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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 7 4 2 -0 -1 1 4 7 12 16 22 27 33 37 41 44 47 50 52 52 51 48 45 40 37 32 27 22 18 15 13 13 12 11 11 10 10 10 11 12 12 11 11 10 10 10 10 11 12 12 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 12 12 13 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 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 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 15 15 16 16 16 15 15 14 13 12 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 13 14 14 14 13 12 11 10 10 10 11 11 11 10 9 7 6 4 3 1 1 2 5 9 14 21 26 29 29 27 22 16 11 7 5 4 4 6 9 13 17 21 24 25 24 22 20 18 16 14 13 12 11 11 11 10 11 11 11 11 11 11 12 13 14 15 15 16 16 16 15 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 11 12 14 15 17 20 22 24 23 19 16 14 13 12 12 11 9 8 8 8 8 9 10 10 11 11 12 12 13 12 12 10 9 10 12 13 13 11 10 9 9 8 8 nan
nan 7 9 9 9 7 4 2 1 1 3 4 7 10 16 21 27 32 37 40 42 45 47 48 49 49 48 47 45 42 37 33 27 23 18 15 13 12 11 10 10 10 10 11 11 11 11 11 10 10 11 11 12 13 13 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 11 12 12 12 12 12 13 13 12 12 12 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 8 8 7 7 7 8 8 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 12 13 14 15 15 16 16 16 16 15 14 13 12 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 14 14 14 14 12 11 10 10 10 11 11 11 10 9 7 5 3 2 1 1 2 5 10 16 22 28 30 29 26 21 16 11 8 6 4 3 4 7 10 14 18 22 24 24 23 21 19 17 15 14 13 12 11 11 11 11 11 11 11 11 11 12 13 14 15 15 16 16 15 15 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 10 10 11 12 13 14 16 17 19 20 19 17 15 13 12 12 12 11 9 8 8 9 10 11 11 11 11 10 10 11 12 13 12 10 9 9 10 10 9 8 8 8 8 7 7 nan
nan 6 8 9 8 7 6 5 4 4 3 4 4 6 8 13 18 26 30 36 39 42 43 45 46 47 47 49 48 48 45 43 37 33 27 22 18 15 13 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 11 11 11 12 12 12 13 12 12 12 11 11 10 10 9 9 9 9 10 10 9 9 9 8 8 8 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 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 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 13 13 15 15 16 16 16 16 15 14 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 12 14 15 15 14 13 11 10 10 10 11 11 11 10 8 6 4 3 1 1 1 3 7 12 18 24 29 31 30 26 22 16 12 9 7 5 4 4 5 7 10 15 19 22 23 23 22 21 18 17 15 14 13 12 11 11 11 11 11 11 11 11 12 13 14 15 15 16 16 15 15 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 10 10 10 10 11 12 13 15 17 19 20 19 17 15 13 12 12 12 11 10 10 9 10 11 12 12 11 10 9 9 9 11 12 12 11 10 9 9 8 7 7 7 6 6 5 6 nan
nan 6 7 7 7 6 5 5 6 7 7 6 4 3 2 5 8 14 21 27 33 37 41 42 44 44 46 46 48 49 50 50 47 43 39 32 27 21 18 14 13 11 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 13 13 12 11 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 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 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 12 12 13 14 15 15 16 17 17 16 15 14 12 12 11 11 11 11 11 11 11 10 10 9 9 9 10 11 12 14 15 15 14 13 12 10 10 10 10 11 11 9 8 5 3 2 0 0 0 4 9 15 20 27 31 33 31 27 22 17 13 11 9 7 6 4 4 5 7 11 15 19 22 23 23 22 20 18 17 15 14 13 12 12 11 11 11 11 11 11 12 13 14 15 16 16 16 15 15 14 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 11 12 13 16 18 20 20 19 16 13 11 11 11 12 12 11 10 10 9 9 8 8 8 8 7 8 10 12 12 11 10 9 8 7 7 7 6 5 4 3 3 nan
nan 7 7 6 5 4 3 4 6 8 9 8 6 3 1 -0 1 3 9 14 22 28 34 37 41 43 44 45 46 47 50 51 52 51 49 44 39 32 27 21 17 15 13 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 10 11 11 11 12 13 13 12 11 10 10 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 12 13 13 14 15 16 17 17 17 16 14 13 12 11 11 11 11 11 11 11 10 10 9 9 9 10 11 12 14 15 15 14 13 12 11 10 10 10 10 10 9 8 6 3 1 -1 -1 1 4 10 18 25 30 34 34 32 28 22 18 14 12 10 9 7 6 4 4 5 8 11 16 19 21 23 23 22 20 18 17 15 14 13 12 12 11 11 11 11 12 13 14 15 15 16 16 16 15 15 14 14 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 5 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 9 9 10 10 12 13 15 17 19 18 16 14 12 11 12 12 13 12 11 10 7 6 5 5 6 6 7 8 10 12 12 11 9 8 8 8 9 9 7 6 2 0 1 nan
nan 7 7 6 4 3 2 3 4 6 8 8 7 5 2 0 -1 -1 1 5 10 16 22 29 33 38 40 43 44 46 46 48 50 52 52 51 48 44 38 32 26 22 18 16 14 13 12 12 12 11 11 11 12 12 13 13 14 14 14 14 14 13 13 13 12 12 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 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 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 12 12 12 13 13 14 16 16 17 17 17 15 14 13 12 11 11 11 11 11 11 10 10 10 9 9 10 11 12 13 14 15 15 14 12 11 9 9 9 10 10 9 8 6 3 1 -1 -2 0 5 12 21 29 34 38 37 32 28 23 19 15 13 11 10 8 7 5 5 5 6 9 13 15 18 21 22 22 21 20 18 17 15 14 13 13 12 11 11 12 12 13 14 15 16 16 16 16 16 15 15 14 13 12 11 11 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 10 12 13 15 16 15 14 13 12 12 13 13 13 12 10 8 6 5 5 6 6 7 9 11 13 13 11 10 8 8 9 10 11 11 8 4 3 2 nan
