 -0 2 4 5 6 7 7 6 5 4 4 4 4 5 6 9 11 13 13 12 10 9 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 6 7 8 8 8 7 7 nan
nan 18 21 20 16 12 8 5 4 3 3 3 3 3 4 4 4 4 4 4 5 6 7 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 9 10 12 16 20 21 20 17 14 11 9 7 6 5 6 8 11 13 11 7 5 5 6 7 7 7 7 7 7 6 6 6 6 7 6 6 5 3 1 1 3 5 5 6 6 7 6 5 4 3 3 3 5 8 10 12 13 14 13 12 10 9 8 8 8 8 8 9 9 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 7 8 8 7 nan
nan 30 34 29 19 11 7 5 4 3 3 3 3 3 4 4 4 4 4 5 6 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 9 10 10 11 10 8 7 6 8 9 11 12 12 11 10 8 7 6 6 7 9 10 11 10 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 2 1 2 4 5 5 6 6 6 6 6 5 4 4 6 9 10 11 11 11 10 10 9 10 10 9 8 10 12 15 18 18 14 9 8 7 6 6 6 7 6 6 6 6 5 5 4 4 4 5 6 7 7 7 nan
nan 36 44 35 20 10 6 5 4 4 3 3 3 3 3 4 4 4 5 6 6 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 10 11 11 10 8 6 5 5 6 6 7 8 8 7 7 6 6 6 7 8 9 8 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 7 7 6 4 1 1 3 4 5 5 5 6 6 6 6 5 5 7 10 13 13 11 10 9 7 6 7 10 10 9 9 10 15 21 27 28 22 14 10 8 7 7 7 8 8 7 7 6 6 5 5 4 4 5 6 6 7 7 nan
nan 26 35 29 17 9 5 4 4 4 4 4 4 3 3 4 4 5 6 6 7 8 8 8 9 9 8 8 8 7 7 7 7 8 8 9 9 9 10 11 11 10 9 7 6 5 5 6 6 6 6 6 6 6 6 6 5 6 7 8 7 5 5 5 5 6 6 6 6 6 5 6 6 6 6 7 7 7 6 2 0 1 2 4 5 5 5 6 6 6 5 5 7 10 13 15 14 12 10 8 6 5 9 11 11 10 8 8 11 18 24 25 22 17 12 10 9 9 9 10 9 9 8 7 6 6 5 5 5 5 5 6 6 7 nan
nan 11 15 14 10 6 4 4 4 4 3 3 3 3 4 4 5 5 6 7 8 8 8 8 9 9 8 8 8 7 8 8 8 8 9 9 9 9 10 10 10 9 8 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 3 -0 -2 -0 2 4 5 6 6 5 5 5 5 6 8 12 14 14 13 12 10 7 5 5 9 11 12 10 8 6 6 9 13 14 13 12 10 9 9 11 13 13 13 12 10 9 7 6 6 5 5 5 5 6 6 6 nan
nan 5 5 5 4 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 5 5 5 6 7 7 7 6 6 6 7 7 7 8 8 8 7 5 -1 -5 -4 -1 2 4 6 6 6 5 5 6 6 8 10 12 13 13 12 11 9 7 5 5 6 9 10 9 8 6 5 5 6 7 6 6 6 7 9 12 16 19 20 19 16 13 10 8 7 6 6 6 6 6 6 6 nan
nan 5 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 6 6 7 7 6 6 6 7 8 8 8 8 9 9 8 3 -4 -7 -5 -0 3 5 6 6 6 6 6 7 8 10 12 13 13 12 10 10 9 7 6 5 5 6 7 7 7 7 7 6 6 6 5 4 4 5 7 10 16 23 28 29 26 20 14 10 8 8 7 7 7 7 7 7 nan
nan 6 6 5 5 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 8 7 6 6 6 6 6 5 4 4 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 6 6 7 7 6 7 7 7 6 6 7 8 8 8 8 9 10 9 7 2 -4 -6 -3 1 5 6 7 7 7 7 8 9 10 11 12 12 12 11 10 9 8 8 7 6 6 6 6 6 7 7 7 7 8 7 6 4 3 3 4 6 12 21 30 35 33 26 19 13 10 9 9 8 8 8 9 9 nan
nan 8 8 7 6 5 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 8 9 10 11 11 10 10 10 9 8 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 8 4 -1 -4 -4 -1 3 6 8 8 8 9 9 10 11 11 12 11 11 10 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 8 8 7 6 5 4 4 4 7 13 22 29 29 24 18 14 11 10 9 9 9 11 14 16 nan
nan 8 9 9 7 5 4 4 4 4 4 5 5 5 6 7 7 7 7 6 7 8 10 11 11 11 11 10 9 8 7 6 5 6 6 6 7 7 7 7 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 6 7 8 8 8 7 8 8 9 9 9 8 9 9 6 1 -4 -5 -2 2 6 8 9 9 9 10 11 11 12 12 11 11 10 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 8 12 16 18 17 14 12 10 9 8 9 10 14 19 24 nan
nan 4 5 6 5 4 4 4 4 4 5 5 5 6 6 7 7 7 6 6 7 9 10 11 11 10 10 9 7 7 6 6 6 7 7 7 8 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 7 8 8 8 8 9 9 9 9 9 8 8 8 5 -2 -6 -5 0 6 8 9 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 10 11 11 10 9 8 8 8 10 13 19 24 nan
nan -0 -1 1 2 3 3 3 4 5 5 5 5 5 6 6 7 6 6 7 8 10 11 11 10 9 8 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 7 8 11 12 12 9 7 7 7 8 8 9 10 10 9 9 8 7 7 6 2 -4 -5 -2 5 9 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 6 6 6 5 5 4 4 5 6 7 8 8 8 9 9 10 10 9 8 8 8 11 14 16 nan
nan -0 -1 -0 0 1 2 3 4 5 6 5 5 5 6 7 7 6 6 7 9 10 10 9 8 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 9 12 15 16 14 9 7 6 7 8 9 10 10 10 9 8 7 7 6 2 -2 -5 -2 4 9 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 8 9 10 11 11 11 10 9 9 10 10 11 nan
nan 4 4 3 2 2 2 3 5 6 6 5 5 5 6 7 7 7 7 8 9 9 8 7 6 6 6 7 7 8 9 9 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 6 8 10 13 14 13 11 8 6 5 7 8 9 10 10 9 8 8 7 6 3 -2 -5 -4 2 8 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 5 7 8 9 10 12 13 13 13 12 11 11 10 10 nan
