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day24.cpp
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85 lines (72 loc) · 2.26 KB
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#include <iostream>
#include <vector>
#include <algorithm>
#include <bitset>
using namespace std;
// Function to check if a subset of rows is stable
bool is_stable_subset(const vector<vector<int>>& grid, int subset_mask, int m, int n) {
int subset_size = __builtin_popcount(subset_mask);
if (subset_size == 0) return false;
int max_particles_per_column = subset_size / 2;
vector<int> column_sums(n, 0);
for (int i = 0; i < m; ++i) {
if (subset_mask & (1 << i)) {
for (int col = 0; col < n; ++col) {
column_sums[col] += grid[i][col];
}
}
}
for (int col_sum : column_sums) {
if (col_sum > max_particles_per_column) {
return false;
}
}
return true;
}
// Function to find a stable subset of rows
vector<int> find_stable_subset(const vector<vector<int>>& grid, int m, int n) {
for (int subset_size = 1; subset_size <= m; ++subset_size) {
for (int subset_mask = 1; subset_mask < (1 << m); ++subset_mask) {
if (__builtin_popcount(subset_mask) == subset_size) {
if (is_stable_subset(grid, subset_mask, m, n)) {
vector<int> subset_indices;
for (int i = 0; i < m; ++i) {
if (subset_mask & (1 << i)) {
subset_indices.push_back(i);
}
}
return subset_indices;
}
}
}
}
return {};
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int T;
cin >> T;
while (T--) {
int m, n;
cin >> m >> n;
vector<vector<int>> grid(m, vector<int>(n));
for (int i = 0; i < m; ++i) {
for (int j = 0; j < n; ++j) {
cin >> grid[i][j];
}
}
vector<int> stable_subset = find_stable_subset(grid, m, n);
if (!stable_subset.empty()) {
cout << "[";
for (size_t i = 0; i < stable_subset.size(); ++i) {
cout << stable_subset[i];
if (i != stable_subset.size() - 1) cout << ",";
}
cout << "]\n";
} else {
cout << "[]\n";
}
}
return 0;
}