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poj 2411 Mondriaan's Dream(转态压缩)

题目链接:poj 2411 Mondriaan‘s Dream

题目大意:用1?2的木块填满n?m的矩阵有多少种方法。

解题思路:插头dp裸题。uva11270

#include <cstdio>
#include <cstring>

typedef long long ll;
const int N = 13;
int n, m;
ll set, dp[N+5][(1<<N)+5];

void solve (int d, int s, int pos) {
    if (pos == m) {
        dp[d][s] += set;
        return;
    }

    solve (d, s, pos + 1);

    if (pos + 2 <= m && (s&(1<<pos)) == 0 && (s&(1<<(pos+1))) == 0)
        solve(d, (s | (1<<pos) | (1<<(pos+1))), pos + 2);
}

int main () {
    while (scanf("%d%d", &n, &m), n + m) {

        memset(dp, 0, sizeof(dp));
        int e = (1<<m)-1;
        set = 1;
        solve(1, 0, 0);

        for (int i = 2; i <= n; i++) {
            for (int j = 0; j < (1<<m); j++) {
                if (dp[i-1][j])
                    set = dp[i-1][j];
                else
                    continue;
                solve(i, ~j & e, 0);
            }
        }
        printf("%lld\n", dp[n][e]);
    }
    return 0;
}