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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#454699#8821. NightmarePhantomThresholdRE 945ms19572kbC++177.3kb2024-06-25 10:18:142024-06-25 10:18:14

Judging History

This is the latest submission verdict.

  • [2024-06-25 10:18:14]
  • Judged
  • Verdict: RE
  • Time: 945ms
  • Memory: 19572kb
  • [2024-06-25 10:18:14]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

ll n,mod;

inline ll ksm(ll a,ll x){
	ll ret=1;
	for (;x;x>>=1,a=a*a%mod) if (x&1) ret=ret*a%mod;
	return ret;	
}
inline ll inv(ll a){return ksm(a,mod-2);}

inline void add(ll &A,ll B){A+=B;if (A>=mod) A-=mod;}
inline void sub(ll &A,ll B){A-=B;if (A<0) A+=mod;}

struct matrix{
	ll m[505][505];
	matrix(){
		memset(m,0,sizeof(m));
	}
	void diag(){
		for (int i=1;i<=n+1;i++){
			for (int j=1;j<=n+1;j++){
				m[i][j]=(i==j);	
			}
		}
	}
	friend matrix operator * (const matrix &A,const matrix &B){
		matrix C;
		for (int i=1;i<=n+1;i++){
			for (int k=1;k<=n+1;k++){
				for (int j=1;j<=n+1;j++) (C.m[i][j]+=A.m[i][k]*B.m[k][j])%=mod;
			}
		}
		return C;
	}
	void add_row(int x,int y,ll k){
		for (int i=1;i<=n+1;i++) (m[y][i]+=m[x][i]*k)%=mod;
	}
	void add_col(int x,int y,ll k){
		for (int i=1;i<=n+1;i++) (m[i][y]+=m[i][x]*k)%=mod;
	}
	void swap_row(int x,int y){
		for (int i=1;i<=n+1;i++) swap(m[y][i],m[x][i]);
	}
	void swap_col(int x,int y){
		for (int i=1;i<=n+1;i++) swap(m[i][y],m[i][x]);
	}
	void mul_row(int x,ll k){
		for (int i=1;i<=n+1;i++) m[x][i]=m[x][i]*k%mod;
	}
	void mul_col(int x,ll k){
		for (int i=1;i<=n+1;i++) m[i][x]=m[i][x]*k%mod;
	}
	matrix turn(){
		matrix ans;
		for (int i=1;i<=n+1;i++){
			for (int j=1;j<=n+1;j++){
				ans.m[i][j]=m[j][i];
			}
		}
		return ans;
	}
	void display(){
		for (int i=1;i<=n+1;i++){
			for (int j=1;j<=n+1;j++){
				cerr << m[i][j] << " ";	
			}
			cerr << endl;
		}
	}
};

matrix G,oriG;
matrix P,Pbase;
matrix PTP;

const int maxn=1000000;
ll sq[maxn+50];
ll g=1,ig=1;
ll gx,gy;

void getg(){
	for (;g<mod;g++){
		bool flag=1;
		for (int i=1;i<mod-1;i++) if (ksm(g,i)==1){flag=0;break;}
		if (flag){
			ig=inv(g);
			for (ll i=0;i<mod;i++){
				ll j2=(g-i*i%mod+mod)%mod;
				if (sq[j2]!=-1){
					gx=i;
					gy=sq[j2];
					break;
				}
			}
			return;
		}
	}
}

int main(){
	cin >> n >> mod;
	for (int i=0;i<mod;i++) sq[i]=-1;
	for (int i=0;i<=mod/2;i++) sq[i*i%mod]=i;
	
	getg();
	
	for (int i=1;i<=n;i++){
		for (int j=1;j<=n;j++){
			cin >> oriG.m[i][j];
			G.m[i][j]=oriG.m[i][j];
		}
	}
	P.diag();
	int rk=0;
	for (int i=1;i<=n;i++){
		
//		cerr << "-------stage1---------" << endl;
//		cerr << "----i : " << i << endl;
		
		if (G.m[i][i]==0){
			int pos=0;
			for (int j=i+1;j<=n;j++){
				if (G.m[j][j]!=0){
					pos=j;
					break;
				}
			}
			if (pos!=0){
				P.swap_col(i,pos);
				G.swap_row(i,pos);
				G.swap_col(i,pos);
			}	
		}
		
