POJ 1548 Robots
题意:乍一看还以为是小白上那题dp,事实上不是,就是求一共几个机器人能够覆盖全部路径
思路:最小路径覆盖问题。一个点假设在还有一个点右下方,就建边。然后跑最小路径覆盖就可以
代码:
#include#include #include #include using namespace std;const int N = 25 * 25;int x[N], y[N], cnt = 1;vector g[N];bool judge(int i, int j) { return x[j] >= x[i] && y[j] >= y[i];}int left[N], vis[N];bool dfs(int u) { for (int i = 0; i < g[u].size(); i++) { int v = g[u][i]; if (vis[v]) continue; vis[v] = 1; if (left[v] == -1 || dfs(left[v])) { left[v] = u; return true; } } return false;}int hungary() { int ans = 0; memset(left, -1, sizeof(left)); for (int i = 0; i < cnt; i++) { memset(vis, 0, sizeof(vis)); if (dfs(i)) ans++; } return ans;}int main() { while (~scanf("%d%d", &x[0], &y[0])) { if (x[0] == -1 && y[0] == -1) break; while (~scanf("%d%d", &x[cnt], &y[cnt])) { if (x[cnt] == 0 && y[cnt] == 0) break; cnt++; } for (int i = 0; i < cnt; i++) { g[i].clear(); for (int j = 0; j < i; j++) { if (judge(i, j)) g[i].push_back(j); if (judge(j, i)) g[j].push_back(i); } } printf("%d\n", cnt - hungary()); cnt = 1; } return 0;}