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0 0 0 0 1 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 0 0 0
12
0 0 0 0 0 0 0 0 0 0 0 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
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 1 0 1 0 0 0
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 1 1 0 0 0
0 0 1 0 1 0 0 1 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0


#include<iostream>

// code 100/100
// Backtrack (trả lại visit)

using namespace std;
int tc,n,map[12][12], visited[12][12];
int dx[4]={-1,0,1,0},dy[4]={0,1,0,-1}; // trên, phải, xuống, trái
int chip[2][12], minn=987654,cnt=0,dai=0;

bool checkMap(int x, int y){
    return (x<n && y<n && x>=0 && y>=0);
}

bool checkHuong (int x, int y, int hgx, int hgy){
	int tempx = x+hgx;
	int tempy = y+hgy;
	while(checkMap(tempx,tempy)){
		if(visited[tempx][tempy]==1){
			return false;
		}
		tempx += hgx;
		tempy += hgy;
	}
	return true;
}
void visit(int x, int y, int hgx, int hgy, int val){
	int tempx = x+hgx;
	int tempy = y+hgy;
    dai=0;
    while(checkMap(tempx,tempy) && map[tempx][tempy]==0){
        dai++;
        visited[tempx][tempy]+=val; // đánh dấu ô đã đi qua
		tempx += hgx;
		tempy += hgy;
    }
}
void BT(int xx,int sum){ // chip, sum
    if(sum>minn) return;
    if(xx==cnt){
        if(sum<minn) minn=sum;
        return;
    }
    int x=chip[0][xx];
    int y=chip[1][xx];
    if(x==-1 && y==-1){ // chip(-1,-1) là ko thể nối nguồn
        BT(xx+1,sum);
    }
    else{
        for(int i=0;i<4;i++){ // đi 4 hướng
            if(checkHuong(x,y,dx[i],dy[i]) ){
                visit(x,y,dx[i],dy[i],1);
                BT(xx+1,sum+dai);
                visit(x,y,dx[i],dy[i],-1); // trả lại visit
            }
        }
        return;
    }
}
int main(){
    
    cin>>tc;
    for(int t=1;t<=tc;t++){
        cin>>n;
        minn=987654;
        cnt=0;
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
                visited[i][j]=0;
                cin>>map[i][j];
                if(map[i][j]==1){
                    if(i==0 || i==n-1 || j==0 ||j==n-1){}
                    else { // chỉ lưu các chip trong bo
                        chip[0][cnt]=i;
                        chip[1][cnt]=j;
                        cnt++;
                    }
                    visited[i][j]=1;
                }
            }
        }
        for(int i=0;i<cnt;i++){ // check tất cả các chip theo 4 hướng
            bool ch[4];
            for(int j=0;j<4;j++){ // check 4 hướng cửa chip
                ch[j]=checkHuong(chip[0][i],chip[1][i],dx[j],dy[j]);
            }
            if(!ch[0] && !ch[1] && !ch[2] && !ch[3] ){ // chip ko đi được hướng nào cả
                chip[0][i]=-1;
                chip[1][i]=-1;
            }
        }
        BT(0,0);
        if(minn==987654) cout<<"#"<<t<< " "<<0<<endl;
        else {
            cout<<"#"<<t<<" "<<minn<<endl;
        }
    }
	
    return 0;
}


#include<iostream>


using namespace std;
int n;
int arr[20][20];
int arrC[200][2];
int visit[20][20];
int step=0;
int ans=1000000;
int dx[]= {-1,0,1,0};
int dy[]= {0,1,0,-1};
void reset(){
	int h=0;
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			visit[i][j]=0;
		}
	}
}

bool check (int v, int d){
	int tempx = arrC[v][0]+dx[d];
	int tempy = arrC[v][1]+dy[d];
	while(tempx >=0 && tempx<n && tempy >=0&&tempy<n){
		if(visit[tempx][tempy]==1){
			return false;
		}
		tempx = tempx+dx[d];
		tempy= tempy+dy[d];
	}

	return true;
}

int setWires(int v, int d){
	int l=0;
	int tempx = arrC[v][0]+dx[d];
	int tempy = arrC[v][1]+dy[d];

	while(tempx >=0 && tempx < n && tempy >=0 && tempy < n){
		visit[tempx][tempy]=1- visit[tempx][tempy];
		l++;
		tempx = tempx+dx[d];
		tempy= tempy+dy[d];

