This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define ar array
#define db double
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rint(l, r) uniform_int_distribution<int>(l, r)(rng)
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }
const int INF = 1e9;
void test_case() {
int n, m, D;
cin >> n >> m >> D;
vector<ar<int, 2>> a(n), b(m);
for (auto &x : a) cin >> x[0] >> x[1];
for (auto &x : b) cin >> x[0] >> x[1];
vector<vector<ar<int, 3>>> each(D);
for (int i = 0; i < n; i++) {
each[a[i][0]].push_back({a[i][1], i, 0});
}
for (int i = 0; i < m; i++) {
each[b[i][0]].push_back({-1, i + n, 1});
}
int ans2 = 1e9;
for (int i = 0; i < D; i++) {
auto calc = [&](int top) {
int l = i, r = top;
// use [l, r] y
vector<int> got(n + m);
int need = n + m;
for (int i = 0; i < m; i++) {
// b[1] is y
if ((l <= b[i][1] && b[i][1] <= r) || (l <= b[i][1] + D && b[i][1] + D <= r)) {
got[i + n]++;
need--;
}
}
int left = 0, bst = INF;
for (int j = 0; j < 2 * D; j++) {
for (auto [y, pos, tp] : each[j % D]) {
if (tp == 1) {
if (got[pos]++ == 0) need--;
}
else {
// [l,r ] need to enclose y
if ((l <= y && y <= r) || (l <= y+D && y+D <= r)) {
if (got[pos]++ == 0) need--;
}
}
}
bool ok = need == 0;
int last_good = left;
while (need == 0) {
last_good = left;
for (auto [y, pos, tp] : each[left % D]) {
if (tp == 1) {
if (--got[pos] == 0) need++;
}
else {
// [l,r ] need to enclose y
if ((l <= y && y <= r) || (l <= y+D && y+D <= r)) {
if (--got[pos] == 0) need++;
}
}
}
left++;
}
if (ok) ckmin(bst, j - last_good + 1);
}
return bst == INF ? -1 : bst;
};
for (int j = i; j < i + D; j++) {
int res = calc(j);
//cout << "I: " << i << " " << j << " " << res << '\n';
if (~res) ckmin(ans2, (j - i + 1) * res);
}
}
cout << ans2 << '\n';
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int t = 1;
// cin >> t;
while (t--) test_case();
}
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