#include <iostream>
#include <fstream>
#include <algorithm>
#include <chrono>
#include <vector>
const int MAX_SIZE = 16;
int board[MAX_SIZE][MAX_SIZE] = {0};
int M, N;
int sum_column(int number) {
int sum = 0;
for (auto &i: board) {
sum += i[number];
}
return sum;
}
int get_sum() {
int sum = 0;
for (const auto &row: board) {
for (const auto &col: row) {
sum += col;
}
}
return sum;
}
int flipped_columns[MAX_SIZE] = {0};
int flipped_lines[MAX_SIZE] = {0};
void flip_line(int line_number, int direction) {
if (direction == 1) {
if (flipped_lines[line_number] == 1) {
return;
}
flipped_lines[line_number] = 1;
for (int i = 0; i < N; ++i) {
board[line_number][i] *= -1;
}
} else {
if (flipped_lines[line_number] == 0) {
return;
}
flipped_lines[line_number] = 0;
for (int i = 0; i < N; ++i) {
board[line_number][i] *= -1;
}
}
}
void flip_column(int column_number) {
for (auto &i: board) {
i[column_number] *= -1;
}
}
void print_matrix() {
std::cout << "\n<------------------->\n";
for (int i = 0; i < M; ++i) {
for (int j = 0; j < N; ++j) {
std::cout << board[i][j] << " ";
}
std::cout << '\n';
}
}
int flip_algo() {
std::string input_file_name("../flip.in");
std::string output_file_name("../flip.out");
std::ifstream input_file;
input_file.open(input_file_name);
input_file >> M >> N;
for (int i = 0; i < M; ++i) {
for (int j = 0; j < N; ++j) {
input_file >> board[i][j];
}
}
int limit = 1 << M;
int max_sum = 0;
std::vector<int> flipped_columns;
for (int i = 0; i < limit; ++i) {
for (int j = 0; 1 << j <= i; ++j) {
if (i & (1 << j)) {
flip_line(j, 1);
} else {
flip_line(j, 0);
}
}
for (int k = 0; k < N; ++k) {
if (sum_column(k) < 0) {
flip_column(k);
flipped_columns.push_back(k);
}
}
int new_sum = get_sum();
if (new_sum > max_sum) {
max_sum = new_sum;
}
while (!flipped_columns.empty()) {
flip_column(flipped_columns.back());
flipped_columns.pop_back();
}
// for (int j = 0; j < N; ++j) {
// flip_column(j, 0);
// }
}
std::ofstream out;
out.open(output_file_name);
out << max_sum;
return 0;
}
int main() {
using namespace std;
using namespace std::chrono;
auto start = high_resolution_clock::now();
flip_algo();
auto stop = high_resolution_clock::now();
auto duration = duration_cast<milliseconds>(stop - start);
cout << duration.count() << endl;
}