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>
using namespace std;
int main(){
ios_base::sync_with_stdio(false); cin.tie(nullptr);
int n, m; cin >> n >> m;
int arr[n + 1][m + 1];
vector<int> vis(m + 1), mp(1 << m), mask(1 << m), idx(n + 1);
for(int i = 1; i <= n; i++){
int sum = 0;
for(int j = 1; j <= m; j++){
cin >> arr[i][j];
if(arr[i][j]){
vis[j]++;
sum += (1 << (j - 1));
}
}
idx[i] = sum;
mp[sum]++;
}
if(n<=3000){
for(int i = 1; i <= n; i++){
int mx = 0;
vector<int>vis1(m + 1);
for(int j = 1; j <= m; j++) if(arr[i][j]) vis1[j]++;
for(int j = 1; j <= n; j++){
if(j == i) continue;
vector<int> vis2(m + 1);
int cnt = 0 ;
for(int k = 1; k <= m;k++) if(arr[j][k]) vis2[k]++;
for(int k = 1; k <= m; k++) if((vis[k] - vis1[k] - vis2[k]) > ((n - 2) / 2)) cnt++;
mx = max(mx, cnt);
}
cout << mx << '\n';
}
}
else{
int mn = ((n - 2) / 2);
for(int i = 1; i <= n; i++){
int val = idx[i];
vector<int> vis1(m + 1);
for(int j = 1; j <= m;j++) if(arr[i][j]) vis1[j]++;
mp[val]--;
int mx = 0;
for(int msk = 0; msk < (1 << m); msk++){
if(mp[msk] <= 0 || mx == m) continue;
vector<int> vis2(m + 1);
int cnt = 0;
for(int j = 0; j < m; j++) if(((msk >> j) & 1) == 1) vis2[j + 1]++;
for(int j = 1; j <= m; j++) if(vis[j] - vis1[j] - vis2[j] > mn)cnt++;
mx = max(mx, cnt);
if(msk == 0)break;
}
cout << mx << '\n';
mp[val]++;
}
}
}
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