#include <bits/stdc++.h>
using namespace std;
int n;
vector<int> v;
map<pair<int, vector<int> >, bool> mv;
int ax[] = {0, 1, 2, -1, -2, 0, 0, 0, 0};
int ay[] = {0, 0, 0, 0, 0, 1, 2, -1, -2};
int in(int y, int x) { return 0 <= y && y < 3 && 0 <= x && x < 3; }
int in2(int y, int x) { return 0 <= y && y < 4 && 0 <= x && x < 4; }
bool solve(int d, vector<int> m) {
  if (d == n - 1) return true;
  if (mv.count(pair<int, vector<int> >(d, m)))
    return mv[pair<int, vector<int> >(d, m)];
  int y = m[0] / 3, x = m[0] % 3;
  for (int k = 0; k < 9; k++) {
    int ny = y + ay[k], nx = x + ax[k];
    if (!in(ny, nx)) continue;
    bool f = 0;
    for (int i = 0; i < 2; i++) {
      for (int j = 0; j < 2; j++) {
        int ty = ny + i, tx = nx + j;
        if (!in2(ty, tx)) continue;
        if ((v[d + 1] >> (ty * 4 + tx)) & 1) f = 1;
      }
    }
    if (f) continue;
    vector<int> u(7);
    for (int i = 1; i < 7; i++) u[i] = m[i - 1];
    u[0] = ny * 3 + nx;
    if (d > 4) {
      int a[4][4] = {};
      for (int l = 0; l < 7; l++) {
        int dy = m[l] / 3, dx = m[l] % 3;
        for (int i = 0; i < 2; i++) {
          for (int j = 0; j < 2; j++) {
            int ty = dy + i, tx = dx + j;
            if (!in2(ty, tx)) continue;
            a[ty][tx]++;
          }
        }
      }
      for (int i = 0; i < 4; i++)
        for (int j = 0; j < 4; j++)
          if (!a[i][j]) f = 1;
    }
    if (f) continue;
    if (solve(d + 1, u)) return mv[pair<int, vector<int> >(d, m)] = true;
  }
  return mv[pair<int, vector<int> >(d, m)] = false;
}
signed main() {
  while (cin >> n, n) {
    v.resize(n);
    for (int i = 0; i < n; i++) {
      v[i] = 0;
      for (int j = 0, k; j < 16; j++) {
        cin >> k;
        v[i] += (1 << j) * k;
      }
    }
    vector<int> m(7, -1);
    mv.clear();
    m[0] = 4;
    bool f = 0;
    for (int i = 0; i < 2; i++) {
      for (int j = 0; j < 2; j++) {
        int ty = 1 + i, tx = 1 + j;
        if ((v[0] >> (ty * 4 + tx)) & 1) f = 1;
      }
    }
    if (f)
      cout << 0 << endl;
    else
      cout << solve(0, m) << endl;
  }
  return 0;
}
