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;
const int NM = 3e5, MM = 20;
int N, M, msk[NM+5], occ[(1<<MM)+5], cnt[MM+5];
int f[(1<<MM)+5][MM+5], g[(1<<MM)+5][MM+5];
void optimize(int i, int j, int x){
if (f[i][j] == -1 || __builtin_popcount(x&i) < __builtin_popcount(f[i][j]&i)){
g[i][j] = f[i][j];
f[i][j] = x;
return;
}
if (x == f[i][j]) return;
if (g[i][j] == -1 || __builtin_popcount(x&i) < __builtin_popcount(g[i][j]&i)){
g[i][j] = x;
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> N >> M;
for (int i = 1; i <= N; i++){
for (int j = 0; j < M; j++){
char ch; cin >> ch;
if (ch == '1'){
msk[i] += 1<<j;
cnt[j]++;
}
}
occ[msk[i]]++;
}
for (int i = 0; i < (1<<M); i++){
f[i][0] = (occ[i] > 0 ? i : -1);
g[i][0] = -1;
}
for (int i = 0; i < (1<<M); i++)
for (int j = 0; j < M; j++){
f[i][j+1] = f[i][j];
g[i][j+1] = g[i][j];
if (((i>>j)&1) == 1){
optimize(i, j+1, f[i-(1<<j)][j]);
optimize(i, j+1, g[i-(1<<j)][j]);
}
}
for (int i = (1<<M)-1; i >= 0; i--){
f[i][0] = f[i][M];
g[i][0] = g[i][M];
for (int j = 0; j < M; j++){
f[i][j+1] = f[i][j];
g[i][j+1] = g[i][j];
if (((i>>j)&1) == 0){
optimize(i, j+1, f[i+(1<<j)][j]);
optimize(i, j+1, g[i+(1<<j)][j]);
}
}
}
for (int i = 1; i <= N; i++){
int tmp = 0, res = 0;
for (int j = 0; j < M; j++){
if (cnt[j]-((msk[i]>>j)&1) >= N/2) res++;
if (cnt[j]-((msk[i]>>j)&1) == N/2) tmp += (1<<j);
}
if (f[tmp][M] == msk[i] && occ[msk[i]] == 1) res -= __builtin_popcount(g[tmp][M]&tmp);
else res -= __builtin_popcount(f[tmp][M]&tmp);
cout << res << '\n';
}
return 0;
}
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