#899844 (C++17) No.1023 Cyclic Tour

提出ソース

結果

問題	No.1023 Cyclic Tour
ユーザー	heno239
提出日時	2023-08-09 21:24:53
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	231 ms / 2,000 ms
コード長	8,437 bytes
コンパイル時間	3,085 ms
コンパイル使用メモリ	176,508 KB
実行使用メモリ	39,072 KB
最終ジャッジ日時	2024-04-27 15:51:24
合計ジャッジ時間	13,894 ms
ジャッジサーバーID （参考情報）	judge2 / judge5

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	21 ms 11,720 KB
testcase_01	AC	22 ms 11,904 KB
testcase_02	AC	22 ms 11,776 KB
testcase_03	AC	22 ms 11,776 KB
testcase_04	AC	50 ms 13,384 KB
testcase_05	AC	49 ms 13,384 KB
testcase_06	AC	54 ms 13,568 KB
testcase_07	AC	48 ms 13,512 KB
testcase_08	AC	78 ms 25,544 KB
testcase_09	AC	118 ms 29,848 KB
testcase_10	AC	121 ms 29,956 KB
testcase_11	AC	137 ms 31,060 KB
testcase_12	AC	150 ms 32,784 KB
testcase_13	AC	150 ms 31,468 KB
testcase_14	AC	144 ms 31,296 KB
testcase_15	AC	153 ms 31,644 KB
testcase_16	AC	208 ms 33,340 KB
testcase_17	AC	214 ms 33,244 KB
testcase_18	AC	192 ms 31,372 KB
testcase_19	AC	180 ms 31,424 KB
testcase_20	AC	103 ms 28,792 KB
testcase_21	AC	105 ms 29,324 KB
testcase_22	AC	151 ms 30,892 KB
testcase_23	AC	161 ms 31,152 KB
testcase_24	AC	223 ms 33,996 KB
testcase_25	AC	105 ms 28,976 KB
testcase_26	AC	103 ms 28,484 KB
testcase_27	AC	99 ms 27,676 KB
testcase_28	AC	231 ms 33,116 KB
testcase_29	AC	210 ms 33,964 KB
testcase_30	AC	193 ms 33,436 KB
testcase_31	AC	171 ms 32,560 KB
testcase_32	AC	174 ms 32,460 KB
testcase_33	AC	172 ms 33,172 KB
testcase_34	AC	66 ms 14,536 KB
testcase_35	AC	70 ms 14,664 KB
testcase_36	AC	118 ms 29,616 KB
testcase_37	AC	149 ms 31,656 KB
testcase_38	AC	201 ms 32,800 KB
testcase_39	AC	158 ms 31,156 KB
testcase_40	AC	162 ms 31,504 KB
testcase_41	AC	162 ms 31,336 KB
testcase_42	AC	82 ms 24,904 KB
testcase_43	AC	96 ms 26,440 KB
testcase_44	AC	66 ms 26,428 KB
testcase_45	AC	150 ms 39,072 KB
testcase_46	AC	114 ms 33,692 KB
testcase_47	AC	67 ms 26,828 KB
testcase_48	AC	97 ms 29,624 KB
testcase_49	AC	98 ms 29,624 KB
testcase_50	AC	99 ms 29,296 KB
testcase_51	AC	78 ms 24,600 KB
testcase_52	AC	79 ms 25,136 KB

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ソースコード

raw source code

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
//ll mod = 1;
//constexpr ll mod = 998244353;
constexpr ll mod = 1000000007;
const int mod17 = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;

#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;

using ld = double;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
const ld pi = acosl(-1.0);

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
vector<T> vmerge(vector<T>& a, vector<T>& b) {
	vector<T> res;
	int ida = 0, idb = 0;
	while (ida < a.size() || idb < b.size()) {
		if (idb == b.size()) {
			res.push_back(a[ida]); ida++;
		}
		else if (ida == a.size()) {
			res.push_back(b[idb]); idb++;
		}
		else {
			if (a[ida] < b[idb]) {
				res.push_back(a[ida]); ida++;
			}
			else {
				res.push_back(b[idb]); idb++;
			}
		}
	}
	return res;
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	//if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
//mod should be <2^31
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}
template<typename T>
void addv(vector<T>& v, int loc, T val) {
	if (loc >= v.size())v.resize(loc + 1, 0);
	v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
	fill(isp + 2, isp + mn, true);
	for (int i = 2; i < mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j < mn; j += i) {
			isp[j] = false;
		}
	}
}*/

//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	if (res == st.begin())return st.end();
	res--; return res;
}

