POJ 3207 Ikki's Story IV - Panda's Trick(2-sat)
POJ 3207 Ikki's Story IV - Panda's Trick
题意:一个圆上顺序n个点,然后有m组连线,连接两点,要求这两点能够往圆内或圆外。问能否构造出使得满足全部线段不相交
思路:2-sat,推断相交的建边,一个在内。一个在外,然后跑一下2-sat就可以
代码:
#include <cstdio> #include <cstring> #include <cstdlib> #include <vector> #include <algorithm> using namespace std; const int MAXNODE = 2005; struct TwoSet { int n; vector<int> g[MAXNODE * 2]; bool mark[MAXNODE * 2]; int S[MAXNODE * 2], sn; void init(int tot) { n = tot * 2; for (int i = 0; i < n; i += 2) { g[i].clear(); g[i^1].clear(); } memset(mark, false, sizeof(mark)); } void add_Edge(int u, int uval, int v, int vval) { u = u * 2 + uval; v = v * 2 + vval; g[u^1].push_back(v); g[v^1].push_back(u); } void delete_Edge(int u, int uval, int v, int vval) { u = u * 2 + uval; v = v * 2 + vval; g[u^1].pop_back(); g[v^1].pop_back(); } bool dfs(int u) { if (mark[u^1]) return false; if (mark[u]) return true; mark[u] = true; S[sn++] = u; for (int i = 0; i < g[u].size(); i++) { int v = g[u][i]; if (!dfs(v)) return false; } return true; } bool solve() { for (int i = 0; i < n; i += 2) { if (!mark[i] && !mark[i + 1]) { sn = 0; if (!dfs(i)){ for (int j = 0; j < sn; j++) mark[S[j]] = false; sn = 0; if (!dfs(i + 1)) return false; } } } return true; } } gao; const int N = 505; int n, m, l[N], r[N]; int main() { while (~scanf("%d%d", &n, &m)) { gao.init(m); for (int i = 0; i < m; i++) { scanf("%d%d", &l[i], &r[i]); if (l[i] > r[i]) swap(l[i], r[i]); for (int j = 0; j < i; j++) { if ((l[i] > l[j] && l[i] < r[j] && r[j] > l[i] && r[j] < r[i]) || (r[i] > l[j] && r[i] < r[j] && l[j] > l[i] && r[j] < r[i])) { gao.add_Edge(i, 0, j, 0); gao.add_Edge(i, 1, j, 1); } } } printf("%s\n", gao.solve() ? "panda is telling the truth..." : "the evil panda is lying again"); } return 0; }