Vorticity
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nan 5 6 6 7 7 6 6 6 6 7 7 7 8 8 7 7 7 7 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 10 11 12 12 11 11 10 10 10 10 9 8 7 7 6 5 5 5 6 8 13 19 23 23 20 15 10 7 7 8 10 10 9 6 3 2 2 2 3 6 10 12 11 9 7 5 4 4 5 6 8 8 8 7 6 5 5 6 7 7 7 7 8 10 9 7 7 8 9 8 4 1 1 3 4 4 2 2 3 6 8 7 6 5 4 5 6 7 6 5 4 5 7 8 9 9 8 9 10 10 10 9 9 10 11 11 10 9 6 3 1 1 3 5 6 5 4 3 3 3 3 3 2 3 3 3 3 3 4 6 7 8 9 9 9 8 7 nan
nan 5 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 6 5 6 6 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 11 11 10 10 10 9 7 7 8 8 7 7 9 13 18 23 24 21 17 13 9 7 7 8 8 9 9 7 5 3 2 2 2 3 5 8 10 9 8 5 4 3 3 5 7 9 9 8 7 5 5 5 6 7 7 7 8 8 9 8 6 6 7 8 6 3 0 -1 -0 2 3 3 3 3 5 6 5 3 1 1 3 4 5 5 4 5 5 7 8 9 8 9 9 10 10 9 9 9 10 11 11 10 9 6 4 1 1 3 5 6 5 4 3 4 4 3 2 2 3 2 2 1 1 2 3 5 6 7 7 8 7 7 nan
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nan 11 11 12 11 9 8 6 4 3 3 3 4 7 10 12 14 14 14 13 12 12 12 13 13 14 16 17 16 15 14 13 12 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 10 10 9 9 9 9 9 9 9 10 11 13 13 12 11 10 12 12 12 10 8 5 4 4 6 7 8 8 9 9 9 10 10 11 11 12 13 12 11 12 14 17 18 18 18 16 13 11 12 14 16 15 14 13 13 15 17 19 21 22 23 24 22 19 15 13 11 10 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 5 5 6 7 8 8 7 5 4 4 5 5 4 2 0 0 1 1 1 3 5 6 7 8 8 9 10 10 10 10 10 11 13 14 16 17 17 17 16 14 14 13 13 13 13 12 12 11 nan
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nan 19 17 13 10 8 7 6 5 4 3 4 5 6 6 6 6 6 7 8 8 9 10 11 13 14 15 15 15 15 16 17 17 15 13 11 9 9 10 11 12 12 12 12 11 10 10 10 11 12 13 13 12 12 12 12 13 12 11 10 10 10 10 10 9 8 7 6 5 8 11 14 14 12 11 10 9 7 4 3 4 5 7 8 8 8 8 9 9 9 9 8 7 6 6 6 7 9 11 14 15 16 17 17 15 12 8 7 8 10 11 11 12 14 19 23 23 20 16 14 16 20 25 27 27 25 22 19 16 14 13 11 10 10 9 9 9 8 7 7 7 6 7 7 9 11 13 15 15 13 10 7 4 4 3 3 3 4 6 7 8 10 11 12 13 13 14 15 14 12 9 8 7 7 8 10 11 12 13 14 14 14 14 13 13 12 11 11 10 9 nan
nan 20 20 16 12 10 8 7 6 6 6 7 7 7 7 6 6 6 6 7 7 8 9 11 13 14 14 13 12 12 14 16 17 17 15 12 9 9 9 11 12 13 13 12 11 10 10 10 10 11 12 12 11 10 10 11 12 12 12 11 10 10 11 11 11 10 8 6 5 5 8 12 13 13 12 11 9 8 6 4 5 6 7 8 8 8 8 8 8 8 8 7 6 6 6 6 5 4 5 7 10 12 14 14 13 11 9 7 6 6 6 5 5 6 10 13 14 11 7 4 4 8 15 22 25 27 27 25 23 20 18 16 15 13 12 11 10 9 8 7 7 7 7 7 7 8 10 12 13 12 10 7 5 4 4 5 6 9 13 14 14 13 11 12 15 16 18 19 18 14 10 8 7 7 8 9 10 11 12 13 13 14 14 13 13 12 11 10 9 9 nan
nan 17 19 18 16 14 11 10 8 8 8 9 9 8 8 8 7 7 7 7 7 8 9 11 12 13 13 13 11 10 11 13 15 16 16 13 10 9 10 11 13 14 14 13 12 11 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 13 12 11 9 7 5 6 9 11 13 14 13 12 10 8 7 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 2 -0 1 3 7 10 12 12 11 10 9 8 6 3 1 -1 -1 1 3 6 7 7 5 3 2 3 8 15 19 23 25 26 26 25 24 22 20 18 15 13 12 10 9 9 8 7 6 5 3 3 4 6 8 9 9 10 10 9 9 10 12 16 20 22 20 16 11 7 10 14 19 20 18 14 11 9 8 8 8 9 10 11 12 12 13 14 14 13 13 12 11 10 9 9 nan
nan 13 15 17 17 16 15 13 12 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 12 12 11 10 10 11 12 13 15 15 14 12 10 10 11 13 15 16 15 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 11 9 7 7 7 9 11 13 14 13 12 10 7 6 6 6 7 7 7 6 6 6 6 5 4 4 6 7 6 3 1 2 5 8 10 11 11 10 10 9 8 6 5 3 1 0 1 2 3 5 5 5 4 3 4 7 10 13 16 19 21 23 25 25 24 23 20 18 16 13 11 9 7 6 5 5 4 4 5 6 7 9 9 10 13 15 17 18 18 20 23 25 26 25 21 16 11 9 10 13 15 14 12 11 9 9 8 8 9 10 11 12 13 14 14 14 14 13 12 11 10 9 9 nan
nan 11 11 12 13 14 14 15 15 14 13 12 11 10 10 9 9 9 9 9 8 7 7 8 9 10 10 9 9 10 11 11 12 13 15 16 15 13 11 11 12 14 15 15 14 13 13 13 12 12 11 10 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 11 10 9 9 9 10 12 13 13 11 9 6 5 4 5 6 7 7 7 6 6 6 5 4 4 5 7 6 5 5 6 8 9 10 11 11 11 10 9 8 8 7 7 6 4 3 3 3 3 3 4 3 3 4 5 7 9 11 12 15 17 19 20 20 20 18 17 15 13 11 8 5 4 4 6 7 9 10 10 10 11 12 12 14 16 18 20 22 23 24 24 24 23 20 17 14 11 11 10 10 9 9 9 9 9 8 8 9 10 11 13 14 14 15 14 13 13 12 11 9 8 8 nan
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nan 11 9 7 6 6 8 10 12 13 13 13 13 12 12 11 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 10 11 13 15 17 18 18 17 15 13 13 12 12 12 12 12 13 14 15 15 13 12 11 11 12 12 13 13 13 13 13 14 15 15 14 13 12 12 12 12 13 13 13 12 11 10 8 6 4 4 4 5 6 6 7 7 8 7 8 7 7 8 8 7 6 6 7 9 10 11 12 13 14 14 13 12 11 11 11 11 10 9 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 10 11 11 10 10 9 9 9 9 9 10 11 11 10 8 6 4 3 1 0 -0 -1 -1 1 4 5 5 6 6 6 6 6 6 6 7 6 5 5 5 5 6 6 6 7 8 9 10 12 12 13 12 12 11 10 10 9 8 7 7 nan
