結果

問題 No.1553 Lovely City
ユーザー bond_cmprogbond_cmprog
提出日時 2021-06-19 19:49:29
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 477 ms / 2,000 ms
コード長 13,146 bytes
コンパイル時間 2,870 ms
コンパイル使用メモリ 227,800 KB
実行使用メモリ 49,724 KB
最終ジャッジ日時 2024-06-22 22:19:03
合計ジャッジ時間 13,961 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 5 ms
8,824 KB
testcase_03 AC 3 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 3 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 311 ms
32,444 KB
testcase_09 AC 334 ms
33,900 KB
testcase_10 AC 314 ms
36,660 KB
testcase_11 AC 240 ms
29,284 KB
testcase_12 AC 326 ms
35,688 KB
testcase_13 AC 276 ms
28,716 KB
testcase_14 AC 320 ms
32,964 KB
testcase_15 AC 262 ms
31,276 KB
testcase_16 AC 355 ms
35,756 KB
testcase_17 AC 237 ms
28,636 KB
testcase_18 AC 464 ms
49,724 KB
testcase_19 AC 453 ms
49,652 KB
testcase_20 AC 462 ms
49,660 KB
testcase_21 AC 477 ms
49,464 KB
testcase_22 AC 468 ms
49,340 KB
testcase_23 AC 468 ms
49,648 KB
testcase_24 AC 455 ms
49,644 KB
testcase_25 AC 464 ms
49,524 KB
testcase_26 AC 451 ms
49,420 KB
testcase_27 AC 455 ms
49,432 KB
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 # 

#include <stdio.h>
#include <bits/stdc++.h>
// #include <boost/multiprecision/cpp_int.hpp>
// using Bint = boost::multiprecision::cpp_int;
#define REP(i, n) for(int i = 0;i < n;i++)
#define ll long long
using namespace std;
typedef pair<int, int> P;
typedef pair<ll,ll> LP;
const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1};
const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1};
const int INF = 1000000000;
const ll LINF = 1000000000000000000;//1e18
const double PI = acos(-1.0);
const double EPS = 1e-10;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
inline constexpr ll ceil_div(const ll a, const ll b) {return (a + b - 1) / b - !!((a + b - 1) % b < 0);}// return ceil(a/b)
inline constexpr ll floor_div(const ll a, const ll b) {return a / b - !!(a % b < 0);}// return floor(a/b)

/*  ----------------------- DEBUG FUNCTION ---------------------------- */
#define DUMPOUT cerr
void dump_function() { DUMPOUT << ' '; }
void dump_function(bool a) { DUMPOUT << a; }
void dump_function(int a) { DUMPOUT << a; }
void dump_function(long long a) { DUMPOUT << a; }
void dump_function(char a) { DUMPOUT << a; }
void dump_function(string &a) { DUMPOUT << a; }
void dump_function(double a) { DUMPOUT << a; }
template <class T> void dump_function(const vector<T> &);
template <class T, size_t size> void dump_function(const array<T, size> &);
template <class T, class L> void dump_function(const pair<T, L> &p);
template <class T, size_t size> void dump_function(const T (&)[size]);
template <class T> void dump_function(const vector<T> &a) {
    if(a.empty()) return;
    dump_function(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        DUMPOUT << " ";
        dump_function(*i);
    }
    DUMPOUT << endl;
}
template <class T> void dump_function(const deque<T> &a) {
    if(a.empty()) return;
    dump_function(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        DUMPOUT << " ";
        dump_function(*i);
    }
}
template <class T, size_t size> void dump_function(const array<T, size> &a) {
    dump_function(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        DUMPOUT << " ";
        dump_function(*i);
    }
}
template <class T, class L> void dump_function(const pair<T, L> &p) {
    DUMPOUT << '(';
    dump_function(p.first);
    DUMPOUT << ",";
    dump_function(p.second);
    DUMPOUT << ')';
}
template <class T> void dump_function(set<T> &x) {
    for(auto e : x) dump_function(e), DUMPOUT << " ";
    DUMPOUT << endl;
}
template <class T> void dump_function(multiset<T> &x) {
    for(auto e : x) dump_function(e), DUMPOUT << " ";
    DUMPOUT << endl;
}
template <class T, size_t size> void dump_function(const T (&a)[size]) {
    dump_function(a[0]);
    for(auto i = a; ++i != end(a);) {
        DUMPOUT << " ";
        dump_function(*i);
    }
}
template <class T> void dump_function(const T &a) { DUMPOUT << a; }
int dump_out() {
    DUMPOUT << '\n';
    return 0;
}
template <class T> int dump_out(const T &t) {
    dump_function(t);
    DUMPOUT << '\n';
    return 0;
}
template <class Head, class... Tail> int dump_out(const Head &head, const Tail &... tail) {
    dump_function(head);
    DUMPOUT << ' ';
    dump_out(tail...);
    return 0;
}