nan 7 7 6 4 3 1 2 2 4 6 7 6 5 4 2 -0 -1 -1 0 3 8 12 18 23 29 33 37 39 42 43 45 46 48 49 51 50 49 46 42 36 32 26 22 18 16 14 13 13 12 12 12 12 12 13 14 14 15 15 14 14 13 13 13 13 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 12 12 13 13 14 15 16 17 17 17 16 15 13 12 12 11 12 12 12 11 11 10 10 9 9 10 11 12 13 14 14 14 13 12 10 9 8 8 9 10 10 8 6 4 1 -2 -2 -0 5 14 24 32 39 41 40 35 29 24 19 15 13 12 10 9 8 7 6 5 6 7 9 12 15 18 20 21 21 21 20 18 16 15 14 13 13 12 12 12 13 13 15 16 16 17 17 16 16 16 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 10 12 13 14 13 12 11 11 11 12 12 11 10 8 7 6 6 7 8 9 9 11 12 12 12 11 9 9 10 11 13 13 12 9 8 7 nan
nan 8 7 6 5 3 1 1 1 2 3 4 5 5 5 3 2 1 -0 -0 1 3 6 9 13 17 22 27 32 35 39 40 42 43 45 47 49 50 49 48 45 41 36 31 27 22 19 17 15 14 13 12 12 12 12 13 14 14 14 14 13 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 13 14 15 16 16 16 16 16 15 14 13 12 12 12 12 12 12 11 11 10 10 10 10 11 12 13 14 14 14 13 12 10 8 7 7 8 9 10 9 7 5 1 -1 -2 -0 4 14 26 35 42 45 42 36 29 24 19 15 13 12 11 10 9 8 7 6 5 6 7 10 13 15 18 20 21 21 20 19 17 16 15 14 13 13 13 13 13 14 15 16 17 17 17 17 16 16 15 14 13 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 8 8 9 9 9 10 10 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 10 9 8 9 9 10 10 9 9 8 8 8 9 10 10 10 11 11 12 12 12 10 10 9 10 11 12 13 12 12 10 nan
nan 10 8 6 5 3 2 1 1 1 2 3 4 5 5 4 3 2 2 2 3 3 4 5 7 7 11 14 20 24 30 33 36 37 40 42 45 47 49 49 50 48 46 41 37 32 27 23 21 18 17 15 14 13 12 12 12 13 13 13 12 12 11 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 10 11 12 12 12 11 11 10 10 10 9 9 9 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 15 15 14 13 12 12 12 12 12 12 12 11 10 10 10 10 10 12 13 14 14 14 13 11 9 7 7 7 7 9 9 9 8 6 2 -1 -2 -1 4 12 25 36 42 45 42 35 28 23 18 15 13 12 11 11 10 9 8 7 6 6 7 8 11 13 17 19 20 20 20 19 18 17 16 15 14 13 13 13 14 15 16 17 17 17 17 17 16 16 15 14 13 12 11 11 10 9 9 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 5 5 5 6 7 8 8 8 7 7 7 7 8 8 9 10 10 11 11 11 11 11 11 11 10 11 11 11 10 9 8 7 8 9 11 12 12 12 nan
nan 12 9 7 5 4 2 2 1 1 2 3 4 4 5 4 4 3 2 3 4 6 6 6 5 5 5 6 9 13 17 22 25 29 32 36 39 43 45 47 49 49 49 47 45 41 37 32 29 25 22 20 17 16 14 13 12 12 12 12 13 12 12 11 10 10 10 10 11 11 12 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 9 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 15 14 13 13 12 12 12 12 12 12 12 11 10 10 10 10 11 13 14 15 14 13 11 9 7 6 6 7 8 9 10 9 7 4 1 -1 -1 3 10 21 31 37 40 38 32 26 21 17 14 13 12 11 11 10 9 8 7 6 6 6 8 10 12 15 18 19 20 20 19 19 18 16 15 14 14 14 14 15 16 17 17 18 18 17 17 16 16 15 14 13 12 11 10 10 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 10 10 10 9 9 8 7 6 6 5 5 6 8 9 9 9 8 7 7 7 7 8 10 12 14 14 14 13 12 12 11 11 10 10 10 10 10 10 8 6 5 6 8 10 12 12 nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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115 113 112 100 78 57 43 30 27 27 33 46 65 87 112 133 151 155 150 143 138 133 138 142 142 139 135 135 137 139 142 143 144 142 136 130 127 126 129 135 142 142 128 109 84 59 42 34 33 47 65 78 85 90 103 121 138 151 162 165 168 165 153 143 137 135 135 138 141 140 134 130 126 122 120 117 121 129 131 135 135 133 128 121 114 107 103 101 94 84 77 73 64 55 55 55 57 60 63 65 60 54 52 50 62 73 77 86 95 99 113 128 127 116 107 97 87 68 57 52 53 51 51 51 50 52 50 38 28 25 21 16 12 9 7 6 4 4 3 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 9 11 18 26 34 40 42 40 32 24 16 10 6 5 5 5 6 8 11 12 14 16 16 17 17 17 18 17 17 16 15 15 14 15 15 17 19 20 23 26 28 31 34 37 40 40 39 34 28 25 22 20 19 18 15 12 9 6 4 3 2 2 2 3 4 4 5 6 6 5 4 3 2 1 1 1 1 1 1 2 2 3 3 4 5 5 5 5 5 6 6 8 9 10 11 11 10 9 9 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 12 14 15 18 21 26 29 27 24 20 15 12 11 10 10 11 11 14 17 20 26 33 42 51 59 64 68 61 56 51 50 51 48 45 41 38 36 37 38 39 41 44 43 43 44 46 48 50 50 49 47 44 41 39 37 36 36 37 36 34 34 34 35 37 39 40 41 41 43 45 44 42 37 33 28 23 18 13 11 12 14 19 25 28 29 30 32 35 40 45 53 60 66 70 73 74 76 76 74 72 70 64 56 46 35 23 17 14 14 18 24 35 45 55 65 73 72 69 63 52 38 21 10 3 1 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 5 6 7 8 9 10 11 13 14 16 15 15 15 15 15 15 16 17 18 19 20 20 21 22 24 26 25 24 23 23 22 21 20 15 13 12 14 14 14 12 11 10 9 9 10 12 13 13 12 8 6 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 2 2 2 3 4 4 5 6 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 4 3 2 2 2 2 2 1 1 2 2 2