nan 10 9 7 6 7 8 9 9 9 9 9 10 10 9 9 9 8 9 10 10 10 11 10 10 9 9 8 7 7 8 9 11 13 14 15 15 15 15 15 15 14 14 13 12 11 11 12 13 15 16 16 15 14 14 13 13 13 12 12 12 13 14 15 16 16 15 14 14 15 15 15 14 14 13 12 10 8 6 5 5 6 6 7 7 6 6 6 6 7 8 9 9 9 8 6 6 7 9 10 11 12 12 13 13 12 12 12 12 12 12 11 10 9 7 6 5 5 5 5 6 6 6 5 4 4 4 4 5 6 7 8 8 9 9 8 8 8 8 9 10 11 11 10 9 8 6 4 3 2 1 1 1 1 2 1 1 1 2 3 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 8 9 9 10 11 11 11 10 10 10 9 8 7 7 nan
nan 10 10 9 8 8 9 9 8 7 6 6 7 7 7 7 8 8 9 10 11 11 11 11 11 10 9 9 8 7 7 8 11 13 14 13 11 11 12 13 15 16 17 17 15 12 11 10 11 13 16 19 19 18 17 16 14 13 12 12 11 12 14 16 17 18 18 19 20 22 22 21 19 17 15 13 11 9 8 7 7 8 9 10 10 9 7 6 6 6 8 10 11 11 9 7 7 7 8 10 11 12 12 12 11 11 11 11 11 12 12 11 10 9 8 7 6 6 5 6 7 7 7 7 6 6 6 5 5 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 6 5 5 5 5 5 5 4 5 6 7 7 7 6 6 5 5 5 6 6 7 7 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 9 9 9 nan
nan 12 12 11 11 10 10 10 9 8 7 7 7 7 7 7 8 9 9 10 11 12 12 11 11 11 10 9 8 8 7 8 10 12 13 12 10 9 9 11 13 17 20 21 20 17 13 11 10 12 15 19 22 22 20 18 16 14 13 12 12 12 15 17 19 20 21 22 25 29 31 31 29 24 20 16 13 11 10 9 8 9 10 12 14 14 12 10 8 7 8 9 11 12 11 9 8 8 8 9 11 12 13 13 12 11 11 11 11 11 12 11 11 10 9 8 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 7 7 7 7 6 6 6 6 8 10 11 12 12 11 9 8 6 5 5 5 5 6 7 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 nan
nan 12 11 11 12 12 12 12 12 11 10 10 10 9 9 9 9 10 11 11 12 12 11 11 10 10 11 10 9 8 7 8 9 11 12 12 11 9 9 9 12 15 19 23 23 21 18 14 11 12 14 18 22 23 22 19 17 15 14 12 12 13 15 18 20 21 21 21 24 29 33 37 37 33 27 21 17 15 14 13 12 12 12 13 15 17 17 15 12 10 9 10 11 12 11 9 8 7 8 9 11 13 14 14 13 12 11 11 12 12 13 12 11 10 9 8 7 6 6 6 6 7 8 8 9 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 8 7 7 7 8 11 14 17 17 14 11 9 7 6 5 5 5 6 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 nan
nan 10 9 10 11 13 15 15 15 14 13 13 12 11 11 11 11 11 12 12 13 12 11 11 10 11 11 11 10 8 8 8 9 10 11 11 10 10 9 9 11 13 17 21 23 22 20 17 15 14 16 19 22 23 21 19 17 15 13 12 13 14 14 16 17 17 17 16 17 21 26 31 34 33 29 25 22 22 21 21 19 18 16 15 15 15 16 16 15 13 11 11 11 11 10 9 7 7 7 8 10 12 13 13 12 11 11 11 13 14 14 14 13 11 10 9 8 7 7 7 7 7 8 8 9 10 10 10 10 9 8 8 7 6 6 6 6 6 6 6 7 7 8 8 9 9 10 11 11 11 10 9 9 9 12 16 18 19 16 11 8 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 nan
nan 7 7 8 9 12 15 16 17 17 15 14 13 12 12 12 12 12 12 13 13 12 12 11 11 11 12 11 10 9 9 9 9 10 9 9 8 8 9 9 9 10 13 17 19 20 19 18 16 16 19 21 22 22 20 17 15 14 13 12 12 12 11 11 11 11 11 11 11 13 16 20 23 24 23 22 22 24 25 25 24 21 19 16 15 14 14 15 16 15 15 13 12 11 10 9 8 7 7 8 9 11 12 12 11 9 9 9 12 14 16 16 15 13 12 11 10 10 9 9 9 8 8 8 9 10 10 11 10 10 9 9 8 7 7 7 8 8 8 8 9 10 10 10 11 11 12 13 14 14 13 12 12 13 16 18 19 16 11 6 5 5 5 6 7 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 14 14 14 nan
nan 7 7 7 8 10 13 15 16 16 15 14 13 13 12 12 11 11 11 12 12 13 13 12 12 12 11 11 11 10 10 11 10 10 8 7 8 8 8 8 7 7 9 11 13 14 15 15 15 16 19 22 22 21 19 16 14 13 12 10 9 8 6 5 5 6 7 8 8 9 10 11 13 14 14 15 16 19 21 21 20 18 16 15 13 12 12 13 15 17 17 16 14 12 11 11 10 9 9 9 10 11 12 11 10 9 8 8 10 13 15 16 16 15 14 13 12 12 12 12 11 10 10 10 11 12 13 14 14 13 13 12 11 10 10 10 10 10 10 11 11 11 11 12 12 13 14 14 15 16 16 16 16 17 16 15 13 8 3 3 3 5 6 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 16 17 nan
nan 9 8 8 8 9 10 12 13 13 12 12 13 13 12 11 10 10 10 11 12 13 13 13 11 11 10 10 10 10 10 10 10 9 7 7 8 9 9 9 7 6 6 7 8 9 11 12 13 15 18 21 21 20 19 17 15 13 11 9 6 4 2 1 2 3 5 6 7 7 7 7 7 8 8 9 10 11 12 13 12 12 11 11 10 9 10 11 14 16 18 17 16 14 13 12 11 11 11 11 11 11 12 11 10 10 9 8 9 11 13 15 16 15 15 14 14 14 14 14 14 13 12 13 14 17 19 21 21 21 20 18 17 16 15 14 13 13 12 12 12 12 11 12 13 13 14 14 15 16 17 16 16 14 11 8 4 1 0 2 4 6 8 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 14 14 15 16 17 19 19 nan
nan 12 11 10 9 9 9 10 11 12 12 11 12 12 12 11 10 10 10 12 13 13 13 12 10 9 10 9 9 9 9 9 9 8 7 7 8 10 11 10 8 5 4 5 6 7 9 11 13 15 18 20 20 20 19 19 17 14 11 7 4 1 -0 -1 0 2 4 6 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 6 7 8 10 13 15 16 16 15 13 12 11 11 10 10 10 10 10 10 10 10 10 9 10 11 12 14 14 15 15 14 14 14 14 14 15 15 15 16 19 22 25 26 27 26 27 26 26 24 22 21 19 17 16 14 13 13 13 13 13 13 14 13 14 14 13 12 10 7 4 3 1 0 2 4 7 9 10 12 12 11 10 9 9 9 8 8 9 9 10 12 13 13 14 15 15 15 15 15 16 16 17 19 20 22 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
12 9 8 8 9 9 9 10 8 6 6 5 5 6 8 10 10 9 9 10 10 11 10 11 11 11 11 11 11 10 9 9 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 9 10 9 9 9 8 8 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 2 6 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 34 83 143 215 340 634 1119 1557 1839 1999 2108 2197 2268 2326 2351 2225 2088 2085 2138 2168 2145 2103 2112 2263 2605 3012 3409 3705 3830 3835 3793 3751 3713 3636 3476
