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>
using namespace std;
typedef int ll;
typedef __int128 lll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MAX 9223372036854775807LL
#define MIN -9223372036854775807LL
#define INF 987654321
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10);
#define sp << " "
#define en << "\n"
#define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end())
ll n, m, D;
pll a[500010], b[500010];
vector<ll> A[5010], B[5010];
ll arr[5010][10010];
vector<ll> V;
ll P;
int main(void)
{
fastio
cin >> n >> m >> D;
for(ll i = 1 ; i <= n ; ++i)
{
cin >> a[i].fi >> a[i].se;
V.push_back(a[i].fi);
}
compress(V);
for(ll i = 1 ; i <= m ; ++i)
cin >> b[i].fi >> b[i].se;
for(ll i = 1 ; i <= n ; ++i)
A[a[i].se].push_back(a[i].fi);
for(ll i = 1 ; i <= m ; ++i)
B[b[i].se].push_back(b[i].fi);
for(ll i = 0 ; i < D ; ++i)
{
compress(A[i]);
compress(B[i]);
}
ll ans = INF;
for(ll x = 0 ; x < D ; ++x)
{
vector< pair<pll, ll> > vec;
vector<ll> vv;
multiset<ll> st;
priority_queue<ll> gap, egap;
while(P < (ll)V.size() && V[P] < x)
P++;
for(ll i = 0 ; i < D ; ++i)
{
ll l = 0, r = (ll)A[i].size() - 1;
while(l <= r)
{
ll mid = (l + r) >> 1;
if(A[i][mid] >= x)
r = mid - 1;
else
l = mid + 1;
}
if(!A[i].empty())
{
if(l < (ll)A[i].size())
vec.push_back({{A[i][l], i}, 1});
else
vec.push_back({{A[i][0] + D, i}, 1});
}
if(B[i].empty())
continue;
vv.push_back(i);
l = 0, r = (ll)B[i].size() - 1;
while(l <= r)
{
ll mid = (l + r) >> 1;
if(B[i][mid] >= x)
r = mid - 1;
else
l = mid + 1;
}
if(r == -1)
vec.push_back({{B[i].back(), i}, 2});
else
vec.push_back({{B[i][r] + D, i}, 2});
}
ll siz = 0;
ll last = x, now = INF;
ll S = x;
compress(vv);
siz = (ll)vv.size();
for(ll i = 0 ; i < siz ; ++i)
{
st.insert(vv[i]);
if(i >= 1)
{
gap.push(vv[i] - vv[i - 1]);
now = min(now, D - vv[i] + vv[i - 1] + 1);
}
}
sort(vec.begin(), vec.end());
siz = (ll)vec.size();
for(ll i = 0 ; i < siz ; ++i)
{
if(vec[i].se == 1)
{
S = max(S, vec[i].fi.fi);
auto p = st.lower_bound(vec[i].fi.se);
ll L = -1, R = -1;
if(p != st.end())
R = (*p);
if(p != st.begin())
{
p--;
L = (*p);
}
st.insert(vec[i].fi.se);
if(L != -1 || R != -1)
{
if(L == -1)
gap.push(R - vec[i].fi.se);
else if(R == -1)
gap.push(vec[i].fi.se - L);
else
{
egap.push(R - L);
gap.push(R - vec[i].fi.se);
gap.push(vec[i].fi.se - L);
}
}
}
else
{
auto p = st.lower_bound(vec[i].fi.se);
ll L = -1, R = -1;
p++;
if(p != st.end())
R = (*p);
p--;
if(p != st.begin())
{
p--;
L = (*p);
}
st.erase(st.find(vec[i].fi.se));
if(L != -1 || R != -1)
{
if(L == -1)
egap.push(R - vec[i].fi.se);
else if(R == -1)
egap.push(vec[i].fi.se - L);
else
{
gap.push(R - L);
egap.push(R - vec[i].fi.se);
egap.push(vec[i].fi.se - L);
}
}
}
if(vec[i].fi.fi != last)
arr[x][last] = now;
last = vec[i].fi.fi;
while(!gap.empty() && !egap.empty() && gap.top() == egap.top())
gap.pop(), egap.pop();
if(gap.empty())
now = 1;
else
{
now = D - gap.top() + 1;
if(!st.empty())
now = min(now, (*st.rbegin()) - (*st.begin()) + 1);
}
}
arr[x][last] = now;
for(ll i = x ; i < D * 2 ; ++i)
{
if(arr[x][i])
continue;
arr[x][i] = arr[x][i - 1];
}
if(!V.empty())
{
if(P == 0)
S = max(S, V.back());
else
S = max(S, V[P - 1] + D);
}
for(ll j = S ; j < D * 2 ; ++j)
{
if(arr[x][j] != INF)
ans = min(ans, (j - x + 1) * arr[x][j]);
}
}
cout << ans;
return 0;
}
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