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 5 5 3 4 5 6 7 8 7 8 8 9 10 11 8 5 6 9 7 7 8 6 5 7 8 9 10 10 11 10 10 9 9 7 6 7 8 7 7 7 8 8 7 7 8 7 8 9 9 8 7 7 8 9 9 7 6 6 7 9 10 10 7 7 8 9 8 7 7 7 7 8 8 8 8 7 8 8 7 nan
nan 5 5 4 4 4 3 5 7 7 7 8 7 7 8 9 8 7 8 8 8 9 7 6 7 7 8 9 11 11 11 9 8 9 8 7 8 8 8 7 7 9 9 8 7 8 8 8 8 8 8 7 7 8 10 10 8 7 6 7 8 9 9 9 7 8 9 8 7 6 5 6 7 8 8 8 8 8 8 8 nan
nan 6 5 6 6 5 3 3 5 6 7 7 7 6 7 8 9 8 8 8 9 10 10 9 8 7 7 9 10 11 10 9 8 8 9 9 8 8 8 7 7 9 10 8 7 8 9 9 8 7 8 7 8 8 10 9 8 8 7 8 9 8 8 9 9 9 10 9 9 8 5 4 5 7 8 7 8 9 9 8 nan
nan 7 6 6 6 6 5 4 5 7 8 8 8 7 6 7 9 9 8 8 8 10 10 9 8 8 8 9 10 10 9 9 8 8 9 10 9 8 7 6 7 9 10 9 8 9 9 9 8 8 8 8 8 9 9 8 7 7 9 10 9 8 8 8 8 10 10 10 10 10 8 7 6 6 7 7 7 8 9 8 nan
nan 8 7 7 6 5 5 5 5 7 8 9 8 8 7 7 7 7 9 9 8 9 9 8 9 8 8 9 10 10 9 10 9 8 9 9 9 9 7 6 7 8 10 9 9 10 10 9 8 8 8 8 9 9 8 6 5 7 10 10 9 8 7 7 7 8 9 9 10 10 9 10 9 8 8 8 8 9 9 8 nan
nan 8 8 8 8 6 5 4 5 7 8 9 9 8 8 8 6 5 8 9 9 9 8 7 9 9 8 8 10 10 10 10 10 9 10 10 8 9 9 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 5 4 7 11 10 8 8 8 8 7 7 8 8 9 9 8 8 9 9 10 9 10 11 10 8 nan
nan 8 8 9 9 8 7 5 4 6 8 8 8 8 9 9 7 7 6 8 10 9 8 7 8 9 8 9 11 11 11 11 11 10 10 10 9 8 8 9 8 7 6 7 9 10 9 8 8 8 7 8 8 8 7 5 4 6 9 9 9 10 10 10 8 7 7 7 8 9 9 7 8 9 10 10 10 10 9 9 nan
nan 9 9 9 9 9 8 6 5 6 6 7 8 8 9 9 9 9 8 8 9 10 9 9 9 8 8 10 11 11 10 11 11 11 11 10 10 9 8 7 8 7 6 7 8 9 9 7 8 8 8 8 7 8 7 6 5 7 9 7 7 10 11 11 10 8 7 6 7 8 9 8 8 8 8 9 9 9 9 9 nan
nan 9 9 9 9 9 9 8 6 6 6 6 7 8 9 9 9 10 10 8 8 10 10 10 9 9 9 10 10 9 10 10 10 10 11 11 12 11 10 8 7 7 7 7 8 9 8 8 7 7 8 8 8 7 7 6 5 7 8 7 7 9 10 11 11 10 8 7 7 8 8 8 8 9 8 8 9 9 8 8 nan
nan 8 7 8 9 8 8 8 7 6 5 6 7 8 8 8 8 9 11 10 8 8 9 9 9 10 10 11 10 8 8 8 8 10 11 11 11 12 11 9 8 8 8 8 9 8 8 7 7 7 6 7 8 8 7 6 6 8 7 7 8 8 9 10 10 10 9 9 7 8 9 8 8 8 9 9 9 9 9 9 nan
nan 8 7 7 8 7 7 8 7 6 6 7 8 7 7 7 7 7 8 10 9 9 8 8 10 11 10 10 12 10 7 6 7 8 10 10 10 11 11 10 9 9 9 9 9 9 8 8 7 7 6 5 8 10 8 6 7 8 8 8 9 9 9 8 8 10 9 9 8 8 9 9 8 7 8 9 9 10 9 9 nan
nan 10 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 6 6 8 9 9 8 9 10 11 9 9 12 10 8 7 6 7 8 8 9 10 11 11 9 9 9 9 9 9 9 9 8 8 7 5 7 11 9 7 8 7 8 9 9 9 9 8 8 9 9 9 8 7 8 9 8 7 7 7 9 9 9 9 nan
nan 12 10 9 9 9 9 7 7 6 8 9 9 10 10 8 7 6 6 7 8 9 10 10 9 8 8 9 11 10 9 8 7 7 6 6 8 10 11 10 8 8 9 10 9 8 9 9 9 8 7 7 8 9 8 8 8 8 7 8 8 7 9 9 8 9 8 8 8 8 8 8 8 8 7 6 7 9 9 9 nan
