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 ff first
#define ss second
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define int long long
#define rnd(l, r) uniform_int_distribution<int>(l, r)(rng)
using namespace std;
void fp(string name){freopen((name+".in").c_str(),"r",stdin); freopen((name+".out").c_str(),"w",stdout);}
int pow(int a,int b,int m){int ans=1;while(b){if(b&1){ans=(ans*a)%m;}b>>=1;a=(a*a)%m;}return ans;}
int binpow(int a,int b){int ans=1;while(b){if(b&1){ans=(ans*a);}b>>=1;a=(a*a);}return ans;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int N = 3e5 + 5, inf = 1e18, M = 1e4;
int a[N][25];
int cnt[25];
int ans[N];
int was[N], in[N], calc[M][M],q, mx[M];
int m, n;
map <pair <int,int> ,int> mp;
int get(int bit, int bit2){
if(mp.count({bit, bit2}))
return mp[{bit, bit2}];
int res = 0;
for(int l = 1; l <= m; l++){
cnt[l] -= min(1ll, (bit2 & (1 << (l - 1))));
}
for(int l = 1; l <= m; l++){
cnt[l] -= min(1ll, (bit & (1 << (l - 1))));
res += (cnt[l] >= n / 2);
}
for(int l = 1; l <= m; l++){
cnt[l] += min(1ll, (bit & (1 << (l - 1))));
}
for(int l = 1; l <= m; l++){
cnt[l] += min(1ll, (bit2 & (1 << (l - 1))));
}
mp[{bit, bit2}] = res;
mp[{bit2, bit}] = res;
return res;
}
main(){
iostream::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cin >> n >> m;
for(int i = 1; i <= n; i++){
int x = 0;
for(int j = 1; j <= m; j++){
cin >> a[i][j];
x += (a[i][j] * (1ll << (j - 1)));
cnt[j] += (a[i][j] == 1);
}
in[i] = x;
}
if(n <= 3000){
for(int i = 1 ; i <= n; i++){
for(int j = i + 1; j <= n; j++){
int res = 0 ;
for(int l = 1; l <= m; l++){
cnt[l] -= (a[i][l] == 1) + (a[j][l] == 1);
res += (cnt[l] >= n / 2);
}
ans[i] = max(ans[i], res);
ans[j] = max(ans[j], res);
for(int l = 1; l <= m; l++){
cnt[l] += (a[i][l] == 1) + (a[j][l] == 1);
//res += (cnt[j] >= n / 2);
}
}
}
for(int i = 1; i <= n; i++)
cout << ans[i] <<"\n";
return 0;
}
for(int i = 1; i <= n; i++){
ans[i] = max(mx[in[i]], ans[i]);
if(!was[in[i]]){
for(int bit = 0; bit < (1 << m); bit++){
mx[bit] = max(mx[bit], get(in[i],bit));
}
was[in[i]] = 1;
}
}
for(int bit = 0; bit < (1 << m); bit++){
mx[bit] = 0;
was[bit] = 0;
}
for(int i = n; i >= 1; i--){
ans[i] = max(mx[in[i]], ans[i]);
if(!was[in[i]]){
for(int bit = 0; bit < (1 << m); bit++){
mx[bit] = max(mx[bit], get(in[i],bit));
}
was[in[i]] = 1;
}
}
for(int i = 1; i <= n; i++)
cout << ans[i] <<"\n";
}
/*
* Before implementing the problem:
Do I understand the problem correctly?
Which places are tricky? What do I need to remember to implement them correctly?
Which place is the heaviest by implementation? Can I do it simpler?
Which place is the slowest? Where do I need to be careful about constant factors and where I can choose slower but simpler implementation?
----------------------------------
If not AC:
Did you remember to do everything to handle the tricky places you thought about before?
Is the solution correct?
Do I understand the problem correctly?
----------------------------------
If you have a test on which the solution gives wrong answer:
Is the solution doing what it was supposed to do?
Is the problem in the code or in the idea?
*/
Compilation message (stderr)
council.cpp:48:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
48 | main(){
| ^~~~
council.cpp: In function 'void fp(std::string)':
council.cpp:13:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
13 | void fp(string name){freopen((name+".in").c_str(),"r",stdin); freopen((name+".out").c_str(),"w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
council.cpp:13:70: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
13 | void fp(string name){freopen((name+".in").c_str(),"r",stdin); freopen((name+".out").c_str(),"w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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