QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#622801 | #5307. Subgraph Isomorphism | arthur_9548 | WA | 181ms | 3864kb | C++20 | 3.0kb | 2024-10-09 06:06:26 | 2024-10-09 06:06:28 |
Judging History
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]