nan 14 13 11 10 11 10 8 6 6 7 9 10 11 11 9 7 6 7 7 8 9 10 9 8 6 6 9 11 10 10 10 9 7 6 6 8 10 11 9 7 8 10 11 10 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 8 9 9 8 7 7 8 8 7 8 9 8 7 6 6 7 9 10 nan
nan 13 13 13 13 12 11 9 7 6 7 8 9 10 11 10 8 6 6 7 8 11 11 9 8 7 6 7 9 11 12 11 9 8 8 9 10 10 9 7 7 8 10 12 11 9 9 8 8 9 8 8 9 9 9 10 9 9 8 6 5 4 6 9 9 8 7 6 6 7 7 8 8 8 8 6 6 7 8 9 nan
nan 10 10 12 13 13 12 9 8 7 6 7 8 9 10 11 9 7 7 5 7 11 11 10 9 8 7 6 6 9 12 11 9 10 11 12 12 9 8 7 6 8 10 11 10 10 9 8 8 9 10 9 9 9 10 10 10 9 9 7 6 5 6 8 9 9 8 6 5 6 9 9 7 7 7 7 7 7 9 9 nan
nan 9 8 9 11 13 13 10 8 7 6 6 7 8 9 10 9 9 9 6 7 11 10 10 9 8 8 8 7 6 7 9 9 11 12 13 11 9 8 7 7 7 9 10 9 10 10 8 6 8 10 9 8 9 11 11 10 9 9 9 8 7 6 8 9 10 10 8 5 5 8 10 8 7 8 7 7 7 8 9 nan
nan 9 9 8 9 12 13 11 8 7 7 8 7 7 8 8 9 9 9 8 8 10 10 9 8 8 8 9 9 7 6 6 8 11 12 13 11 9 8 7 6 6 9 10 9 9 9 8 6 7 9 8 8 8 9 10 9 9 9 9 8 8 7 8 9 9 10 10 8 6 7 9 9 8 9 8 7 8 8 8 nan
nan 9 9 8 9 11 13 11 10 8 8 9 8 8 8 9 9 8 8 8 9 11 11 10 9 9 9 9 9 9 7 5 6 9 11 12 11 9 7 6 6 7 9 10 9 9 9 8 7 7 8 8 8 8 9 9 8 8 8 7 8 8 8 8 8 8 10 12 11 9 8 8 9 8 8 7 7 8 9 8 nan
nan 9 9 8 8 10 11 10 10 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 9 9 9 10 9 9 7 6 7 8 10 11 10 8 7 7 8 9 10 9 9 8 7 7 7 7 8 9 8 9 9 9 7 7 6 5 7 9 9 9 8 8 10 10 10 10 11 10 8 7 6 5 7 8 9 nan
nan 8 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 8 8 9 10 10 10 12 13 10 9 9 9 9 9 9 7 5 5 7 9 9 9 9 9 8 9 9 9 9 8 8 8 7 7 8 9 9 9 10 10 7 7 6 5 6 7 8 9 9 8 8 8 9 11 13 10 9 8 7 5 6 7 8 nan
nan 8 9 9 10 10 9 8 7 7 8 10 10 9 9 11 10 9 7 9 11 10 9 12 12 10 9 9 9 8 8 9 8 6 5 5 8 9 9 10 9 8 8 9 9 8 8 9 10 10 7 7 8 9 9 11 10 9 8 7 7 7 6 6 7 8 8 7 6 8 10 12 11 9 9 8 7 6 7 8 nan
nan 10 9 9 9 10 10 8 7 7 7 8 9 8 9 10 11 10 8 9 11 11 10 10 11 11 10 10 9 9 8 8 8 8 7 6 7 9 8 8 8 8 9 9 9 8 8 9 10 10 9 8 7 7 8 10 10 10 8 8 9 9 7 5 6 7 7 6 6 7 10 12 11 9 9 10 8 6 5 6 nan
nan 10 10 9 9 10 10 8 8 8 7 8 7 8 9 8 9 10 10 10 11 12 11 9 9 9 10 11 11 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 9 9 9 9 9 9 9 7 6 7 9 9 9 10 9 9 8 7 6 7 7 7 6 6 9 12 11 9 8 11 11 8 5 3 nan
nan 10 11 10 10 11 10 8 8 9 9 9 8 8 8 7 7 9 10 11 11 11 9 8 9 9 9 10 11 9 7 8 9 9 9 8 8 8 7 8 7 7 7 7 8 9 9 8 8 9 10 10 10 9 6 6 7 8 9 9 10 10 10 9 7 6 6 6 6 7 9 11 11 9 7 9 12 11 8 5 nan
nan 10 13 12 11 11 11 9 8 9 9 10 10 9 9 8 8 8 10 10 10 10 9 8 9 9 9 10 10 9 7 8 10 9 9 9 8 8 8 8 8 8 8 8 7 8 10 9 8 9 10 10 10 9 9 8 7 7 7 8 9 10 11 10 8 7 7 7 7 8 8 9 11 12 11 9 9 9 9 9 nan
nan 10 14 14 14 13 12 11 9 9 10 10 9 10 11 10 9 9 10 9 9 9 9 9 9 9 10 11 11 9 6 7 8 9 10 10 9 9 9 9 10 9 9 8 9 8 10 12 9 7 8 9 10 10 10 10 9 8 7 7 7 7 9 10 8 7 7 7 7 8 7 7 9 12 14 14 12 8 7 7 nan
