QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#505248 | #5745. Graph Isomorphism | chimera | WA | 98ms | 3584kb | C++14 | 1.8kb | 2024-08-04 23:28:30 | 2024-08-04 23:28:30 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
int main() {
ll T; cin >> T;
for(ll t = 0; t < T; t++) {
ll N, M; cin >> N >> M;
vector<vector<ll>> adj(N);
for(ll i = 0; i < M; i++) {
ll U,V; cin >> U >> V; U--;V--;
adj[U].push_back(V); adj[V].push_back(U);
}
if(N <= 3) {
cout << "YES\n"; continue;
}
// complete graph: always fail.
if(M == (N*(N+1))/2 || M == 0) {
cout << "YES\n"; continue;
}
map<ll,ll> counts;
for(ll i = 0; i < N; i++) counts[adj[i].size()]++;
bool star = (counts[1]== N-1);
bool clique = (counts[N-2]== N-1);
if(star || clique) {
cout << "NO\n"; continue;
}
// if there is a vertex with degree in the range [2..N-2], now always possible; (N-1 choose 2) > N
if(N > 5) {
// in big graphs even if all vertices are small, there are enough matchings.
cout << "NO\n"; continue;
}
vector<vector<pair<ll,ll>>> results;
vector<ll> permu;
for(ll i = 0; i < N; i++) permu.push_back(i);
do {
vector<pair<ll,ll>> ed;
for(ll i = 0; i < N; i++) {
for(auto a: adj[i]) {
ed.push_back({permu[i], permu[a]});
}
}
sort(ed.begin(), ed.end());
bool contained = false; for(auto r: results) if(r == ed) contained = true;
if(!contained) results.push_back(ed);
} while(next_permutation(permu.begin(), permu.end()));
if(results.size() > N) cout << "NO\n";
else cout << "YES\n";
}
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3584kb
input:
3 3 3 1 2 2 3 3 1 3 2 1 2 2 3 5 5 1 2 2 3 3 4 4 5 5 1
output:
YES YES NO
result:
ok 3 token(s): yes count is 2, no count is 1
Test #2:
score: 0
Accepted
time: 29ms
memory: 3568kb
input:
39982 3 2 2 1 3 2 2 1 1 2 2 1 2 1 3 3 3 1 2 3 1 2 2 1 1 2 3 3 3 1 3 2 2 1 2 1 1 2 3 2 1 2 3 1 3 3 2 1 3 1 2 3 2 1 1 2 3 2 2 1 3 2 3 3 2 3 3 1 2 1 3 3 2 1 1 3 2 3 3 3 3 1 3 2 1 2 2 1 2 1 2 1 2 1 3 1 3 1 2 1 2 1 2 1 1 2 3 2 1 3 3 2 3 2 1 2 1 3 3 2 3 2 1 3 2 1 1 2 3 2 3 2 3 1 3 3 2 3 3 1 1 2 2 1 1 2 3 ...
output:
YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES ...
result:
ok 39982 token(s): yes count is 39982, no count is 0
Test #3:
score: -100
Wrong Answer
time: 98ms
memory: 3552kb
input:
33365 3 3 3 1 2 3 2 1 2 1 2 1 4 6 1 2 3 4 4 2 2 3 3 1 4 1 2 1 1 2 2 1 1 2 4 5 1 4 1 2 4 2 3 4 1 3 4 3 4 2 2 1 1 3 3 1 3 2 4 3 1 3 1 2 3 4 3 3 3 2 3 1 2 1 3 1 2 3 3 1 1 3 3 1 2 1 3 2 1 3 3 2 4 5 3 1 4 2 3 4 2 3 2 1 4 2 1 2 3 2 2 1 2 1 3 2 1 2 2 3 3 1 3 2 4 1 3 4 3 1 2 1 4 3 1 2 4 2 3 2 2 1 2 1 4 5 3 ...
output:
YES YES YES YES YES NO NO YES NO YES YES YES YES YES NO NO YES YES YES NO YES NO YES NO YES YES YES YES YES YES YES YES NO NO YES YES YES YES NO NO NO YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES NO YES NO YES YES YES NO YES YES NO YES NO YES NO YES YES YES YES NO YES YES YES YES YES Y...
result:
wrong answer expected YES, found NO [22nd token]