13 11 8 7 7 8 9 10 7 6 5 5 5 6 7 9 9 9 9 9 9 10 10 10 11 12 12 11 11 10 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 9 9 10 9 10 9 9 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 29 91 179 293 465 742 1157 1511 1691 1779 1873 2001 2149 2304 2433 2372 2236 2194 2210 2192 2156 2181 2338 2644 3041 3392 3645 3786 3826 3801 3745 3686 3638 3575 3433
13 11 7 6 7 7 9 9 7 7 5 6 6 6 7 8 7 7 8 9 9 10 10 10 10 11 12 11 10 9 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 9 8 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26 91 187 322 520 795 1137 1397 1475 1534 1677 1867 2037 2190 2310 2221 2182 2273 2265 2194 2164 2277 2580 3010 3410 3656 3775 3809 3798 3752 3675 3614 3585 3543 3417
11 9 5 5 6 7 8 8 8 6 5 7 6 6 6 6 6 7 8 8 9 10 10 10 10 11 11 10 9 8 8 8 8 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24 82 177 319 520 782 1063 1253 1262 1334 1538 1764 1903 1976 2005 1932 2000 2323 2327 2249 2242 2423 2820 3310 3694 3867 3907 3887 3823 3744 3644 3575 3532 3463 3351
8 7 5 5 6 6 7 8 7 6 5 7 6 5 6 6 6 7 7 7 7 8 9 10 11 11 10 9 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 9 9 9 9 8 9 6 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 19 70 164 310 510 747 984 1143 1139 1206 1446 1680 1775 1757 1699 1663 1800 2220 2373 2345 2349 2549 2967 3459 3822 3969 3982 3915 3735 3612 3550 3514 3479 3404 3278
7 7 7 7 6 6 7 7 7 7 6 7 6 5 5 6 6 7 7 7 8 9 9 9 10 10 10 9 8 8 8 9 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 9 9 9 9 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 58 153 304 497 713 916 1046 1044 1100 1346 1590 1655 1590 1508 1488 1624 2001 2309 2382 2428 2638 3037 3490 3820 3952 3945 3836 3664 3539 3469 3400 3351 3311 3249
7 9 9 8 6 6 7 6 7 7 6 6 6 6 5 5 6 6 7 7 7 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 8 8 7 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 52 136 274 463 674 858 962 975 1024 1233 1458 1524 1466 1384 1369 1495 1789 2113 2284 2380 2608 3009 3446 3748 3840 3776 3674 3624 3476 3376 3277 3211 3192 3204
7 9 9 7 6 7 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 8 9 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 8 9 9 7 7 7 4 1 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 4 18 51 107 215 403 622 796 887 922 980 1121 1284 1358 1365 1368 1402 1495 1664 1891 2067 2153 2389 2812 3264 3612 3772 3754 3643 3558 3453 3344 3225 3150 3129 3152
8 9 9 9 8 7 6 6 7 7 6 5 6 7 6 6 5 6 7 7 7 8 9 9 9 8 7 8 8 8 8 8 8 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 8 8 7 6 7 6 3 1 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 2 12 30 45 68 155 338 555 726 820 871 917 988 1144 1311 1424 1493 1538 1599 1677 1753 1834 1935 2235 2665 3074 3426 3593 3528 3424 3475 3426 3345 3217 3116 3095 3138
9 9 9 8 7 6 6 6 6 7 6 6 5 7 6 5 5 6 7 7 7 8 9 9 8 7 6 7 7 8 8 8 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 26 25 32 112 274 471 634 739 798 829 859 1086 1599 1797 1526 1306 1375 1575 1689 1752 1868 2237 2614 2943 3243 3395 3364 3299 3346 3352 3293 3189 3095 3091 3166
10 9 8 8 7 7 7 6 6 7 8 7 6 7 6 5 5 6 6 6 6 7 8 8 8 8 7 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 5 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 11 20 81 208 372 519 630 704 739 789 1081 1682 2080 2007 1588 1371 1477 1684 1832 1924 2193 2437 2713 3021 3206 3225 3206 3267 3271 3216 3154 3064 3043 3111
10 9 8 8 8 8 8 7 6 7 8 8 7 5 6 5 5 6 6 6 6 6 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 7 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 3 12 8 4 2 1 0 0 0 0 0 0 0 0 1 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 15 52 153 290 419 526 608 668 772 1083 1639 1902 1615 1453 1421 1563 1802 1959 1966 2050 2204 2479 2813 3039 3113 3116 3126 3123 3100 3080 3030 3020 3098
9 8 7 8 8 8 8 8 7 6 7 7 7 6 6 5 6 6 6 6 6 6 7 8 8 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 10 10 10 10 10 10 9 8 8 8 6 7 3 0 0 0 0 0 0 0 0 0 0 0 1 4 13 10 4 2 1 0 1 0 0 0 0 0 1 6 17 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 2 12 42 130 248 353 443 524 604 747 1074 1614 1982 1726 1511 1533 1727 1923 1978 1905 1912 2073 2383 2719 2955 3063 3074 3026 2961 2955 3023 3011 3012 3057
9 8 8 8 9 9 9 9 9 7 6 7 8 7 6 5 5 5 6 6 6 6 7 8 8 8 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 2 0 0 0 0 0 0 0 0 0 0 0 4 17 40 9 3 2 1 0 0 0 0 0 0 0 0 5 14 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 1 7 35 117 221 300 368 437 513 664 1007 1577 2127 2033 1945 1936 1999 2017 1946 1865 1899 2090 2415 2723 2902 2985 3000 2933 2832 2852 2937 2941 3042 3041
9 9 10 10 10 10 10 10 10 8 7 7 8 7 6 5 5 5 5 5 6 7 7 8 8 7 7 6 6 7 7 8 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 9 39 61 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 26 86 169 233 287 345 409 546 849 1344 1868 1988 2107 2161 2137 2057 1971 1946 2026 2217 2505 2765 2865 2841 2769 2691 2647 2679 2738 2809 2925 3048