nan 10 12 14 15 14 14 13 11 10 10 11 9 9 10 11 11 10 9 8 7 8 9 10 10 9 9 10 12 11 7 5 6 7 9 9 9 9 9 10 10 10 10 9 9 8 10 13 10 8 8 10 11 13 13 12 11 10 9 7 6 6 7 8 8 6 6 7 8 8 7 6 6 9 12 14 15 13 10 6 nan
nan 10 11 13 14 13 13 13 12 12 11 11 10 8 9 10 11 11 10 7 5 6 8 10 11 11 11 11 11 11 10 7 5 6 8 10 10 9 9 10 11 10 10 10 9 8 9 10 10 10 12 13 14 14 14 14 13 12 11 9 7 7 7 7 8 7 6 6 8 8 7 6 5 7 11 13 14 15 14 10 nan
nan 11 11 12 12 13 12 12 12 12 11 10 10 9 9 9 10 12 11 8 6 5 7 10 10 11 11 11 10 9 10 9 8 7 9 10 9 9 9 10 12 12 11 10 9 8 8 7 7 11 17 18 15 13 13 12 11 12 12 11 10 10 9 9 8 7 6 6 7 8 8 7 7 6 8 11 12 13 15 14 nan
nan 10 10 11 12 13 12 11 11 11 11 11 10 9 9 10 11 13 12 9 7 7 7 8 9 10 10 9 8 6 7 9 9 9 9 9 8 8 8 9 11 12 12 12 9 8 7 6 5 9 20 22 15 12 12 11 10 10 10 9 9 11 12 10 8 7 8 8 6 7 8 7 8 8 9 10 11 13 14 14 nan
nan 8 10 10 12 12 11 11 11 12 11 11 10 9 8 9 11 12 11 10 9 9 9 8 8 7 8 7 7 7 7 8 8 9 10 9 7 6 7 8 9 11 12 12 10 8 7 5 4 10 20 21 16 13 11 10 10 9 8 7 7 10 13 11 9 9 9 9 7 7 7 6 7 9 9 10 12 13 13 14 nan
nan 9 9 10 11 11 10 10 11 12 12 11 11 10 10 10 11 10 10 10 10 10 12 11 8 6 6 4 4 7 8 9 8 9 11 10 7 6 6 6 7 9 11 11 10 8 7 5 5 11 19 19 15 13 12 11 10 9 7 5 6 9 11 11 10 10 10 9 8 6 5 5 6 8 9 11 12 14 14 14 nan
nan 9 9 10 10 9 9 10 10 10 11 11 11 11 11 11 11 10 10 11 11 12 12 12 10 7 6 5 5 6 7 7 7 10 13 12 9 8 6 6 6 8 11 13 10 8 6 5 6 12 17 17 15 13 12 12 10 8 7 6 6 7 9 10 10 10 10 9 9 8 7 7 8 10 12 12 12 14 13 12 nan
nan 10 10 10 9 8 9 10 10 10 10 10 10 11 11 10 10 10 9 10 11 12 13 12 10 8 7 8 9 9 6 4 6 11 14 13 11 10 9 8 7 8 11 15 12 8 6 6 6 12 18 17 15 13 12 12 11 9 8 7 6 6 8 10 11 11 10 10 10 10 11 13 12 11 13 13 12 12 11 9 nan
nan 10 11 10 8 8 11 10 9 10 10 10 11 12 12 11 10 10 9 9 9 11 12 11 10 9 10 11 12 11 8 4 6 10 11 11 11 11 10 9 8 9 11 14 13 9 6 7 8 14 18 16 14 12 12 12 11 10 8 6 4 4 7 11 12 13 14 13 12 12 14 15 14 12 11 11 10 10 9 7 nan
nan 10 11 9 8 9 11 9 9 9 10 10 11 13 13 12 11 11 10 10 9 9 9 10 11 11 12 13 12 11 9 7 6 7 8 8 9 10 9 8 7 8 10 11 11 10 8 6 10 15 17 16 13 12 12 11 10 9 8 5 1 2 6 12 13 12 15 17 16 14 14 13 12 10 9 8 7 6 7 7 nan
nan 10 10 9 8 8 9 9 9 11 11 10 10 11 12 12 12 12 11 11 10 10 8 10 13 14 13 12 11 10 10 9 6 6 7 7 9 9 9 7 7 9 10 10 9 8 8 6 10 17 19 17 14 12 12 10 10 9 8 5 1 0 5 11 12 12 13 15 14 12 10 10 10 9 8 8 6 6 6 7 nan
