This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
const int BS = 5000;
const int INF = 1e9;
int main() {
ios::sync_with_stdio(false), cin.tie(nullptr);
int N, M; cin >> N >> M;
vector<int> A(N);
vector<int> cnt(M);
vector<int> dup(1 << M);
for(int i = 0; i < N; i++) {
for(int j = 0; j < M; j++) {
int a; cin >> a;
A[i] += a << j;
cnt[j] += a;
}
dup[A[i]]++;
}
vector<pair<int, int>> D1(1 << M, {INF, INF}), D2(1 << M, {INF, INF});
auto upd = [&] (int i, pair<int, int> p) {
if(D1[i].second != p.second) {
if(D1[i].first > p.first) {
D2[i] = D1[i];
D1[i] = p;
} else if(D2[i].first > p.first) {
D2[i] = p;
}
} else {
if(D1[i].first > p.first) {
D1[i] = p;
}
}
};
for(int i = 0; i < N; i++) D1[A[i]] = {0, A[i]};
for(int i = 0; i < (1 << M); i++) {
for(int j = 0; j < M; j++) {
if((i & (1 << j)) > 0) {
upd(i, D1[i ^ (1 << j)]);
upd(i, D2[i ^ (1 << j)]);
}
}
}
for(int i = (1 << M) - 1; i >= 0; i--) {
for(int j = 0; j < M; j++) {
if((i & (1 << j)) == 0) {
upd(i, {D1[i ^ (1 << j)].first + 1, D1[i ^ (1 << j)].second});
upd(i, {D2[i ^ (1 << j)].first + 1, D2[i ^ (1 << j)].second});
}
}
}
for(int i = 0; i < N; i++) {
int v = (1 << M) - 1;
int ans = 0;
for(int j = 0; j < M; j++) {
int c = (cnt[j] - ((A[i] & (1 << j)) > 0));
if(c == N / 2) {
v ^= 1 << j;
}
if(c >= N / 2) ans++;
}
int best = (dup[A[i]] == 1 && D1[v].second == A[i]) ? D2[v].first : D1[v].first;
cout << ans - best << '\n';
}
}
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