11 11 11 12 12 11 10 10 9 8 7 6 7 7 6 5 5 5 5 5 6 7 7 7 7 6 6 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 15 68 76 9 23 5 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 40 86 148 212 269 334 458 708 1089 1495 1766 1947 2062 2097 2078 2061 2099 2210 2383 2606 2808 2846 2751 2619 2511 2454 2467 2566 2698 2821 2920
12 12 13 14 13 11 10 9 9 8 7 6 7 7 6 6 5 5 5 5 6 7 7 6 6 6 6 6 6 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 18 91 86 59 76 10 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 34 77 149 207 281 417 669 1020 1388 1690 1904 2051 2132 2156 2185 2264 2389 2532 2689 2821 2836 2715 2555 2422 2349 2359 2471 2680 2801 2867
13 13 14 14 12 11 10 9 8 8 7 6 6 6 5 6 6 5 5 6 6 6 5 5 5 5 5 6 6 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 17 113 261 219 94 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 0 0 0 0 0 0 0 2 6 14 36 96 153 244 423 719 1090 1458 1764 1991 2154 2249 2294 2338 2425 2533 2629 2719 2780 2792 2679 2524 2395 2323 2327 2425 2608 2782 2894
13 13 14 13 12 12 11 10 8 8 8 7 6 6 6 5 6 4 5 5 5 5 5 5 5 4 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 10 9 9 9 9 8 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 13 97 427 206 32 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 1 4 20 67 123 251 498 849 1247 1626 1942 2170 2310 2386 2424 2462 2551 2637 2680 2701 2705 2707 2607 2486 2382 2319 2314 2377 2503 2666 2815
12 12 13 14 13 12 11 10 9 8 7 7 6 7 6 5 5 4 4 4 4 4 4 4 4 4 5 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 8 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 34 98 171 349 669 1052 1433 1766 2028 2214 2332 2393 2441 2526 2632 2680 2668 2644 2630 2612 2521 2431 2361 2320 2320 2366 2456 2582 2722
12 12 12 13 12 11 10 9 8 7 7 7 6 6 5 4 4 4 4 4 4 3 4 4 4 4 5 6 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 7 8 10 10 10 10 10 10 9 9 8 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 11 62 171 323 552 901 1263 1561 1772 1914 2021 2128 2234 2351 2532 2644 2634 2567 2516 2494 2471 2418 2365 2324 2306 2322 2369 2441 2537 2656
11 12 12 12 10 9 9 9 8 7 7 7 6 6 5 5 4 4 4 3 2 3 3 4 4 5 6 6 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 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 0 0 0 0 0 0 0 0 0 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 10 75 240 500 805 1129 1418 1607 1681 1707 1763 1882 2054 2252 2474 2578 2537 2453 2394 2364 2338 2314 2292 2274 2276 2312 2371 2442 2519 2600
11 11 12 10 10 10 9 9 9 8 7 7 6 6 5 4 3 3 4 3 3 2 3 4 4 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 82 300 651 1022 1304 1511 1640 1631 1560 1552 1679 1907 2139 2350 2455 2433 2374 2326 2295 2274 2258 2241 2228 2237 2282 2350 2424 2497 2580
10 11 11 10 12 11 10 10 9 8 7 7 6 5 5 4 3 2 3 3 2 3 3 4 5 5 6 5 5 6 6 6 7 7 7 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 9 9 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 98 368 783 1182 1411 1553 1653 1608 1505 1476 1588 1799 2010 2177 2296 2322 2305 2283 2270 2264 2261 2238 2210 2201 2234 2302 2387 2477 2570
10 10 10 10 11 10 10 10 9 8 7 7 6 5 5 4 3 3 3 2 2 3 4 4 5 6 6 5 6 6 6 7 7 7 7 7 8 7 6 6 7 8 9 10 10 10 10 10 10 10 9 9 9 8 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 7 119 433 892 1301 1494 1570 1607 1541 1456 1457 1567 1734 1883 1988 2102 2152 2171 2219 2281 2305 2286 2279 2226 2182 2203 2275 2371 2466 2549
10 9 10 10 10 10 10 9 8 7 7 7 7 5 5 4 2 3 3 2 2 3 4 5 5 6 7 6 6 6 7 7 7 7 7 6 7 6 6 6 7 9 11 10 10 10 10 10 10 10 10 10 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 143 489 958 1350 1526 1557 1520 1475 1435 1457 1551 1669 1758 1816 1890 1946 1990 2099 2243 2319 2319 2348 2299 2216 2227 2291 2372 2451 2530
11 10 10 10 10 9 9 8 8 7 7 6 6 5 4 2 1 2 2 2 2 3 4 5 6 7 7 6 6 6 7 7 7 7 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 151 488 901 1236 1417 1469 1450 1439 1432 1456 1521 1597 1650 1684 1729 1784 1857 1998 2209 2349 2394 2435 2409 2308 2302 2334 2381 2443 2522
12 10 9 8 8 8 8 8 8 7 6 6 5 3 2 1 1 1 1 2 2 4 6 7 7 7 7 7 7 6 7 7 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 2 18 125 387 678 937 1129 1244 1304 1337 1356 1379 1426 1492 1554 1596 1623 1648 1741 1902 2146 2341 2457 2526 2518 2439 2414 2409 2426 2481 2564
12 10 9 8 7 7 7 7 7 6 5 5 4 3 2 1 1 1 1 2 3 5 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 10 10 10 9 9 9 9 9 9 7 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 5 12 13 8 3 4 18 84 233 398 577 758 914 1024 1074 1106 1147 1219 1319 1418 1487 1521 1549 1650 1861 2117 2317 2461 2561 2597 2585 2559 2522 2520 2567 2648
