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;
#define ar array
typedef long long ll;
#define int ll
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int n, m; cin >> n >> m;
int sz; cin >> sz;
vector<int> x(sz), y(sz), t;
for(int i=0;i<sz;i++){
cin >> x[i] >> y[i];
}
t = x;
sort(t.begin(), t.end());
t.erase(unique(t.begin(), t.end()), t.end());
vector<int> used(t.size());
vector<int> id(sz);
for(int i=0;i<sz;i++){
id[i] = lower_bound(t.begin(), t.end(), x[i]) - t.begin() + 1;
}
int res = 2 * (n + m);
set<int> don;
auto check = [&](int d){
if(don.count(d)) return;
don.insert(d);
vector<ar<int, 2>> tot;
for(int i=0;i<sz;i++){
//~ cout<<max(1LL, y[i] - w)<<" "<<min(y[i] + e, m)<<"\n";
tot.push_back({y[i], id[i]});
tot.push_back({y[i] + d + 1, -id[i]});
}
sort(tot.begin(), tot.end());
vector<int> v, is;
vector<ar<int, 3>> Mn;
for(int i=0;i<(int)tot.size();){
int j = i;
while(j < (int)tot.size() && tot[j][0] == tot[i][0]){
if(tot[j][1] > 0) used[tot[j][1] - 1]++;
else used[-tot[j][1] - 1]--;
j++;
}
//~ cout<<tot[i][0]<<" : ";
int mnl = 0, mn = 0;
int last = -1;
for(int i=0;i<(int)t.size();i++){
if(!used[i]) continue;
if(~last) mn = max(mn, t[i] - t[last] - 1);
else mnl = t[i] - 1;
last = i;
}
v.push_back(tot[i][0]);
if(last == -1){
Mn.push_back({0, 0, 0});
is.push_back(1);
} else {
Mn.push_back({mnl, n - t[last], mn});
is.push_back(0);
}
i = j;
}
for(int i=0;i + 1 < (int)v.size();i++){
int mnl = 0, mnr = 0, mn = 0;
for(int j=i;j + 1 < (int)v.size();j++){
if(is[j]) break;
mnl = max(mnl, Mn[j][0]);
mnr = max(mnr, Mn[j][1]);
mn = max(mn, Mn[j][2]);
if(v[j + 1] - v[i] >= m){
res = min(res, d + max(mnl + mnr, mn));
}
}
}
};
vector<int> tmp;
for(int i=0;i<sz;i++){
for(int j=0;j<sz;j++){
//~ check(y[i] - 1 + m - y[j]);
tmp.push_back(y[i] - 1 + m - y[j]);
}
for(int k=0;k<sz;k++){
if(y[i] >= y[k]) continue;
//~ check(y[k] - y[i] - 1);
tmp.push_back(y[k] - y[i] - 1);
}
}
sort(tmp.begin(), tmp.end());
tmp.erase(unique(tmp.begin(), tmp.end()), tmp.end());
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
shuffle(tmp.begin(), tmp.end(), rng);
tmp.resize(min((int)tmp.size(), 1000ll));
for(auto x : tmp) check(x);
cout<<res<<"\n";
}
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