This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
_ _ __ _ _ _ _ _ _
|a ||t ||o d | |o |
| __ _| | _ | __| _ |
| __ |/_ | __ /__\ / _\|
**/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N_MAX = 300;
const int INF = INT_MAX;
int H, W;
int N;
int X[N_MAX + 2], Y[N_MAX + 2];
int xs[N_MAX + 2], cntx;
int order[N_MAX + 2];
multiset <int> S;
multiset <int> diffs;
void add_S (int y) {
multiset <int> :: iterator it = S.insert(y);
if (it != S.begin()) {
if (*next(it) > 1) {
diffs.erase(diffs.find(*next(it) - *prev(it)));
if (*it > 1) {
diffs.insert(*it - *prev(it));
}
}
}
if (*next(it) > 1) {
diffs.insert(*next(it) - *it);
}
}
void del_S (int y) {
multiset <int> :: iterator it = S.find(y);
if (it != S.begin()) {
if (*next(it) > 1) {
if (*it > 1) {
diffs.erase(diffs.find(*it - *prev(it)));
}
diffs.insert(*next(it) - *prev(it));
}
}
if (*next(it) > 1) {
diffs.erase(diffs.find(*next(it) - *it));
}
S.erase(it);
}
int solve (int h) {
S.clear(); S.insert(W + 1);
diffs.clear();
// cout << "solve(h=" << h << "):\n";
int w = 0;
for (int k = 2, i = 1, j = 1; k <= cntx + 1; k++) {
if (xs[k] - 1 <= 0) {
continue;
}
// cout << xs[k] - 1 << ":\n";
while (i <= N && X[order[i]] <= xs[k] - 1) {
// cout << "insert " << Y[order[i]] << "\n";
add_S(Y[order[i++]]);
}
while (j < i && X[order[j]] + h < xs[k] - 1) {
// cout << "delete " << Y[order[j]] << "\n";
del_S(Y[order[j++]]);
}
// for (int d : diffs) {
// cout << d << " ";
// }
// cout << "\n";
if (S.empty() == true || *S.begin() > 1) {
return INF;
}
w = max(w, *diffs.rbegin() - 1);
}
// cout << " => " << h << " + " << w << "\n";
return h + w;
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> H >> W;
cin >> N;
for (int i = 1; i <= N; i++) {
cin >> X[i] >> Y[i];
xs[i] = X[i];
}
sort(xs + 1, xs + N + 1);
cntx = (unique(xs + 1, xs + N + 1) - (xs + 1));
xs[cntx + 1] = H + 1;
iota(order + 1, order + N + 1, 1);
sort(order + 1, order + N + 1, [&] (const int &i, const int &j) {
return X[i] < X[j];
});
int answer = INF;
for (int k = 1; k <= N; k++) {
int dx = X[k] - 1, dy = Y[k] - 1;
for (int i = 1; i <= N; i++) {
X[i] -= dx; Y[i] -= dy;
}
for (int i = 1; i <= cntx; i++) {
xs[i] -= dx;
}
// cout << "delta=(" << dx << "," << dy << ")\n";
for (int i = 1; i <= cntx; i++) {
for (int j = i + 1; j <= cntx + 1; j++) {
answer = min(answer, solve(xs[j] - xs[i] - 1));
}
}
// cout << "\n\n\n";
for (int i = 1; i <= N; i++) {
X[i] += dx; Y[i] += dy;
}
for (int i = 1; i <= cntx; i++) {
xs[i] += dx;
}
}
cout << answer << "\n";
return 0;
}
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