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>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
const int M=20, N=300'010;
const int INF=1e9;
struct i2 {
int mx=0, mx2=0;
int i=-1,j=-2;
};
int m;
i2 max(i2 a, i2 b) {
if(a.mx<b.mx)swap(a,b);
i2 res=a;
if(b.i==a.i){
swap(b.mx,b.mx2);
swap(b.i,b.j);
}
if(a.mx2<b.mx) {
res.mx2=b.mx;
res.j=b.i;
}
else {
res.mx2=a.mx2;
res.j=a.j;
}
return res;
}
struct bf {
vector<int> point;
vector<pair<int,int>> all;
i2 dp[(1<<M)];
bf() {
}
void build() {
for(auto i:all) {
if(dp[(1<<m)-i.first-1].i<0) {
dp[(1<<m)-i.first-1].mx=__builtin_popcount(i.first);
dp[(1<<m)-i.first-1].i=i.second;
}
else {
dp[(1<<m)-i.first-1].mx2=__builtin_popcount(i.first);
dp[(1<<m)-i.first-1].j=i.second;
}
}
for(int j = 0;j<m;j++) {
for(int mask=0;mask<(1<<m);mask++) {
if(mask&(1<<j)) {
i2 tmp=dp[mask^(1<<j)];
tmp.mx--,tmp.mx2--;
dp[mask]=max(dp[mask],tmp);
}
}
}
reverse(dp,dp+(1<<m));
for(int i = 0;i<m;i++) {
for(int mask=0;mask<(1<<m);mask++) {
if(mask&(1<<i)) {
dp[mask]=max(dp[mask], dp[mask^(1<<i)]);
}
}
}
}
void add(int x, int i) {
all.push_back({x,i});
}
int get(int x, int i) {
i2 mx;
mx=max(mx, dp[x]);
if(mx.i==i)return mx.mx2;
return mx.mx;
}
};
int tot[M], kek[N][M];
int a[N], b[N];
int main () {
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n >> m;
for(int i = 0;i<n;i++) {
string s;
if(i==0)getline(cin,s);
getline(cin,s);
for(int j = 0;j<m;j++) {
kek[i][j]=s[2*j]-'0';
a[i]*=2;
a[i]+=!kek[i][j];
tot[j]+=kek[i][j];
}
}
for(int i = 0;i<n;i++) {
for(int j = 0;j<m;j++) {
b[i]*=2;
b[i]+=(tot[j]-kek[i][j])==(n/2);
}
}
int res[n];
bf c;
for(int i = 0;i<n;i++) {
c.add(a[i],i);
}
c.build();
for(int i = 0;i<n;i++) {
res[i]=c.get(b[i],i);
}
for(int i = 0;i<n;i++) {
for(int j = 0;j<m;j++) {
b[i]*=2;
if((tot[j]-kek[i][j]-1)>=(n/2)) {
res[i]++;
}
}
cout << res[i] << "\n";
}
}
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