nan 7 7 5 4 3 3 4 5 7 7 6 6 6 7 7 7 8 9 10 9 8 6 5 5 5 6 7 8 9 9 9 8 7 6 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 7 9 11 12 11 9 8 7 6 6 7 8 9 9 9 8 8 8 7 5 1 -4 -5 -1 7 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 8 8 7 7 7 6 6 6 7 6 7 7 7 7 8 9 10 12 13 14 15 14 14 13 13 12 11 nan
nan 7 6 5 4 4 5 6 6 7 7 7 7 7 7 8 8 9 10 10 8 6 5 4 5 6 7 8 9 9 9 8 7 6 5 4 3 3 3 4 4 5 6 6 6 7 6 6 6 6 6 6 7 9 11 11 9 7 6 6 7 7 7 8 9 9 9 8 8 8 7 7 4 -1 -5 -3 5 12 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 11 11 10 9 9 8 8 8 9 9 10 11 12 12 12 13 13 14 15 15 16 15 14 14 13 13 12 nan
nan 5 4 5 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 9 7 5 4 4 5 7 8 9 9 9 8 7 7 5 4 3 1 -0 -0 1 2 3 4 4 5 6 6 5 5 5 6 7 9 11 11 10 7 6 5 6 7 7 8 9 9 8 8 8 8 8 7 5 2 -3 -4 1 11 16 16 15 15 14 14 13 13 13 14 14 15 15 15 15 16 16 15 15 15 15 15 15 15 16 16 16 16 15 15 15 14 13 13 12 12 11 12 12 13 14 15 17 18 18 17 17 17 16 15 14 14 13 13 13 13 13 nan
nan 3 4 6 7 8 8 9 8 8 8 8 8 9 9 9 10 10 9 7 6 5 5 5 6 7 9 9 9 8 8 7 6 5 3 2 0 -2 -2 0 2 2 2 2 3 4 4 5 4 5 5 7 10 11 10 8 6 5 5 6 6 7 8 9 9 7 7 8 8 8 7 5 0 -5 -3 8 16 18 17 16 15 14 13 13 13 14 15 15 15 15 15 15 16 16 16 16 16 16 16 16 17 17 17 18 18 18 18 18 17 17 16 16 16 15 16 16 17 17 18 19 20 20 19 18 16 15 13 11 11 12 12 13 13 13 nan
nan 4 5 7 8 8 9 8 8 7 7 7 8 8 9 9 10 9 7 6 6 6 6 7 7 8 8 9 8 7 7 6 5 4 3 3 1 -1 -0 2 3 4 3 3 2 3 3 4 4 5 6 8 9 9 8 7 6 5 5 6 6 6 7 9 8 7 7 8 8 7 6 3 -2 -6 1 11 16 18 17 17 15 14 13 13 13 14 15 15 14 14 14 14 14 14 15 15 15 15 16 16 17 18 18 19 19 19 20 20 20 20 20 19 19 19 19 19 19 19 18 18 19 18 17 16 14 12 11 11 11 12 13 14 14 15 nan
nan 7 7 8 8 8 8 8 7 7 7 6 6 7 7 8 8 7 6 5 6 6 7 8 8 8 8 7 7 6 6 5 4 3 3 3 3 3 3 4 5 6 6 5 4 5 5 5 6 7 8 9 8 7 7 6 6 5 5 6 7 7 8 8 8 8 8 8 8 7 5 1 -4 -4 4 11 15 16 16 16 15 14 13 13 13 13 13 13 12 12 11 11 11 12 12 13 13 14 14 15 16 17 17 18 19 19 20 20 21 21 21 21 20 20 19 18 17 16 16 15 15 15 14 13 11 11 11 11 12 13 14 15 15 15 nan
nan 8 8 8 7 7 7 7 7 6 5 5 5 4 5 5 5 5 4 5 5 6 7 7 7 7 6 6 5 5 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 7 8 8 8 8 9 9 8 7 6 6 6 6 6 7 8 9 8 8 8 8 8 9 8 7 5 0 -5 -2 6 11 13 15 16 16 15 14 13 12 11 11 11 10 9 9 8 8 8 8 9 10 10 11 12 12 13 14 14 15 16 17 17 18 18 19 19 18 17 16 15 14 12 11 11 11 11 11 10 10 10 10 11 12 12 13 14 14 14 15 nan
nan 6 6 6 7 7 7 6 6 5 5 4 4 3 2 2 1 1 2 3 4 5 5 5 5 5 5 4 4 4 4 5 6 6 5 6 6 6 6 7 7 7 7 7 7 8 9 9 8 8 9 8 7 6 5 5 6 7 8 8 8 9 9 8 8 8 8 8 8 7 5 -1 -5 -1 7 11 13 14 15 15 15 14 12 10 9 8 8 7 7 6 6 6 6 6 7 7 8 8 9 9 9 10 11 11 12 12 13 13 13 13 13 12 11 10 9 8 8 7 7 7 7 7 8 8 8 9 10 10 11 11 12 12 12 12 nan
nan 4 4 5 6 6 4 4 3 4 4 4 4 3 0 -2 -2 -2 -1 0 2 3 2 1 2 3 4 4 3 4 5 7 8 7 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 7 6 6 5 5 6 8 9 9 9 9 8 8 8 8 8 7 6 6 4 -1 -3 2 8 11 12 13 13 14 13 13 11 9 8 7 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 9 nan
nan 4 4 5 5 4 2 1 2 3 3 3 4 3 -1 -3 -2 -1 0 1 3 3 0 -1 0 2 5 5 5 5 6 7 8 7 7 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 5 6 6 7 8 9 9 9 8 8 8 8 8 8 6 5 4 2 -2 -1 4 8 11 11 12 12 12 12 12 10 9 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 nan
nan 6 6 6 4 3 2 2 3 4 3 3 4 4 1 0 1 3 4 4 5 5 2 0 2 4 6 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 8 7 6 6 7 8 8 9 9 9 9 8 8 8 9 8 8 6 4 2 -1 -2 -0 4 9 11 11 11 11 11 11 11 10 8 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 nan
nan 6 7 7 5 4 4 4 5 5 5 5 6 5 4 3 4 5 5 6 7 7 5 4 5 6 7 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 7 7 7 7 6 6 7 8 8 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 8 6 4 2 -1 -2 -0 5 9 10 10 10 11 11 11 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 nan
nan 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 5 6 8 8 8 7 7 7 7 8 8 8 8 7 6 5 6 7 7 8 8 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 6 5 2 -1 -2 0 5 9 9 10 10 10 11 11 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
