#1163866 (C++23) No.3539 Parentheses Square

• 問題: No.3539 Parentheses Square
• ユーザー: HoyHoyCharhang
• 提出日時: 2026-05-08 22:31:29
• 言語: C++23 (gcc 15.2.0 + boost 1.89.0)
• 結果: TLE
• 実行時間: -
• コード長: 4,417 bytes
• コンパイル時間: 3,941 ms
• コンパイル使用メモリ: 366,184 KB
• 実行使用メモリ: 11,552 KB
• 最終ジャッジ日時: 2026-05-08 22:32:09
• 合計ジャッジ時間: 10,104 ms
• ジャッジサーバーID （参考情報）: judge2_1 / judge1_1

ファイルパターン	結果
sample	AC * 3
other	AC * 6 TLE * 1 -- * 34

ソースコード

#include <bits/stdc++.h>
#define fi first
#define se second
#define rep(i,s,n) for (int i = (s); i < (n); ++i)
#define rrep(i,g,n) for (int i = (n)-1; i >= (g); --i)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define len(x) (int)(x).size()
#define dup(x,y) (((x)+(y)-1)/(y))
#define pb push_back
#define eb emplace_back
#define Field(T) vector<vector<T>>
using namespace std;
using ll = long long;
using ull = unsigned long long;
template<typename T> using pq = priority_queue<T,vector<T>,greater<T>>;
using P = pair<int,int>;
template<class T>bool chmax(T&a,T b){if(a<b){a=b;return 1;}return 0;}
template<class T>bool chmin(T&a,T b){if(b<a){a=b;return 1;}return 0;}

template <typename T>
struct MaxFlow {
  struct edge {
    int to;
    T cap;
    int rev;
    bool is_rev;
  };

  vector<vector<edge>> G;
  vector<int> dist, iter;

  MaxFlow() = default;
  explicit MaxFlow(int n) : G(n) {}

  void add_edge(int from, int to, T cap = 1) {
    G[from].emplace_back(edge{to, cap, (int)G[to].size(), 0});
    G[to].emplace_back(edge{from, 0, (int)G[from].size()-1, 1});
  }

  void debug() {
    for (int i = 0; i < (int)G.size(); ++i) {
      for (edge &e : G[i]) {
        if (e.is_rev) continue;
        edge &rev_e = G[e.to][e.rev];
        cout << i << " -> " << e.to << " : " << "(" << rev_e.cap << "/" << e.cap + rev_e.cap << ")" << endl;
      }
    }
  }

  void bfs(const int &s) {
    dist.assign(G.size(), -1);
    dist[s] = 0;
    queue<int> que;
    que.push(s);
    while(!que.empty()) {
      int v = que.front();
      que.pop();
      for (edge &e : G[v]) {
        if (e.cap == 0 || dist[e.to] >= 0) continue;
        dist[e.to] = dist[v] + 1;
        que.push(e.to);
      }
    }
  }

  T dfs(int v, const int &t, T f) {
    if (v == t) return f;
    T ret = 0;
    for (int& i = iter[v]; i < (int)G[v].size(); ++i) {
      edge& e = G[v][i];
      if (e.cap == 0 || dist[v] >= dist[e.to]) continue;
      T d = dfs(e.to, t, min(f - ret, e.cap));
      if (d == 0) continue;
      e.cap -= d;
      G[e.to][e.rev].cap += d;
      ret += d;
      if (f == ret) break;
    }
    return ret;
  }

  T flow(int s, int t, T f_limit = numeric_limits<T>::max()) {
    T ret = 0;
    queue<int> que;
    while(true) {
      bfs(s);
      if (dist[t] == -1) break;
      iter.assign(G.size(), 0);
      while(ret < f_limit) {
        T f = dfs(s, t, f_limit - ret);
        if (f == 0) break;
        ret += f;
      }
    }
    return ret;
  }

  vector<bool> min_cut(int s) {
    vector<bool> used(G.size(), 0);
    used[s] = 1;
    queue<int> que;
    que.push(s);
    while(!que.empty()) {
      int v = que.front();
      que.pop();
      for (edge &e : G[v]) {
        if (e.cap > 0 && !used[e.to]) {
          used[e.to] = 1;
          que.push(e.to);
        }
      }
    }
    return used;
  }
};

int main() {
  int n;
  cin >> n;
  vector<string> t(n);
  rep(i,0,n) cin >> t[i];
  function<void(vector<string>&, string&, string&, int, int, int)> f = [&](vector<string> &v, string &s, string &t, int idx, int val, int cnt) {
    if (len(v) > n+1) return;
    if (idx == n) {
      v.eb(s);
      return;
    }
    if (t[idx] == '(' || t[idx] == '.') {
      if (cnt < n/2) {
        s[idx] = '(';
        f(v, s, t, idx+1, val+1, cnt+1);
        s[idx] = '.';
      }
    }
    if (t[idx] == ')' || t[idx] == '.') {
      if (idx-cnt < n/2 && val > 0) {
        s[idx] = ')';
        f(v, s, t, idx+1, val-1, cnt);
        s[idx] = '.';
      }
    }
  };
  vector<vector<string>> u(n);
  string s(n, '.');
  rep(i,0,n) f(u[i], s, t[i], 0, 0, 0);
  // rep(i,0,n) {
  //   for (string v : u[i]) cout << v << endl;
  //   cout << endl;
  // }
  vector<string> x;
  map<string,int> mp;
  rep(i,0,n) {
    for (string &v : u[i]) {
      x.eb(v);
    }
  }
  sort(all(x));
  x.erase(unique(all(x)), x.end());
  rep(i,0,len(x)) mp[x[i]] = i;
  // for (auto [v, cnt] : mp) {
  //   cout << v << " " << cnt << endl;
  // }
  MaxFlow<int> mf(n+len(mp)+2);
  rep(i,0,n) {
    mf.add_edge(n+len(mp), i);
    for (string &v : u[i]) {
      mf.add_edge(i, n+mp[v], 1);
    }
  }
  rep(j,0,len(mp)) mf.add_edge(n+j, n+len(mp)+1);
  if (mf.flow(n+len(mp), n+len(mp)+1) < n) {
    cout << -1 << endl;
    return 0;
  }
  rep(i,0,n) {
    for (auto &e : mf.G[i]) {
      if (e.is_rev) continue;
      if (e.cap == 0) {
        cout << x[e.to-n] << endl;
      }
    }
  }
  return 0;
}