This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/NOI14_orchard
#include <bits/stdc++.h>
#define int int64_t
#define coutV(x) for (const auto& e: x) {cerr << e << " ";} cerr << "\n"
using namespace std;
int N, M;
int totalApples = 0;
vector<vector<int>> orc;
inline int query(int i1, int j1, int i2, int j2) {
return orc[i2][j2] + orc[i1][j1] - orc[i1][j2] - orc[i2][j1];
}
signed main() {
#ifndef __APPLE__
cin.tie(0);
ios_base::sync_with_stdio(0);
#endif
cin >> N >> M;
orc = vector<vector<int>>(N + 1, vector<int>(M + 1, 0));
for (int i = 0; i < N; i++) {
for (int j = 0; j < M; j++) {
int16_t v;
cin >> v;
totalApples += v;
orc[i + 1][j + 1] = 2 * v - 1;
orc[i + 1][j + 1] += orc[i + 1][j] + orc[i][j + 1] - orc[i][j];
}
}
#ifdef __APPLE__
for (int i = 0; i <= N; i++) {
for (int j = 0; j <= M; j++) {
cerr << orc[i][j] << " ";
} cerr << "\n";
} cerr << "\n";
#endif
int maxSavings = 0;
for (int i1 = 0; i1 < N; i1++) {
for (int i2 = i1 + 1; i2 <= N; i2++) {
// Maximum Subsetsum
int currentSum = 0;
for (int j = 0; j < M; j++) {
currentSum += query(i1, j, i2, j + 1);;
currentSum = max(currentSum, (int) 0);
maxSavings = max(maxSavings, currentSum);
}
}
}
// for (int i1 = 0; i1 < N; i1++) {
// for (int j1 = 0; j1 < M; j1++) {
// for (int i2 = i1 + 1; i2 <= N; i2++) {
// for (int j2 = j1 + 1; j2 <= M; j2++) {
// int q = query(i1, j1, i2, j2);
// maxSavings = max(maxSavings, q);
// }
// }
// }
// }
cout << totalApples - maxSavings << "\n";
}
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