nan 7 8 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 6 6 7 9 10 9 8 7 7 7 7 8 8 7 6 6 5 5 6 7 7 8 8 8 8 8 7 7 8 8 7 7 7 7 8 9 8 9 9 9 8 8 8 8 8 8 8 8 8 6 5 2 -2 -3 0 5 8 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 8 8 7 7 7 7 7 7 6 4 4 5 5 6 6 6 7 7 8 9 10 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 10 9 9 8 9 9 8 8 8 8 7 6 4 1 -3 -5 -2 3 7 8 9 9 9 9 10 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 7 6 5 4 4 5 6 6 6 7 8 8 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 7 6 4 1 -3 -6 -4 1 6 8 8 8 9 9 9 10 10 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 8 8 9 8 8 8 8 8 8 8 8 7 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 8 7 6 5 3 -0 -4 -5 -1 5 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 8 7 6 4 2 -2 -5 -2 2 5 7 7 7 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 7 6 6 7 7 7 7 7 6 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 9 9 9 8 7 6 6 4 -0 -3 -2 1 4 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 8 8 9 9 9 8 7 6 5 2 -1 -2 -0 3 5 6 6 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 5 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 8 7 7 7 8 8 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 6 5 3 0 -2 -2 1 4 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 4 1 -2 -3 -2 1 4 4 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 5 5 5 6 6 6 6 6 6 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 6 4 2 -1 -3 -3 -1 2 3 4 4 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 nan
nan 4 4 5 5 6 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 5 4 2 -0 -2 -2 -1 1 2 2 3 4 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 5 6 6 7 7 7 7 7 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 7 6 5 4 2 -0 -2 -2 -2 -1 0 1 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 8 8 8 9 9 9 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 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 4 2 -0 -2 -2 -2 -1 -0 0 1 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 4 3 1 -1 -2 -2 -1 -1 -0 0 1 2 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 8 8 8 7 6 5 4 3 1 0 -0 -1 -1 -1 -0 1 2 2 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 5 5 4 3 1 -1 -2 -1 -0 0 1 1 2 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 nan
nan 8 8 8 7 8 8 8 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 5 4 2 0 -0 -1 -1 -0 0 1 1 2 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 8 8 8 9 8 8 7 8 8 8 9 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 5 3 2 1 -0 -1 -1 -0 0 1 2 3 3 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 6 6 7 7 7 7 8 8 8 7 7 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 6 6 7 8 8 8 7 8 8 8 7 7 6 6 5 3 1 0 -0 -0 -0 0 1 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 6 4 3 2 1 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 6 6 5 6 7 8 8 8 7 7 7 7 7 7 8 8 7 7 6 5 4 3 2 2 2 2 3 3 4 4 5 5 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 8 8 8 8 8 8 8 nan
nan 9 9 8 7 7 8 9 10 9 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 6 5 5 6 7 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 6 5 4 3 2 2 3 4 4 5 5 5 5 4 4 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 9 8 7 7 8 9 10 9 7 5 5 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 4 3 3 3 4 4 5 5 6 6 5 5 4 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 nan
nan 9 7 7 8 9 10 10 8 5 4 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 4 3 3 4 5 5 6 6 7 7 7 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 nan
nan 8 7 8 9 10 10 8 5 4 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 5 4 4 5 6 6 6 7 8 8 8 7 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 7 7 7 7 7 nan
nan 7 8 8 9 9 9 7 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 7 7 8 9 9 9 9 10 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 7 7 8 8 8 8 7 6 6 5 5 6 6 7 7 7 7 6 5 5 5 7 7 7 7 8 9 10 9 7 6 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 9 9 10 9 8 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 10 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 6 6 7 8 9 9 9 8 7 6 6 5 5 6 6 6 6 6 7 7 6 6 7 7 7 8 8 10 11 11 10 8 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 10 11 11 10 9 7 6 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 6 6 7 7 7 8 9 11 13 13 12 10 8 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 11 11 10 9 8 6 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 5 5 5 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 6 5 6 6 7 7 8 10 13 14 13 11 9 6 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 nan
