Problem: Problem

There are $ N $ Amidakuji with 3 vertical lines.
No matter which line you start from, the Amidakuji that ends at the starting line is considered a good Amidakuji.
You can select one or more Amidakuji and connect them vertically in any order.
Output "yes" if you can make a good Amidakuji, otherwise output "no".

There are $ w_i $ horizontal lines in the $ i $ th Amidakuji.
$ a_ {i, j} $ indicates whether the $ j $ th horizontal bar from the top of Amidakuji $ i $ extends from the central vertical line to the left or right.
If $ a_ {i, j} $ is 0, it means that it extends to the left, and if it is 1, it means that it extends to the right.

Constraints

The input satisfies the following conditions.

* $ 1 \ le N \ le 50 $
* $ 0 \ le w_i \ le 100 $
* $ a_ {i, j} $ is 0 or 1

Input

The input is given in the following format.


$ N $
$ w_1 $ $ a_ {1,1} $ $ a_ {1,2} $ ... $ a_ {1, w_1} $
$ w_2 $ $ a_ {2,1} $ $ a_ {2,2} $ ... $ a_ {2, w_2} $
...
$ w_N $ $ a_ {N, 1} $ $ a_ {N, 2} $ ... $ a_ {N, w_N} $


All inputs are given as integers.
$ N $ is given on the first line.
$ W_i $ and $ w_i $ $ a_ {i, j} $ are given on the following $ N $ line, separated by blanks.

Output

If you can make a good Amidakuji, it outputs "yes", otherwise it outputs "no".

Examples

Input

3
2 0 0
1 1
5 1 0 0 1 0


Output

yes


Input

2
1 1
1 0


Output

no

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
                                        #include<iostream>
                                        #include<cstdio>
                                        #include<vector>
                                        #include<queue>
                                        #include<map>
                                        #include<cstring>
                                        #include<string>
                                        #include <math.h>
                                        #include<algorithm>
                                    //    #include <boost/multiprecision/cpp_int.hpp>
                                        #include<functional>
                               #define int long long
                                        #define inf  1000000007
                                        #define pa pair<int,int>
                                        #define ll long long
                                        #define pal pair<double,double>
                                        #define ppap pair<pa,int>
                                  
                                        #define ssa pair<string,int>
                                        #define  mp make_pair
                                        #define  pb push_back
                                        #define EPS (1e-10)
                                        #define equals(a,b) (fabs((a)-(b))<EPS)
int dx[4]={0,-1,0,1};
int dy[4]={1,0,-1,0};
                                        using namespace std;
                               			class pa3{
                                        	public:
                                        	int x,y,z;
                                        	pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}
                                        	bool operator < (const pa3 &p) const{
                                        		if(x!=p.x) return x<p.x;
                                        		if(y!=p.y) return y<p.y;
                                        		 return z<p.z;
                                        		//return x != p.x ? x<p.x: y<p.y;
                                        	}
                               				bool operator > (const pa3 &p) const{
                                        		if(x!=p.x) return x>p.x;
                                        		if(y!=p.y) return y>p.y;
                                        		 return z>p.z;
                                        		//return x != p.x ? x<p.x: y<p.y;
                                        	}
                                        	bool operator == (const pa3 &p) const{
                                        		return x==p.x && y==p.y && z==p.z;
                                        	}
                                        		bool operator != (const pa3 &p) const{
                                        			return !( x==p.x && y==p.y && z==p.z);
                                        	}
                                        
                                        };
                                        
                                        class pa4{
                                        	public:
                                        	double x;
                                        	int y,z,w;
                                        	pa4(double x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}
                                        	bool operator < (const pa4 &p) const{
                                        		if(x!=p.x) return x<p.x;
                                        		if(y!=p.y) return y<p.y;
                                        		if(z!=p.z)return z<p.z;
                                        		return w<p.w;
                                        		//return x != p.x ? x<p.x: y<p.y;
                                        	}
                                        	bool operator > (const pa4 &p) const{
                                        		if(x!=p.x) return x>p.x;
                                        		if(y!=p.y) return y>p.y;
                                        		if(z!=p.z)return z>p.z;
                                        		return w>p.w;
                                        		//return x != p.x ? x<p.x: y<p.y;
                                        	}
                                        	bool operator == (const pa4 &p) const{
                                        		return x==p.x && y==p.y && z==p.z &&w==p.w;
                                        	}
                                        		
