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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#622774#5307. Subgraph Isomorphismarthur_9548WA 190ms3648kbC++202.7kb2024-10-09 05:12:102024-10-09 05:12:12

Judging History

This is the latest submission verdict.

  • [2024-10-09 05:12:12]
  • Judged
  • Verdict: WA
  • Time: 190ms
  • Memory: 3648kb
  • [2024-10-09 05:12:10]
  • Submitted

answer

#include <bits/stdc++.h>

#define int 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 = 60;

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;
	}
};

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

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

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


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

		int po=M;
		int ans=1274126;
		for (auto x : sons) {
			ans += po * x;	
			po *= M;
		}
		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);	
		}
		assert(1 <= sz(ctrds));
		assert(sz(ctrds) <= 2);

		vi ans;
		for (auto x : ctrds) ans.pb(hash(hash, g, x));
		return ans;
	};

	auto is_eq = [&](vi a, vi 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);

//	debug("tree");
//	rep(a,0,n) {
//		for (auto b : g[a]) {
//			cout << a << ' ' << b << endl;
//		}
//	}
	
	auto hashs = test(tree);
	rep(_, 1, mxI) {
		//debug(_);
		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

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Test #1:

score: 100
Accepted
time: 1ms
memory: 3604kb

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: -100
Wrong Answer
time: 190ms
memory: 3648kb

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

result:

wrong answer expected NO, found YES [12th token]