		if (G.m[i][i]!=0){
			ll iv=inv(G.m[i][i]);
			for (int j=i+1;j<=n;j++){
				ll coef=iv*G.m[j][i]%mod;
				P.add_col(j,i,coef);
				G.add_row(i,j,mod-coef);
				G.add_col(i,j,mod-coef);	
			}
			ll sqiv=sq[iv];
			if (sqiv==-1) sqiv=sq[iv*g%mod];
			P.mul_col(i,inv(sqiv));
			G.mul_row(i,sqiv);
			G.mul_col(i,sqiv);
		}
		else if (i<n){
			{
				int pos=0;
				for (int j=i+1;j<=n;j++) if (G.m[j][i]!=0){pos=j;break;}
				if (pos!=0){
					P.swap_col(i+1,pos);
					G.swap_row(i+1,pos);
					G.swap_col(i+1,pos);
				}
			}
			if (G.m[i+1][i]==0) continue;
			ll iv=inv(G.m[i+1][i]);
			for (int j=i+2;j<=n;j++){
				ll coef=iv*G.m[j][i]%mod;
				P.add_col(j,i+1,coef);
				G.add_row(i+1,j,mod-coef);
				G.add_col(i+1,j,mod-coef);	
			}
			for (int j=i+2;j<=n;j++){
				ll coef=iv*G.m[j][i+1]%mod;
				P.add_col(j,i,coef);
				G.add_row(i,j,mod-coef);
				G.add_col(i,j,mod-coef);	
			}
			
//			{
//				cerr << "mid--" << endl;
//				cerr << "G : " << endl;
//				G.display();
//				cerr << "P : " << endl;
//				P.display();
//				cerr << "PGPT : " << endl;
//				matrix tmp=P*G*P.turn();
//				tmp.display();
//			}
			
			if (mod!=2){
				ll i2=inv(2);
				P.add_col(i,i+1,mod-1);
				G.add_row(i+1,i,1);
				G.add_col(i+1,i,1);
				
				P.add_col(i+1,i,i2);
				G.add_row(i,i+1,mod-i2);
				G.add_col(i,i+1,mod-i2);
				
				ll sqiv=sq[inv(G.m[i][i])];
				if (sqiv==-1) sqiv=sq[inv(G.m[i][i])*g%mod];
				P.mul_col(i,sqiv);
				G.mul_row(i,sqiv);
				G.mul_col(i,sqiv);
				
				P.mul_col(i+1,sqiv);
				G.mul_row(i+1,sqiv);
				G.mul_col(i+1,sqiv);
			}
			i++;
		}
//		{
//			cerr << "res--" << endl;
//			cerr << "G : " << endl;
//			G.display();
//			cerr << "P : " << endl;
//			P.display();
//			cerr << "PGPT : " << endl;
//			matrix tmp=P*G*P.turn();
//			tmp.display();
//		}
	}
	
	if (mod!=2){
		int rk1=0;
		for (int i=1;i<=n;i++) if (G.m[i][i]==g){
			rk1++;
			P.swap_col(i,rk1);
			G.swap_row(i,rk1);
			G.swap_col(i,rk1);	
		}
		rk=rk1;
		for (int i=rk1+1;i<=n;i++) if (G.m[i][i]==1){
			rk++;
			P.swap_col(i,rk);
			G.swap_row(i,rk);
			G.swap_col(i,rk);	
		}
		
//		cerr << "g,rk1,rk : " << g << " " << rk1 << " " << rk << endl;
//		cerr << "gx,gy : " << gx << " " << gy << endl;
//		{
//			cerr << "-------stage2---------" << endl;
//			cerr << "G : " << endl;
//			G.display();
//			cerr << "P : " << endl;
//			P.display();
//			cerr << "PGPT : " << endl;
//			matrix tmp=P*G*P.turn();
//			tmp.display();
//		}
		
		if (rk1%2==1){
			rk++;
			for (int i=1;i<=n+1;i++) P.m[i][rk]=0;
		}
		for (int i=1;i<=rk1;i+=2){
			if (i!=rk1){
				for (int j=1;j<=n;j++){
					ll tmpA=(P.m[j][i]*gx+P.m[j][i+1]*(mod-gy))%mod;
					ll tmpB=(P.m[j][i]*gy+P.m[j][i+1]*gx)%mod;
					P.m[j][i]=tmpA;
					P.m[j][i+1]=tmpB;
				}
				G.m[i][i]=G.m[i+1][i+1]=1;
			}
			else{
				for (int j=1;j<=n;j++){
					ll tmpA=(P.m[j][i]*gx+P.m[j][rk]*(mod-gy))%mod;
					ll tmpB=(P.m[j][i]*gy+P.m[j][rk]*gx)%mod;
					P.m[j][i]=tmpA;
					P.m[j][rk]=tmpB;
				}
				G.m[i][i]=1;
			}
//			{
//				cerr << "-------stage3---------" << endl;
//				cerr << "----i : " << i << endl;
//				cerr << "G : " << endl;
//				G.display();
//				cerr << "P : " << endl;
//				P.display();
//				cerr << "PGPT : " << endl;
//				matrix tmp=P*G*P.turn();
//				tmp.display();
//			}
		}
	}
	else{
		int rk1=0;
		for (int i=1;i<n;i++) if (G.m[i][i]==0 && G.m[i+1][i]==1){
			rk1+=2;
			P.swap_col(i,rk1-1);
			G.swap_row(i,rk1-1);
			G.swap_col(i,rk1-1);
			P.swap_col(i+1,rk1);
			G.swap_row(i+1,rk1);
			G.swap_col(i+1,rk1);	
		}
		rk=rk1;
		for (int i=rk1+1;i<=n;i++) if (G.m[i][i]==1){
			rk++;
			P.swap_col(i,rk);
			G.swap_row(i,rk);
			G.swap_col(i,rk);	
		}
//		assert(!(rk1==rk && rk==n));
		