nan 10 10 10 9 8 8 8 10 11 11 10 10 10 11 11 12 12 11 10 11 12 11 13 16 16 15 13 12 11 11 9 8 7 7 8 10 11 10 8 8 9 10 10 9 8 7 8 13 19 20 18 15 13 11 10 10 10 10 8 3 2 4 8 11 12 12 12 9 8 7 7 9 9 10 10 8 7 7 7 nan
nan 10 10 9 10 9 8 8 9 9 10 11 10 9 9 10 11 12 11 10 11 12 12 14 16 16 15 15 14 12 11 10 10 9 8 8 10 12 13 11 10 9 9 10 10 8 7 7 15 21 20 18 14 12 11 10 11 12 13 11 8 5 5 6 7 10 10 9 8 7 7 7 8 9 10 10 9 8 7 7 nan
nan 10 9 9 10 9 9 10 9 9 10 11 10 10 10 10 11 12 12 12 13 13 12 13 14 13 13 14 14 13 11 10 10 11 11 10 10 12 13 13 12 11 9 10 10 9 7 6 15 21 20 16 13 11 10 10 12 14 15 12 9 6 7 9 8 9 8 7 7 7 6 7 8 8 9 8 8 7 7 7 nan
nan 11 9 8 10 11 10 10 10 10 10 10 10 10 11 11 12 12 13 14 16 15 13 11 12 12 11 11 11 11 11 10 9 11 13 12 10 11 12 12 12 12 10 10 10 9 8 8 14 18 18 16 12 10 10 11 12 14 12 8 4 4 9 12 9 8 7 6 7 8 8 8 8 9 9 8 7 7 7 8 nan
nan 11 10 8 9 11 11 11 10 10 10 9 9 10 11 12 12 12 13 14 15 15 14 12 11 10 10 10 9 10 11 10 9 10 13 14 14 12 11 11 11 11 11 11 10 10 10 11 14 18 20 17 12 10 10 12 13 12 8 3 2 7 13 11 8 6 6 7 9 12 12 11 10 9 9 8 8 8 8 9 nan
nan 12 11 8 8 10 11 11 10 9 9 8 9 10 11 12 11 10 11 13 12 10 11 11 9 7 8 10 10 10 12 12 12 12 13 14 16 15 12 11 11 10 10 12 12 12 11 11 14 20 24 20 14 12 12 13 13 11 7 3 2 7 11 9 6 6 8 10 11 13 12 11 11 10 10 9 9 8 8 10 nan
nan 12 11 10 9 10 11 11 11 10 9 8 7 8 10 13 12 9 9 11 11 9 9 9 8 6 7 9 11 13 16 16 15 14 14 14 15 15 12 11 11 11 11 12 13 14 13 12 13 18 26 25 18 16 15 13 12 7 3 3 4 6 7 5 5 7 9 10 11 11 11 9 10 9 9 10 9 8 9 12 nan
nan 12 11 10 10 11 12 12 11 10 9 7 6 7 9 13 15 12 11 11 10 8 11 12 11 8 9 11 12 12 14 16 15 14 13 13 14 14 12 12 13 13 12 12 14 14 13 13 12 13 21 25 22 18 15 12 9 4 1 3 6 7 5 5 7 8 8 8 9 9 9 9 9 8 7 7 8 9 11 14 nan
nan 11 11 11 12 13 12 11 10 9 8 6 6 7 9 11 12 13 13 13 11 9 10 12 12 11 12 15 14 10 9 10 11 11 12 12 13 14 14 14 15 16 14 14 15 14 15 14 13 12 15 20 19 16 13 10 7 6 4 4 6 8 6 7 8 9 8 7 7 8 7 9 9 8 7 6 7 9 11 14 nan
nan 10 11 12 13 13 12 11 11 9 6 5 6 8 10 9 8 9 10 12 13 12 11 12 12 10 12 16 15 11 8 8 9 10 11 12 13 15 16 15 16 17 16 16 17 16 17 16 14 12 11 13 14 12 9 7 7 6 6 6 7 7 6 7 8 9 10 10 8 8 8 8 8 7 5 5 7 9 10 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
CAPE
56 54 56 56 52 47 45 52 65 75 75 64 51 40 35 41 53 60 58 56 61 65 62 49 39 38 46 55 56 47 38 26 19 20 24 28 26 19 11 5 1 0 0 0 0 0 0 0 0 2 7 8 6 3 3 8 12 12 10 7 5 6 10 15 14 10 7 10 20 22 12 6 4 4 8 17 24 31 43 59 71
48 44 44 46 46 44 42 45 54 64 71 67 56 41 30 30 38 48 48 48 56 65 64 51 37 33 40 52 57 49 39 29 23 20 17 16 15 12 8 4 1 0 0 0 0 0 0 0 0 4 10 13 10 6 5 8 10 10 10 10 10 13 20 28 31 26 17 14 19 22 17 14 13 16 21 28 34 38 43 51 63
