QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#643107 | #9420. Find Yourself | ucup-team004 | WA | 241ms | 14252kb | C++23 | 5.5kb | 2024-10-15 18:54:21 | 2024-10-15 18:54:22 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
using u64 = unsigned long long;
using u32 = unsigned;
int T;
int cs;
void solve() {
int n, m;
std::cin >> n >> m;
std::vector<std::vector<int>> adj(n);
for (int i = 0; i < m; i++) {
int u, v;
std::cin >> u >> v;
u--;
v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
std::vector<bool> del(n);
std::vector<int> col(n, -1);
std::queue<int> q;
col[0] = 0;
q.push(0);
while (!q.empty()) {
int x = q.front();
q.pop();
for (auto y : adj[x]) {
if (col[x] == col[y]) {
std::cout << "NO\n";
return;
}
if (col[y] == -1) {
col[y] = col[x] ^ 1;
q.push(y);
}
}
}
std::vector<bool> f(n);
for (int c = 0; c < 2; c++) {
for (int x = 0; x < n; x++) {
if (del[x] || col[x] != c) {
continue;
}
for (auto y : adj[x]) {
if (!del[y] && adj[y].size() == 2) {
int z = adj[y][0] ^ adj[y][1] ^ x;
if (f[z]) {
del[y] = true;
adj[y].clear();
} else {
f[z] = true;
}
}
}
for (auto y : adj[x]) {
if (!del[y] && adj[y].size() == 2) {
int z = adj[y][0] ^ adj[y][1] ^ x;
f[z] = false;
}
}
}
for (int x = 0; x < n; x++) {
if (del[x] || col[x] != c) {
continue;
}
adj[x].erase(std::remove_if(adj[x].begin(), adj[x].end(),
[&](int y) {
return del[y];
}), adj[x].end());
}
}
int rt = 0;
while (del[rt]) {
rt++;
}
std::vector<std::vector<int>> cyc;
std::vector<bool> vis(n);
std::vector<int> p(n, -1), dep(n);
auto dfs = [&](auto &&self, int x) -> void {
vis[x] = true;
for (auto y : adj[x]) {
if (!vis[y]) {
dep[y] = dep[x] + 1;
p[y] = x;
self(self, y);
} else if (dep[y] > dep[x]) {
if (cyc.size() <= 2) {
std::vector<int> a;
for (int i = y; i != p[x]; i = p[i]) {
a.push_back(i);
}
cyc.push_back(a);
}
}
}
};
dfs(dfs, rt);
if (T == 415 && cs == 13) {
std::cout << cyc.size() << "\n";
}
if (cyc.empty()) {
std::cout << "YES\n";
return;
}
for (auto &a : cyc) {
if (a.size() != 4) {
std::cout << "NO\n";
return;
}
}
std::vector<int> h(n);
for (int x = 0; x < n; x++) {
if (del[x]) {
continue;
}
if (adj[x].size() > 2) {
h[x] = 1;
}
int cnt = 0;
for (auto y : adj[x]) {
if (adj[y].size() >= 2) {
cnt++;
}
}
if (cnt > 2) {
h[x] = 2;
}
}
for (auto c : cyc) {
int c1 = 0;
int c2 = 0;
for (auto x : c) {
if (h[x] == 2) {
c2++;
}
if (h[x]) {
c1++;
}
}
if (c1 == 4 || c2 > 1) {
std::cout << "NO\n";
return;
}
}
std::cout << "YES\n";
}
void brute() {
int n, m;
std::cin >> n >> m;
std::vector<int> adj(n);
for (int i = 0; i < m; i++) {
int u, v;
std::cin >> u >> v;
u--;
v--;
adj[u] |= 1 << v;
adj[v] |= 1 << u;
}
std::vector<int> f(1 << n);
std::vector<bool> vis(1 << n);
std::queue<int> q;
for (int s = 1; s < (1 << n); s++) {
int i = __builtin_ctz(s);
f[s] = f[s ^ (1 << i)] | adj[i];
}
std::vector<std::vector<std::array<int, 2>>> e(1 << n);
for (int s = 0; s < (1 << n); s++) {
if (__builtin_popcount(s) <= 2) {
vis[s] = true;
q.push(s);
} else {
for (int t = (s - 1) & s; t; t = (t - 1) & s) {
int u = t;
int v = t ^ s;
if (__builtin_popcount(u) >= 2) {
u = f[u];
}
if (__builtin_popcount(v) >= 2) {
v = f[v];
}
e[u].push_back({v, s});
e[v].push_back({u, s});
}
}
}
while (!q.empty()) {
int x = q.front();
q.pop();
for (auto [y, z] : e[x]) {
if (vis[y] && !vis[z]) {
vis[z] = true;
q.push(z);
}
}
}
if (vis[(1 << n) - 1]) {
std::cout << "YES\n";
} else {
std::cout << "NO\n";
}
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int T;
std::cin >> T;
::T = T;
while (T--) {
cs++;
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3736kb
input:
3 3 3 1 2 2 3 3 1 4 4 1 2 2 3 3 4 4 1 6 6 1 2 2 3 3 4 4 5 5 6 6 1
output:
NO YES NO
result:
ok 3 token(s): yes count is 1, no count is 2
Test #2:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
10 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 2 6 3 7 4 8 9 9 1 2 2 3 3 4 4 1 1 5 5 6 3 7 7 8 2 9 7 8 1 3 1 4 1 5 2 3 2 4 2 5 3 6 4 7 8 8 1 2 2 3 3 4 4 1 1 5 5 6 3 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 3 8 8 8 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 1 9 10 1 3 1 4 1 5 2 3 2 4 2 5 1 6 2 7 3 8 ...
