#include <cstdio>
#include <cstring>
#include <iostream>

using namespace std;

int n;
int need[400][5][5];
int dp[400][4][4][8][8][8][8];
int xc[9] = {-1, 0, -2, 0, 2, 0, 1, 0, 0};
int yc[9] = {0, -1, 0, -2, 0, 2, 0, 1, 0};

bool check(int day, int x, int y) {
	for (int i = x; i <= x + 1; i++) {
		for(int j = y; j <= y + 1; j++) {
			if(need[day][i][j] == 1) {
				return false;
			} 
		}
	}
	return true;
}

int dfs (int day, int x, int y, int zs, int zx, int ys, int yx) {
	// cout << day << ' ' << x << ' ' << y << ' ' << zs << ' ' << zx << ' ' << ys << ' ' << yx << endl;
	if (dp[day][x][y][zs][zx][ys][yx] != -1) {
		return dp[day][x][y][zs][zx][ys][yx];
	}

	if (!check (day, x, y)) {
		return 0;
	}
	if (zs >= 7 || zx >= 7 || ys >= 7 || yx >= 7) {
		return 0;
	}
	if (day == n) {
		return 1;
	}

	int res = 0;
	for (int i = 0; i < 9; i++) {
		int xx = x + xc[i];
		int yy = y + yc[i];

		if (1 <= xx && xx <= 3 && 1 <= yy && yy <= 3) {
			int new_zs = (xx == 1 && yy == 1) ? 0 : zs + 1;
			int new_zx = (xx == 3 && yy == 1) ? 0 : zx + 1;
			int new_ys = (xx == 1 && yy == 3) ? 0 : ys + 1;
			int new_yx = (xx == 3 && yy == 3) ? 0 : yx + 1;
			res |= dfs (day + 1, xx, yy, new_zs, new_zx, new_ys, new_yx);
		}
	}

	dp[day][x][y][zs][zx][ys][yx] = res;
	return res;
}

int main () {
	
	freopen ("weather_forecast.in", "r", stdin);
	freopen ("weather_forecast.out", "w", stdout);

	while (cin >> n, n) {
		memset (dp, -1, sizeof (dp));
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <= 4; j++) {
				for (int k = 1; k <= 4; k++) {
					cin >> need[i][j][k];
				}
			}
		}
		cout << dfs (1, 2, 2, 1, 1, 1, 1) << endl;
	}
	
	return 0;
}