41 37 38 39 40 40 40 42 47 54 64 66 57 42 28 25 29 37 36 36 42 52 57 52 42 34 36 45 51 46 39 32 26 20 12 8 8 7 5 2 0 0 0 0 0 0 0 0 0 3 11 15 12 8 8 8 6 6 7 11 16 21 30 36 41 41 35 26 21 20 18 19 22 28 34 39 42 39 35 36 45
38 35 34 34 34 32 32 33 35 42 50 54 49 39 28 24 26 32 32 30 30 34 41 47 46 41 38 40 43 41 37 32 26 18 9 5 5 5 3 1 0 0 0 0 0 0 0 0 0 1 7 11 10 7 7 5 3 1 3 7 12 19 29 37 45 51 52 44 32 22 16 16 21 28 34 37 36 29 19 15 20
30 29 26 26 25 23 21 21 24 32 40 44 43 36 28 24 25 30 32 30 25 22 27 37 45 46 43 41 42 38 35 29 21 13 7 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 2 4 4 3 3 1 0 0 0 2 5 11 18 26 38 52 63 62 46 30 19 15 15 22 24 24 20 11 3 1 3
19 19 17 16 15 15 15 15 18 26 34 40 41 37 31 26 25 29 34 35 29 22 20 26 33 39 44 46 46 39 34 26 15 9 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 4 7 12 23 42 62 68 57 40 27 20 18 21 24 24 20 14 7 4 2
9 10 10 8 8 9 11 12 14 21 30 39 43 42 38 29 24 28 35 39 38 30 21 18 20 27 38 50 53 42 34 24 13 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 8 22 45 57 56 45 32 23 21 26 32 38 38 33 24 16 11
2 4 4 4 3 4 7 8 10 17 28 39 46 48 44 33 23 22 29 37 44 42 31 24 21 24 34 50 55 45 33 21 12 6 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 1 1 1 1 2 7 19 33 39 37 29 20 18 23 31 40 45 45 41 33 27
0 1 1 1 1 2 3 5 8 15 28 39 46 49 46 36 24 20 24 33 44 50 45 38 30 26 31 45 52 43 29 15 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 1 1 1 0 1 4 10 16 20 18 13 12 15 20 27 33 34 35 35 34
0 0 0 0 0 1 2 3 6 13 24 35 42 44 43 36 28 22 22 28 40 52 55 49 39 32 33 41 46 39 24 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 6 8 11 16 21 23 22 21 22 23
0 0 0 0 0 0 1 2 4 10 19 28 35 38 40 38 33 27 24 26 35 46 53 52 46 40 36 37 41 34 19 6 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 2 3 4 9 15 22 24 21 18 15 14
0 0 0 0 0 0 1 2 4 8 15 24 31 36 40 40 37 32 28 28 32 36 41 47 51 49 39 36 37 28 15 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 4 10 17 20 19 16 14 13
0 0 0 0 0 0 1 3 4 7 12 21 30 36 42 42 38 33 31 32 33 31 32 40 50 52 42 36 31 22 11 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 1 2 4 8 9 8 8 9
0 0 0 0 0 0 1 5 7 9 12 20 30 37 42 40 35 30 28 32 35 31 30 34 42 47 41 32 24 16 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 1 1 2 3