                                        
                                        };
                                        class pa2{
                                        	public:
                                        	int x,y;
                                        	pa2(int x=0,int y=0):x(x),y(y) {}
                                        	pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}
                                        	pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}
                                        	pa2 operator * (int a) {return pa2(x*a,y*a);}
                                        	bool operator < (const pa2 &p) const{
                                        		return x != p.x ? x<p.x: y<p.y;
                                        	}
                                        	bool operator > (const pa2 &p) const{
                                        		return x != p.x ? x>p.x: y>p.y;
                                        	}
                                        	bool operator == (const pa2 &p) const{
                                        		return abs(x-p.x)==0 && abs(y-p.y)==0;
                                        	}
                                        	bool operator != (const pa2 &p) const{
                                        		return !(abs(x-p.x)==0 && abs(y-p.y)==0);
                                        	}
                                        		
                                        
                                        };
                                        
                                               #define ppa pair<int,pas>
                                        class Point{
                                        	public:
                                        	double x,y;
                                        	Point(double x=0,double y=0):x(x),y(y) {}
                                        	Point operator + (Point p) {return Point(x+p.x,y+p.y);}
                                        	Point operator - (Point p) {return Point(x-p.x,y-p.y);}
                                        	Point operator * (double a) {return Point(x*a,y*a);}
                                        	Point operator / (double a) {return Point(x/a,y/a);}
                                        	double absv() {return sqrt(norm());}
                                        	double norm() {return x*x+y*y;}
                                        	bool operator < (const Point &p) const{
                                        		return x != p.x ? x<p.x: y<p.y;
                                        	}
                                        	bool operator == (const Point &p) const{
                                        		return fabs(x-p.x)<EPS && fabs(y-p.y)<EPS;
                                        	}
                                        };
                                        typedef Point Vector;
                                 #define pl pair<int,pas>
                                        struct Segment{
                                        Point p1,p2;
                                        };
                                         double dot(Vector a,Vector b){
                                        	return a.x*b.x+a.y*b.y;
                                        }
                                        double cross(Vector a,Vector b){
                                        	return a.x*b.y-a.y*b.x;
                                        }
                                    
            bool parareru(Point a,Point b,Point c,Point d){
            //	if(abs(cross(a-b,d-c))<EPS)cout<<"dd "<<cross(a-b,d-c)<<endl;
            	return abs(cross(a-b,d-c))<EPS;
            }
            double distance_ls_p(Point a, Point b, Point c) {
              if ( dot(b-a, c-a) < EPS ) return (c-a).absv();
              if ( dot(a-b, c-b) < EPS ) return (c-b).absv();
              return abs(cross(b-a, c-a)) / (b-a).absv();
            }
            bool is_intersected_ls(Segment a,Segment b) {
            	if(a.p1==b.p1||a.p2==b.p1||a.p1==b.p2||a.p2==b.p2) return false;
            	if(parareru((a.p2),(a.p1),(a.p1),(b.p2))&&parareru((a.p2),(a.p1),(a.p1),(b.p1))){
            //		cout<<"sss"<<endl;
            		if(dot(a.p1-b.p1,a.p1-b.p2)<EPS) return true;
            		if(dot(a.p2-b.p1,a.p2-b.p2)<EPS) return true;
            		if(dot(a.p1-b.p1,a.p2-b.p1)<EPS) return true;
            		if(dot(a.p1-b.p2,a.p2-b.p2)<EPS) return true;
            		return false;
            	}
              else return ( cross(a.p2-a.p1, b.p1-a.p1) * cross(a.p2-a.p1, b.p2-a.p1) < EPS ) && ( cross(b.p2-b.p1, a.p1-b.p1) * cross(b.p2-b.p1, a.p2-b.p1) < EPS );
            }
             
            double segment_dis(Segment a,Segment b){
            	if(is_intersected_ls(a,b))return 0;
            	double r=distance_ls_p(a.p1, a.p2, b.p1);
            	r=min(r,distance_ls_p(a.p1, a.p2, b.p2));
            	r=min(r,distance_ls_p(b.p1, b.p2, a.p2));
            	r=min(r,distance_ls_p(b.p1, b.p2, a.p1));
            	return r;
            }
            Point intersection_ls(Segment a, Segment b) {
              Point ba = b.p2-b.p1;
              double d1 = abs(cross(ba, a.p1-b.p1));
              double d2 = abs(cross(ba, a.p2-b.p1));
              double t = d1 / (d1 + d2);
             
              return a.p1 + (a.p2-a.p1) * t;
            }
             
                            string itos( int i ) {
                            ostringstream s ;
                            s << i ;
                            return s.str() ;
                            }
                             
                            int gcd(int v,int b){
                            	if(v>b) return gcd(b,v);
                            	if(v==b) return b;
                            	if(b%v==0) return v;
                            	return gcd(v,b%v);
                            }
             