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152 142 133 123 116 107 95 77 65 61 62 78 102 134 166 190 211 230 242 244 245 241 238 235 232 228 224 222 222 222 225 231 234 228 222 211 203 197 197 199 200 193 180 157 128 99 72 53 47 46 56 72 85 89 96 109 129 148 157 163 168 167 164 158 156 151 148 145 142 140 138 137 135 133 133 128 122 125 132 135 134 136 137 136 136 135 136 132 121 108 98 89 75 57 44 36 37 37 40 43 42 39 37 35 37 45 50 54 59 65 81 96 102 100 92 88 83 79 73 65 60 56 53 53 56 59 58 56 52 45 37 22 10 4 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 7 9 12 17 24 33 44 47 48 42 35 26 18 13 9 7 7 8 10 11 13 14 15 15 16 17 17 17 17 16 15 15 14 15 15 16 17 19 21 23 25 28 29 32 36 39 42 40 37 31 26 23 21 20 18 17 14 12 9 7 4 3 2 3 4 5 7 8 8 8 7 5 3 2 2 1 1 1 1 2 2 2 3 4 4 4 4 4 5 5 6 6 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 9 11 12 14 16 19 24 26 27 25 21 14 12 11 10 11 12 13 14 16 19 24 32 40 48 56 62 64 63 59 54 49 46 44 42 39 37 34 30 29 29 32 36 39 41 44 46 48 49 52 54 54 52 48 46 43 41 39 36 34 32 31 31 31 33 34 36 38 40 41 43 44 43 42 35 29 24 21 19 15 12 9 8 7 9 12 16 19 21 23 27 32 39 46 58 64 66 65 65 66 65 62 59 54 49 42 34 27 21 18 22 28 40 52 65 77 86 86 83 78 68 57 42 29 15 7 1 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 4 5 6 8 9 10 12 14 16 16 16 16 16 15 15 15 16 18 19 21 22 23 24 25 26 27 28 28 27 25 23 21 17 13 10 9 9 8 7 6 5 3 3 3 3 3 3 5 5 5 4 3 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 1 1 1 1 1 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 1 2 3 3 4 4 5 6 7 9 8 8 7 6 6 6 6 7 6 5 5 5 5 5 4 4 4 5 5 5 5 4 3
160 152 145 138 131 124 117 112 105 99 98 110 130 155 180 207 236 263 276 291 297 299 299 294 290 286 282 283 280 274 274 273 273 269 262 250 238 229 226 227 225 221 205 182 150 114 83 63 52 49 55 61 70 82 94 107 123 138 152 164 170 174 175 169 160 154 151 148 146 144 137 138 141 140 135 131 129 131 133 138 144 150 153 157 160 164 165 156 140 124 113 104 94 79 62 49 42 36 36 39 41 43 42 41 41 42 42 46 50 54 59 61 63 65 68 71 71 69 66 59 50 41 41 42 49 56 65 73 63 56 47 31 14 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 6 8 10 15 24 32 43 50 53 47 40 31 23 17 13 10 9 9 10 12 13 14 15 16 17 17 17 17 16 16 15 15 14 14 14 16 18 20 22 24 26 28 30 32 37 39 41 39 37 32 26 23 21 20 19 18 16 14 11 8 6 4 3 3 4 5 6 7 7 7 6 6 4 3 2 2 2 1 1 2 2 2 3 4 4 5 5 5 6 6 7 6 5 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 6 6 7 7 6 6 6 7 8 11 14 18 21 23 25 24 21 15 10 9 9 10 11 12 13 16 20 24 30 38 46 54 59 64 64 62 58 54 49 46 44 40 36 32 30 28 27 27 29 33 37 40 44 47 49 50 51 52 52 50 47 44 41 39 36 34 31 29 29 30 31 32 34 35 36 38 40 41 41 39 36 29 23 19 17 15 14 12 9 7 6 7 9 11 14 18 21 26 32 41 50 58 62 63 63 63 62 59 55 51 47 42 37 30 26 23 24 30 38 53 65 77 85 91 91 85 77 65 52 38 24 12 6 2 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 6 8 9 10 12 13 15 16 16 16 15 15 15 16 16 17 19 21 23 24 26 27 28 29 29 29 28 26 24 22 19 14 9 8 7 7 6 5 4 3 2 1 1 1 1 1 2 3 4 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 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 7 8 9 9 9 9 9 10 9 7 7 6 7 7 7 7 6 6 6 6 7 7 7 6
165 161 157 152 147 144 141 143 142 139 138 141 150 167 189 219 245 267 289 309 324 337 337 337 337 333 333 330 323 317 313 313 306 301 290 276 265 256 251 251 250 244 230 206 174 133 92 77 66 62 65 69 72 77 92 107 121 135 151 164 173 183 188 184 172 163 159 156 154 146 142 144 144 140 136 135 136 137 136 136 132 139 151 162 168 177 184 175 162 148 136 129 121 109 92 77 63 51 49 47 41 47 52 53 52 49 46 46 47 46 45 45 45 47 49 53 57 58 56 55 51 45 38 37 41 53 62 67 65 55 44 31 16 8 3 2 1 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 6 8 11 15 24 34 44 51 57 52 43 34 25 20 15 12 10 11 11 12 13 14 16 17 17 18 18 17 16 16 15 15 15 15 15 17 19 22 24 26 28 29 32 35 39 42 43 41 36 32 26 23 22 21 20 19 17 15 12 10 7 5 4 3 3 4 5 5 6 6 6 5 4 3 3 2 2 2 2 2 2 2 3 4 4 5 5 6 6 7 7 7 5 3 2 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 6 7 7 8 13 18 21 24 25 22 18 13 10 8 9 10 11 13 14 18 23 28 35 42 49 56 59 61 61 60 58 53 50 47 45 43 37 33 29 27 25 25 27 31 35 40 44 47 49 50 50 49 48 46 44 40 37 34 33 31 28 28 29 30 30 31 32 33 34 36 37 37 36 32 27 22 16 12 12 12 12 11 10 7 6 6 8 10 12 16 21 28 35 43 50 55 57 59 59 59 58 54 51 46 42 38 33 29 26 26 29 39 51 64 76 87 90 91 90 84 76 62 47 33 20 9 4 1 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 5 7 9 11 12 14 15 15 16 16 16 15 15 16 17 17 19 20 23 25 27 28 29 30 29 29 27 26 24 22 19 15 10 7 6 5 4 3 2 1 1 1 0 0 0 0 0 1 1 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 1 1 1 1 1 1 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 1 2 2 2 2 3 3 5 7 10 11 12 11 12 12 8 5 4 4 5 6 8 8 8 8 8 8 8 8 8 6
