QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#622806#5307. Subgraph Isomorphismarthur_9548WA 166ms3736kbC++203.0kb2024-10-09 06:08:472024-10-09 06:08:47

Judging History

This is the latest submission verdict.

  • [2024-10-09 06:08:47]
  • Judged
  • Verdict: WA
  • Time: 166ms
  • Memory: 3736kb
  • [2024-10-09 06:08:47]
  • Submitted

answer

#include <bits/stdc++.h>

#define ll long long
#define endl '\n'
#define pb push_back
#define eb emplace_back
#define rep(i,a,b) for(int i=(int)(a); i < (int)(b);i++)
#define all(x) (x).begin(), (x).end()
#define debug(x) cout << #x << ": " << x << endl
#define esp ' '
#define pii pair<int,int>
#define vi vector<int>
#define sz(x) ((int)(x).size())

using namespace std;

constexpr int oo = 0x3f3f3f3f3f3f3f3f;
constexpr int M = 23785125;
constexpr int mxI = 1000;
constexpr int MOD1 = 24126471;
constexpr int MOD2 = 92412146;

struct DSU {
	vi p, rnk;
	DSU(int n) : p(n), rnk(n,0) {
		iota(all(p),0);
	}

	int find(int x) {
		return p[x] == x ? x : p[x]=find(p[x]);
	}

	bool merge(int a, int b) {
		a=find(a);
		b=find(b);
		if (a == b) return false;
		if (rnk[a] > rnk[b]) swap(a,b);

		rnk[b] += rnk[a]==rnk[b];
		p[a]=b;
		return true;
	}
};

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void solve() {
	int n,m;cin>>n>>m;
	vector<pair<int,int>> edges(m);
	uniform_int_distribution<int> rnum(0, n-1);


	rep(i,0,m) {
		int a,b;cin>>a>>b;a--;b--;
		edges[i]={a,b};
	}

	if (m == n-1) {
		cout << "YES\n";
		return;
	}


	auto hash=[&](auto self, vector<vi>& g, int a, int p=-1) -> ll{
		vi sons;	
		for (auto b : g[a]) if (b != p) {
			sons.pb(self(self, g, b, a));
		}
		sort(all(sons));

		ll po=1;
		ll ans=7241264 % MOD1;
		for (auto x : sons) {
			ans += (po * x) % MOD1;	
			ans %= MOD1;
			po *= M;
			po %= MOD1;
		}
		return ans;
	};
	auto hash2=[&](auto self, vector<vi>& g, int a, int p=-1) -> ll{
		vi sons;	
		for (auto b : g[a]) if (b != p) {
			sons.pb(self(self, g, b, a));
		}
		sort(all(sons));

		ll po=1;
		ll ans=124128 % MOD2;
		for (auto x : sons) {
			ans += (po * x) % MOD2;	
			ans %= MOD2;
			po *= M;
			po %= MOD2;
		}
		return ans;
	};

	auto test=[&](vector<vi>& g) {
		vi szs(n,0), ps(n);
		auto dfs1=[&](auto self, int a, int p) -> void{
			ps[a] = p;
			szs[a] = 1;
			for (auto b : g[a]) if (b != p) {
				self(self, b, a);
				szs[a] += szs[b];
			}
		};
		dfs1(dfs1, 0,-1);

		auto ctrd=[&](int a) {
			if (2*(n - szs[a]) > n) return false;			
			for (auto b : g[a]) if (b != ps[a]) {
				if (2*szs[b] > n) return false;
			}
			return true;
		};
		vi ctrds;
		rep(a,0,n) {
			if (ctrd(a)) ctrds.pb(a);	
		}

		vector<ll> ans;
		for (auto x : ctrds) ans.eb(hash(hash, g, x)^(hash2(hash2,g,x) << 31));
		return ans;
	};

	auto is_eq = [&](vector<ll> a, vector<ll> b) {
		if (sz(a) != sz(b)) return false;
		sort(all(a));
		sort(all(b));
		return a == b;
	};