                            double distans(double x1,double y1,double x2,double y2){
                            	double rr=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2);
                            	return sqrt(rr);
                            	
                            }
             /*               
            int pr[1000010];
            int inv[1000010];
            
            int beki(int wa,int rr,int warukazu){
            	if(rr==0) return 1%warukazu;
            	if(rr==1) return wa%warukazu;
            	if(rr%2==1) return (beki(wa,rr-1,warukazu)*wa)%warukazu;
            	int zx=beki(wa,rr/2,warukazu);
            	return (zx*zx)%warukazu;
            }
double bekid(double w,int r){
	if(r==0) return 1.0;
	if(r==1) return w;
	if(r%2) return bekid(w,r-1)*w;
	double f=bekid(w,r/2);
	return f*f;
}

            
			int comb(int nn,int rr){
				int r=pr[nn]*inv[rr];
				r%=inf;
				r*=inv[nn-rr];
				r%=inf;
				return r;
			}
            
            
            void gya(int ert){
            	pr[0]=1;
            	for(int i=1;i<=ert;i++){
            		pr[i]=(pr[i-1]*i)%inf;
            	}
           	for(int i=0;i<=ert;i++) inv[i]=beki(pr[i],inf-2,inf);
            	
            }
            */ 
			//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;            
             //sort(ve.begin(),ve.end(),greater<int>());
                                     //----------------kokomade tenpure------------
            //vector<double> ans(100000000),ans2(100000000)
/*
struct Segmin{
	//       1
	//   2        3
	// 4   5   6    7
	
	
	private:
	public:
	
	// (1<<15)=32768
	// 1<<16 = 65536
	// 1<<17 = 131072
	// 1<<18 = 262144
	
	int cor=(1<<17);
	
	vector<pa> vec;
	
	void shoki1(){
		
		vec.resize(2*cor+3, mp(0,0));
		for(int i=cor;i<2*cor;i++)vec[i].second=1;
	}
		void shoki2(){
			for(int i=cor-1;i>0;i--) {
				if(vec[2*i].first<vec[2*i+1].first) vec[i]=vec[2*i];
				else if(vec[2*i].first>vec[2*i+1].first)vec[i]=vec[2*i+1];
				else vec[i]=mp(vec[2*i].first,vec[2*i].second+vec[2*i+1].second);
			}
		}
		
	void updadd(int x,int w){
		//x ���ڂ� w���Z
		x+=cor;
		vec[x].first+=w;
		while(1){
			x/=2;
			if(x==0) break;
			if(vec[2*x].first<vec[2*x+1].first) vec[x]=vec[2*x];
			else if(vec[2*x].first>vec[2*x+1].first) vec[x]=vec[2*x+1];
			else vec[x]=mp(vec[2*x].first,vec[2*x].second+vec[2*x+1].second);
		}
		
	}
	
	void updchan(int x,int w){
		//x���ڂ�w�ɕύX
		x+=cor;
		vec[x].first=w;
		while(1){
			x/=2;
			if(x==0) break;
			if(vec[2*x].first<vec[2*x+1].first) vec[x]=vec[2*x];
			else if(vec[2*x].first>vec[2*x+1].first) vec[x]=vec[2*x+1];
			else vec[x]=mp(vec[2*x].first,vec[2*x].second+vec[2*x+1].second);
		}
		
	}
	// [a,b)
	// k-th node
	// k no kukanha [l,r)
	pa segmin(int a,int b,int k=1,int l=0,int r=-10){
		if(r<0)r=cor;
		
	//	cout<<a<<" "<<b<<" "<<k<<" "<<l<<" "<<r<<endl;
		
		if(a<=l && r<=b){
			return vec[k];
		}
		if(r<=a || b<=l){
			return mp((1ll<<31)-1,-1);
		}
		
		pa v1=segmin(a,b,k*2,l,(l+r)/2),v2=segmin(a,b,k*2+1,(l+r)/2,r);
		
		if(v1.first<v2.first)return v1;
		else if(v1.first>v2.first) return v2;
		else return mp(v1.first,v1.second+v2.second);
	}
	
};



struct Segmax{
	//       1
	//   2        3
	// 4   5   6    7
	
	
	private:
	public:
	
