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 ll int
#define pll pair<int, int>
#define pb push_back
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
const ll N = 2e6 + 100;
const ll inf = 1e9;
const ll mod = 1e9 + 7;
const ll block = 350;
ll n,m;
ll a[N][21], res[N], cnt[N];
void to_thic_cau(){
cin >> n >> m;
vector<pair<pair<int, int>, pair<int, int>>> dp(1 << m, {{-1, -1}, {-1, -1}});
auto upd = [&](int msk, pair<int, int> val) -> void {
if (val.second == dp[msk].first.second or val.second == dp[msk].second.second) return;
if (dp[msk].first.first < val.first) dp[msk].S = dp[msk].F, dp[msk].first = val;
else if (dp[msk].second.first < val.first) dp[msk].second = val;
};
for(int i = 1; i <= n;i++){
ll msk = 0;
for(int j = 0; j < m;j++){
cin >> a[i][j];
if(a[i][j] == 1) cnt[j]++;
else cnt[j]--, msk |= (1 << j);
}
upd(msk, {__builtin_popcount(msk), i});
}
for (int msk = (1 << m) - 1; msk >= 0; --msk) {
for (int i = 0; i < m; ++i) if (msk >> i & 1) {
upd(msk ^ (1 << i), {dp[msk].first.first - 1, dp[msk].first.second});
upd(msk ^ (1 << i), {dp[msk].second.first - 1, dp[msk].second.second});
}
}
for (int i = 0; i < m; ++i) for (int msk = 0; msk < 1 << m; ++msk) if (msk >> i & 1) {
int nxt_msk = msk ^ (1 << i);
upd(msk, dp[nxt_msk].first);
upd(msk, dp[nxt_msk].second);
}
for (int i = 1; i <= n; ++i) {
for (int j = 0; j < m; ++j) {
cnt[j] -= (a[i][j] ? 1 : -1);
}
int needed_msk = 0;
for (int j = 0; j < m; ++j) {
if (cnt[j] == 0 or cnt[j] == 1) needed_msk |= (1 << j);
}
int needed_idx = (dp[needed_msk].first.second != i ? dp[needed_msk].first.second : dp[needed_msk].second.second);
for (int j = 0; j < m; ++j) {
cnt[j] -= (a[needed_idx][j] ? 1 : -1);
}
int res = 0;
for (int j = 0; j < m; ++j) if (cnt[j] > 0) ++res;
cout << res << "\n";
for (int j = 0; j < m; ++j) {
cnt[j] += (a[needed_idx][j] ? 1 : -1);
cnt[j] += (a[i][j] ? 1 : -1);
}
}
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
ll tc = 1;
//cin >> tc;
while(tc--) to_thic_cau();
}
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