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>
#define ll long long
#define ntr "\n"
#define mod (ll)(1e9+7)
#define taskname "temp"
#define frep freopen("01-05.inp","r",stdin); freopen(taskname".out","w",stdout);
using namespace std;
ll pref[100];
ll arr[300001];
ll ans[300001];
ll best[1<<20];
ll n,m;
ll one,two,zero;
ll super[1<<21][21];
ll flip(ll x){
return ((1<<m)-1)&~x;
}
void sub2(){
for(int i=1;i<=n;i++){
for(int j=i+1;j<=n;j++){
ans[i]=max(ans[i],(ll)__builtin_popcount((two | (one & ~arr[i]) | (~arr[j] &(one | (zero & ~arr[i]))))));
ans[j]=max(ans[j],(ll)__builtin_popcount((two | (one & ~arr[j]) | (~arr[i] &(one | (zero & ~arr[j]))))));
}
}
for(int i=1;i<=n;i++){
cout<<ans[i]<<ntr;
}
}
ll cntc=0;
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
//frep;
cin>>n>>m;
for(int i=1;i<=n;i++){
for(int j=0;j<m;j++){
ll x;
cin>>x;
pref[j]+=x;
arr[i]+=(x<<j);
}
super[flip(arr[i])][0]++;
}
for(int i=0;i<m;i++){
if(pref[i]>=n/2+2) two|=(1<<i);
if(pref[i]==n/2+1) one|=(1<<i);
if(pref[i]==n/2) zero|=(1<<i);
}
// if(n<=3000){
// sub2();
// return 0;
// }
for(int i=(1<<m);i>0;i--){
if(i%2==0) super[i][0]+=super[i^1][0];
for(int j=1;j<=20;j++){
super[i][j]+=super[i][j-1];
if((i&(1<<j))==0) super[i][j]+=super[i+(1<<j)][j-1];
}
}
//cout<<ntr;
for(int mask=0;mask<(1<<m);mask++){
if(!super[flip(mask)][0]) continue;
ll ONE=(two | ( one & ~mask ));
ll ZERO=( one | ( zero & ~mask ));
// cout<<ONE<<' '<<ZERO<<ntr;
ll optmask=0;
for(int i=0;i<m;i++){
if(ONE&(1<<i)) continue;
if(ZERO&(1<<i)) optmask|=(1<<i);
}
// cout<<optmask<<ntr;
for(int nextmask=optmask;nextmask;nextmask=(nextmask-1)&optmask){
if(super[nextmask][19]>((nextmask&mask)==0))
best[mask]=max(best[mask],(ll)__builtin_popcount(ONE|(ZERO&nextmask)));
}
// cout<<ntr<<ntr;
best[mask]=max(best[mask],(ll)__builtin_popcount(ONE));
}
for(int i=1;i<=n;i++){
cout<<best[arr[i]]<<ntr;
}
}
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