#ifdef DEBUG_
#define dump(x)                                                                                                                                               \
    DUMPOUT << #x << ": ";                                                                                                                                        \
    dump_function(x);                                                                                                                                                  \
    DUMPOUT << endl;
void dumps() {}
template <class T> void dumps(const T &t) {
    dump_function(t);
    DUMPOUT << " ";
}
template <class Head, class... Tail> void dumps(const Head &head, const Tail &... tail) {
    dump_function(head);
    DUMPOUT << ' ';
    dump_out(tail...);
}
#else
#define dump(x)
template <class... T> void dumps(const T &...) {}
#endif
/*  ----------------------- DEBUG FUNCTION ---------------------------- */

template<int MOD> struct Fp {
    long long val;
    constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
        if (val < 0) val += MOD;
    }
    constexpr int getmod() const { return MOD; }
    constexpr Fp operator - () const noexcept {
        return val ? MOD - val : 0;
    }
    constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
    constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
    constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
    constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
    constexpr Fp& operator += (const Fp& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Fp& operator -= (const Fp& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Fp& operator *= (const Fp& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Fp& operator /= (const Fp& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator == (const Fp& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator != (const Fp& r) const noexcept {
        return this->val != r.val;
    }
    friend constexpr istream& operator >> (istream& is, Fp<MOD>& x) noexcept {
        is >> x.val;
        x.val %= MOD;
        if (x.val < 0) x.val += MOD;
        return is;
    }
    friend constexpr ostream& operator << (ostream& os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD>& r, long long n) noexcept {
        if (n == 0) return 1;
        auto t = modpow(r, n / 2);
        t = t * t;
        if (n & 1) t = t * r;
        return t;
    }
    friend constexpr Fp<MOD> modinv(const Fp<MOD>& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        return Fp<MOD>(u);
    }
};


template<class T> struct BiCoef {
    vector<T> fact_, inv_, finv_;
    constexpr BiCoef() {}
    constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
        init(n);
    }
    constexpr void init(int n) noexcept {
        fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
        int MOD = fact_[0].getmod();
        for(int i = 2; i < n; i++){
            fact_[i] = fact_[i-1] * i;
            inv_[i] = -inv_[MOD%i] * (MOD/i);
            finv_[i] = finv_[i-1] * inv_[i];
        }
    }
    constexpr T nCr(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        int MOD = fact_[0].getmod();
        if(n < MOD) return fact_[n] * finv_[k] * finv_[n-k];

        // Lucasの定理
        T ret = 1;
        while(n || k){
            int _n = n % MOD, _k = k % MOD;
            n /= MOD;
            k /= MOD;
            ret *= nCr(_n, _k);
        }
        return ret;
    }
    constexpr T nPr(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[n-k];
    }
    constexpr T nHr(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[n-k];
    }
    constexpr T fact(int n) const noexcept {
        if (n < 0) return 0;
        return fact_[n];
    }
    constexpr T inv(int n) const noexcept {
        if (n < 0) return 0;
        return inv_[n];
    }
    constexpr T finv(int n) const noexcept {
        if (n < 0) return 0;
        return finv_[n];
    }
};

/* ----------------------------- MOD ----------------------------------- */
const int MOD = 1000000007;
const int MOD2 = 998244353;
using mint = Fp<MOD>;
BiCoef<mint> bc;
// using vec = vector<int>;
// using mat = vector<vec>;
/* ----------------------------- MOD ----------------------------------- */

/*  ----------------------- AtCoder Library ---------------------------- */
// #include <atcoder/all>
// using namespace atcoder;
/*  ----------------------- AtCoder Library ---------------------------- */

//UnionFind
struct UnionFind {
    vector<int> par;