nan 10 10 9 8 7 7 6 5 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 5 5 6 6 7 7 7 8 8 9 9 8 8 8 7 7 7 6 6 7 7 7 8 7 6 5 6 6 7 7 8 10 11 12 11 9 6 5 5 6 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 9 8 7 7 8 7 6 6 6 7 7 7 7 7 7 8 8 7 7 8 9 9 10 9 9 9 9 8 8 8 8 7 7 7 8 8 7 7 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 6 6 5 5 6 6 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 7 6 6 6 7 8 8 9 9 9 9 8 7 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 nan
nan 8 8 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 7 8 8 7 6 6 6 7 7 7 8 9 9 10 10 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 9 8 8 7 6 6 5 5 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 6 6 6 7 8 8 8 8 9 8 8 7 6 6 7 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 5 5 5 6 6 7 7 7 8 8 8 8 nan
nan 8 10 10 9 7 6 5 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 6 6 5 6 6 7 8 8 9 10 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 9 9 8 7 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 8 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 8 7 6 5 5 5 5 6 7 7 7 8 8 8 8 8 nan
nan 9 9 9 7 5 4 5 6 7 8 8 9 9 8 8 9 9 9 10 9 8 7 7 7 6 6 7 6 6 7 7 8 7 7 6 6 6 7 7 8 9 10 12 12 12 12 11 11 11 12 12 12 11 11 10 10 11 11 11 10 9 8 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 9 8 8 8 8 9 9 8 8 8 9 10 10 10 9 8 6 5 4 4 5 6 7 7 8 8 8 8 8 8 8 nan
nan 8 8 7 5 4 5 6 7 7 8 8 8 8 8 9 9 10 10 10 9 8 8 7 7 7 7 7 7 6 6 7 7 8 8 7 6 6 7 7 8 9 11 12 12 12 11 11 10 11 13 13 13 12 11 11 11 11 11 12 11 10 8 7 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 7 7 7 7 7 7 8 7 7 6 7 7 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 8 7 5 4 4 5 6 7 7 8 8 8 8 8 8 8 8 nan
nan 8 7 6 5 5 6 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 7 6 6 7 8 9 10 12 12 12 11 10 10 10 11 13 14 14 13 12 11 10 10 11 11 11 10 8 7 5 4 4 5 6 6 7 7 7 8 8 8 8 8 7 7 6 7 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 7 6 6 6 6 7 7 7 7 7 8 9 9 10 12 13 14 14 12 10 7 5 4 4 4 6 7 8 8 9 9 8 8 8 8 7 7 nan
nan 9 8 7 6 7 8 8 8 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 6 6 7 8 8 10 12 12 11 10 9 9 9 10 12 13 14 14 13 11 9 9 10 10 10 10 9 7 5 5 5 5 6 7 7 7 7 7 8 8 9 8 7 6 6 7 8 8 8 8 7 8 8 8 8 7 7 8 8 8 7 6 5 5 5 6 6 6 6 6 7 8 9 10 11 13 14 14 13 11 7 4 3 3 4 6 7 8 9 9 9 9 8 8 7 7 7 7 nan
nan 9 8 7 8 9 9 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 8 7 7 7 8 7 7 7 7 7 7 6 7 7 7 8 9 11 11 10 9 9 9 9 10 11 12 12 13 12 11 9 9 9 9 9 10 9 8 6 5 5 6 6 7 7 7 7 8 8 9 8 8 7 6 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 6 5 5 5 6 6 6 6 6 8 8 9 9 9 10 10 11 11 8 5 1 1 3 4 6 7 8 9 9 9 9 8 8 7 7 6 6 6 nan
nan 8 7 8 8 9 8 8 8 8 9 9 9 8 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 10 10 10 9 9 10 10 11 11 11 11 11 11 12 11 10 10 9 9 10 10 8 7 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 5 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 7 4 -0 -2 1 4 6 8 9 10 10 10 9 8 8 7 6 6 6 6 6 nan
nan 8 8 9 9 9 8 8 8 9 9 8 8 7 6 5 5 5 6 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 6 6 6 6 6 6 7 9 10 10 10 10 11 11 11 11 10 10 10 10 11 12 13 12 11 9 9 8 7 6 7 7 8 8 8 7 7 7 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 8 8 7 5 2 -1 1 4 7 9 10 10 10 10 9 8 7 7 6 5 5 5 5 6 nan
nan 8 8 8 8 8 8 9 9 9 8 8 8 7 6 6 5 6 6 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 9 10 10 11 12 12 12 11 10 9 9 10 11 12 13 12 10 7 5 4 4 5 7 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 4 2 2 5 9 11 12 11 10 10 9 8 7 7 6 5 5 5 5 5 6 nan
nan 8 8 7 7 8 10 10 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 9 10 10 10 9 8 7 7 7 7 6 6 7 8 9 10 11 11 12 11 11 10 10 10 10 10 11 11 10 7 4 2 2 4 7 9 10 10 9 9 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 6 5 5 8 12 15 15 13 11 11 10 9 7 6 6 5 5 5 5 5 6 6 nan
nan 8 8 8 9 10 11 11 10 9 8 7 7 7 7 8 8 7 6 6 6 5 5 6 6 7 7 8 8 8 8 10 11 11 9 8 8 7 8 7 7 6 6 7 8 9 10 10 10 10 10 11 11 11 11 10 10 9 7 4 2 2 4 7 10 11 11 10 9 9 9 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 8 10 14 16 17 15 13 12 11 9 8 6 5 4 4 5 5 5 6 6 7 nan