11 9 8 7 7 6 6 6 5 5 4 4 3 2 1 1 0 1 3 4 6 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 9 10 10 10 9 8 8 8 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 18 23 21 16 14 21 48 111 189 300 439 580 687 731 756 833 948 1089 1229 1337 1402 1453 1539 1762 2075 2308 2468 2586 2672 2731 2735 2669 2670 2692 2751
9 7 7 6 5 5 5 6 5 4 4 3 2 2 1 1 1 2 4 5 7 9 9 8 8 7 7 7 8 7 6 6 6 6 6 6 6 7 7 8 8 8 7 8 9 9 8 7 7 8 8 6 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 1 7 23 35 34 33 33 28 30 49 82 142 229 334 427 482 520 600 724 886 1046 1178 1274 1351 1447 1663 1993 2265 2473 2637 2767 2866 2909 2831 2871 2861 2901
7 7 7 6 5 4 5 5 5 4 3 3 2 1 1 2 2 4 6 7 8 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 6 4 7 8 8 7 7 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 40 46 48 44 32 24 26 40 68 118 193 276 341 384 450 580 749 910 1049 1164 1262 1375 1582 1899 2202 2466 2686 2860 2985 3062 2999 3077 3047 3077
7 6 7 6 5 4 4 4 3 3 2 2 1 2 3 4 6 8 9 10 10 9 8 7 7 7 7 7 6 6 6 6 6 5 5 6 7 8 8 8 7 5 2 4 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 32 51 53 42 28 21 18 22 37 71 128 202 275 333 390 519 678 832 968 1083 1187 1316 1535 1856 2167 2434 2677 2895 3073 3188 3178 3258 3228 3257
8 7 7 7 6 5 4 3 3 3 2 2 2 3 4 6 7 9 10 9 9 9 8 8 8 8 7 6 6 6 6 6 5 4 5 6 7 8 8 8 7 5 4 4 7 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 16 50 77 69 48 30 20 14 14 26 58 112 180 254 327 396 507 657 799 919 1021 1123 1264 1496 1819 2127 2385 2626 2867 3087 3246 3330 3390 3368 3410
9 9 9 9 8 6 5 4 3 3 3 3 4 5 6 8 9 9 9 9 8 7 7 7 7 7 6 6 6 6 5 4 4 4 4 5 6 7 7 8 8 7 7 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 78 94 85 62 39 25 17 14 22 52 107 175 243 316 401 496 630 761 872 968 1072 1221 1449 1753 2045 2334 2582 2832 3071 3274 3435 3489 3504 3563
12 12 12 12 10 9 7 6 5 3 3 4 6 8 9 10 9 9 9 9 8 7 7 7 6 6 5 4 4 4 3 2 2 2 3 4 5 7 7 8 8 8 8 5 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 42 54 66 58 42 28 19 14 18 37 83 145 207 273 351 437 560 690 804 912 1035 1199 1422 1701 1986 2323 2598 2854 3090 3300 3478 3570 3633 3682
16 15 14 13 12 11 10 8 6 5 5 6 8 10 11 10 8 8 9 8 7 6 7 6 5 5 4 3 1 2 1 1 0 0 2 3 5 7 7 7 7 7 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 27 41 40 32 23 16 13 14 20 44 91 144 204 271 349 465 603 738 873 1018 1188 1399 1665 1990 2358 2664 2910 3120 3313 3487 3621 3703 3743
16 15 14 12 11 11 11 10 8 7 8 9 10 10 10 8 7 7 7 7 6 7 7 6 5 5 4 2 1 2 0 0 0 0 2 3 5 6 6 6 6 5 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 6 21 24 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 18 22 25 26 25 23 16 19 38 74 127 196 285 402 546 703 866 1031 1203 1407 1679 2041 2429 2751 2989 3180 3360 3534 3679 3770 3800
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3 2 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 2 4 3 1 0 9 30 83 123 106 44 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 1 6 12 17 21 23 24 28 31 22 10 4 9 14 38 62 82 105 136 158 92 40 11 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 24 75 185 431 901 1596 2160 2533 2742 2832 2844 2799 2714
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 2 0 0 0 6 33 67 76 46 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 1 0 0 0 0 0 0 1 2 4 11 20 23 30 34 35 36 42 40 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 27 80 229 539 1029 1616 2122 2484 2706 2815 2840 2801 2712
0 0 0 0 0 0 0 1 2 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 2 4 7 4 2 1 0 0 3 10 16 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 29 92 290 652 1139 1657 2116 2464 2697 2823 2858 2815 2716
0 0 0 0 0 1 7 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 5 4 4 4 3 4 6 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 25 94 317 701 1189 1689 2117 2448 2688 2828 2873 2836 2727
0 0 0 4 6 7 9 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 3 2 5 14 29 60 72 37 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 2 4 13 30 36 23 9 1 0 0 0 0 0 0 0 1 1 0 1 3 9 24 90 320 706 1190 1688 2120 2447 2683 2826 2881 2854 2746
0 0 2 15 22 20 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 2 25 80 153 172 86 23 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20 33 32 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 7 10 25 60 109 121 73 33 12 6 5 10 13 15 14 11 10 8 6 5 6 12 31 95 321 709 1204 1716 2154 2483 2704 2845 2903 2875 2759
0 0 7 22 27 19 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 1 6 26 62 97 70 18 0 0 2 8 18 17 7 0 0 0 0 0 0 0 0 0 0 0 0 0 3 26 56 56 37 14 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 4 12 5 14 38 91 157 176 107 61 36 27 32 47 59 65 64 58 51 42 33 26 24 32 58 124 340 726 1242 1788 2245 2554 2758 2888 2934 2888 2752
0 1 9 21 25 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 7 1 1 5 15 33 11 3 0 3 15 38 42 19 3 0 0 0 0 0 0 0 0 0 0 0 0 6 34 38 29 16 6 9 24 44 27 7 1 0 0 0 0 0 0 0 1 4 5 5 4 2 0 0 0 2 4 3 14 36 80 133 164 135 102 86 86 102 123 135 140 140 132 118 101 85 76 76 89 124 201 406 795 1317 1860 2314 2618 2817 2932 2953 2877 2708
