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 FOR(i, l, r) for (int i = (l); i < (r); i++)
#define F0R(i, n) FOR(i, 0, n)
#define ROF(i, l, r) for (int i = (r)-1; i >= l; i--)
#define R0F(i, n) ROF(i, 0, n)
#define ar array
#define sz(v) static_cast<int>(v.size())
#define all(v) begin(v), end(v)
typedef vector<int> vi;
typedef long long ll;
struct two {
pair<int, int> v[2];
two() { v[0] = v[1] = make_pair(20, -1); }
void add(pair<int, int> p) {
auto [x, i] = p;
if (v[0].first > x)
v[1] = v[0], v[0] = {x, i};
else if (v[1].first > x)
v[1] = {x, i};
}
int get(int i) {
if (v[0].second != i) return v[0].first;
return v[1].first;
}
};
pair<int, int> ad(pair<int, int> p) {
p.first++;
return p;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
const int N = 3e5, M = 20;
int n, m;
cin >> n >> m;
static int bm[N];
static int all[M];
F0R(i, n) F0R(j, m) {
int x;
cin >> x;
all[j] += x;
bm[i] |= x << j;
}
static two f[1 << M];
F0R(i, n) f[bm[i]].add({0, i});
F0R(b, m) {
int blk = 1 << b;
for (int i = 0; i < 1 << m; i += 2 * blk) FOR(j, i, i + blk) {
two u = f[j], v = f[j + blk];
f[j] = f[j + blk] = two();
f[j].add(u.v[0]);
f[j].add(u.v[1]);
f[j].add(v.v[0]);
f[j].add(v.v[1]);
f[j + blk].add(u.v[0]);
f[j + blk].add(u.v[1]);
f[j + blk].add(ad(v.v[0]));
f[j + blk].add(ad(v.v[1]));
}
}
int bound = n / 2;
F0R(i, n) {
F0R(j, m) if (bm[i] >> j & 1) all[j]--;
int cnt = 0, b = 0;
F0R(j, m)
if (all[j] > bound)
cnt++;
else if (all[j] == bound)
cnt++, b |= 1 << j;
cout << cnt - f[b].get(i) << '\n';
F0R(j, m) if (bm[i] >> j & 1) all[j]++;
}
}
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