	auto dfstree=[&](int a, vector<vi>& tree) {
		DSU dsu(n);
		tree.assign(n, vi());
		shuffle(all(edges), rng);

		for (auto [a,b] : edges) {
			if (!dsu.merge(a,b)) continue;
			tree[a].pb(b);
			tree[b].pb(a);
		}
	};
	
	vector<vi> tree(n);
	dfstree(0, tree);

	auto hashs = test(tree);
	rep(_, 1, mxI) {
		dfstree(rnum(rng), tree);
		auto hashc = test(tree);
		if (!is_eq(hashc, hashs)) {
			cout << "NO\n";
			return;
		}
	}
	cout << "YES\n";
}

signed main() {
	ios_base::sync_with_stdio(0);cin.tie(0);

	int t=1;
	cin>>t;
	while(t--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3660kb

input:

4
7 6
1 2
2 3
3 4
4 5
5 6
3 7
3 3
1 2
2 3
3 1
5 5
1 2
2 3
3 4
4 1
1 5
1 0

output:

YES
YES
NO
YES

result:

ok 4 token(s): yes count is 3, no count is 1

Test #2:

score: 0
Accepted
time: 153ms
memory: 3616kb

input:

33192
2 1
1 2
3 2
1 3
2 3
3 3
1 2
1 3
2 3
4 3
1 4
2 4
3 4
4 3
1 3
1 4
2 4
4 4
1 3
1 4
2 4
3 4
4 4
1 3
1 4
2 3
2 4
4 5
1 3
1 4
2 3
2 4
3 4
4 6
1 2
1 3
1 4
2 3
2 4
3 4
5 4
1 5
2 5
3 5
4 5
5 4
1 4
1 5
2 5
3 5
5 5
1 4
1 5
2 5
3 5
4 5
5 5
1 4
1 5
2 4
3 5
4 5
5 5
1 4
1 5
2 4
2 5
3 5
5 6
1 4
1 5
2 4
2 5
3 ...

output:

YES
YES
YES
YES
YES
NO
YES
NO
NO
YES
YES
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
YES
YES
NO
YES
YES
NO
NO
NO
YES
NO
NO
NO
NO
NO
YES
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO...

result:

ok 33192 token(s): yes count is 58, no count is 33134

Test #3:

score: 0
Accepted
time: 166ms
memory: 3668kb

input:

40000
9 24
1 4
1 6
1 7
1 9
2 5
2 7
2 8
2 9
3 5
3 7
3 8
3 9
4 6
4 8
4 9
5 6
5 8
5 9
6 7
6 8
6 9
7 8
7 9
8 9
9 21
1 4
1 6
1 7
1 8
2 5
2 7
2 8
2 9
3 5
3 7
3 9
4 6
4 8
4 9
5 6
5 9
6 7
6 8
6 9
7 8
8 9
9 21
1 4
1 6
1 7
1 8
2 5
2 7
2 8
2 9
3 5
3 7
3 9
4 6
4 8
4 9
5 6
5 9
6 7
6 8
6 9
7 8
7 9
9 22
1 4
1 6
1 ...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

ok 40000 token(s): yes count is 0, no count is 40000

Test #4:

score: 0
Accepted
time: 160ms
memory: 3672kb

input:

40000
9 16
1 4
1 6
1 8
1 9
2 5
2 7
2 8
2 9
3 6
3 7
4 7
5 8
6 9
7 8
7 9
8 9
9 16
1 4
1 6
1 8
1 9
2 5
2 7
2 8
2 9
3 6
3 7
4 7
5 8
5 9
7 8
7 9
8 9
9 16
1 4
1 6
1 8
1 9
2 5
2 7
2 8
2 9
3 6
3 7
4 7
5 8
5 9
6 9
7 8
8 9
9 16
1 4
1 6
1 8
1 9
2 5
2 7
2 8
2 9
3 6
3 7
4 7
5 8
5 9
6 9
7 8
7 9
9 17
1 4
1 6
1 8
1...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

ok 40000 token(s): yes count is 0, no count is 40000

Test #5:

score: 0
Accepted
time: 164ms
memory: 3736kb

input:

