#include <stdio.h>
#include <cmath>
#include <algorithm>
#include <cfloat>
#include <stack>
#include <queue>
#include <vector>
#include <string.h>
#include <set>
#include <bits/stdc++.h>
typedef long long int ll;
typedef unsigned long long int ull;
#define BIG_NUM 2000000000
#define MOD 1000000007
#define EPS 0.000000001
using namespace std;

int diff_row_sun[4] = {0,0,1,1},diff_col_sun[4] = {0,1,0,1};
int diff_row[9] = {-2,-1,0,0,0,0,0,1,2},diff_col[9] = {0,0,-2,-1,0,1,2,0,0};
int N;

struct Info{
	int row,col; //?????????????????§?¨?
	int rain_table[16],day;
};

bool rangeCheck(int row,int col){
	if(row >= 0 && row <= 2 && col >= 0 && col <= 2){
		return true;
	}else{
		return false;
	}
}

std::set<tuple<int,int,int,ull>> SET; //day,row,col,hash
decltype(SET)::iterator IT;


void func(){

	SET.clear();

	int table[N+1][16];

	for(int i = 1; i <= N; i++){
		for(int k = 0; k < 16; k++)scanf("%d",&table[i][k]);
	}

	Info first;
	first.row = 1;
	first.col = 1;
	for(int i = 0; i < 16; i++)first.rain_table[i] = 0;
	first.day = 1;

	bool FLG = false;
	bool check;

	//?????\????¢?????????¨???????????´??????1????????£????????????
	if(table[1][5] == 1 || table[1][6] == 1 || table[1][9] == 1 || table[1][10] == 1){
		printf("0\n");
		return;
	}

	queue<Info> Q;
	Q.push(first);

	int weather_map[4][4],row,col,tmp_row,tmp_col,next_row,next_col;

	while(!Q.empty()){

		//??¨????????£??????????????\??°????????????????????´??°
		for(int i = 0; i < 16; i++){
			Q.front().rain_table[i]++;
		}
		//??¨????????£?????\???0?????????
		Q.front().rain_table[4*Q.front().row+Q.front().col] = 0;
		Q.front().rain_table[4*Q.front().row+Q.front().col+1] = 0;
		Q.front().rain_table[4*(Q.front().row+1)+Q.front().col] = 0;
		Q.front().rain_table[4*(Q.front().row+1)+Q.front().col+1] = 0;

		//7??\??\?????¨?????????????????°???????????£????????????
		check = true;
		for(int i = 0; i < 16; i++){
			if(Q.front().rain_table[i] >= 7){
				check = false;
				break;
			}
		}

		if(!check){
			Q.pop();
			continue;
		}

		//????????¢??????
		if(Q.front().day >= N){
			FLG = true;
			break;
		}

		//?§??????????
		for(int a = 0; a < 9; a++){
			next_row = Q.front().row + diff_row[a];
			next_col = Q.front().col + diff_col[a];

			//?§????????????¶???:??????????????????????????????????????????
			//day??\??????????????¨???????????¶??????????????????
			row = 0,col = 0;
			for(int i = 0; i < 16; i++){
				weather_map[row][col++] = table[Q.front().day+1][i];
				if(col >= 4){
					col = 0;
					row++;
				}
			}

			//?§??????????????????????????????????1?????????
			if(rangeCheck(next_row,next_col)){
				check = true;
				for(int k = 0; k < 4; k++){
					tmp_row = next_row + diff_row_sun[k];
					tmp_col = next_col + diff_col_sun[k];
					if(weather_map[tmp_row][tmp_col] == 1){
						check = false;
						break;
					}
				}
				if(check){ //???????????\???????¨????
					ull pre = 0;
					ull current = 0;

					for(int i = 0; i < 16; i++){
						current = Q.front().rain_table[i] + pre*MOD;
						pre = current;
					}

				    auto Data = make_tuple(Q.front().day+1,next_row,next_col,pre);
				    if(SET.count(Data) != 0){
				    	check = false;
				    }else{
				    	SET.insert(Data);
				    }
				}

				if(check){
					Info next;
					next.row = next_row;
					next.col = next_col;
					for(int k = 0; k < 16; k++)next.rain_table[k] = Q.front().rain_table[k];
					next.day = Q.front().day+1;
					Q.push(next);
				}
			}
		}

		Q.pop();
	}

	if(!FLG){
		printf("0\n");
	}else{
		printf("1\n");
	}

}

int main(){

	while(true){
		scanf("%d",&N);
		if(N == 0)break;

		func();
	}

	return 0;
}