Submission #1210994

#TimeUsernameProblemLanguageResultExecution timeMemory
1210994madamadam3Port Facility (JOI17_port_facility)C++20
22 / 100
6088 ms32840 KiB
#include <bits/stdc++.h>

using namespace std;

#define int long long int

const int MAXN = 1'000'001;
const int MOD = 1'000'000'007;
int n;

int A[MAXN], B[MAXN];

int modexp(int a, int p) {
    if (p == 0) return 1;
    if (p == 1) return a;

    int ans = modexp(a, p / 2);
    ans %= MOD;

    ans *= ans;
    ans %= MOD;

    if (p % 2 == 1) ans *= a;
    ans %= MOD;

    return ans % MOD;
}

void solve() {
    int ways = 0;
    vector<vector<int>> adj(n, vector<int>());
    for (int i = 0; i < n; i++) {
        for (int j = i+1; j < n; j++) {
            int ci = i, cj = j;
            if (A[ci] > A[cj]) swap(ci, cj);
            if (A[ci] < A[cj] && A[cj] < B[ci] && B[ci] < B[cj]) {
                adj[ci].push_back(cj);
                adj[cj].push_back(ci);
            }
        }
    }

    int cmps = 0; bool bipartite = true;
    vector<int> colour(n, -1);
    queue<int> q;

    for (int i = 0; i < n; i++) {
        if (colour[i] != -1 || !bipartite) continue;
        cmps++;

        q.push(i);
        colour[i] = 1;

        while (!q.empty()) {
            int cur = q.front();
            q.pop();

            for (auto &el : adj[cur]) {
                if (colour[el] == colour[cur]) {
                    bipartite = false;
                    break;
                } else if (colour[el] == -1) {
                    colour[el] = colour[cur] == 1 ? 2 : 1;
                    q.push(el);
                }
            }

            if (!bipartite) break;
        }
    }

    ways = bipartite ? modexp(2, cmps) % MOD : 0;
    cout << ways;
}

signed main() {
    cin.tie(0)->sync_with_stdio(0);
    
    cin >> n;
    for (int i = 0; i < n; i++) {
        cin >> A[i] >> B[i];
    }

    solve();
    return 0;
}
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