166 166 164 162 160 158 158 162 166 168 169 174 178 184 201 220 238 261 275 296 312 324 335 345 347 352 351 347 341 335 333 330 327 320 310 306 297 290 282 283 281 272 254 230 201 168 139 113 88 80 76 77 82 93 102 112 124 138 155 170 178 182 193 199 195 185 181 177 173 168 164 160 156 149 140 142 153 162 159 150 143 139 136 143 153 164 173 178 178 166 158 151 149 145 139 124 108 94 91 94 82 70 64 65 62 57 55 53 48 46 43 41 40 39 40 44 46 44 48 53 59 57 53 52 55 59 63 69 68 62 50 37 25 16 10 7 6 4 2 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 8 12 17 25 35 47 55 59 56 48 38 28 22 17 14 12 12 12 14 16 18 19 19 20 21 20 19 18 17 16 16 16 17 17 19 20 23 26 28 30 31 34 38 41 45 45 45 39 33 28 24 23 21 20 19 18 16 14 11 8 5 4 2 3 3 4 4 4 5 5 4 3 3 3 2 2 2 2 2 2 2 3 3 4 4 5 6 7 7 7 7 6 4 3 2 3 3 4 4 4 5 6 6 6 5 5 5 5 5 5 5 6 6 7 7 6 6 5 5 6 8 10 13 15 19 22 24 24 22 17 12 10 10 10 11 12 15 18 21 27 33 40 46 54 58 60 59 58 57 55 52 50 48 46 43 36 32 28 26 24 24 27 31 34 38 42 45 47 48 48 46 44 42 40 37 34 32 32 31 31 31 32 31 31 31 31 32 32 33 33 31 28 24 18 13 9 7 8 9 11 10 9 7 6 7 8 10 11 15 20 30 39 47 51 52 53 54 54 54 54 51 48 43 39 35 32 30 29 31 36 49 61 74 83 90 91 90 87 81 72 58 43 28 17 7 2 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 6 8 9 12 13 14 15 16 15 15 16 15 16 17 18 19 21 23 25 26 27 29 29 30 29 28 26 24 22 20 17 11 7 5 3 2 1 1 1 0 0 0 0 0 0 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 3 3 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 1 2 2 2 3 4 6 9 11 12 10 6 4 3 2 1 1 3 4 6 7 8 7 7 7 7 7 6 5
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158 162 165 168 170 173 173 173 175 178 184 192 202 213 219 224 236 254 270 284 296 309 319 323 327 335 336 335 334 330 328 326 331 336 352 369 376 377 369 360 344 322 307 286 272 248 221 185 146 114 94 83 83 89 89 93 105 121 136 148 167 178 187 191 198 204 207 209 209 211 213 215 214 213 200 184 172 187 197 196 189 179 168 153 135 131 133 135 149 160 166 174 189 201 208 220 226 219 201 178 157 144 130 122 125 118 99 83 71 59 47 43 43 45 52 55 52 53 57 59 61 66 72 77 79 81 78 73 65 58 53 47 38 30 24 19 15 13 11 8 6 5 5 5 5 5 5 5 6 8 8 8 7 6 6 5 5 6 7 7 7 5 5 5 6 7 11 15 25 35 48 60 65 66 58 49 38 29 23 20 18 17 17 19 21 22 24 25 25 25 24 23 21 19 18 18 18 19 20 22 25 27 29 31 33 34 35 38 41 47 49 48 45 39 34 29 26 23 21 20 18 17 14 12 9 7 5 4 3 2 2 3 3 3 3 3 4 4 4 3 2 2 2 2 2 3 3 4 4 4 4 5 6 8 9 9 9 5 3 2 1 2 2 2 2 2 3 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 5 5 7 12 16 21 26 25 20 16 12 11 11 13 14 15 17 19 25 31 37 43 49 55 60 62 62 60 57 53 49 47 44 44 43 40 37 34 30 26 25 25 27 31 36 39 41 41 42 43 43 42 40 38 36 37 37 37 37 34 34 34 33 32 32 32 31 30 30 29 25 20 15 10 5 3 3 4 6 8 8 8 8 8 10 11 13 16 19 22 26 33 37 41 45 46 46 46 46 45 44 43 39 36 34 32 31 31 32 39 49 62 75 87 87 87 87 85 82 73 62 48 35 21 10 4 1 1 0 0 0 0 0 0 0 1 2 2 3 4 5 6 8 9 11 12 13 13 14 14 14 14 15 16 17 18 19 21 23 25 27 30 30 30 29 28 27 27 27 24 22 21 14 7 4 2 1 1 1 1 2 2 2 2 3 3 3 3 3 3 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 3 2 2 2 2 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 2 1 0 0 1 1 2 2 2 2 2 3 5 9 10 10 9 8 7 8 9 8 7 8 8 8 8 8 7 6 6 6 6 4
153 155 158 162 165 167 169 171 174 176 180 186 194 204 212 213 216 226 237 242 267 294 300 313 333 342 355 357 354 352 348 346 351 361 373 380 387 376 365 342 319 297 279 269 260 247 234 204 169 137 117 100 95 89 77 78 84 96 111 141 166 187 203 214 224 222 221 223 225 226 228 232 237 239 235 230 226 225 221 220 214 205 195 182 163 147 144 147 148 145 155 170 182 199 216 228 239 252 265 235 197 165 152 141 132 131 126 115 100 86 72 64 60 64 71 78 79 75 70 65 64 64 65 68 72 73 71 67 64 58 50 41 34 28 22 17 15 14 14 12 9 8 7 6 6 7 7 7 10 12 14 14 10 7 6 6 7 8 8 8 6 5 6 6 8 11 16 24 34 46 57 65 70 64 55 45 35 27 22 19 19 20 21 23 24 25 26 27 27 26 24 23 22 21 20 20 21 23 25 28 30 31 33 34 35 36 37 39 44 49 49 47 43 38 33 29 26 23 21 19 17 15 12 10 7 5 4 3 2 2 3 3 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 5 5 6 7 8 9 8 7 4 2 1 2 2 2 2 3 4 4 5 6 6 6 6 7 7 7 7 6 6 7 8 8 8 8 6 6 5 5 6 9 14 19 23 26 23 19 15 13 12 13 13 14 16 18 22 27 36 43 49 55 60 61 62 61 59 57 53 48 46 44 44 42 37 35 32 29 27 25 25 27 31 36 40 41 41 41 40 40 40 39 38 37 37 37 38 37 35 36 36 34 33 31 30 29 28 26 23 19 14 9 6 3 3 2 3 4 6 7 7 9 10 12 14 16 20 23 26 28 31 34 37 40 41 42 42 43 42 41 38 35 32 30 29 29 30 33 40 53 68 78 86 87 87 87 84 79 70 58 45 31 18 9 3 1 0 0 0 0 0 0 1 1 2 2 3 3 4 6 7 9 10 11 12 12 12 12 12 13 14 16 17 19 20 21 22 24 25 27 29 29 28 26 25 23 23 23 21 17 13 7 2 1 1 2 2 3 4 4 5 4 4 4 4 4 4 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 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 3 3 2 3 3 4 5 5 6 6 6 5 4 2 1 1 2 2 3 2 2 3 5 7 10 11 10 10 11 11 10 10 9 7 8 9 9 9 8 7 6 7 6 4 3
