Submission #955464

#TimeUsernameProblemLanguageResultExecution timeMemory
955464LCJLYCouncil (JOI23_council)C++14
40 / 100
290 ms52528 KiB
#include <bits/stdc++.h>
using namespace std;
 
#define int long long 
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << "  " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << "  " << j << " " << #i << "  " << q << " " << #p << endl;
#define show4(x,y) for(auto it:y) cout << it << " "; cout << #x << endl;
typedef pair<int,int>pii;
typedef pair<pii,pii>pi2;
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

int n,m;
int arr[300005];
int cnt[25];

vector<int>sub[100005];

pi2 f(pi2 a, int b, int c){
	if(b>=a.first.first){
		if(a.first.second==c){
			a.first={b,c};
		}
		else{
			a.second=a.first;
			a.first={b,c};
		}
	}
	else if(b>=a.second.first){
		if(a.first.second!=c) a.second={b,c};
	}
	return a;
}

pi2 memo[25][100005];
bool vis[25][100005];

void out(int x){
	for(int y=0;y<m;y++){
		cout << ((x&(1<<y))>0);
	}
	cout << endl;
}

pi2 dp(int index, int mask){	
	if(index>=m){
		pi2 cur={{0,0},{0,0}};
		int num=__builtin_popcount(mask);
		if(sub[mask].size()==1){
			cur.first={num,sub[mask][0]};
		}
		else if(sub[mask].size()>1){
			cur.first={num,sub[mask][0]};
			cur.second={num,sub[mask][1]};
		}
		//if(cur.first.first>=4){
			//show2(a,cur.first.first,b,cur.first.second);
			//show2(c,cur.second.first,d,cur.second.second);
			//cout <<  "mask ";
			//out(mask);
		//}
		return cur;
		
	}
	if(vis[index][mask]) return memo[index][mask];
	pi2 ans=dp(index+1,mask);
	if(mask&(1<<index)){
		pi2 hold=dp(index+1,mask^(1<<index));
		ans=f(ans,hold.first.first,hold.first.second);
		ans=f(ans,hold.second.first,hold.second.second);
	}	
	vis[index][mask]=true;
	return memo[index][mask]=ans;
}

void dfs(int index, int mask){
	if(mask==0) return;
	if(sub[mask].size()>=2) return;
	if(sub[mask].size()>0&&sub[mask][0]==index) return;
	if(sub[mask].size()>1&&sub[mask][1]==index) return;
	sub[mask].push_back(index);
	for(int x=0;x<m;x++){
		if(mask&(1<<x)){
			dfs(index,mask^(1<<x));
		}
	}
}

void solve(){
	cin >> n >> m;
	
	int temp;
	for(int x=0;x<n;x++){
		int inv=0;
		for(int y=0;y<m;y++){
			cin >> temp;
			arr[x]+=temp*(1<<y);
			cnt[y]+=temp;
			inv+=(1-temp)*(1<<y);
		}
		dfs(x,inv);
	}
	
	for(int x=0;x<n;x++){
		for(int y=0;y<m;y++){
			if(arr[x]&(1<<y)) cnt[y]--;
		}
		
		int crit=n/2;
		int safe=0;
		int hold=0;
		for(int y=0;y<m;y++){
			if(cnt[y]>crit) safe++; 
			if(cnt[y]==crit) hold+=(1<<y);
		}
		
		//show2(x,x,safe,safe);
		//out(hold);
		
		pi2 take=dp(0,hold);
		//show2(aa,take.first.first,bb,take.first.second);
		//show2(cc,take.second.first,dd,take.second.second);
		if(take.first.second==x){
			safe+=take.second.first;
		}
		else safe+=take.first.first;
		
		for(int y=0;y<m;y++){
			if(arr[x]&(1<<y)) cnt[y]++;
		}
		
		cout << safe << "\n";
	}		
	
	
}
 
int32_t main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	int t=1;
	//cin >> t;
	while(t--){
		solve();
	}
}
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