結果

問題 No.1023 Cyclic Tour
ユーザー Y17Y17
提出日時 2020-04-10 23:31:59
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 4,289 bytes
コンパイル時間 2,535 ms
コンパイル使用メモリ 183,132 KB
実行使用メモリ 48,952 KB
最終ジャッジ日時 2023-10-14 07:26:08
合計ジャッジ時間 16,944 ms
ジャッジサーバーID
(参考情報)
judge15 / judge13
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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
5,424 KB
testcase_01 AC 2 ms
5,476 KB
testcase_02 AC 2 ms
5,416 KB
testcase_03 AC 2 ms
5,536 KB
testcase_04 AC 226 ms
36,828 KB
testcase_05 AC 155 ms
22,140 KB
testcase_06 AC 169 ms
22,740 KB
testcase_07 AC 150 ms
22,320 KB
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 AC 184 ms
41,660 KB
testcase_12 AC 161 ms
41,320 KB
testcase_13 AC 145 ms
39,412 KB
testcase_14 WA -
testcase_15 AC 145 ms
39,716 KB
testcase_16 WA -
testcase_17 AC 264 ms
44,840 KB
testcase_18 WA -
testcase_19 AC 267 ms
42,104 KB
testcase_20 AC 311 ms
42,056 KB
testcase_21 AC 330 ms
43,336 KB
testcase_22 AC 304 ms
46,008 KB
testcase_23 AC 296 ms
46,156 KB
testcase_24 AC 309 ms
48,596 KB
testcase_25 WA -
testcase_26 AC 307 ms
42,124 KB
testcase_27 AC 305 ms
40,128 KB
testcase_28 WA -
testcase_29 WA -
testcase_30 WA -
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 WA -
testcase_35 WA -
testcase_36 AC 319 ms
43,624 KB
testcase_37 AC 288 ms
45,936 KB
testcase_38 AC 237 ms
44,876 KB
testcase_39 AC 288 ms
45,264 KB
testcase_40 WA -
testcase_41 WA -
testcase_42 WA -
testcase_43 WA -
testcase_44 AC 229 ms
38,212 KB
testcase_45 AC 170 ms
47,580 KB
testcase_46 AC 172 ms
44,196 KB
testcase_47 AC 248 ms
48,000 KB
testcase_48 AC 237 ms
44,644 KB
testcase_49 AC 227 ms
44,708 KB
testcase_50 AC 223 ms
45,004 KB
testcase_51 WA -
testcase_52 WA -
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 <bits/stdc++.h>
using namespace std;

#define int long long
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
using UnWeightedGraph = vector< vector< int > >;

template< typename G >
struct StronglyConnectedComponents {
  const G &g;
  UnWeightedGraph gg, rg;
  vector< int > comp, order, used;

  StronglyConnectedComponents(G &g) : g(g), gg(g.size()), rg(g.size()), comp(g.size(), -1), used(g.size()) {
    for(int i = 0; i < g.size(); i++) {
      for(auto e : g[i]) {
        gg[i].emplace_back((int) e);
        rg[(int) e].emplace_back(i);
      }
    }
  }

  int operator[](int k) {
    return comp[k];
  }

  void dfs(int idx) {
    if(used[idx]) return;
    used[idx] = true;
    for(int to : gg[idx]) dfs(to);
    order.push_back(idx);
  }

  void rdfs(int idx, int cnt) {
    if(comp[idx] != -1) return;
    comp[idx] = cnt;
    for(int to : rg[idx]) rdfs(to, cnt);
  }

  void build(UnWeightedGraph &t) {
    for(int i = 0; i < gg.size(); i++) dfs(i);
    reverse(begin(order), end(order));
    int ptr = 0;
    for(int i : order) if(comp[i] == -1) rdfs(i, ptr), ptr++;

    t.resize(ptr);
    for(int i = 0; i < g.size(); i++) {
      for(auto &to : g[i]) {
        int x = comp[i], y = comp[to];
        if(x == y) continue;
        t[x].push_back(y);
      }
    }
  }
};

template< typename G >
struct LowLink {
  const G &g;
  vector< int > used, ord, low;
  vector< int > articulation;
  vector< pair< int, int > > bridge;
 