147 150 155 158 160 162 165 168 172 174 176 179 185 190 195 199 203 205 206 209 210 221 247 259 291 327 350 366 385 378 377 376 378 380 384 382 374 360 334 308 272 239 228 218 215 214 209 196 185 165 145 134 125 107 90 87 93 116 146 171 193 209 217 231 229 220 226 230 241 248 253 255 255 257 260 260 257 253 251 250 247 241 233 227 214 197 182 181 175 173 181 189 200 218 237 247 249 243 245 247 229 207 190 174 160 150 142 138 133 126 115 103 98 99 102 104 103 97 86 77 70 64 62 62 65 67 63 59 58 56 52 44 33 26 23 19 14 11 11 11 9 8 8 8 8 9 11 13 15 20 24 20 14 8 6 7 8 7 7 7 7 6 7 9 12 15 23 32 45 57 64 70 68 63 53 43 34 27 22 21 21 23 24 25 27 27 28 28 27 26 25 23 22 21 22 22 24 26 29 31 34 35 36 36 36 37 38 43 48 51 52 48 43 38 33 29 25 23 20 18 15 13 10 8 6 5 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 8 8 8 8 6 4 2 2 1 2 2 3 4 5 5 6 6 6 6 6 7 7 7 7 6 7 8 9 9 9 8 6 5 5 5 5 7 12 18 22 24 23 19 14 13 13 14 15 15 17 19 24 31 39 47 54 58 61 62 61 59 57 53 49 46 46 45 45 40 35 33 31 29 27 26 26 27 31 35 40 41 41 39 38 37 37 36 35 35 35 37 39 38 37 36 35 33 31 29 27 25 23 20 17 13 8 4 2 2 2 2 2 3 5 7 9 10 12 14 16 19 22 25 27 29 31 33 35 37 39 39 40 39 39 37 34 30 28 26 26 27 29 34 43 57 73 81 87 89 88 87 82 75 65 53 40 26 14 8 4 1 0 0 0 0 1 1 1 2 2 2 3 4 5 6 8 9 10 11 11 11 11 11 12 13 14 16 17 19 21 22 24 25 26 26 27 27 26 24 22 21 20 19 15 11 7 4 2 2 3 5 5 6 6 6 6 6 5 5 4 4 4 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 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 2 2 3 2 1 1 1 2 2 3 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 7 8 7 6 5 4 3 3 4 5 5 6 6 7 9 10 10 11 11 11 10 10 9 8 7 6 7 7 7 6 6 5 4 4 3 3
149 152 154 158 158 159 163 169 174 173 171 175 178 182 184 185 194 196 196 198 204 213 221 234 251 271 306 337 359 372 383 384 390 394 386 378 362 341 313 277 240 215 190 182 179 178 178 180 181 177 172 161 147 130 107 100 113 144 177 198 206 220 217 207 206 219 234 256 271 285 295 295 296 296 288 281 279 279 281 279 277 270 266 266 261 258 250 238 221 211 209 212 217 235 255 265 260 261 253 246 242 235 224 212 193 176 164 160 157 156 148 143 141 137 130 125 119 110 98 86 76 69 64 59 55 56 57 54 50 48 44 36 28 22 18 16 15 13 11 9 8 9 10 10 12 13 13 13 18 23 28 27 18 9 7 6 6 6 8 9 9 10 10 11 13 20 27 40 53 61 68 67 65 57 49 41 34 29 25 24 25 26 27 28 28 29 29 29 27 26 25 24 23 23 24 26 28 30 33 35 37 36 36 36 37 38 42 49 52 55 52 48 43 38 33 29 26 23 20 17 15 12 10 7 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 6 7 8 9 9 9 9 9 9 8 6 3 2 2 2 3 4 4 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 7 6 5 5 4 4 5 9 15 22 22 21 17 15 14 15 16 17 18 19 22 27 35 43 51 57 61 63 64 61 59 57 54 50 47 44 44 43 40 37 34 32 30 27 26 26 28 32 35 38 40 39 37 36 35 34 34 32 33 34 36 37 35 34 33 31 29 27 25 22 20 17 15 11 8 5 2 1 1 1 2 3 4 5 7 10 13 16 19 20 21 24 27 30 32 34 35 36 37 37 37 38 36 35 32 29 26 24 23 25 26 28 35 47 61 74 83 89 90 87 84 78 71 61 49 37 25 15 8 4 2 1 1 1 1 1 1 2 2 3 3 4 5 6 7 9 9 10 11 10 10 11 11 12 13 14 16 18 20 22 24 25 26 26 25 24 24 22 20 18 17 15 13 10 8 5 5 5 5 6 7 7 7 6 6 6 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 1 2 2 2 2 2 3 4 3 3 2 2 2 3 3 3 4 5 5 6 6 7 8 8 7 7 7 7 7 6 7 7 8 9 9 9 9 8 8 9 9 9 8 8 9 8 6 6 6 5 4 4 3 2 2 2 2
147 148 150 150 152 154 158 163 167 173 178 179 181 185 193 201 204 204 202 201 207 215 223 229 235 251 270 290 312 332 344 359 375 381 382 368 351 327 298 267 236 210 190 179 174 173 175 177 182 186 182 172 150 118 95 80 89 108 130 148 162 183 198 211 213 233 267 291 306 315 319 332 339 348 349 332 314 312 293 278 275 274 275 275 282 290 287 283 280 258 239 228 228 228 234 235 234 241 247 253 253 245 237 223 209 196 182 169 162 160 160 163 164 153 142 134 126 116 104 92 81 72 66 61 55 52 49 45 40 33 26 23 19 17 14 13 13 12 11 10 10 11 14 15 15 16 17 15 17 26 36 39 30 14 8 8 10 11 15 19 19 18 17 15 17 22 33 44 56 66 65 64 58 51 45 39 34 30 28 27 27 28 29 29 30 30 30 29 28 26 25 25 25 26 27 30 32 34 36 37 37 36 36 37 40 43 49 53 56 55 53 49 45 39 