//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
	return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
	a = a + b; return a;
}
mP operator-(mP a, mP b) {
	return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
	a = a - b; return a;
}
LP operator+(LP a, LP b) {
	return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
	a = a + b; return a;
}
LP operator-(LP a, LP b) {
	return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
	a = a - b; return a;
}

mt19937 mt(time(0));

const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
//int dx[4] = { 1,0,-1,0 };
//int dy[4] = { 0,1,0,-1 };

//------------------------------------

struct graph {
private:
	int n;
	vector<vector<int>> G, rG;
	vector<bool> used;
	vector<int> vs;

	int mk;
	vector<vector<int>> fG;
	vector<vector<int>> ori;
	vector<int> trans;
public:
	graph(int sz) {
		n = sz;
		G.resize(n);
		rG.resize(n);
		used.resize(n);

		fG.resize(n);
		trans.resize(n, -1);
		ori.resize(n);
	}
	void add_edge(int a, int b) {
		G[a].push_back(b);
		rG[b].push_back(a);
	}
	void dfs(int v) {
		used[v] = true;
		rep(i, G[v].size()) {
			if (!used[G[v][i]])dfs(G[v][i]);
		}
		vs.push_back(v);
	}
	void rdfs(int v, int k) {
		used[v] = true;
		queue<int> q; q.push(v);
		vector<int> c;
		while (!q.empty()) {
			int id = q.front(); q.pop();
			ori[k].push_back(id);
			rep(j, rG[id].size()) {
				int to = rG[id][j];
				if (used[to]) {
					if (trans[to] >= 0)c.push_back(trans[to]);
					continue;
				}
				used[to] = true; q.push(to);
			}
		}
		sort(c.begin(), c.end());
		int len = unique(c.begin(), c.end()) - c.begin();
		rep(i, len) {
			fG[c[i]].push_back(k);
		}
		rep(i, ori[k].size()) {
			trans[ori[k][i]] = k;
		}
	}
	void scc() {
		fill(used.begin(), used.end(), false);
		rep(i, n) {
			if (!used[i])dfs(i);
		}
		fill(used.begin(), used.end(), false);
		int k = 0;
		per(i, (int)vs.size()) {
			if (!used[vs[i]]) {
				rdfs(vs[i], k); k++;
			}
		}
		mk = k;
	}
	//0->false,1->true
	vector<int> two_sat(int n) {
		rep(i, n) {
			if (trans[i] == trans[i + n])return {};
		}
		vector<int> res(n);
		vector<bool> used(n);
		vector<bool> isok(mk);
		per(i, mk) {
			isok[i] = true;
			for (int to : fG[i])if (!isok[to])isok[i] = false;
			for (int id : ori[i]) {
				if (used[id % n])isok[i] = false;
			}
			if (isok[i]) {
				for (int id : ori[i]) {
					used[id % n] = true;
					res[id % n] = id / n;
				}
			}
		}
		return res;
	}
	bool query() {
		return mk == G.size();
	}
};
struct uf {
private:
	vector<int> par, ran;
public:
	uf(int n) {
		par.resize(n, 0);
		ran.resize(n, 0);
		rep(i, n) {
			par[i] = i;
		}
	}
	int find(int x) {
		if (par[x] == x)return x;
		else return par[x] = find(par[x]);
	}
	void unite(int x, int y) {
		x = find(x), y = find(y);
		if (x == y)return;
		if (ran[x] < ran[y]) {
			par[x] = y;
		}
		else {
			par[y] = x;
			if (ran[x] == ran[y])ran[x]++;
		}
	}
	bool same(int x, int y) {
		return find(x) == find(y);
	}
};

void solve() {
	int n, m; cin >> n >> m;
	vector<int> a(m), b(m), c(m);
	rep(i, m) {
		cin >> a[i] >> b[i] >> c[i]; a[i]--; b[i]--;
	}
	uf u(n);
	rep(i, m) {
		if (c[i] == 1) {
			if (u.same(a[i], b[i])) {
				cout << "Yes\n"; return;
			}
			u.unite(a[i], b[i]);
		}
	}
	graph g(n);
	rep(i, m) {
		if (c[i] == 2) {
			int le = u.find(a[i]);
			int ri = u.find(b[i]);
			if (le == ri) {
				cout << "Yes\n"; return;
			}
			g.add_edge(le, ri);
		}
	}
	g.scc();
	if (g.query()) {
		cout << "No\n";
	}
	else {
		cout << "Yes\n";
	}
}




signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed<<setprecision(10);
	init_f();
	//init();
	//init2();
	//while(true)
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}

yukicoder

結果

テストケース

ソースコード