40000
9 17
1 5
1 6
1 7
1 8
2 5
2 7
2 9
3 6
3 8
3 9
4 7
4 8
4 9
5 7
5 8
5 9
6 9
9 18
1 5
1 6
1 7
1 8
2 5
2 7
2 9
3 6
3 8
3 9
4 7
4 8
4 9
5 7
5 8
5 9
6 9
8 9
9 18
1 5
1 6
1 7
1 8
2 5
2 7
2 9
3 6
3 8
3 9
4 7
4 8
4 9
5 7
5 8
5 9
6 9
7 9
9 19
1 5
1 6
1 7
1 8
2 5
2 7
2 9
3 6
3 8
3 9
4 7
4 8
4 9
5 7
5 8
5 ...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

ok 40000 token(s): yes count is 0, no count is 40000

Test #6:

score: 0
Accepted
time: 163ms
memory: 3616kb

input:

40000
9 17
1 5
1 6
1 7
1 8
2 6
2 7
2 8
2 9
3 7
3 9
4 9
5 8
6 7
6 8
6 9
7 9
8 9
9 16
1 5
1 6
1 7
1 8
2 6
2 7
2 8
2 9
3 7
3 9
4 9
5 8
5 9
6 7
6 8
8 9
9 16
1 5
1 6
1 7
1 8
2 6
2 7
2 8
2 9
3 7
3 9
4 9
5 8
5 9
6 7
6 8
7 9
9 17
1 5
1 6
1 7
1 8
2 6
2 7
2 8
2 9
3 7
3 9
4 9
5 8
5 9
6 7
6 8
7 9
8 9
9 17
1 5
1...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

ok 40000 token(s): yes count is 0, no count is 40000

Test #7:

score: 0
Accepted
time: 158ms
memory: 3604kb

input:

40000
9 15
1 5
1 8
1 9
2 6
2 7
2 9
3 6
3 7
4 7
4 8
4 9
5 8
6 9
7 9
8 9
9 13
1 5
1 8
1 9
2 6
2 7
2 9
3 6
3 7
4 7
4 8
4 9
5 8
5 9
9 14
1 5
1 8
1 9
2 6
2 7
2 9
3 6
3 7
4 7
4 8
4 9
5 8
5 9
8 9
9 14
1 5
1 8
1 9
2 6
2 7
2 9
3 6
3 7
4 7
4 8
4 9
5 8
5 9
7 9
9 15
1 5
1 8
1 9
2 6
2 7
2 9
3 6
3 7
4 7
4 8
4 9
5...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

ok 40000 token(s): yes count is 1, no count is 39999

Test #8:

score: -100
Wrong Answer
time: 156ms
memory: 3616kb

input:

40000
9 8
1 9
2 9
3 9
4 9
5 9
6 9
7 9
8 9
9 8
1 8
1 9
2 9
3 9
4 9
5 9
6 9
7 9
9 9
1 8
1 9
2 9
3 9
4 9
5 9
6 9
7 9
8 9
9 8
1 8
2 8
3 9
4 9
5 9
6 9
7 9
8 9
9 8
1 8
1 9
2 8
3 9
4 9
5 9
6 9
7 9
9 9
1 8
1 9
2 8
3 9
4 9
5 9
6 9
7 9
8 9
9 9
1 8
1 9
2 8
2 9
3 9
4 9
5 9
6 9
7 9
9 10
1 8
1 9
2 8
2 9
3 9
4 9
5...

output:

YES
YES
NO
YES
YES
NO
NO
NO
YES
YES
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
YES
NO
YES
NO
NO
NO
NO
NO
NO
NO
YES
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
YES
YES
NO
NO
...

result:

wrong answer expected NO, found YES [93rd token]