34 29 26 23 20 17 14 11 9 7 6 5 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 6 7 7 7 7 8 8 10 10 10 10 10 9 8 6 5 3 2 2 3 3 5 6 7 8 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 9 8 7 6 5 5 4 6 8 15 19 20 18 15 14 14 15 17 18 19 21 24 29 38 47 55 61 64 64 63 61 58 56 52 48 46 44 43 41 39 36 34 33 30 27 26 26 29 32 34 35 36 36 35 34 34 33 33 32 34 35 34 32 30 30 28 26 24 21 19 16 14 11 9 6 3 2 1 1 1 2 3 4 5 6 7 12 17 20 22 23 25 28 32 36 38 39 40 39 38 37 36 36 34 31 28 25 22 22 22 24 27 30 39 50 64 76 84 87 88 84 80 73 64 54 43 33 23 15 9 5 3 2 2 2 2 2 2 2 3 3 4 5 5 6 7 8 9 10 10 10 10 11 12 13 14 15 17 19 21 24 26 26 26 24 23 21 19 18 16 14 12 10 7 6 6 5 6 6 7 8 8 8 7 6 5 5 5 4 4 3 3 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 1 1 1 1 2 2 2 2 2 2 2 2 3 2 2 3 4 4 4 4 4 3 3 3 3 3 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 9 9 9 9 8 8 7 6 6 5 4 3 3 2 1 1 1 1
164 161 161 157 149 154 158 162 172 183 188 193 197 201 208 212 217 215 212 209 210 214 223 230 237 244 255 269 276 286 301 313 330 341 340 333 322 302 277 251 226 204 192 183 179 180 182 186 189 186 182 162 135 105 77 69 71 74 89 104 133 163 184 201 224 251 279 306 321 317 311 314 327 337 338 330 323 297 274 272 270 275 277 283 289 289 291 293 289 283 276 265 254 242 232 221 211 216 227 240 240 238 235 223 209 194 179 162 155 154 153 155 152 143 136 129 125 121 110 98 86 76 68 62 57 51 46 42 36 28 23 20 18 16 15 15 14 13 12 11 11 12 15 17 18 18 18 17 20 25 38 49 43 29 16 11 12 19 31 37 36 32 28 23 18 26 38 51 64 66 64 56 50 45 39 31 28 29 29 29 29 30 30 31 31 30 30 30 29 28 27 26 28 30 31 34 35 37 38 38 37 37 38 41 44 50 55 60 61 58 55 51 45 39 34 29 26 23 20 16 14 11 9 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 5 6 7 7 8 8 8 9 9 9 10 10 11 12 11 11 10 8 6 4 3 4 4 4 5 7 8 9 8 7 7 7 7 8 8 8 9 10 10 10 10 10 9 8 7 6 5 5 4 4 6 8 11 15 17 16 14 13 14 15 17 19 21 23 26 33 41 49 57 61 65 66 64 61 56 52 48 45 44 44 43 40 37 36 34 32 29 26 26 26 28 29 31 31 32 32 33 34 34 34 35 36 37 35 32 29 27 26 25 23 20 16 14 12 9 7 5 3 1 1 1 1 1 1 3 4 5 8 10 16 21 25 26 27 29 32 37 40 43 43 43 42 40 38 36 33 30 27 23 21 20 21 23 25 30 36 45 56 69 79 84 84 83 79 73 65 57 48 38 29 21 15 10 7 4 3 2 3 3 3 3 3 3 4 5 5 6 7 7 8 8 9 9 9 10 11 12 13 15 16 18 20 22 25 28 27 26 23 21 18 16 14 12 11 9 7 6 6 6 7 7 7 8 7 7 6 5 4 3 3 3 3 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 1 1 1 2 2 2 1 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 7 9 10 10 10 10 10 11 10 10 10 9 9 8 7 6 5 5 4 3 3 2 2 1 1 0 0
167 179 179 178 179 179 182 184 185 189 195 198 202 207 212 215 217 221 225 222 218 218 226 235 241 247 255 263 266 274 282 291 299 303 301 295 287 272 255 233 215 203 194 190 187 189 192 191 189 183 172 156 131 104 97 91 98 106 125 154 174 185 194 211 230 257 283 293 303 302 297 292 289 285 286 283 274 261 258 259 267 279 284 293 285 277 278 282 283 282 287 287 283 274 256 238 224 215 205 207 214 213 211 211 206 197 181 168 156 148 139 134 132 131 125 121 117 115 111 104 93 83 72 62 56 51 44 40 37 34 28 24 20 18 17 15 14 14 14 14 15 18 20 20 20 21 22 24 26 30 38 47 51 38 24 15 11 19 36 56 57 45 37 29 28 34 44 58 66 71 66 57 45 33 21 15 21 25 28 29 31 32 32 31 31 31 31 30 29 28 28 30 31 33 35 37 39 40 40 40 39 39 41 44 51 58 65 69 66 63 58 52 46 40 35 31 26 23 20 17 14 12 10 7 6 4 4 3 3 3 3 3 3 3 4 4 5 6 7 7 8 9 9 10 10 11 11 11 11 11 13 13 13 11 10 8 5 4 4 4 5 6 7 8 8 9 8 7 7 7 7 7 7 8 9 10 10 11 11 11 9 8 7 6 5 5 4 4 5 8 10 13 14 13 13 13 14 15 17 19 21 24 28 35 43 53 58 63 66 68 66 62 55 49 44 43 43 41 39 37 36 35 32 29 27 26 26 26 27 28 29 28 28 28 31 33 35 36 37 37 36 32 29 26 24 23 22 20 16 13 10 8 6 5 3 2 1 0 0 0 1 1 2 4 5 9 14 19 24 29 29 30 31 34 38 41 44 44 44 43 41 39 35 31 27 23 20 19 19 22 25 28 35 43 53 63 73 79 83 81 78 72 66 58 50 42 33 25 19 15 12 8 5 3 3 3 3 3 3 3 4 5 6 6 7 7 7 8 8 8 9 10 10 12 13 15 17 18 20 21 23 24 25 24 23 21 18 16 14 12 11 9 8 7 6 7 7 8 8 8 7 5 4 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 1 1 1 2 3 4 3 3 3 3 3 3 3 3 4 4 5 6 7 7 8 8 8 7 6 5 5 5 5 4 4 5 5 6 6 9 10 11 11 11 12 12 11 10 9 8 7 6 5 5 4 4 3 3 2 2 2 2 2 1 1