  LowLink(const G &g) : g(g) {}
 
  int dfs(int idx, int k, int par) {
    used[idx] = true;
    ord[idx] = k++;
    low[idx] = ord[idx];
    bool is_articulation = false;
    int cnt = 0;
    for(auto &to : g[idx]) {
      if(!used[to]) {
        ++cnt;
        k = dfs(to, k, idx);
        low[idx] = min(low[idx], low[to]);
        is_articulation |= ~par && low[to] >= ord[idx];
        if(ord[idx] < low[to]) bridge.emplace_back(minmax(idx, (int) to));
      } else if(to != par) {
        low[idx] = min(low[idx], ord[to]);
      }
    }
    is_articulation |= par == -1 && cnt > 1;
    if(is_articulation) articulation.push_back(idx);
    return k;
  }
 
  virtual void build() {
    used.assign(g.size(), 0);
    ord.assign(g.size(), 0);
    low.assign(g.size(), 0);
    int k = 0;
    for(int i = 0; i < g.size(); i++) {
      if(!used[i]) k = dfs(i, k, -1);
    }
  }
};
template< typename G >
struct TwoEdgeConnectedComponents : LowLink< G > {
  using LL = LowLink< G >;
  vector< int > comp;
 
  TwoEdgeConnectedComponents(const G &g) : LL(g) {}
 
  int operator[](const int &k) {
    return comp[k];
  }
 
  void dfs(int idx, int par, int &k) {
    if(~par && this->ord[par] >= this->low[idx]) comp[idx] = comp[par];
    else comp[idx] = k++;
    for(auto &to : this->g[idx]) {
      if(comp[to] == -1) dfs(to, idx, k);
    }
  }
 
  void build(UnWeightedGraph &t) {
    LL::build();
    comp.assign(this->g.size(), -1);
    int k = 0;
    for(int i = 0; i < comp.size(); i++) {
      if(comp[i] == -1) dfs(i, -1, k);
    }
    t.resize(k);
    for(auto &e : this->bridge) {
      int x = comp[e.first], y = comp[e.second];
      t[x].push_back(y);
      t[y].push_back(x);
    }
  }
};
int a[200010];
int b[200010];
int c[200010]; 

signed main(){
	int n, m;
	cin >> n >> m;
	UnWeightedGraph graph(n);

	for(int i = 0;i < m;i++){
		cin >> a[i] >> b[i] >> c[i];
		a[i]--; b[i]--;
		if(c[i] == 1){
			graph[a[i]].push_back(b[i]);
			graph[b[i]].push_back(a[i]);
		}
	}

	TwoEdgeConnectedComponents<UnWeightedGraph> x(graph);
	UnWeightedGraph tmp, tmp2, tmp3;
	x.build(tmp);

	for(int i = 1;i < n;i++){
		if(x[0] == x[i]){
			cout << "Yes" << endl;
			return 0;
		}
	}

	StronglyConnectedComponents<UnWeightedGraph> scc(graph);
	scc.build(tmp2);

	for(int i = 0;i < m;i++){
		if(c[i] == 2 && scc[a[i]] != scc[b[i]]){
			tmp2[scc[a[i]]].push_back(scc[b[i]]);
		}else if(c[i] == 2 && scc[0] == scc[a[i]] && scc[0] == scc[b[i]]){
			cout << "Yes" << endl;
			return 0;
		}
	}

	StronglyConnectedComponents<UnWeightedGraph> scc2(tmp2);
	scc2.build(tmp3);

	for(int i = 1;i < tmp2.size();i++){
		if(scc2[0] == scc2[i]){
			cout << "Yes" << endl;
			return 0;
		}
	}

	cout << "No" << endl;

	return 0;
}
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