nan 8 9 9 10 11 10 9 8 8 7 6 6 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 9 10 10 9 8 8 8 8 8 7 7 6 6 7 8 9 9 9 10 10 10 11 12 11 10 9 8 6 4 3 5 8 10 12 12 11 9 9 9 9 9 9 8 8 8 7 7 6 7 7 8 7 7 7 7 7 6 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 11 13 13 13 12 12 12 10 8 6 5 4 4 4 5 5 6 6 6 7 nan
nan 9 9 10 9 9 9 8 8 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 7 6 6 6 7 7 8 8 9 9 10 10 10 10 9 8 7 5 5 5 8 10 12 11 10 9 8 8 9 10 9 9 9 8 8 8 8 8 8 8 6 5 5 5 6 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 8 9 9 9 7 5 3 3 4 4 5 6 6 6 6 6 7 nan
nan 9 9 9 8 8 8 8 7 6 6 6 6 7 8 8 8 9 9 8 8 7 7 7 8 8 8 8 7 6 6 6 7 8 8 9 9 9 9 8 8 7 7 6 7 7 7 7 7 8 8 9 9 8 8 8 7 7 6 6 7 9 11 11 10 8 7 8 9 10 10 10 10 10 9 9 9 9 9 9 8 6 5 5 5 5 5 6 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 8 9 9 10 9 9 8 8 7 7 6 5 5 4 2 1 1 3 4 5 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 7 7 8 7 7 6 6 7 7 7 7 7 6 6 6 6 6 7 8 9 10 9 9 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 9 10 9 8 8 9 9 8 8 9 9 9 9 9 10 10 9 8 7 7 7 5 2 0 -0 -1 -2 -3 -0 3 5 6 6 6 5 5 5 6 6 nan
nan 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 10 9 8 6 5 6 6 6 7 7 7 7 8 8 7 6 6 6 7 9 9 8 8 8 8 8 8 9 8 8 7 7 6 7 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 10 9 7 7 7 6 4 1 0 -0 0 -1 0 3 5 6 6 5 5 5 5 5 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 7 6 6 7 7 7 7 7 8 8 8 8 7 7 6 7 7 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 7 7 6 6 5 5 4 4 4 5 6 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 8 8 7 8 8 9 9 10 10 9 9 9 9 10 10 10 8 7 6 6 6 6 5 4 5 7 6 6 6 7 6 6 5 5 4 4 5 5 6 6 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 7 7 8 8 8 8 7 7 6 6 7 7 8 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 6 4 4 4 5 6 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 8 9 10 10 11 11 11 10 10 10 9 8 7 7 7 7 7 8 9 9 9 10 9 9 9 9 10 10 9 8 7 6 6 6 6 6 7 8 10 12 11 9 7 6 5 5 4 4 4 4 5 5 6 6 nan
nan 7 7 8 8 8 8 8 8 8 8 7 6 7 8 9 10 9 9 8 8 9 9 8 8 8 7 7 7 6 6 6 6 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 7 7 6 6 6 6 7 6 6 6 6 6 7 8 9 9 9 8 8 8 8 9 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 9 10 11 10 8 6 4 4 4 4 4 4 4 4 5 5 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
80 65 61 93 193 243 185 115 103 117 132 154 182 191 170 161 230 431 525 305 194 185 178 184 199 198 180 149 145 153 158 160 167 188 188 177 175 175 172 180 218 285 380 456 484 454 371 271 188 123 78 53 40 32 24 19 20 18 13 10 9 7 7 8 11 7 6 4 3 2 3 4 5 5 5 4 6 8 12 17 24 52 129 230 298 334 374 380 367 312 258 187 155 170 204 228 240 250 269 276 281 268 243 218 230 271 283 241 201 180 179 184 176 166 139 109 81 63 77 144 255 342 336 247 190 318 679 1285 1757 1775 1496 1198 988 818 695
137 101 58 91 249 320 253 179 174 190 184 179 210 233 193 152 251 801 815 391 163 123 151 207 268 289 253 205 221 245 260 272 343 451 482 417 335 281 247 257 343 509 787 976 1029 1008 930 762 500 251 151 111 81 65 50 42 39 31 24 25 29 26 13 11 8 6 5 5 5 4 4 4 5 6 8 9 12 18 26 35 51 108 219 325 377 411 446 458 488 415 306 225 225 274 329 375 418 460 542 572 535 458 380 322 314 365 380 322 309 296 257 255 254 233 211 184 144 100 78 110 198 264 265 241 199 244 526 1058 1519 1661 1620 1470 1248 1046 900
75 56 59 101 262 354 331 280 291 296 238 178 189 217 187 154 421 1046 864 394 154 125 176 246 301 316 296 240 252 279 298 362 491 618 662 598 476 394 334 300 453 609 886 1106 1224 1306 1355 1293 989 444 238 168 133 103 84 73 61 40 25 27 31 29 18 15 10 8 8 8 8 8 8 8 10 13 16 23 29 33 42 58 85 153 258 334 352 355 453 449 569 506 383 311 328 401 486 575 676 802 1062 1203 1132 932 721 575 526 539 530 454 433 418 393 374 385 378 355 324 275 215 157 111 161 213 249 266 249 252 342 576 965 1306 1438 1455 1282 1123 1002
65 82 106 170 348 531 572 475 454 413 277 174 159 153 123 173 555 915 667 268 133 172 226 286 339 361 329 261 271 297 307 382 514 574 505 417 406 376 341 327 443 489 544 633 793 981 1127 1229 1185 714 402 242 170 143 125 108 85 47 15 14 25 30 28 23 14 14 14 13 13 13 13 14 15 17 19 25 29 38 60 91 126 174 236 291 311 296 414 434 489 517 491 454 440 468 578 732 908 1260 1719 2043 2071 1834 1534 1284 1083 974 821 669 555 529 522 533 552 549 528 493 440 365 299 230 209 233 278 326 329 290 265 304 438 637 889 1212 1323 1328 1224