150 164 180 196 202 217 223 224 224 215 208 211 212 211 210 212 218 224 229 234 238 237 239 243 250 256 261 265 267 272 275 280 283 284 280 273 266 256 243 229 218 205 198 198 195 197 196 194 188 181 173 160 146 138 135 140 147 158 181 189 200 202 203 210 228 251 269 279 281 280 275 268 254 244 240 234 230 223 220 232 244 254 261 259 254 255 258 268 274 288 298 310 316 306 286 254 229 221 216 208 201 194 194 197 200 196 190 181 166 151 137 128 121 116 115 112 110 107 106 104 95 88 86 79 67 56 48 43 38 36 31 27 23 19 17 16 16 17 19 20 22 25 23 22 22 22 25 29 34 38 42 48 52 49 38 27 21 21 27 36 48 49 43 38 37 39 39 45 56 58 51 45 38 30 18 19 21 25 29 30 30 29 30 31 32 32 31 29 29 30 31 33 35 37 38 38 39 38 37 39 42 43 44 49 56 63 71 71 69 64 59 54 48 42 37 33 29 25 22 18 15 12 9 7 5 4 3 3 3 3 3 3 4 4 4 5 6 7 8 9 8 8 10 11 11 11 12 13 14 14 14 13 12 11 9 7 5 4 4 4 5 6 8 8 7 7 6 6 6 6 7 8 8 9 10 11 11 11 11 10 9 8 6 5 5 4 4 4 5 6 9 11 12 13 13 13 14 15 17 19 21 25 31 38 48 57 61 64 65 67 68 61 54 49 45 42 40 38 36 35 35 34 30 28 26 26 26 27 27 27 27 27 28 29 32 34 37 39 40 38 35 31 27 23 22 21 19 16 12 10 8 6 5 4 2 1 1 0 0 0 1 1 1 3 6 11 16 22 26 30 31 32 33 35 37 40 42 43 42 41 40 38 34 30 26 23 20 19 19 23 28 34 43 51 61 68 74 76 78 75 71 64 57 48 40 33 25 20 16 14 11 7 5 3 3 3 3 3 4 4 5 5 6 7 8 8 8 8 8 8 9 10 12 13 15 17 20 22 23 24 24 23 21 20 19 18 17 15 13 11 10 8 7 7 7 7 7 7 7 6 4 2 1 1 1 3 4 3 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 4 3 3 3 3 3 3 3 4 5 7 8 8 8 8 7 6 5 4 4 4 4 3 4 4 5 6 7 8 10 11 12 13 13 11 10 9 7 6 6 5 5 4 4 3 3 2 2 1 1 1 2 2 2
115 134 155 176 198 213 234 255 245 242 243 240 236 227 217 222 228 230 237 243 248 249 250 252 255 261 263 264 264 262 262 265 270 272 269 263 256 244 232 220 204 189 183 181 183 181 184 185 183 184 182 181 177 181 185 178 175 175 173 176 168 165 173 179 201 231 254 264 263 257 250 240 231 223 213 210 207 208 210 217 222 230 233 230 229 233 243 256 272 289 309 330 338 333 312 283 253 230 218 212 199 185 185 187 187 191 191 184 172 159 144 132 122 116 112 108 106 106 105 102 97 91 84 81 75 65 54 45 37 33 29 27 25 21 19 18 18 20 22 25 27 28 27 27 26 27 29 33 38 43 47 48 51 54 52 47 40 39 43 53 57 53 48 45 47 53 49 40 32 26 23 22 23 21 17 17 20 22 25 28 30 29 28 30 32 32 31 31 32 33 35 37 40 42 43 41 38 35 33 37 41 44 48 53 59 66 71 73 70 66 61 56 50 44 39 34 31 27 23 19 16 12 9 6 4 3 3 3 3 3 3 4 5 5 6 6 7 8 9 9 9 10 11 12 12 14 14 15 16 16 15 14 11 9 7 6 5 4 4 5 7 8 8 7 6 6 5 5 5 6 8 9 11 11 12 12 11 11 10 10 9 8 7 6 5 5 5 5 6 6 7 9 11 12 12 13 15 16 18 21 23 25 32 41 51 59 64 66 67 65 63 57 51 48 45 42 39 37 36 35 34 32 30 28 27 26 26 26 27 26 28 29 31 32 34 36 39 40 40 37 33 29 26 22 21 19 16 13 9 7 6 5 4 2 2 1 0 0 0 0 0 1 2 4 7 11 17 23 27 29 31 32 33 34 35 36 36 37 37 37 36 34 31 28 24 22 21 22 24 27 34 42 50 58 66 70 72 72 71 67 61 54 47 39 32 25 19 16 14 11 8 5 4 3 3 3 4 4 4 4 5 6 7 8 8 8 8 9 8 9 9 11 13 15 18 20 23 25 27 27 25 23 20 19 17 17 16 15 13 10 9 8 7 7 8 7 6 6 5 4 3 1 1 1 2 3 4 3 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 4 4 4 3 3 3 4 4 4 4 5 7 7 7 7 6 5 5 4 4 4 4 4 4 4 5 5 5 6 7 8 9 11 12 12 12 10 8 6 5 4 4 4 4 4 4 3 2 2 1 1 1 0 0 1 1
101 106 119 143 166 182 199 216 228 234 243 256 257 255 257 251 249 249 248 246 243 238 240 245 249 253 260 262 259 256 252 246 249 258 268 262 250 238 223 206 196 189 185 188 183 189 188 187 195 199 206 211 223 232 196 179 159 149 138 122 121 133 143 156 177 203 234 238 236 227 216 208 203 202 203 200 203 206 214 220 229 234 235 232 234 235 242 257 270 288 310 329 340 339 331 308 281 256 237 227 219 209 204 197 194 190 189 184 175 164 150 138 129 120 113 109 110 112 115 113 105 97 89 82 74 64 55 46 38 33 28 22 21 19 19 19 20 22 23 25 29 32 32 32 31 31 34 38 42 47 49 51 53 55 55 53 54 56 63 67 66 62 57 55 57 56 50 37 22 12 6 5 5 6 6 7 7 10 14 20 27 30 30 29 29 32 33 33 34 37 35 35 32 33 39 45 45 41 41 42 45 48 52 56 62 68 73 74 73 69 64 58 52 46 41 36 31 27 23 20 16 12 8 6 4 3 4 4 4 4 5 5 5 6 7 7 8 9 9 10 10 11 12 13 14 15 16 17 17 17 14 12 9 8 7 5 4 4 4 6 7 7 7 6 5 4 4 5 6 7 9 11 12 13 13 12 12 12 11 10 9 7 6 6 6 6 6 6 6 7 8 10 12 12 13 14 15 17 19 22 24 28 32 42 52 61 67 69 69 66 62 56 50 45 42 39 37 35 34 35 35 32 30 27 25 25 25 26 27 28 29 31 32 34 36 39 42 42 41 39 34 30 26 22 20 17 15 11 8 6 4 3 2 1 1 1 0 0 0 1 1 2 4 5 8 11 16 21 25 28 29 30 31 32 33 32 33 34 33 33 31 29 27 25 23 22 23 25 30 36 43 50 56 62 66 67 68 66 63 58 52 44 37 31 25 21 16 14 12 9 6 4 3 2 3 3 4 4 4 5 5 6 7 8 8 9 9 10 10 10 11 13 14 17 19 22 24 26 27 26 24 21 18 17 16 15 14 12 11 10 9 8 7 7 7 6 6 5 4 3 2 2 2 3 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 1 1 1 2 2 2 1 0 0 0 0 0 1 1 2 2 2 3 3 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 4 5 5 6 6 6 6 6 6 6 6 6 7 8 10 11 11 10 8 6 5 4 3 3 3 3 3 3 3 2 2 1 0 0 0 0 1 1
