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201
Codeforces Round 1027 (Div. 3)/D. Come a Little Closer.cpp
Normal file
201
Codeforces Round 1027 (Div. 3)/D. Come a Little Closer.cpp
Normal file
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/* Problem URL: https://codeforces.com/contest/2114/problem/D */
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#include <bits/stdc++.h>
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using namespace std;
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#define V vector
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#define rmin(a, b) a = min(a, b)
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#define rmax(a, b) a = max(a, b)
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#define rep(i, lim) for (int i = 0; i < (lim); i++)
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#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
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#define repv(i, v) for (auto &i : (v))
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#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
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#define sortv(v) sort(v.begin(), v.end())
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#define all(v) (v).begin(), (v).end()
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using vi = vector<int>;
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using vvi = vector<vi>;
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using vvvi = vector<vvi>;
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using vvvvi = vector<vvvi>;
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using ll = long long;
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using vl = vector<ll>;
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using vvl = vector<vl>;
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using vvvl = vector<vvl>;
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using vvvvl = vector<vvvl>;
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template<class v>
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auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
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os << vec[0];
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for (size_t i = 1; i < vec.size(); i++) {
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os << ' ' << vec[i];
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}
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os << '\n';
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<v> &vec)->istream& {
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for (auto &i : vec) {
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is >> i;
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}
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return is;
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}
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template<class v>
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auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
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for (auto &i : vec) {
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os << i[0];
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for (size_t j = 1; j < i.size(); j++) {
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os << ' ' << i[j];
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}
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os << '\n';
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}
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
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for (auto &i : vec) {
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for (auto &j : i) {
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is >> j;
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}
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}
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return is;
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}
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int main()
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{
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ios::sync_with_stdio(false);
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cin.tie(nullptr);
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int t;
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cin >> t;
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while (t--) {
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int n;
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cin >> n;
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V<pair<ll, ll>> fds(n);
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repv(i, fds) {
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cin >> i.first >> i.second;
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}
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if (n == 1) {
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cout << 1 << '\n';
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continue;
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}
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ll inf = INT64_MAX >> 1;
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priority_queue<pair<ll, ll>> minx;
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minx.emplace(inf, inf);
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minx.emplace(inf, inf);
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priority_queue<pair<ll, ll>, V<pair<ll, ll>>, greater<>> maxx;
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maxx.emplace(0, 0);
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maxx.emplace(0, 0);
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priority_queue<pair<ll, ll>> miny;
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miny.emplace(inf, inf);
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miny.emplace(inf, inf);
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priority_queue<pair<ll, ll>, V<pair<ll, ll>>, greater<>> maxy;
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maxy.emplace(0, 0);
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maxy.emplace(0, 0);
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repv(i, fds) {
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minx.emplace(i.first, i.second);
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minx.pop();
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maxx.emplace(i.first, i.second);
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maxx.pop();
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miny.emplace(i.second, i.first);
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miny.pop();
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maxy.emplace(i.second, i.first);
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maxy.pop();
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}
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pair<ll, ll> minx2 = minx.top();