228 297 324 321 465 693 728 622 610 525 307 174 128 103 92 186 459 590 395 170 140 208 243 276 327 349 322 287 314 361 380 404 491 522 416 333 319 338 313 281 308 317 322 381 505 593 620 676 713 646 487 341 243 198 169 141 108 65 22 11 33 46 32 24 21 19 17 17 16 16 16 17 17 18 20 25 33 49 80 122 162 191 218 236 280 290 390 468 536 564 587 645 677 688 750 944 1261 1765 2161 2302 2261 2164 2098 2092 2026 1642 1260 1043 860 824 834 827 774 723 704 659 579 494 441 394 333 309 336 377 394 358 269 205 219 411 792 1123 1414 1578 1537
514 676 732 538 569 803 744 687 683 538 299 160 103 79 75 155 280 262 199 150 159 201 228 265 303 313 307 314 349 421 431 408 413 385 289 248 273 310 295 264 294 302 400 593 650 487 345 316 340 392 389 341 284 228 186 149 116 93 64 29 49 58 44 33 25 20 18 17 17 18 20 20 22 23 27 31 39 58 91 136 183 195 206 196 212 220 332 501 620 636 630 723 860 979 1080 1355 1851 2345 2285 1812 1386 1260 1451 1658 1797 1783 1579 1476 1445 1430 1358 1256 1152 1060 1019 959 841 717 611 537 484 447 417 424 464 443 331 239 234 336 584 902 1232 1505 1610
505 680 1006 866 812 950 889 751 597 403 238 147 94 72 54 84 135 150 164 171 179 201 229 261 290 302 311 325 375 402 359 299 261 231 204 204 233 265 274 356 402 401 542 712 633 382 247 213 233 264 271 249 223 198 172 143 119 123 136 40 61 69 63 52 40 31 26 21 20 25 27 29 33 37 40 41 47 65 95 144 189 182 186 198 227 294 409 571 703 744 715 759 939 1170 1412 1856 2370 2657 2257 1400 763 607 776 1128 1450 1628 1627 1659 1764 1843 1851 1800 1690 1571 1515 1466 1360 1173 965 807 717 648 564 536 583 511 406 336 317 356 461 640 874 1090 1165
288 351 940 1054 968 895 765 574 384 248 185 156 93 55 57 75 94 149 202 220 219 227 245 275 309 349 376 353 374 341 264 208 185 192 222 264 245 245 241 289 342 410 509 534 400 251 191 171 172 163 149 135 130 136 142 125 104 115 166 51 56 77 84 78 68 57 45 33 30 37 36 38 38 37 37 40 50 68 99 154 173 160 168 197 231 304 473 641 712 769 813 858 1074 1487 1873 2350 2661 2546 1957 1212 667 546 763 1344 1778 1822 1656 1509 1404 1366 1556 1819 2058 2026 1927 1905 1874 1738 1506 1276 1094 911 769 711 721 623 510 415 386 419 474 561 668 819 924
230 299 526 643 604 484 356 265 204 161 176 229 163 79 72 90 122 189 244 237 206 220 253 304 340 368 383 356 330 277 213 190 207 233 260 308 247 239 238 229 264 349 414 386 268 170 135 115 97 80 69 64 72 92 107 94 71 75 118 58 46 75 101 108 101 86 68 54 46 49 51 47 42 37 37 42 53 79 124 166 142 111 110 143 184 322 552 700 721 762 896 978 1220 1710 2195 2465 2448 2110 1475 1046 644 477 795 1456 1956 1944 1644 1314 955 701 755 1082 1534 1798 1785 1783 1844 1874 1803 1674 1497 1170 1015 890 772 667 581 516 497 505 509 559 617 685 736
221 211 213 234 250 206 149 147 153 108 118 149 105 83 91 116 169 216 227 210 196 228 266 305 328 342 349 330 280 226 202 213 237 247 248 274 280 273 248 233 258 309 332 284 174 115 91 76 64 52 45 47 53 60 72 73 61 58 66 55 36 61 104 122 122 107 91 75 67 66 65 59 50 42 41 44 53 78 130 157 109 64 59 96 155 283 529 727 708 804 947 1051 1282 1650 1918 1932 1811 1649 1247 1007 695 493 603 995 1457 1621 1486 1264 936 693 605 684 783 974 1114 1229 1338 1438 1592 1579 1445 1379 1227 1053 876 729 634 601 623 621 618 580 589 623 673
208 187 220 191 196 158 106 110 109 63 53 46 42 77 111 144 192 223 229 231 222 267 274 277 306 339 346 311 255 215 204 212 199 202 211 244 255 229 196 178 185 208 214 170 106 82 68 61 53 49 56 64 61 58 70 61 55 51 41 57 37 31 77 107 113 104 94 86 83 81 82 74 58 48 47 49 56 73 109 117 74 37 48 108 189 304 504 660 682 854 987 1083 1202 1388 1514 1413 1240 1202 1099 958 753 523 352 426 762 1059 1168 1156 1087 1021 942 902 855 826 887 1032 1209 1334 1424 1434 1492 1507 1407 1258 1064 895 790 739 739 756 772 748 779 820 866
