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>
#include <cassert>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,fma")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define MAX 202020
#define MAXS 20
#define INF 2000000000000020
#define bb ' '
#define ln '\n'
#define Ln '\n'
#define MOD 1000000007
ll H, W;
int N;
pii arr[MAX];
ll ans = 2e9;
vector<int> st[MAX], en[MAX];
int U[MAX], D[MAX], UD[MAX];
deque<pii> up, down, su;
bool test(ll d) {
if (d <= 0) return false;
vector<ll> ys;
int i, j;
for (i = 1; i <= N; i++) ys.push_back(arr[i].second), ys.push_back(arr[i].second + d);
sort(ys.begin(), ys.end());
ys.erase(unique(ys.begin(), ys.end()), ys.end());
int X = ys.size();
multiset<int> ds, alls;
for (i = 0; i < X; i++) U[i] = D[i] = UD[i] = 0, st[i].clear(), en[i].clear();
for (i = 1; i <= N; i++) {
int l, r;
l = lower_bound(ys.begin(), ys.end(), arr[i].second) - ys.begin();
r = lower_bound(ys.begin(), ys.end(), arr[i].second + d) - ys.begin();
st[l].push_back(i);
en[r].push_back(i);
}
for (i = 0; i < X; i++) {
for (auto v : st[i]) {
int x = arr[v].first;
if (alls.size() && alls.find(x) == alls.end()) {
auto it = alls.lower_bound(x);
if (it == alls.end()) ds.insert(x - *(--it) - 1);
else if (it == alls.begin()) ds.insert(*it - x - 1);
else {
int ne = *it;
it--;
int pv = *it;
ds.erase(ds.find(ne - pv - 1));
ds.insert(ne - x - 1);
ds.insert(x - pv - 1);
}
}
alls.insert(x);
}
for (auto v : en[i]) {
int x = arr[v].first;
alls.erase(alls.find(x));
if (alls.size() && alls.find(x) == alls.end()) {
auto it = alls.lower_bound(x);
if (it == alls.end()) ds.erase(ds.find(x - *(--it) - 1));
else if (it == alls.begin()) ds.erase(ds.find(*it - x - 1));
else {
ll ne = *it;
it--;
ll pv = *it;
ds.insert(ne - pv - 1);
ds.erase(ds.find(ne - x - 1));
ds.erase(ds.find(x - pv - 1));
}
}
}
if (ds.size()) UD[i] = *ds.rbegin();
if (alls.empty()) UD[i] = 2e9;
else {
U[i] = *alls.begin() - 1;
D[i] = H - *alls.rbegin();
}
}
up.clear();
down.clear();
su.clear();
ll mn = INF;
j = 0;
for (i = 0; i < X - 1; i++) {
while (up.size() && up.back().first <= U[i]) up.pop_back();
up.emplace_back(U[i], i);
while (down.size() && down.back().first <= D[i]) down.pop_back();
down.emplace_back(D[i], i);
while (su.size() && su.back().first <= UD[i]) su.pop_back();
su.emplace_back(UD[i], i);
while (j + 1 <= i && ys[i + 1] - ys[j + 1] >= W) j++;
while (up.size() && up.front().second < j) up.pop_front();
while (down.size() && down.front().second < j) down.pop_front();
while (su.size() && su.front().second < j) su.pop_front();
if (ys[i + 1] - ys[j] >= W) mn = min(mn, max(0ll + up.front().first + down.front().first, (ll)su.front().first));
}
if (mn >= INF) return false;
ans = min(ans, mn + d - 1);
return true;
}
signed main() {
ios::sync_with_stdio(false), cin.tie(0);
clock_t start, finish;
cin >> H >> W >> N;
start = clock();
swap(H, W);
int i, j;
vector<ll> ls;
ls.push_back(W);
for (i = 1; i <= N; i++) cin >> arr[i].first >> arr[i].second, swap(arr[i].first, arr[i].second);
for (i = 1; i <= N; i++) {
for (j = i + 1; j <= N; j++) ls.push_back(abs(arr[j].second - arr[i].second));
for (j = i + 1; j <= N; j++) ls.push_back(abs(arr[j].second - arr[i].second) + W);
ls.push_back(arr[i].second);
ls.push_back(W - arr[i].second + 1);
}
vector<ll> cpy;
for (auto v : ls) cpy.push_back(W - v);
for (auto v : cpy) ls.push_back(v);
sort(ls.begin(), ls.end());
ls.erase(unique(ls.begin(), ls.end()), ls.end());
reverse(ls.begin(), ls.end());
while (ls.back() <= 0) ls.pop_back();
for (i = (int)ls.size() - 1; i >= 0; i--) swap(ls[i], ls[rand() % (i + 1)]);
ll mv = 0;
int rot = 100;
for (auto v : ls) {
if (v < mv) continue;
if (!test(v)) mv = max(mv, v);
rot--;
if (!rot) {
rot = 100;
finish = clock();
auto duration = (double)(finish - start) / (double)CLOCKS_PER_SEC;
if (duration > 1.9) break;
}
}
cout << ans << ln;
}
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