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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#622775 | #5307. Subgraph Isomorphism | arthur_9548 | WA | 211ms | 3692kb | C++20 | 2.7kb | 2024-10-09 05:13:17 | 2024-10-09 05:13:19 |
Judging History
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 = 600;
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
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3692kb
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: 211ms
memory: 3676kb
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]