262 227 327 239 179 134 77 62 60 56 48 45 54 83 117 154 171 180 213 231 209 204 210 253 304 339 334 292 249 226 212 201 177 164 162 170 162 138 113 96 91 98 100 84 67 55 51 50 67 90 98 90 84 77 56 37 30 38 31 38 29 18 50 79 90 85 82 79 80 82 85 78 62 53 53 58 64 76 99 83 47 25 41 124 318 544 650 634 712 864 993 1026 990 1007 1107 1090 943 862 824 765 697 595 467 424 535 669 746 875 1007 1064 1086 1143 1201 1186 1121 1078 1221 1338 1382 1443 1584 1706 1756 1617 1374 1205 1108 1085 1075 1015 1038 1086 1103 1084 1081
328 229 255 215 152 110 87 85 84 76 60 55 74 93 127 155 163 167 174 162 156 170 213 270 317 338 316 266 229 220 200 170 140 111 93 90 83 71 59 52 49 51 52 53 55 62 66 75 92 95 73 51 42 33 25 16 10 16 19 19 10 7 29 59 65 59 60 57 57 61 65 62 54 53 55 62 70 75 75 58 35 32 63 156 445 633 622 649 740 859 908 843 745 715 751 775 732 683 651 606 595 604 613 629 634 612 640 710 866 970 1070 1154 1124 983 893 903 1033 1134 1158 1207 1429 1824 2074 1958 1687 1564 1589 1624 1649 1513 1430 1385 1315 1234 1197
396 358 349 292 208 138 101 95 89 99 89 102 133 143 149 156 155 139 108 101 126 173 233 283 318 322 291 245 214 196 155 112 76 53 40 36 39 48 62 73 77 70 63 69 88 101 85 65 49 23 2 2 5 7 14 6 2 2 4 5 2 7 25 46 42 37 34 32 32 32 32 30 31 32 38 48 54 54 49 40 31 37 83 178 472 566 586 630 688 737 717 626 557 540 543 540 566 595 594 582 576 581 616 673 676 547 669 725 797 873 956 998 933 849 825 834 963 1158 1191 1108 1176 1495 1765 1801 1690 1697 1761 1782 1765 1711 1612 1481 1359 1333 1479
481 456 394 305 228 156 95 81 102 109 103 98 103 103 105 110 106 84 72 84 124 178 241 281 294 286 258 215 174 142 92 57 35 27 29 40 61 86 109 124 120 107 94 84 93 85 54 25 10 3 2 2 2 0 0 0 0 0 0 1 2 10 20 20 20 19 17 16 14 12 10 7 8 8 9 15 21 23 26 30 31 53 124 261 380 434 487 518 525 524 508 478 461 457 464 463 488 526 553 563 560 553 551 531 503 468 495 543 585 630 703 819 751 725 721 755 843 1048 1265 1351 1336 1441 1517 1496 1493 1516 1531 1558 1600 1610 1543 1429 1352 1567 1779
443 334 193 128 116 88 63 62 99 84 71 58 49 49 66 93 102 73 79 90 129 176 223 249 250 235 205 160 111 79 46 28 24 29 44 71 101 110 85 76 60 60 59 48 42 30 14 5 2 2 2 2 2 1 0 0 0 0 6 18 5 11 11 9 7 5 4 4 3 2 1 1 1 1 2 3 4 4 11 27 40 73 122 178 208 257 290 299 310 334 358 382 395 391 390 384 401 426 448 465 467 457 445 418 392 379 368 359 378 419 453 484 468 449 433 473 506 614 792 973 1123 1131 1138 1161 1173 1190 1245 1351 1493 1593 1527 1376 1257 1275 1343
316 250 164 99 56 28 36 45 62 52 42 33 28 42 78 111 104 69 96 98 124 178 226 230 200 164 130 93 60 41 29 26 31 45 67 92 96 62 5 13 11 4 8 9 8 5 3 3 2 2 2 2 1 1 0 0 0 1 5 15 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 4 22 49 74 91 121 126 133 144 154 174 204 235 262 279 279 281 289 295 300 314 336 342 339 327 315 305 285 264 257 264 277 302 331 320 298 278 266 274 316 386 457 574 736 820 864 904 942 994 1134 1407 1544 1516 1415 1286 1225 1179
155 173 167 129 70 27 35 58 58 55 47 32 29 64 106 102 74 55 67 79 121 199 237 201 137 92 66 41 25 22 22 30 44 64 75 66 36 5 3 3 3 3 4 3 3 2 2 2 1 1 0 0 1 0 0 0 0 0 2 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 32 46 64 78 77 72 70 75 86 107 130 144 150 157 164 169 171 182 199 224 238 238 227 221 214 199 186 180 170 164 175 204 215 220 228 225 205 195 199 246 366 489 594 698 802 883 975 1163 1325 1415 1465 1460 1392 1334 1312
139 128 117 86 47 37 68 88 96 105 82 40 22 58 106 89 48 34 56 83 138 204 197 132 75 42 26 14 8 9 14 31 43 55 55 27 7 0 1 2 3 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 2 14 24 36 43 42 35 30 35 41 54 70 81 89 98 105 109 114 130 144 163 183 179 161 147 147 147 141 134 127 115 106 126 144 152 155 155 148 149 135 147 206 292 398 536 693 841 932 1003 1175 1305 1397 1450 1431 1370 1300
100 48 18 10 18 38 69 97 73 139 145 152 188 196 145 86 50 49 113 161 190 180 127 67 31 13 5 2 1 1 4 31 40 26 16 6 2 1 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 4 8 12 12 5 2 7 20 31 43 59 72 80 89 98 100 108 126 144 151 171 180 164 139 132 131 128 117 119 110 97 102 116 121 120 131 150 169 170 178 215 274 355 491 691 947 1138 1286 1389 1468 1542 1590 1562 1460 1322
24 8 7 11 13 22 47 84 72 152 198 210 213 193 152 107 89 84 185 238 203 133 73 33 11 2 0 0 0 0 4 15 14 3 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 1 1 2 5 7 11 27 44 61 78 88 94 102 104 98 102 124 144 155 176 193 190 172 156 145 142 131 129 124 116 109 111 121 122 135 165 205 267 376 490 580 675 818 1031 1246 1412 1563 1589 1547 1538 1569 1578 1433 1235