0 0 0 0 0 0 2 6 9 11 14 20 29 36 39 36 29 24 22 27 33 33 29 27 30 36 36 28 19 11 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 2 4 8 9 12 18 27 34 36 31 24 18 18 22 29 31 25 20 20 25 27 23 15 9 5 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 1 2 4 4 7 13 22 30 32 26 18 14 15 18 24 26 21 16 14 16 18 16 12 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 1 2 6 14 24 27 22 15 11 12 15 22 22 18 13 10 10 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 0 0 0 0 0 0 0 0 1 5 15 22 19 13 9 10 14 21 21 17 12 9 9 9 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 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 17 13 9 9 13 19 20 16 12 9 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
0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 12 9 8 11 16 18 15 11 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 8 6 8 12 15 15 10 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 0 0 0 0 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 7 6 6 9 13 13 8 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 1 3 4 3 4 7 9 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 2 7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 9 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 15 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 10 17 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 11 20 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 9 10 15 21 28 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 18 16 16 22 28 30 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 13 11 12 17 21 21 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 4 8 11 12 9
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 1 1 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 0 0 0 0 0 0 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 11 15
0 0 0 0 0 0 0 1 2 2 3 4 4 4 6 7 8 7 6 4 4 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 1 3 4 5 6 9 14 22 30 34
0 0 0 0 0 0 2 4 6 8 8 9 10 12 15 16 15 13 11 11 13 14 14 11 6 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 2 7 8 8 11 17 25 36 46 48
0 0 0 0 0 1 4 9 12 14 13 13 15 19 21 19 15 13 13 15 18 19 19 16 10 4 3 3 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 7 7 10 18 32 40 42
0 0 0 0 0 1 6 12 16 16 14 15 18 21 22 20 18 17 16 14 13 12 13 13 10 5 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 2 3 2 1 0 3 14 21 24
0 0 0 0 1 3 8 13 16 16 15 15 17 17 17 16 18 17 15 11 7 5 6 5 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 2 6 11
0 0 1 2 4 6 10 15 18 18 18 16 15 12 10 9 8 8 7 5 2 2 2 2 3 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 2 8
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