    UnionFind(int n) : par(n, -1) { }
    void init(int n) { par.assign(n, -1); }

    int root(int x) {
        if (par[x] < 0) return x;
        else return par[x] = root(par[x]);
    }

    bool issame(int x, int y) {
        return root(x) == root(y);
    }

    bool unite(int x, int y) {
        x = root(x); y = root(y);
        if (x == y) return false;
        if (par[x] > par[y]) swap(x, y); // merge technique
        par[x] += par[y];
        par[y] = x;
        return true;
    }

    int size(int x) {
        return -par[root(x)];
    }
};

class StronglyConnectedComponents{
    int nodeNum;
    int size;
public:
    vector<vector<int>> edge,revEdge;
    vector<vector<int>> graph;
    vector<int> label,visited,order;
    // 帰りがけ順に番号を振っていく
    void dfs(int cur){
        visited[cur] = 1;
        for(int next:edge[cur]) if(!visited[next]) dfs(next);
        order.push_back(cur);
    }
    // 通ることが出来た頂点に番号を振っていく
    void revDfs(int cur,int labelId){
        visited[cur] = 1;
        label[cur] = labelId;
        for(int next:revEdge[cur]) if(!visited[next]) revDfs(next,labelId);
    }

	StronglyConnectedComponents(const int& nodeNum) :
    nodeNum(nodeNum), edge(nodeNum), revEdge(nodeNum), label(nodeNum), visited(nodeNum) {}

    void make_edge(const int from,const int to) {
        edge[from].push_back(to);
        revEdge[to].push_back(from);
    }

    void solve(void) {
        for(int i = 0; i < nodeNum; ++i) visited[i] = 0;
        for(int i = 0; i < nodeNum; ++i) if(!visited[i]) dfs(i);
        for(int i = 0; i < nodeNum; ++i) visited[i] = 0;
        reverse(order.begin(),order.end());
        int labelId = 0;
        for(int i:order) if(!visited[i]) revDfs(i,labelId++);
        size = labelId;
        make_graph();
    }

    // 強連結成分で縮約したグラフを作る
    void make_graph(){
        graph.resize(size);
        for(int i = 0; i < edge.size(); i++){
            for(auto to : edge[i]){
                if(getLabel(i) == getLabel(to)) continue;
                graph[getLabel(i)].push_back(getLabel(to));
            }
        }
    }

    vector<vector<int>> topological_sort(void){
        vector<vector<int>> ret(size);
        for(int i = 0; i < nodeNum; i++) ret[label[i]].emplace_back(i);
        return ret;
    }

    void print(void) {
        for(auto labelId:label) cout << labelId << " ";
        cout << endl;
    }
    // vが属している強連結成分のラベル（トポロジカル順序）
    int getLabel(int v){
        return label[v];
    }

    int getSize(){
        return size;
    }
};

template<typename T>
struct Compress {
	vector<T> v;
	Compress() {}
	Compress(vector<T> _v) :v(_v) { build(); }

	void add(T x) {
		v.emplace_back(x);
	}

	void build() {
		sort(v.begin(), v.end());
		v.erase(unique(v.begin(), v.end()), v.end());
	}
	void build(vector<T> _v) {
		v = _v;
		sort(v.begin(), v.end());
		v.erase(unique(v.begin(), v.end()), v.end());
	}
	int get(T x) {
		return lower_bound(v.begin(), v.end(), x) - v.begin();
	}

	T& operator[](int i) { return v[i]; }


	int size() {
		return (int)v.size();
	}
};


void solve(){
    int N, M;
    cin >> N >> M;
    UnionFind uf(N);
    vector<int> U(M), V(M);
    REP(i,M){
        cin >> U[i] >> V[i];
        --U[i], --V[i];
        uf.unite(U[i], V[i]);
    }
    vector<vector<pair<int, int>>> v(N);
    REP(i,M){
        int num = uf.root(U[i]);
        v[num].emplace_back(U[i], V[i]);
    }
    vector<pair<int, int>> ans;
    REP(i,N) if(!v[i].empty()){
        Compress<int> cmp;
        for(auto [u, v] : v[i]){
            cmp.add(u);
            cmp.add(v);
        }
        cmp.build();
        int sz = cmp.size();
        StronglyConnectedComponents scc(sz);
        for(auto [u, v] : v[i]){
            scc.make_edge(cmp.get(u), cmp.get(v));
        }
        scc.solve();
        auto topo = scc.topological_sort();
        if(scc.getSize() == sz){
            REP(i,sz-1) ans.emplace_back(cmp[topo[i].front()], cmp[topo[i+1].front()]);
        }
        else{
            REP(i,sz) ans.emplace_back(cmp[i], cmp[(i+1)%sz]);
        }
    }
    cout << ans.size() << endl;
    for(auto [u, v] : ans) cout << u+1 << " " << v+1 << endl;
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    solve();
    // int T; cin >> T; REP(t,T) solve();
}
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