문제
링크
풀이
#include <iostream>
#include <set>
#include <utility>
#include <vector>
using namespace std;
bool solve(void) {
int n; cin >> n;
vector<int> x(n), y(n);
for (int i=0; i<n; i++) cin >> x[i] >> y[i];
set<pair<int, int>> p;
for (int i=0; i<n; i++) {
p.insert({x[i], y[i]});
}
long long sumx = 0, sumy = 0;
for (int i=0; i<n; i++) {
sumx += x[i]; sumy += y[i];
}
for (int i=0; i<n; i++) {
if (p.find({2*sumx/n-x[i], 2*sumy/n-y[i]}) == p.end()) return false;
}
return true;
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int c; cin >> c;
while (c--) cout << (solve() ? "yes" : "no") << "\n";
return 0;
}