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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#643067 | #9420. Find Yourself | ucup-team004 | WA | 243ms | 14112kb | C++23 | 5.2kb | 2024-10-15 18:33:08 | 2024-10-15 18:33:09 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
using u64 = unsigned long long;
using u32 = unsigned;
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 (cyc.empty()) {
std::cout << "YES\n";
return;
}
if (cyc.size() > 2) {
std::cout << "NO\n";
return;
}
for (auto &a : cyc) {
if (a.size() != 4) {
std::cout << "NO\n";
return;
}
}
for (auto c : cyc) {
int c1 = 0;
int c2 = 0;
for (auto x : c) {
if (adj[x].size() > 2) {
c1++;
}
int cnt = 0;
for (auto y : adj[x]) {
if (adj[y].size() >= 2) {
cnt++;
}
}
if (cnt > 2) {
c2++;
}
}
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;
while (T--) {
solve();
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3628kb
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: 3572kb
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: 3632kb
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: 236ms
memory: 7428kb
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: 229ms
memory: 7584kb
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: 243ms
memory: 14112kb
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 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 NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO 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 NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO ...
result:
wrong answer expected YES, found NO [12th token]