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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#622801#5307. Subgraph Isomorphismarthur_9548WA 181ms3864kbC++203.0kb2024-10-09 06:06:262024-10-09 06:06:28

Judging History

你现在查看的是最新测评结果

  • [2024-10-09 06:06:28]
  • 评测
  • 测评结果:WA
  • 用时:181ms
  • 内存:3864kb
  • [2024-10-09 06:06:26]
  • 提交

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 = 30;
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: 1ms
memory: 3664kb

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: 143ms
memory: 3568kb

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: 181ms
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: 175ms
memory: 3740kb

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: 165ms
memory: 3864kb

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: 161ms
memory: 3668kb

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: 153ms
memory: 3672kb

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: 151ms
memory: 3624kb

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]