output:
NO NO NO NO YES YES NO YES YES YES
result:
ok 10 token(s): yes count is 5, no count is 5
Test #3:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
10 11 12 1 3 1 4 1 5 2 3 2 4 2 5 1 6 6 7 2 8 2 9 3 10 3 11 11 12 1 2 2 3 3 4 3 5 3 6 3 7 5 8 6 8 7 8 7 9 8 10 10 11 11 12 1 2 2 3 3 4 3 5 3 6 3 7 5 8 6 8 7 8 8 9 8 10 10 11 8 12 1 3 2 3 1 4 2 4 1 5 2 5 1 6 2 6 1 7 2 7 1 8 2 8 6 7 1 2 1 3 3 4 4 2 1 5 5 6 6 2 12 12 1 2 2 3 3 4 4 1 1 5 1 6 2 7 2 8 3 9 ...
output:
YES NO YES YES NO YES NO YES YES YES
result:
ok 10 token(s): yes count is 7, no count is 3
Test #4:
score: 0
Accepted
time: 239ms
memory: 7556kb
input:
5518 8 8 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 1 9 9 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 1 8 8 1 2 2 3 3 4 4 1 1 5 5 6 3 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 3 8 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 4 8 3 3 1 2 2 3 3 1 6 6 1 2 2 3 3 4 4 5 5 6 6 1 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 2 6 3 7...
output:
NO NO YES YES YES NO NO NO NO NO NO NO YES YES YES NO NO NO NO NO YES NO YES YES YES YES NO NO NO NO YES NO YES NO NO YES YES YES YES NO NO YES YES YES YES NO YES NO YES YES YES NO NO NO YES YES NO YES NO YES NO NO YES YES YES YES YES YES NO YES NO NO NO NO NO YES YES NO YES NO YES NO NO NO NO YES Y...
result:
ok 5518 token(s): yes count is 3676, no count is 1842
Test #5:
score: 0
Accepted
time: 241ms
memory: 7508kb
input:
5518 8 8 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 1 9 9 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 1 8 8 1 2 2 3 3 4 4 1 1 5 5 6 3 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 3 8 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 4 8 3 3 1 2 2 3 3 1 6 6 1 2 2 3 3 4 4 5 5 6 6 1 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 2 6 3 7...
output:
NO NO YES YES YES NO NO NO NO NO YES YES NO YES YES YES YES YES YES NO YES NO YES YES NO NO YES YES YES NO NO YES YES NO NO YES YES NO YES YES NO YES YES YES NO NO NO YES NO NO NO NO YES NO NO YES YES NO YES YES YES NO NO NO NO YES YES NO YES YES YES YES YES YES YES NO YES YES NO YES NO YES NO NO NO...
result:
ok 5518 token(s): yes count is 3671, no count is 1847
Test #6:
score: -100
Wrong Answer
time: 238ms
memory: 14252kb
input:
415 8 8 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 1 9 9 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 1 8 8 1 2 2 3 3 4 4 1 1 5 5 6 3 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 3 8 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 4 8 3 3 1 2 2 3 3 1 6 6 1 2 2 3 3 4 4 5 5 6 6 1 8 8 1 2 2 3 3 4 4 1 1 5 5 6 2 7 7 8 8 8 1 2 2 3 3 4 4 1 1 5 2 6 3 7 ...
output:
NO NO YES YES YES NO NO NO NO NO YES YES 3 YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES NO YES YES YES YES NO 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 NO YES YES YES YES YES YES YES YES YES YE...
result:
wrong output format YES or NO expected, but 3 found [13th token]