Could anyone please explain to me how to solve this dp problem? Link:https://atcoder.jp/contests/dp/tasks/dp_o Please help?
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Codeforces (c) Copyright 2010-2024 Михаил Мирзаянов
Соревнования по программированию 2.0
Время на сервере: 23.11.2024 23:03:03 (i1).
Десктопная версия, переключиться на мобильную.
При поддержке
dp[i][mask] = Number of ways to match first i men with the set of women indicated by the mask, 0 <= i <= n, 0 <= mask <= 2^n. Obviuosly, if i != popcount(mask), dp[i][mask] = 0.
Fill the dp table by iterating over i and mask. When you fill dp[i][mask], you iterate over all possible pairing of i-th man with a woman. So the transition is dp[i][mask] = (sum of dp[i-1][mask ^ 1 << j] where j-th woman appeared in the mask). Code
Oof I implemented the same method in recursive way and it got TLE
You can refer to explanation by FlowerOfSorrow(above comment) and this code — https://atcoder.jp/contests/dp/submissions/15835680