This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 500005;
const int MAXD = 5005;
int n, m, d;
int p[MAXN * 2], q[MAXN * 2];
ii rs[MAXN * 2];
int occ[MAXD * 2];
set<int> st;
multiset<int> gap;
int ans;
int calcgap(int r, int l) {
if (r > l) {
return r - l;
}
return r - l + d;
}
void insert(int v) {
if (occ[v]++ > 0) {
return;
}
auto ptr = st.insert(v).FI;
if (SZ(st) == 1) {
gap.insert(0);
return;
}
auto prv = prev(st.end());
if (ptr != st.begin()) {
prv = prev(ptr);
}
auto nxt = next(ptr);
if (nxt == st.end()) {
nxt = st.begin();
}
if (prv == nxt) {
gap.erase(gap.find(0));
} else {
gap.erase(gap.find(calcgap(*prv, *nxt)));
}
gap.insert(calcgap(*prv, *ptr));
gap.insert(calcgap(*ptr, *nxt));
}
void remove(int v) {
if (--occ[v] > 0) {
return;
}
auto ptr = st.find(v);
auto prv = prev(st.end());
if (ptr != st.begin()) {
prv = prev(ptr);
}
auto nxt = next(ptr);
if (nxt == st.end()) {
nxt = st.begin();
}
gap.erase(gap.find(calcgap(*prv, *ptr)));
gap.erase(gap.find(calcgap(*ptr, *nxt)));
if (prv == nxt) {
gap.insert(0);
} else {
gap.insert(calcgap(*prv, *nxt));
}
st.erase(ptr);
}
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> n >> m >> d;
REP (i, 0, n) {
cin >> p[i] >> q[i];
}
REP (i, 0, m) {
cin >> rs[i].FI >> rs[i].SE;
}
sort(rs, rs + m);
REP (i, m, 2 * m) {
rs[i] = rs[i - m];
rs[i].FI += d;
}
sort(p, p + n);
REP (i, n, 2 * n) {
p[i] = p[i - n] + d;
}
REP (i, 0, n) {
insert(q[i]);
}
int rptr = 0, pptr = 0;
ans = INF;
REP (i, 0, d) {
while (rs[rptr].FI < i) {
rptr++;
}
while (p[pptr] < i) {
pptr++;
}
int ptr = rptr + m - 1;
RREP (j, i + d - 1, max(i, p[pptr + n - 1])) {
while (ptr >= rptr && rs[ptr].FI > j) {
insert(rs[ptr--].SE);
}
mnto(ans, (j - i + 1) * (*gap.begin() + 1));
}
while (ptr < rptr + m - 1) {
remove(rs[++ptr].SE);
}
}
cout << ans << '\n';
return 0;
}
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