結果

問題 No.1865 Make Cycle
ユーザー tokusakurai
提出日時 2022-03-04 21:40:24
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 759 ms / 3,000 ms
コード長 5,036 bytes
コンパイル時間 2,552 ms
コンパイル使用メモリ 207,448 KB
最終ジャッジ日時 2025-01-28 04:58:49
ジャッジサーバーID
(参考情報)
judge1 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 20
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < n; i++)
#define rep2(i, x, n) for (int i = x; i <= n; i++)
#define rep3(i, x, n) for (int i = x; i >= n; i--)
#define each(e, v) for (auto &e : v)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
template <typename T>
bool chmax(T &x, const T &y) {
return (x < y) ? (x = y, true) : false;
}
template <typename T>
bool chmin(T &x, const T &y) {
return (x > y) ? (x = y, true) : false;
}
template <typename T>
int flg(T x, int i) {
return (x >> i) & 1;
}
template <typename T>
void print(const vector<T> &v, T x = 0) {
int n = v.size();
for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
if (v.empty()) cout << '\n';
}
template <typename T>
void printn(const vector<T> &v, T x = 0) {
int n = v.size();
for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}
template <typename T>
int lb(const vector<T> &v, T x) {
return lower_bound(begin(v), end(v), x) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, T x) {
return upper_bound(begin(v), end(v), x) - begin(v);
}
template <typename T>
void rearrange(vector<T> &v) {
sort(begin(v), end(v));
v.erase(unique(begin(v), end(v)), end(v));
}
template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
int n = v.size();
vector<int> ret(n);
iota(begin(ret), end(ret), 0);
sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
return ret;
}
template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
return make_pair(p.first + q.first, p.second + q.second);
}
template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
return make_pair(p.first - q.first, p.second - q.second);
}
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
S a;
T b;
is >> a >> b;
p = make_pair(a, b);
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
return os << p.first << ' ' << p.second;
}
struct io_setup {
io_setup() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout << fixed << setprecision(15);
}
} io_setup;
const int inf = (1 << 30) - 1;
const ll INF = (1LL << 60) - 1;
const int MOD = 1000000007;
// const int MOD = 998244353;
template <bool directed = true>
struct Graph {
struct edge {
int to, id;
edge(int to, int id) : to(to), id(id) {}
};
vector<vector<edge>> es;
const int n;
int m;
Graph(int n) : es(n), n(n), m(0) {}
void add_edge(int from, int to) {
es[from].emplace_back(to, m);
if (!directed) es[to].emplace_back(from, m);
m++;
}
};
template <bool directed = true>
struct Strongly_Connected_Components {
struct edge {
int to, id;
edge(int to, int id) : to(to), id(id) {}
};
vector<vector<edge>> es, rs;
vector<int> vs;
vector<int> comp;
const int n;
int m;
Strongly_Connected_Components(int n) : es(n), rs(n), comp(n), n(n), m(0) {}
void add_edge(int from, int to) {
es[from].emplace_back(to, m), rs[to].emplace_back(from, m);
if (!directed) es[to].emplace_back(from, m), rs[from].emplace_back(to, m);
m++;
}
void _dfs(int now) {
if (comp[now] != -1) return;
comp[now] = 1;
for (auto &e : es[now]) _dfs(e.to);
vs.push_back(now);
}
void _rdfs(int now, int col) {
if (comp[now] != -1) return;
comp[now] = col;
for (auto &e : rs[now]) _rdfs(e.to, col);
}
Graph<true> decompose() {
fill(begin(comp), end(comp), -1);
for (int i = 0; i < n; i++) {
if (comp[i] == -1) _dfs(i);
}
fill(begin(comp), end(comp), -1);
reverse(begin(vs), end(vs));
int cnt = 0;
for (auto &e : vs) {
if (comp[e] == -1) _rdfs(e, cnt++);
}
Graph<true> G(cnt);
for (int i = 0; i < n; i++) {
for (auto &e : es[i]) {
int u = comp[i], v = comp[e.to];
if (u != v) G.add_edge(u, v);
}
}
return G;
}
int operator[](int k) const { return comp[k]; }
};
int main() {
int N, Q;
cin >> N >> Q;
vector<int> u(Q), v(Q);
rep(i, Q) {
cin >> u[i] >> v[i];
u[i]--, v[i]--;
}
int l = -1, r = Q;
while (r - l > 1) {
int m = (l + r) / 2;
Strongly_Connected_Components G(N);
rep(i, m + 1) G.add_edge(u[i], v[i]);
int K = G.decompose().n;
(K == N ? l : r) = m;
}
cout << (r == Q ? -1 : r + 1) << '\n';
}
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