1. 程式人生 > >poj2226 二分圖經典建圖求最小點覆蓋

poj2226 二分圖經典建圖求最小點覆蓋

題意::給出一個N行M列的圖,’*’代表稀泥,’.’代表草地,現在要用一些木板把所有的稀泥蓋住,但是不能蓋住草地。一張木板只能蓋住一行或者一列中的一部分,求至少要用多少木板把所有的稀泥蓋住。

把橫向連續的點壓在一起作為L,把列向連續的點壓在一起作為R,如果兩者有交集,就從L到R連一條邊。求最小點覆蓋(==最大匹配數)

#include <cstdio>
#include <cstring>
#include <iostream>

using namespace std;
const int N = 55;
const int M = N*N;
char
a[N][N]; int row[N][N],col[N][N]; int R,C; bool vis[M]; int linker[M]; int to[M],nxt[M]; int head[M],tot; int n, m; void addedge(int u, int v) { ++tot; to[tot] = v; nxt[tot] = head[u]; head[u] = tot; } bool dfs(int u) { for(int i = head[u]; ~i; i = nxt[i]) { int v = to[i]; if
(!vis[v]) { vis[v] = 1; if(linker[v]==-1 || dfs(linker[v])) { linker[v] = u; return 1; } } } return 0; } int hungary() { int ret = 0; memset(linker, -1, sizeof(linker)); for(int i = 1; i <= R; ++i) { memset
(vis, 0, sizeof(vis)); if(dfs(i)) ++ret; } return ret; } int main() { while(~scanf("%d %d", &n, &m)) { memset(row, 0, sizeof(row)); memset(col, 0, sizeof(col)); memset(head, -1, sizeof(head)); tot = -1; R = C = 0; for(int i = 1; i <= n; ++i) for(int j = 1; j <= m; ++j) { cin >> a[i][j]; if(a[i][j]=='*') { if(row[i][j-1]) row[i][j] = row[i][j-1]; else row[i][j] = ++R; if(col[i-1][j]) col[i][j] = col[i-1][j]; else col[i][j] = ++C; } } for(int i = 1; i <= n; ++i) for(int j = 1; j <= m; ++j) if(a[i][j]=='*') addedge(row[i][j], col[i][j]); printf("%d\n", hungary()); } return 0; }