//		cerr << "-----------------" << endl;
//		cerr << "G : " << endl;
//		G.display();
//		cerr << "P : " << endl;
//		P.display();
//		cerr << "PGPT : " << endl;
//		matrix tmp=P*G*P.turn();
//		tmp.display();
		
		rk=max(rk,rk1+1);
		if (G.m[rk][rk]==0){
			for (int i=1;i<=n+1;i++) P.m[i][rk]=0;
		}
		for (int i=1;i<=rk1;i+=2){
			for (int j=1;j<=n;j++){
				ll A=P.m[j][i];
				ll B=P.m[j][i+1];
				ll C=P.m[j][rk];
				
				P.m[j][i]=(A+C)%mod;
				P.m[j][i+1]=(A+B+C)%mod;
				P.m[j][rk]=(B+C)%mod;
			}
			G.swap_row(i+1,i);
		}
	}
	
	for (int i=1;i<=n;i++){
		for (int j=rk+1;j<=n+1;j++){
			P.m[i][j]=0;
		}
	}
	for (int i=1;i<=n+1;i++) P.m[n+1][i]=0;
	
	cout << rk << "\n";
	for (int i=1;i<=n;i++){
		for (int j=1;j<=rk;j++){
			cout << P.m[i][j] << " \n"[j==rk];
		}
	}
	
//	cerr << "------check---------" << endl;
	PTP=P*P.turn();
	for (int i=1;i<=n;i++){
		for (int j=1;j<=n;j++){
			if (PTP.m[i][j]!=oriG.m[i][j]){
				assert(0);	
			}
		}
	}
//	PTP.display();
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 4ms
memory: 18164kb

input:

2 2
1 1
1 1

output:

1
1
1

result:

ok accepted

Test #2:

score: 0
Accepted
time: 0ms
memory: 18560kb

input:

3 5
4 4 3
4 4 3
3 3 2

output:

2
3 0
3 0
1 1

result:

ok accepted

Test #3:

score: 0
Accepted
time: 922ms
memory: 19508kb

input:

500 2
1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 ...

output:

423
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #4:

score: 0
Accepted
time: 937ms
memory: 17756kb

input:

500 2
0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 1 ...

output:

494
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #5:

score: 0
Accepted
time: 945ms
memory: 19572kb

input:

500 2
0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 ...

output:

494
1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #6:

score: 0
Accepted
time: 922ms
memory: 18384kb

input:

500 2
0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 ...

output:

425
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #7:

score: 0
Accepted
time: 930ms
memory: 18256kb

input:

500 2
1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 ...

output:

446
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #8:

score: 0
Accepted
time: 932ms
memory: 18408kb

input:

500 2
0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 ...

output:

497
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #9:

score: 0
Accepted
time: 933ms
memory: 18656kb

input:

500 2
0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 ...

output:

469
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #10:

score: 0
Accepted
time: 935ms
memory: 19196kb

input:

500 2
0 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 ...

output:

501
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #11:

score: 0
Accepted
time: 923ms
memory: 18924kb

input:

500 2
0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 ...

output:

435
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #12:

score: 0
Accepted
time: 929ms
memory: 18004kb

input:

500 2
0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 ...

output:

455
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #13:

score: 0
Accepted
time: 932ms
memory: 18000kb

input:

500 2
0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 1 ...

output:

493
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #14:

score: 0
Accepted
time: 917ms
memory: 18112kb

input:

500 2
0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 ...

output:

449
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #15:

score: 0
Accepted
time: 926ms
memory: 18668kb

input:

500 2
0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 ...

output:

455
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #16:

score: 0
Accepted
time: 926ms
memory: 17800kb

input:

500 2
0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 ...

output:

449
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #17:

score: 0
Accepted
time: 929ms
memory: 17720kb

input:

500 2
0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 ...

output:

451
0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok accepted

Test #18:

score: -100
Runtime Error

input:

500 586939
348375 543104 2613 525830 529938 63001 57038 406207 446773 47968 73017 238901 268124 473469 570747 217880 286012 142821 179125 504343 438813 105553 332560 137383 123166 585260 335875 279206 541274 318826 12120 49682 487559 275080 491437 102596 71097 184988 184272 439469 251082 388754 2144...

output:


result: