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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#267730 | #5423. Perfect Matching | jrjyy# | ML | 0ms | 3536kb | C++20 | 2.2kb | 2023-11-27 17:28:51 | 2023-11-27 17:28:51 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
void solve() {
int n;
std::cin >> n;
std::vector<int> a(n);
for (int i = 0; i < n; ++i) {
std::cin >> a[i];
}
int cnt = n;
std::vector<std::vector<int>> adj(n);
std::map<int, int> mp;
for (int i = 0; i < n; ++i) {
int x = a[i] + i;
if (!mp.count(x)) {
mp[x] = cnt++;
adj.emplace_back();
}
adj[i].push_back(mp[x]);
adj[mp[x]].push_back(i);
}
mp.clear();
for (int i = 0; i < n; ++i) {
int x = a[i] - i;
if (!mp.count(x)) {
mp[x] = cnt++;
adj.emplace_back();
}
adj[i].push_back(mp[x]);
adj[mp[x]].push_back(i);
}
std::vector<bool> vis(cnt);
std::vector<int> f(cnt, -1);
std::vector<std::pair<int, int>> ans;
auto dfs = [&](auto self, int u, int fa) -> void {
for (auto v : adj[u]) {
if (v == fa) {
continue;
}
self(self, v, u);
if (!vis[v]) {
if (f[u] == -1) {
f[u] = v;
} else {
vis[f[u]] = vis[v] = true;
ans.emplace_back(f[u], v);
f[u] = -1;
}
} else if (f[v] != -1) {
vis[f[v]] = vis[u] = true;
ans.emplace_back(f[v], u);
f[v] = -1;
}
}
if (u >= n) {
vis[u] = true;
}
};
for (int i = n; i < cnt; ++i) {
if (!vis[i]) {
dfs(dfs, i, -1);
if (f[i] != -1) {
std::cout << "No\n";
return;
}
}
}
if (int(ans.size()) * 2 < n) {
std::cout << "No\n";
return;
}
std::cout << "Yes\n";
for (auto [u, v] : ans) {
std::cout << u + 1 << " " << v + 1 << "\n";
}
}
int main() {
std::cin.tie(nullptr)->sync_with_stdio(false);
int t;
std::cin >> t;
while (t--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3536kb
input:
3 6 14 22 33 11 25 36 4 100 10 98 12 4 1 3 5 7
output:
Yes 1 4 5 2 6 3 Yes 1 3 4 2 No
result:
ok 3 Cases (3 test cases)
Test #2:
score: -100
Memory Limit Exceeded
input:
10 100000 0 -1 -2 -3 -4 -5 -2 -7 -8 -9 -10 -9 -12 13 14 15 -16 -17 -18 19 20 19 -22 -21 -20 -25 -26 -27 -28 -27 -26 31 30 29 -34 -35 -34 39 38 37 42 41 42 47 44 45 46 49 48 -53 -52 -51 -56 -55 -54 55 56 57 -58 -59 -60 61 62 63 64 65 64 67 66 69 70 73 72 73 74 73 76 75 74 79 80 81 -84 -83 -84 89 86 8...