This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifndef SorahISA
#define SorahISA
#include SorahISA __FILE__ SorahISA
// bool debug_flag = false;
void solve() {
int N, M, D; cin >> N >> M >> D;
vector<pii> A(N), B(M);
for (auto &[x, y] : A) cin >> x >> y;
for (auto &[x, y] : B) cin >> x >> y;
/// store A as row and col ///
vector<int> row_A;
vector<bool> col_A(D, 0);
for (const pii &a : A) row_A.eb(a.X), row_A.eb(a.X + D), col_A[a.Y] = 1;
sort(ALL(row_A)), row_A.erase(unique(ALL(row_A)), end(row_A));
/// store B as vectors for each row ///
vector<vector<int>> col_B(D);
for (const pii &b : B) col_B[b.Y].eb(b.X), col_B[b.Y].eb(b.X + D);
for (int y = 0; y < D; ++y) sort(ALL(col_B[y])), col_B[y].erase(unique(ALL(col_B[y])), end(col_B[y]));
/// enumerate x0 ///
int ans = D * D;
for (int x0 = 0; x0 < D; ++x0) {
// debug_flag = (x0 == 81);
/// precalculate when to remove column from set ///
vector<pii> rem_col(D);
for (int y = 0; y < D; ++y) {
rem_col[y] = {x0 + D, y};
if (col_A[y]) continue;
if (col_B[y].empty()) rem_col[y].first = -1;
else rem_col[y].first = *prev(lower_bound(ALL(col_B[y]), x0 + D));
}
sort(RALL(rem_col));
// if (debug_flag) {
// for (auto [pt, time] : rem_col) {
// cerr << pt << " " << time << "\n";
// }
// }
/// initailize the set ///
set<int> alive_col{-1, 2*D};
for (int i = 0; i < 2*D; ++i) alive_col.ee(i);
int tmp_col = D;
auto remove = [&](int rem) {
// if (debug_flag) debug(rem);
auto it = alive_col.erase(alive_col.find(rem));
chmin(tmp_col, D - (*it - *prev(it)) + 1);
};
while (SZ(rem_col) and rem_col.back().first == -1) {
int rem = rem_col.back().second; rem_col.pb();
remove(rem), remove(rem + D);
}
/// enumerate x1 ///
int x1 = *prev(lower_bound(ALL(row_A), x0 + D));
for (; x1 < x0 + D; ++x1) {
// debug_flag = (x0 == 81 and x1 == 120);
while (SZ(rem_col) and rem_col.back().first <= x1) {
int rem = rem_col.back().second; rem_col.pb();
remove(rem), remove(rem + D);
}
chmin(ans, (x1 - x0 + 1) * tmp_col);
// if (debug_flag) {
// debug(x0, x1, tmp_col);
// cerr << "\u001b[34m";
// for (int x : alive_col) cerr << x << " ";
// cerr << "\u001b[0m\n";
// }
}
}
cout << ans << "\n";
}
int32_t main() {
fastIO();
int t = 1; // cin >> t;
for (int _ = 1; _ <= t; ++_) {
solve();
}
return 0;
}
#else
#ifdef local
#define _GLIBCXX_DEBUG 1
#endif
#pragma GCC optimize("Ofast", "unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define int int64_t
// #define double __float80
using pii = pair<int, int>;
template <typename T> using Prior = std::priority_queue<T>;
template <typename T> using prior = std::priority_queue<T, vector<T>, greater<T>>;
#define X first
#define Y second
#define eb emplace_back
#define ef emplace_front
#define ee emplace
#define pb pop_back
#define pf pop_front
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
#define SZ(x) ((int)(x).size())
#ifdef local
#define fastIO() void()
#define debug(...) \
fprintf(stderr, "%sAt [%s], line %d: (%s) = ", "\u001b[33m", __FUNCTION__, __LINE__, #__VA_ARGS__), \
_do(__VA_ARGS__), fprintf(stderr, "%s", "\u001b[0m")
template <typename T> void _do(T &&_t) {cerr << _t << "\n";}
template <typename T, typename ...U> void _do(T &&_t, U &&..._u) {cerr << _t << ", ", _do(_u...);}
#else
#define fastIO() ios_base::sync_with_stdio(0), cin.tie(0)
#define debug(...) void()
#endif
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T, typename U> bool chmin(T &lhs, U rhs) {return lhs > rhs ? lhs = rhs, 1 : 0;}
template <typename T, typename U> bool chmax(T &lhs, U rhs) {return lhs < rhs ? lhs = rhs, 1 : 0;}
#endif
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