3 0 0 0 1 11 73 142 151 166 181 185 190 221 247 221 137 128 170 162 118 72 37 12 3 0 0 0 0 0 3 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 1 3 7 10 24 52 75 91 103 107 107 104 93 90 93 105 118 134 154 174 192 207 214 184 178 169 158 150 144 140 143 146 144 158 195 270 420 676 939 1044 1097 1190 1337 1401 1393 1362 1265 1141 1078 1089 1180 1056 931
6 3 1 0 3 21 98 164 176 157 147 177 243 306 308 254 196 149 106 75 52 31 15 2 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 1 5 9 13 20 49 82 99 104 105 101 94 88 81 79 79 83 90 104 124 148 169 192 203 204 206 202 192 181 167 157 155 165 191 241 336 454 615 852 1044 1143 1169 1180 1215 1158 1013 817 652 606 640 631 647 637 656
11 9 3 1 9 43 103 137 131 116 139 204 265 295 308 226 157 109 70 40 20 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 19 37 73 93 92 85 78 69 58 54 55 56 58 63 72 86 107 144 168 184 200 213 219 220 216 207 198 192 198 225 287 377 504 632 716 777 814 868 859 823 764 666 557 453 396 424 472 474 489 533 589
5 7 3 4 15 41 85 109 134 140 147 189 229 219 172 121 69 40 18 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 3 8 10 15 26 50 69 73 65 54 42 35 30 28 28 31 34 40 49 64 81 112 141 164 184 203 217 224 233 240 243 252 277 323 366 407 450 476 478 467 458 466 460 433 384 334 305 304 326 361 394 426 469 508 536
1 2 1 3 8 20 48 66 82 95 105 109 103 83 69 36 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 16 18 28 40 46 46 41 34 25 22 20 18 17 18 20 22 25 34 46 60 77 99 123 146 168 186 204 222 240 248 248 255 260 253 237 217 201 200 207 207 202 193 182 174 182 206 231 263 300 337 365 381 396
0 0 0 0 0 7 20 28 28 34 43 42 33 16 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 16 18 20 28 36 39 34 29 24 20 18 16 14 13 13 15 15 15 18 26 30 34 42 56 72 88 104 120 127 130 128 122 106 93 89 87 87 88 84 78 72 68 71 73 74 75 88 107 132 167 201 221 243 263
1 0 0 0 0 2 6 7 6 7 12 8 13 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 0 0 0 0 0 8 15 18 21 28 35 34 26 24 21 19 17 17 15 13 14 15 15 15 18 20 21 22 25 30 36 41 48 54 56 52 44 43 42 39 38 41 43 39 30 24 22 21 24 25 26 25 27 34 42 55 77 88 89 101
7 8 10 6 4 13 31 51 65 72 65 29 20 7 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 5 11 16 20 27 33 33 28 25 23 23 23 22 21 20 20 20 19 19 19 20 20 20 20 22 24 26 28 29 32 33 32 33 34 30 30 28 24 19 14 12 11 11 11 10 8 8 10 12 13 12 16 24 24 24
23 32 43 44 45 67 104 137 164 180 156 101 55 20 4 1 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 2 7 12 17 24 28 30 30 28 26 26 25 25 25 23 22 22 21 20 20 20 20 20 20 18 19 19 20 21 25 28 32 34 29 24 21 17 14 12 10 8 7 6 4 2 1 1 1 3 3 1 1 6 5 5
46 56 72 95 119 148 177 199 214 218 191 128 58 16 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 0 0 0 0 0 0 0 0 2 4 9 18 23 26 27 27 26 26 27 26 24 23 23 22 20 19 19 19 19 20 18 17 16 18 19 21 22 23 26 25 22 19 14 9 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 1 1 0
57 64 81 116 179 210 212 208 202 188 155 95 35 8 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 1 7 12 16 20 22 22 22 23 22 20 19 18 17 16 16 16 16 15 16 16 21 20 18 19 20 21 20 19 19 18 16 13 7 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
62 70 86 133 198 218 197 165 138 115 90 48 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 10 11 12 10 15 11 11 10 9 9 10 11 11 11 13 17 19 20 19 18 18 17 16 15 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
71 81 104 145 177 174 139 94 56 32 16 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 2 2 1 2 3 4 2 3 6 8 11 13 13 12 14 12 8 4 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
79 99 124 140 138 115 78 38 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 5 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
104 123 130 122 98 62 29 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
127 125 107 81 45 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
122 97 65 35 12 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
90 51 24 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
40 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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