0 1 9 34 42 28 8 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 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 4 15 23 13 2 0 0 3 12 24 8 2 2 12 33 47 25 7 0 0 0 0 0 0 0 0 0 0 0 0 1 6 6 3 1 3 18 55 138 137 93 41 12 2 0 0 0 2 6 8 15 17 15 14 14 14 9 3 2 8 20 33 53 79 110 138 156 151 151 152 154 155 154 153 152 148 149 159 151 153 164 187 232 320 516 912 1447 1976 2400 2700 2895 2983 2961 2831 2613
0 2 10 77 91 61 22 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 5 6 3 0 1 5 11 12 9 4 1 0 0 0 0 0 0 1 7 10 7 0 0 0 0 8 22 7 1 0 6 20 37 32 10 0 0 0 0 13 25 25 14 0 0 0 0 0 0 0 0 0 2 11 40 115 184 190 147 83 37 30 31 26 19 15 16 21 24 26 29 36 41 30 19 21 39 66 85 87 88 97 121 155 173 186 187 182 173 160 150 173 184 191 205 217 238 266 301 356 454 642 1052 1601 2121 2528 2811 2984 3026 2944 2750 2478
3 12 44 134 158 102 39 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 24 26 12 1 2 6 13 21 21 14 6 1 0 0 0 0 0 0 1 1 1 0 0 0 0 6 13 7 5 2 4 14 28 39 12 2 1 0 2 19 54 78 61 19 1 0 0 0 0 0 0 0 0 0 3 17 80 135 155 142 103 67 38 36 27 18 16 21 31 37 40 49 69 62 45 45 67 102 129 125 108 99 107 128 151 176 186 185 175 161 149 161 176 197 224 252 290 337 392 464 578 776 1223 1764 2266 2661 2921 3051 3026 2877 2619 2310
11 49 112 182 210 112 37 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 42 43 13 1 0 2 5 14 21 20 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 13 33 36 22 7 5 11 21 16 9 2 1 2 10 42 91 104 75 28 7 1 0 0 0 0 0 0 0 0 1 5 31 52 55 43 26 10 12 13 15 24 36 47 50 51 56 68 70 56 61 87 122 147 140 107 92 90 99 120 149 166 169 162 150 140 141 158 187 221 258 301 358 431 527 675 925 1398 1915 2389 2762 2994 3064 2968 2766 2459 2127
19 85 196 245 210 98 24 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 25 27 5 0 0 0 0 3 10 15 16 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 7 35 73 70 21 3 2 14 43 60 49 31 15 8 16 48 84 107 99 55 22 5 0 0 0 0 0 2 3 2 1 0 0 0 0 1 1 1 2 7 15 26 33 31 37 37 33 43 48 76 114 146 155 127 88 70 68 80 104 133 151 155 148 137 126 121 134 158 191 230 275 335 424 552 756 1076 1555 2062 2515 2860 3046 3046 2875 2633 2307 1968
36 108 250 267 194 88 17 2 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 0 0 0 0 2 7 10 5 1 0 0 0 0 2 7 12 13 8 1 0 0 0 0 0 0 0 0 0 0 0 0 3 33 77 90 33 15 18 51 111 167 150 104 56 23 9 10 29 70 111 124 103 62 27 11 11 16 18 31 34 30 23 15 7 6 4 0 0 0 0 1 2 4 7 9 14 13 15 22 32 67 113 144 139 95 49 34 37 56 86 118 137 139 134 127 121 117 121 136 161 195 240 303 405 571 834 1212 1699 2200 2620 2918 3053 3000 2761 2504 2182 1860
31 100 225 248 170 79 20 0 0 0 0 0 1 5 16 21 17 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 6 14 19 4 1 0 0 0 0 2 6 10 10 5 3 1 0 0 0 0 0 0 0 1 2 4 8 38 80 102 76 68 89 131 187 235 217 151 86 40 16 4 5 21 57 95 111 89 76 107 132 132 118 121 118 115 109 94 70 75 83 83 66 23 3 0 0 0 1 4 8 9 13 20 30 54 87 112 115 85 28 13 17 39 72 106 127 130 126 124 126 130 135 145 161 185 224 287 408 611 929 1354 1851 2336 2703 2929 2986 2875 2624 2363 2062 1777
37 90 187 255 162 74 20 0 0 0 0 3 10 29 80 111 98 58 17 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 5 16 24 15 3 0 0 0 0 0 2 5 10 16 25 20 10 1 0 0 0 0 4 10 19 31 42 66 108 148 168 176 214 244 264 268 237 168 102 55 27 12 4 4 14 36 65 89 96 145 189 206 191 176 184 201 214 218 211 228 261 283 278 222 130 49 15 5 6 10 12 11 13 18 27 39 57 81 95 78 26 8 19 44 77 108 129 132 129 132 141 153 166 178 189 206 239 305 445 689 1055 1512 2005 2454 2742 2872 2851 2701 2464 2200 1931 1699
136 178 248 268 165 62 15 0 0 0 0 6 23 91 211 301 271 164 59 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 19 18 3 0 0 0 0 0 0 2 8 39 80 95 79 54 31 16 5 4 28 57 76 88 102 123 146 173 211 261 304 334 327 288 229 164 110 65 34 14 4 1 1 6 16 35 71 154 207 215 198 178 179 201 228 253 274 295 328 347 348 321 243 130 70 53 47 36 28 19 13 11 17 29 49 91 91 60 25 18 38 66 98 127 147 150 150 156 167 183 201 219 234 251 285 362 523 816 1215 1671 2123 2502 2711 2747 2668 2505 2284 2037 1810 1623
290 316 324 264 153 48 5 0 0 0 0 5 28 155 315 411 386 239 94 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 1 0 0 0 0 0 0 0 4 56 127 178 187 164 129 84 46 33 57 121 180 219 238 245 239 234 241 263 283 311 289 232 161 101 69 54 32 14 6 3 2 1 2 4 12 47 104 140 148 144 145 162 184 214 245 273 302 347 370 351 288 204 124 82 58 45 46 40 28 23 29 50 94 147 109 63 41 46 68 101 133 161 180 184 185 192 205 224 246 268 286 313 366 470 657 988 1392 1812 2200 2503 2634 2605 2486 2309 2099 1879 1679 1519