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minx.pop();
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pair<ll, ll> minx1 = minx.top();
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pair<ll, ll> maxx2 = maxx.top();
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maxx.pop();
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pair<ll, ll> maxx1 = maxx.top();
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pair<ll, ll> miny2 = miny.top();
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miny.pop();
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pair<ll, ll> miny1 = miny.top();
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pair<ll, ll> maxy2 = maxy.top();
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maxy.pop();
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pair<ll, ll> maxy1 = maxy.top();
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ll ans = inf;
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rmin(ans, (maxx1.first - minx1.first + 1) * (maxy1.first - miny1.first + 1));
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if ((maxx2.first - minx1.first + 1) * (maxy1.first - miny1.first + 1) <= n - 1) {
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rmin(ans, (maxx2.first - minx1.first + 1) * (maxy1.first - miny1.first + 2));
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rmin(ans, (maxx2.first - minx1.first + 2) * (maxy1.first - miny1.first + 1));
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} else {
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rmin(ans, (maxx2.first - minx1.first + 1) * (maxy1.first - miny1.first + 1));
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}
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if ((maxx1.first - minx2.first + 1) * (maxy1.first - miny1.first + 1) <= n - 1) {
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rmin(ans, (maxx1.first - minx2.first + 1) * (maxy1.first - miny1.first + 2));
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rmin(ans, (maxx1.first - minx2.first + 2) * (maxy1.first - miny1.first + 1));
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} else {
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rmin(ans, (maxx1.first - minx2.first + 1) * (maxy1.first - miny1.first + 1));
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}
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if ((maxx1.first - minx1.first + 1) * (maxy2.first - miny1.first + 1) <= n - 1) {
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rmin(ans, (maxx1.first - minx1.first + 2) * (maxy2.first - miny1.first + 1));
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rmin(ans, (maxx1.first - minx1.first + 1) * (maxy2.first - miny1.first + 2));
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} else {
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rmin(ans, (maxx1.first - minx1.first + 1) * (maxy2.first - miny1.first + 1));
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}
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if ((maxx1.first - minx1.first + 1) * (maxy1.first - miny2.first + 1) <= n - 1) {
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rmin(ans, (maxx1.first - minx1.first + 2) * (maxy1.first - miny2.first + 1));
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rmin(ans, (maxx1.first - minx1.first + 1) * (maxy1.first - miny2.first + 2));
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} else {
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rmin(ans, (maxx1.first - minx1.first + 1) * (maxy1.first - miny2.first + 1));
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}
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if (maxx1.first == maxy1.second && maxx1.second == maxy1.first) {
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if ((maxx2.first - minx1.first + 1) * (maxy2.first - miny1.first + 1) > n - 1) {
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rmin(ans, (maxx2.first - minx1.first + 1) * (maxy2.first - miny1.first + 1));
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} else {
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rmin(ans, (maxx2.first - minx1.first + 1) * (maxy2.first - miny1.first + 2));
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rmin(ans, (maxx2.first - minx1.first + 2) * (maxy2.first - miny1.first + 1));
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}
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}
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if (minx1.first == miny1.second && minx1.second == miny1.first) {
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if ((maxx1.first - minx2.first + 1) * (maxy1.first - miny2.first + 1) > n - 1) {
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rmin(ans, (maxx1.first - minx2.first + 1) * (maxy1.first - miny2.first + 1));
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} else {
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rmin(ans, (maxx1.first - minx2.first + 1) * (maxy1.first - miny2.first + 2));
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rmin(ans, (maxx1.first - minx2.first + 2) * (maxy1.first - miny2.first + 1));
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}
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}
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if (minx1.first == maxy1.second && minx1.second == maxy1.first) {
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if ((maxx1.first - minx2.first + 1) * (maxy2.first - miny1.first + 1) > n - 1) {
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rmin(ans, (maxx1.first - minx2.first + 1) * (maxy2.first - miny1.first + 1));
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} else {
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rmin(ans, (maxx1.first - minx2.first + 2) * (maxy2.first - miny1.first + 1));
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rmin(ans, (maxx1.first - minx2.first + 1) * (maxy2.first - miny1.first + 2));
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}
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}
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if (maxx1.first == miny1.second && maxx1.second == miny1.first) {
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if ((maxx2.first - minx1.first + 1) * (maxy1.first - miny2.first + 1) > n - 1) {
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rmin(ans, (maxx2.first - minx1.first + 1) * (maxy1.first - miny2.first + 1));
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} else {
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rmin(ans, (maxx2.first - minx1.first + 2) * (maxy1.first - miny2.first + 1));
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rmin(ans, (maxx2.first - minx1.first + 1) * (maxy1.first - miny2.first + 2));
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}
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}
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cout << ans << '\n';
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}
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}
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