	// (1<<15)=32768
	// 1<<16 = 65536
	// 1<<17 = 131072
	// 1<<18 = 262144
	
	int cor=(1<<17);
	
	vector<pa> vec;
	
	void shoki1(){
		
		vec.resize(2*cor+3, mp(0,0));
		for(int i=cor;i<2*cor;i++)vec[i].second=1;
	}
		void shoki2(){
			for(int i=cor-1;i>0;i--) {
				if(vec[2*i].first>vec[2*i+1].first) vec[i]=vec[2*i];
				else if(vec[2*i].first<vec[2*i+1].first)vec[i]=vec[2*i+1];
				else vec[i]=mp(vec[2*i].first,vec[2*i].second+vec[2*i+1].second);
			}
		}
		
	void updadd(int x,int w){
		//x ���ڂ� w���Z
		x+=cor;
		vec[x].first+=w;
		while(1){
			x/=2;
			if(x==0) break;
			if(vec[2*x].first>=vec[2*x+1].first) vec[x]=vec[2*x];
			else vec[x]=vec[2*x+1];
		}
		
	}
	
	void updchan(int x,int w){
		//x���ڂ�w�ɕύX
		x+=cor;
		vec[x].first=w;
		while(1){
			x/=2;
			if(x==0) break;
			if(vec[2*x].first>vec[2*x+1].first) vec[x]=vec[2*x];
			else if(vec[2*x].first<vec[2*x+1].first) vec[x]=vec[2*x+1];
			else vec[x]=mp(vec[2*x].first,vec[2*x].second+vec[2*x+1].second);
		}
		
	}
	// [a,b)
	// k-th node
	// k no kukanha [l,r)
	pa segmax(int a,int b,int k=1,int l=0,int r=-10){
		if(r<0)r=cor;
		
	//	cout<<a<<" "<<b<<" "<<k<<" "<<l<<" "<<r<<endl;
		
		if(a<=l && r<=b){
			return vec[k];
		}
		if(r<=a || b<=l){
			return mp(-(1ll<<31),-1);
		}
		
		pa v1=segmax(a,b,k*2,l,(l+r)/2),v2=segmax(a,b,k*2+1,(l+r)/2,r);
		
		if(v1.first>v2.first)return v1;
		else if(v1.first<v2.first) return v2;
		else return mp(v1.first,v1.second+v2.second);
	}
	
};
*/
bool bo(string s,string t){
	if(s.length()<t.length()) return false;
	if(s.length()==t.length())return s==t;
	
	
	int it1=0,it2=0;
	
	for(int i=0;i<t.length();i++){
		if(it1==s.length()) return false;
		
		while(s[it1]!=t[i]){
		it1++;
			if(it1==s.length()) return false;
		}
	//	cout<<i<<" "<<it1<<endl;
		it1++;
	}
	return true;
	
}

int h,w,q;
string yaru(string s,int r){
	if(r==1) return s;
	
	string e=yaru(s,r-1);
	string ans=e;
	for(int i=0;i<s.length();i++){
		ans+=s[i];
		ans+=e;
		if(ans.length()>100020) return "===#$%";
	}
	//cout<<r<<" "<<ans<<endl;
	return ans;
}

map<string,int>ma;
string s[6]={"123","132","213","231","312","321"};

int ch(int i,int j){
string f="   ";
	for(int k=0;k<3;k++)for(int l=0;l<3;l++)if(s[i][k]==s[j][l])f[k]='0'+l+1;
	return ma[f];
}

signed main(){
ma["123"]=0;
	ma["132"]=1;
	ma["213"]=2;
	ma["231"]=3;
	ma["312"]=4;
	ma["321"]=5;
	
	int cnt[6]={0};
	
	int n;
	cin>>n;
	
	for(int g=0;g<n;g++){
	int f;
		cin>>f;
		string s="123";
		for(int i=0;i<f;i++){
			int sd;
		cin>>sd;
			if(sd==0)swap(s[0],s[1]);
			else swap(s[1],s[2]);
		}
	cnt[ma[s]]++;
	}
	
	
	if(cnt[0]>0){
	cout<<"yes"<<endl;
		return 0;
	}
	
	
	vector<int> ve2,ve;
		for(int i=1;i<=5;i++)ve2.pb(i);
	
		do{
			for(int i=1;i<=5;i++) {
				ve.clear();
				ve.pb(0);
				for(int k=0;k<i;k++)ve.pb(ve2[k]);
				ve.pb(0);
				int ar[6]={0};
				for(int j=0;j<ve.size()-1;j++){
					ar[ch(ve[j],ve[j+1])]++;
				
				}
				bool bo=true;
				for(int j=0;j<6;j++)if(ar[j]>cnt[j]) bo=false;
				if(bo){
				cout<<"yes"<<endl;
					return 0;
				}
			}
		
		}while(next_permutation(ve2.begin(),ve2.end()));
	cout<<"no"<<endl;
	
	
	return 0;
	
        }