331 339 324 199 98 30 0 0 0 0 1 5 22 160 298 375 353 229 82 18 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 1 42 115 186 224 220 187 130 75 40 37 128 224 296 331 333 323 274 232 209 204 218 208 165 108 55 26 36 27 16 11 9 8 8 7 6 4 6 16 37 68 99 129 160 183 211 235 255 286 331 365 381 369 318 217 159 104 82 102 111 95 87 95 133 208 241 184 118 82 87 120 158 191 214 225 225 227 236 252 276 305 335 370 417 499 641 861 1186 1561 1926 2247 2478 2544 2481 2341 2151 1934 1714 1521 1404
242 230 189 66 28 8 0 0 0 0 0 6 40 168 289 348 319 212 73 19 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 17 88 172 237 264 247 165 84 27 17 77 168 250 304 324 319 302 240 184 154 148 147 128 93 54 29 29 21 15 11 10 12 20 33 42 36 17 6 11 34 71 118 168 194 217 231 247 284 314 329 339 339 331 325 351 324 286 260 241 219 213 220 261 320 289 237 193 163 160 190 217 245 260 262 260 262 277 305 346 397 454 515 585 689 851 1083 1382 1708 2012 2261 2417 2445 2367 2221 2030 1811 1586 1390 1326
108 95 64 26 8 2 0 0 0 0 0 7 79 230 389 437 382 266 137 48 13 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 5 34 132 244 343 411 442 282 145 65 42 55 95 152 212 260 285 269 231 194 162 138 120 98 69 45 30 25 17 10 6 5 8 20 55 84 98 86 57 39 43 65 97 134 158 179 198 222 252 272 277 286 306 314 289 329 329 316 300 288 281 291 296 331 364 310 262 232 213 200 180 235 267 279 282 285 296 324 376 453 546 640 718 803 914 1069 1278 1538 1821 2063 2240 2331 2326 2236 2086 1899 1691 1483 1299 1263
22 40 63 59 32 9 2 0 0 0 0 6 133 300 432 458 378 284 185 99 45 16 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 18 74 177 297 411 499 521 365 236 186 174 163 142 127 140 163 194 247 248 227 196 164 136 115 82 58 45 37 27 14 6 2 3 10 41 70 100 119 112 91 79 76 83 99 121 144 168 193 219 242 263 281 307 307 271 284 271 246 226 219 225 247 275 321 354 352 425 472 351 242 244 284 292 300 309 323 347 392 475 590 719 837 924 995 1087 1224 1412 1647 1890 2071 2192 2236 2197 2092 1937 1751 1564 1398 1261 1218
7 24 68 87 65 25 4 1 0 0 1 5 182 331 410 402 317 233 179 124 71 31 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 51 109 176 239 286 293 239 179 234 308 342 310 226 171 141 145 176 211 229 230 222 210 200 169 146 135 131 123 102 75 52 38 35 37 53 75 94 103 102 93 88 92 110 140 166 188 212 238 268 300 313 304 287 276 286 257 206 174 168 180 192 228 278 320 351 398 406 321 288 312 324 336 349 364 387 423 483 589 725 869 997 1091 1151 1222 1334 1494 1689 1887 2028 2116 2137 2083 1969 1814 1614 1443 1315 1222 1161
37 57 76 95 76 39 10 1 0 0 1 33 188 303 328 286 204 133 124 104 75 47 30 22 15 11 9 7 5 7 10 11 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 2 9 22 37 57 87 83 62 49 202 369 470 475 389 298 221 188 189 202 237 268 288 304 316 314 302 284 272 262 243 219 204 163 112 75 51 47 55 70 84 93 99 115 146 185 217 246 276 309 346 380 370 355 350 348 336 299 242 200 193 210 215 237 270 299 316 317 300 284 295 319 343 372 394 417 449 498 574 694 835 972 1092 1187 1256 1321 1404 1524 1675 1816 1929 2005 2023 1974 1857 1690 1493 1349 1243 1146 1038
165 208 207 178 121 65 24 4 0 0 0 31 111 194 168 103 57 38 43 53 59 64 60 48 44 49 57 68 68 70 73 73 65 41 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 5 30 139 88 13 22 147 326 459 510 480 417 347 289 250 241 267 315 349 361 375 401 404 336 280 246 227 219 229 194 158 134 101 72 60 64 80 100 118 137 168 205 239 276 319 359 398 426 417 411 415 425 430 406 330 285 274 287 303 319 333 338 330 311 291 284 302 334 371 405 435 462 501 562 653 784 919 1037 1139 1229 1312 1390 1458 1548 1650 1729 1813 1879 1898 1852 1737 1557 1354 1223 1114 984 819
311 368 368 325 241 145 71 24 4 0 0 17 45 69 50 17 6 4 7 16 29 50 70 83 99 130 144 141 131 119 121 141 157 148 90 18 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 10 53 260 129 24 20 88 212 333 408 435 429 409 380 336 297 282 303 328 336 342 351 343 237 148 97 79 74 91 114 146 167 159 134 114 105 108 123 149 167 183 204 228 260 302 347 397 426 413 415 414 408 396 377 344 284 320 367 385 386 395 401 387 360 335 303 307 351 412 464 481 486 524 595 699 834 960 1062 1144 1219 1297 1387 1459 1536 1608 1664 1723 1768 1771 1714 1597 1426 1219 1067 918 747 555
275 330 357 353 302 244 184 110 43 7 4 31 53 49 25 3 1 0 1 4 13 43 86 132 178 226 251 242 199 146 133 163 207 235 219 134 48 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 4 27 109 331 119 25 7 30 80 160 233 287 320 335 339 329 312 297 298 328 363 340 299 254 155 69 25 9 10 24 90 143 182 199 188 157 140 137 153 189 213 222 228 238 254 278 315 366 390 377 369 365 355 336 306 270 355 387 396 389 379 386 407 416 417 410 376 353 379 427 464 457 449 441 494 615 777 922 1022 1092 1149 1208 1284 1371 1460 1542 1608 1662 1688 1679 1613 1491 1332 1151 981 785 563 349
