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;
#define ff first
#define ss second
#define all(a) a.begin(), a.end()
const int N = 3e5;
int ans[N+10];
vector< vector<int> > build(int n, int m, vector< vector<int> > &a){
vector<int> cnt(m);
for(int i = 0;i < n; i++){
for(int j = 0;j < m; j++){
cnt[j]+= a[i][j];
}
}
vector< vector<int> > res(n);
for(int i = 0;i < n; i++){
for(int j = 0;j < m; j++){
if(cnt[j] > (n / 2) + 1){
ans[i]++;
}
}
}
for(int i = 0;i < n; i++){
for(int j = 0;j < m; j++){
if(cnt[j] == n / 2){
res[i].push_back(a[i][j]);
}else if(cnt[j] == (n / 2) + 1){
res[i].push_back(a[i][j]);
}
}
}
return res;
}
pair<int, int> mnus(pair<int ,int> A, int bits){
int fin = A.ff - (A.ff & bits);
int fin1 = A.ss;
int k = (A.ss & bits);
fin|= k;
fin1-= k;
return {fin, fin1};
}
signed main(){
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int n, m; cin >> n >> m;
vector< vector<int> > a(n, vector<int>(m));
for(int i = 0;i < n; i++){
for(int j = 0;j < m; j++){
cin >> a[i][j];
}
}
a = build(n, m, a);
n = a.size();
m = a[0].size();
vector<int> cnt(m);
int col = 0, col1 = 0;
for(int i = 0;i < n; i++){
for(int j = 0;j < m; j++){
cnt[j]+= a[i][j];
}
}
for(int j = 0;j < m; j++){
if(cnt[j] == n / 2) col+= (1<<j);
else col1+= (1<<j);
}
vector<int> bits(n);
vector<int> index[(1<<m) + 10];
for(int i = 0;i < n; i++){
int mask = 0;
for(int j = 0;j < m; j++){
if(a[i][j]){
mask+= (1<<j);
}
// cout << a[i][j] << ' ';
}
//cout << '\n';
bits[i] = mask;
index[mask].push_back(i);
}
vector<int> needs;
for(int mask = 0; mask < (1<<m); mask++){
if(index[mask].empty() == false) needs.push_back(mask);
}
for(int i = 0;i < n; i++){
pair<int, int> gt = mnus(make_pair(col, col1), bits[i]);
int mx = 0;
/*
for(int j = 0;j < m; j++){
if(gt.ff & (1<<j)) cout << 1;
else cout << 0;
}
cout << " -> ";
for(int j = 0;j < m; j++){
if(gt.ss & (1<<j)) cout << 1;
else cout << 0;
}
cout << '\n';
* */
for(int bits : needs){
if((index[bits][0] != i || index[bits].back() != i)){
pair<int, int> gt1 = mnus(gt, bits);
int s = __builtin_popcount(gt1.ff);
s+= __builtin_popcount(gt1.ss);
mx = max(mx, s);
}
}
ans[i]+= mx;
}
for(int i = 0;i < n; i++) cout << ans[i] << '\n';
return 0;
}
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