95 99 107 114 133 153 172 188 197 208 219 230 241 252 259 266 271 270 270 262 245 232 231 235 238 238 238 246 250 248 245 241 237 234 243 247 241 234 221 214 209 215 222 226 231 233 242 250 227 222 214 213 195 157 131 109 91 86 74 83 95 113 131 145 155 164 183 200 206 197 189 181 178 177 184 193 202 213 225 241 253 259 266 265 265 271 277 281 289 304 321 334 342 342 333 318 299 276 258 245 239 232 222 211 197 184 176 172 167 158 150 142 134 126 123 126 128 130 129 125 117 106 97 86 74 63 55 49 43 36 31 26 22 19 18 19 20 22 23 24 26 30 33 34 34 36 39 44 48 50 53 55 58 59 60 62 65 70 75 77 73 65 60 59 59 59 47 30 17 5 2 1 0 2 2 2 1 2 4 8 16 25 31 33 31 32 35 38 38 36 30 24 20 23 29 37 45 46 47 47 48 52 56 62 67 73 77 78 76 72 67 61 55 49 44 38 34 29 25 20 16 12 8 6 4 4 4 5 5 6 6 6 7 7 7 8 9 9 10 11 11 12 14 15 16 16 17 17 17 14 12 10 9 9 8 5 4 4 5 7 6 6 6 6 5 5 4 5 6 8 10 10 11 12 13 13 13 14 13 12 11 9 6 6 6 6 6 5 5 7 9 11 12 12 14 15 16 18 20 22 25 29 34 43 53 62 67 71 70 69 62 56 50 45 42 39 36 35 34 35 34 32 29 26 25 25 24 25 26 27 27 30 33 34 37 40 42 43 40 37 33 28 23 21 19 16 13 9 7 5 4 3 2 1 0 0 0 0 0 1 1 3 4 6 7 9 13 18 23 26 29 30 31 32 32 32 33 34 33 32 30 27 25 24 23 24 26 30 37 45 51 56 60 63 64 64 63 60 56 50 43 36 30 25 20 16 13 11 8 5 4 3 3 2 3 3 4 4 5 5 6 7 7 8 9 10 10 10 10 11 12 14 16 18 21 24 25 25 25 23 21 19 17 16 15 14 12 11 9 9 8 8 7 7 6 6 5 4 3 2 1 1 1 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 1 1 1 2 2 1 1 0 0 0 0 0 1 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 2 3 3 4 5 6 7 7 7 7 7 7 7 7 8 9 10 10 10 8 6 4 4 3 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1
99 105 107 112 122 134 153 165 174 186 199 210 220 231 243 252 262 276 283 271 254 241 233 232 237 238 235 233 235 237 237 238 237 249 256 259 259 254 245 241 243 249 251 256 256 260 258 242 225 201 181 139 97 68 42 40 44 45 61 70 94 114 122 134 142 146 154 161 167 172 171 170 166 179 193 208 222 236 251 262 271 280 285 289 296 304 311 321 326 333 343 354 355 350 340 326 310 290 271 261 253 245 238 218 197 182 171 166 155 155 155 154 150 149 148 152 157 159 158 152 139 126 113 98 81 68 58 49 42 37 32 27 22 19 17 16 17 18 19 20 23 27 31 34 37 39 44 47 51 55 59 62 64 66 69 71 75 78 80 79 72 64 61 59 57 51 39 25 13 7 3 1 0 0 0 0 0 0 0 3 8 20 29 28 25 27 34 44 46 41 35 30 29 29 33 41 47 51 51 52 53 54 60 65 71 77 80 81 79 75 71 65 59 53 47 41 36 31 26 21 16 11 8 6 5 4 4 5 6 6 7 8 8 9 9 9 10 11 12 13 14 15 16 17 18 18 18 17 15 13 11 9 9 9 7 6 6 6 6 6 6 6 7 6 6 5 4 5 6 8 8 9 11 13 14 14 15 14 13 13 13 10 8 6 6 6 6 5 5 6 8 9 11 13 16 17 18 18 20 22 26 30 35 43 53 63 67 70 70 67 61 55 49 45 41 39 37 35 34 34 32 31 29 28 26 25 25 24 24 26 28 31 34 36 38 39 40 39 36 32 27 24 22 20 17 14 11 7 5 4 3 2 1 1 0 0 0 0 0 0 1 2 2 3 4 7 10 14 19 23 27 30 32 34 35 36 37 37 36 34 32 30 28 26 26 28 32 37 46 53 56 59 60 61 61 60 58 54 49 43 37 30 25 19 15 11 8 5 3 2 2 2 2 2 3 3 4 4 5 6 6 7 8 9 9 9 10 11 12 13 14 16 18 20 22 24 24 23 22 21 20 18 16 15 13 12 11 9 9 8 8 7 7 6 6 5 5 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 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 6 6 7 7 7 8 9 10 9 9 7 6 4 3 3 2 2 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1
98 102 110 111 115 123 131 139 152 167 181 196 210 218 223 230 236 244 257 264 256 248 249 246 243 242 239 237 237 241 244 252 264 275 286 294 294 297 289 284 279 272 265 260 258 253 244 229 209 184 149 110 78 35 42 47 53 68 82 100 117 127 135 134 135 141 146 148 154 160 167 173 189 206 219 236 248 262 273 280 282 287 292 296 303 312 324 337 344 346 351 355 360 354 340 326 310 291 277 264 253 244 232 218 209 201 194 188 187 184 183 183 185 185 187 191 191 190 185 179 168 152 133 114 96 78 63 50 41 34 28 23 19 16 14 14 14 15 16 19 21 26 32 36 40 47 51 54 58 62 65 67 70 72 75 78 80 81 81 77 71 63 58 56 51 43 31 17 10 6 4 2 1 0 0 0 0 0 0 0 8 17 24 28 20 16 21 27 34 37 35 33 32 36 44 52 54 54 54 55 56 61 65 69 75 80 84 84 81 77 73 69 62 55 48 42 36 31 26 22 17 13 9 6 5 5 5 6 7 8 9 9 10 10 10 10 11 12 13 14 16 17 18 18 17 17 16 15 13 11 10 8 8 8 8 8 8 8 8 7 8 8 7 6 5 4 5 5 7 8 10 12 13 14 15 14 14 12 11 13 13 12 11 8 8 7 6 5 4 5 7 9 11 15 19 19 20 20 21 24 27 31 36 44 54 62 68 70 70 66 62 55 49 44 40 37 36 35 34 33 32 30 28 28 27 27 27 25 26 29 31 33 38 40 40 40 39 36 34 30 26 23 21 19 15 11 9 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 12 16 20 24 28 32 36 38 39 40 41 41 39 37 35 33 32 34 37 42 47 53 57 58 57 56 56 56 55 52 47 41 36 30 24 19 14 9 6 3 1 0 1 1 2 2 2 3 4 4 4 5 6 6 8 9 10 10 11 12 13 13 15 16 18 20 21 22 22 22 21 21 19 18 16 15 13 12 11 10 9 8 8 7 7 6 6 6 5 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 1 2 1 1 0 0 0 0 0 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 2 2 2 2 3 3 3 3 4 4 5 6 6 7 8 9 9 9 8 6 5 4 3 3 3 2 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1
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