	}

	return l;
}
void Try(int v,int sum){
	if(v==step){
		if(sum<ans){
			ans=sum;
		}
		return;
	}

	for(int i=0;i<4;i++){
		if(check(v,i)){
			sum+= setWires(v,i);
			Try(v+1, sum);
			sum-=  setWires(v,i);
		}
	}
}
int main(){
	//freopen("input.txt","r",stdin);
	int t;
	cin>>t;
	for(int test=1;test<=t;test++){
		cin>>n;
		step=0;
		reset();
		for(int i=0;i<n;i++){
			for(int j=0;j<n;j++){
				cin>>arr[i][j];
				if(arr[i][j]==1){
					arrC[step][0]=i;
					arrC[step][1]=j;
					visit[i][j]=1;
					step++;
				}
			}
		}
		 ans=1000000;
		 Try(0,0);
         if(ans==1000000){
			 ans=-1;
		 }
		 cout<<"#"<<test<<" "<<ans<<endl;
	}
	return 0;

}

#include<iostream>


using namespace std;
int n;
int arr[20][20];
int arrC[200][2];
int visit[20][20];
int step=0;
int ans2=1000000;
int ans=1000000;
int dx[]= {-1,0,1,0};
int dy[]= {0,1,0,-1};
bool full =false;
void reset(){
	int h=0;
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			visit[i][j]=0;
		}
	}
}

bool check (int v, int d){
	int tempx = arrC[v][0]+dx[d];
	int tempy = arrC[v][1]+dy[d];
	while(tempx >=0 && tempx<n && tempy >=0&&tempy<n){
		if(visit[tempx][tempy]==1){
			return false;
		}
		tempx = tempx+dx[d];
		tempy= tempy+dy[d];
	}

	return true;
}

int setWires(int v, int d){
	int l=0;
	int tempx = arrC[v][0]+dx[d];
	int tempy = arrC[v][1]+dy[d];

	while(tempx >=0 && tempx < n && tempy >=0 && tempy < n){
		visit[tempx][tempy]=1- visit[tempx][tempy];
		l++;
		tempx = tempx+dx[d];
		tempy= tempy+dy[d];

	}

	return l;
}
void Try(int v,int sum, int s){
	if(v==step){
		if(s==v){
			if(sum<ans){
				ans=sum;
			}
		}
		else{
			if(sum<ans2){
				ans2=sum;
			}
		}
		return;
	}
	int flag =true;
	for(int i=0;i<4;i++){
		if(check(v,i)){
			flag=false;
			sum+= setWires(v,i);
			Try(v+1, sum,s+1);
			sum-=  setWires(v,i);
		}
	}
	if(flag){
		Try(v+1, sum,s);
	}
}
int main(){
	//freopen("input.txt","r",stdin);
	int t;
	cin>>t;
	for(int test=1;test<=t;test++){
		cin>>n;
		step=0;
		reset();
		for(int i=0;i<n;i++){
			for(int j=0;j<n;j++){
				cin>>arr[i][j];
				if(arr[i][j]==1){
					arrC[step][0]=i;
					arrC[step][1]=j;
					visit[i][j]=1;
					step++;
				}
			}
		}
		 ans=1000000;
		 ans2=1000000;
		 Try(0,0,0);
		 if(ans==1000000){
			 ans = ans2;
		 }
		 cout<<"#"<<test<<" "<<ans<<endl;
	}
	return 0;

}