116 180 218 266 305 315 305 250 155 72 53 102 115 90 50 16 5 3 2 6 16 42 89 145 203 255 280 275 243 204 181 187 222 258 264 216 111 42 11 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 31 74 78 139 263 86 19 0 3 12 41 83 128 165 189 206 214 220 227 239 257 262 254 238 213 160 96 55 36 34 51 101 141 177 201 203 180 156 140 159 211 254 277 286 286 288 298 332 362 375 371 358 337 311 295 287 291 325 354 341 314 302 323 358 396 429 442 420 416 437 453 440 387 324 234 287 456 673 849 942 1006 1056 1104 1160 1228 1307 1400 1500 1593 1638 1631 1561 1434 1268 1073 865 643 419 229
60 102 146 174 214 248 272 275 247 214 197 201 196 158 107 58 24 16 18 21 28 43 68 105 158 222 277 298 285 269 245 228 224 235 245 240 200 114 50 18 9 13 19 16 8 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 8 51 168 321 124 48 81 29 5 0 0 1 7 26 53 72 84 92 101 112 124 134 140 137 142 150 152 139 108 70 52 57 81 121 155 176 192 204 210 206 183 183 206 239 290 325 332 329 338 369 392 407 406 383 336 282 269 284 315 354 387 353 297 258 265 295 363 427 457 446 439 466 496 488 432 361 350 421 538 669 782 854 920 976 1026 1076 1121 1180 1270 1388 1516 1596 1584 1509 1381 1210 1011 799 583 367 189
135 133 105 64 42 62 102 158 225 283 301 288 270 249 206 150 98 69 62 59 46 34 30 41 90 169 241 284 278 279 272 259 241 228 240 269 279 234 152 79 37 28 36 35 16 5 1 1 2 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 30 114 267 434 96 1 0 0 0 0 0 2 8 24 49 53 50 48 51 63 72 74 69 61 64 74 81 81 67 42 32 40 64 98 127 148 169 194 222 247 249 262 275 289 320 348 344 346 367 399 423 436 427 393 339 294 300 344 388 400 411 382 322 265 232 216 311 393 434 432 410 437 534 582 565 534 526 530 544 589 659 740 831 913 988 1052 1093 1136 1209 1318 1446 1544 1522 1444 1315 1143 931 681 430 247 133
171 146 76 14 3 3 10 38 103 209 260 266 279 295 294 254 196 138 101 82 57 37 25 28 60 129 190 227 240 260 275 285 291 292 303 340 353 327 265 183 108 58 38 31 13 4 2 4 12 20 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 29 66 65 8 5 0 0 0 0 0 2 10 28 52 72 65 54 46 46 55 63 59 51 43 38 39 39 37 30 19 17 22 29 40 55 73 95 121 155 197 241 285 316 331 333 329 326 341 371 405 424 424 406 374 338 316 340 387 428 445 432 399 368 332 287 239 318 354 359 348 339 370 484 534 515 465 401 363 366 417 500 595 704 789 870 949 1002 1033 1115 1241 1370 1442 1450 1387 1267 1101 895 641 388 223 129
58 67 30 5 1 0 1 4 26 84 193 212 242 270 281 260 200 136 89 65 60 56 55 63 81 110 147 178 209 248 281 321 358 377 380 392 379 362 337 298 228 134 68 31 10 4 2 11 31 62 84 46 17 3 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 29 52 68 66 57 52 53 62 72 64 51 37 26 21 19 16 10 5 7 14 17 17 18 19 27 44 67 98 141 185 221 248 264 273 285 308 340 370 388 386 371 352 336 335 368 406 439 465 484 488 463 422 380 347 374 359 331 307 296 298 395 448 452 413 352 306 297 327 389 461 541 625 721 829 935 1039 1146 1239 1319 1376 1421 1377 1264 1108 918 669 437 254 133
2 4 0 0 0 0 0 0 7 40 101 163 190 207 212 200 165 117 77 68 87 104 107 111 118 130 146 175 213 258 305 352 390 402 399 397 380 362 353 346 323 252 174 111 64 36 19 20 52 118 205 150 89 41 12 2 0 0 0 0 0 0 6 14 19 20 18 19 18 13 11 6 2 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 1 3 9 21 34 40 39 40 45 55 66 60 49 36 24 16 11 5 1 0 0 5 6 5 3 3 4 12 24 41 63 87 113 141 170 197 222 246 272 299 322 333 329 321 318 327 352 372 381 382 379 377 377 380 386 396 406 387 360 338 320 298 377 414 424 412 381 340 326 329 344 371 415 498 606 736 887 1059 1190 1270 1329 1385 1422 1383 1281 1141 972 768 531 328 176
0 0 0 1 0 0 0 0 2 12 47 92 115 122 123 118 104 84 71 89 125 158 163 161 174 191 206 229 253 290 332 366 385 390 401 407 390 327 300 315 348 367 336 286 219 140 66 33 62 150 239 216 159 97 49 19 5 3 1 0 0 2 27 52 69 77 78 94 111 114 101 71 37 14 3 1 1 3 3 2 0 0 1 3 6 7 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 14 17 24 32 40 43 39 30 19 9 1 0 0 0 0 0 0 0 0 0 0 3 7 13 23 35 48 65 88 114 137 155 176 199 225 247 257 260 263 272 287 299 303 301 296 293 298 319 343 370 398 410 398 372 354 356 409 410 382 339 295 269 265 277 299 327 368 442 546 677 830 996 1121 1215 1283 1332 1363 1359 1290 1180 1032 837 591 374 207
0 1 1 3 3 1 0 0 0 3 25 62 87 83 81 87 95 103 111 135 173 201 206 198 216 245 276 300 296 310 331 349 359 372 408 428 411 347 301 320 375 434 451 419 359 264 154 73 85 163 214 201 165 136 95 55 26 17 12 9 11 30 79 122 144 150 151 163 184 189 178 150 106 59 23 8 8 9 8 5 2 1 5 25 55 87 96 62 27 7 0 0 0 0 2 3 2 1 0 0 0 0 0 1 0 0 1 3 7 13 19 26 26 18 8 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 6 10 16 26 38 50 62 73 86 102 121 146 168 181 188 196 207 219 229 237 242 247 253 276 305 342 382 415 407 372 346 344 354 336 304 270 244 237 247 268 298 338 394 474 575 692 825 967 1078 1159 1219 1265 1303 1327 1296 1213 1082 902 661 429 244
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