제출 #727599

#제출 시각아이디문제언어결과실행 시간메모리
727599qwerasdfzxclPort Facility (JOI17_port_facility)C++17
100 / 100
1048 ms210648 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; constexpr int MOD = 1e9+7; pair<int, int> operator + (const pair<int, int> &x, const pair<int, int> &y){return pair<int, int>(x.first + y.first, x.second + y.second);} pair<int, int> operator - (const pair<int, int> &x, const pair<int, int> &y){return pair<int, int>(x.first - y.first, x.second - y.second);} struct Seg{ pair<int, int> tree[2002000]; int sz; void init(int n){sz = n;} void update(int p, int x){ pair<int, int> v(1, x); while(p<=sz){ tree[p] = tree[p] + v; p += p&-p; } } pair<int, int> sum(int p){ pair<int, int> ret(0, 0); while(p){ ret = ret + tree[p]; p -= p&-p; } return ret; } int query(int l, int r){ auto p = sum(r) - sum(l-1); if (p.second==0 && p.first) return 1; else if (p.second==0) return -2; if (p.second==p.first) return 0; return -1; } }tree; struct DSU{ int path[2002000], R[2002000], c; void init(int n){c = n; for (int i=1;i<=n;i++) path[i] = R[i] = i;} int find(int s){ if (s==path[s]) return s; return path[s] = find(path[s]); } void merge(int s, int v){ s = find(s), v = find(v); if (s==v) return; --c; path[s] = v; R[v] = max(R[v], R[s]); } int r(int x){return R[find(x)];} }dsu; vector<int> adj[2002000]; int a[2002000], visited[2002000], col[2002000]; ll pw(ll a, ll e){ if (!e) return 1; ll ret = pw(a, e/2); if (e&1) return ret * ret % MOD * a % MOD; return ret * ret % MOD; } void dfs(int s, int pa = 0){ col[a[s]] = col[s]; visited[s] = 1; for (auto &v:adj[s]) if (v!=pa){ col[v] = col[s] ^ 1; dfs(v, s); } } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; tree.init(n*2); dsu.init(n*2); for (int i=1;i<=n;i++){ int x, y; cin >> x >> y; a[x] = y; a[y] = x; dsu.merge(x, y); } vector<int> st; for (int i=1;i<=n*2;i++){ while(!st.empty() && st.back() < i) st.pop_back(); if (i < a[i]){ st.push_back(a[i]); } else{ int R = dsu.r(i); while(!st.empty() && st.back() != R){ dsu.merge(i, st.back()); adj[i].push_back(st.back()); adj[st.back()].push_back(i); st.pop_back(); } st.back() = dsu.r(i); } assert(st.back()==dsu.r(i)); } for (int i=1;i<=n*2;i++) if (a[i] < i && !visited[i]) dfs(i); for (int i=1;i<=n*2;i++) if (i < a[i]){ int tmp = tree.query(i, a[i]); if (tmp!=col[i] && tmp!=-2){ printf("0\n"); return 0; } tree.update(a[i], col[i]); } printf("%lld\n", pw(2, dsu.c)); }
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