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;
const int MAX_PERS=300*1000+5,MAX_PROP=22,MAX_VAL=(1<<20);
int nbPers,nbChoix,rep,val,gratuit,r1,r2;
int choix[MAX_PERS][MAX_PROP];
int somme[MAX_PROP];
vector<int> nbOccu[MAX_VAL];
int val1[MAX_VAL];
int memo[MAX_VAL];
int rest1[MAX_VAL],rest2[MAX_VAL];
int compte1(int nb) {
int nb1=0;
while (nb>0) {
nb1+=nb%2;
nb/=2;
}
return nb1;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin>>nbPers>>nbChoix;
for (int i=0;i<nbPers;i++) {
for (int j=0;j<nbChoix;j++) {
cin>>choix[i][j];
somme[j]+=choix[i][j];
}
}
for (int j=0;j<nbChoix;j++) {
if (somme[j]-2>=nbPers/2) {
gratuit++;
}
else if (somme[j]-1==nbPers/2) {
for (int i=0;i<nbPers;i++) {
rest2[i]+=(1<<j)*(1-choix[i][j]);
}
}
else if (somme[j]==nbPers/2) {
for (int i=0;i<nbPers;i++) {
rest1[i]+=(1<<j)*(1-choix[i][j]);
}
}
}
for (int i=0;i<(1<<nbChoix);i++) {
val1[i]=compte1(i);
memo[i]=-1;
}
for (int i=0;i<nbPers;i++) {
val=0;
for (int j=0;j<nbChoix;j++) {
val+=(1<<j)*choix[i][j];
}
nbOccu[val].push_back(i);
}
for (int i=0;i<nbPers;i++) {
rep=0;
val=0;
for (int j=0;j<nbChoix;j++) {
val+=(1<<j)*choix[i][j];
}
if (memo[val]!=-1) {
cout<<memo[val]<<"\n";
}
else {
for (int j=0;j<(1<<nbChoix);j++) {
if ((nbOccu[j].size()>0 and j!=val) or nbOccu[j].size()>1) {
r1=(rest1[i]&rest1[nbOccu[j].back()]);
r2=(rest2[i]|rest2[nbOccu[j].back()]);
//cout<<i<<" "<<j<<" : "<<r1<<" "<<r2<<endl;
//cout<<r1<<" "<<r2<<endl;
rep=max(rep,gratuit+val1[r1]+val1[r2]);
}
}
memo[val]=rep;
cout<<rep<<"\n";
}
}
return 0;
}
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