#include <bits/stdc++.h>
using namespace std;
int n;
long long sp, t[1010][6], v1[6], v2[6];
vector<int> ans;
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cin >> n;
  if (n > 100) {
    cout << 0 << '\n';
    return 0;
  }
  for (int a = 1; a <= n; a++) {
    for (int b = 0; b < 5; b++) cin >> t[a][b];
  }
  for (int b = 1; b <= n; b++) {
    bool blad = 0;
    for (int c = 1; c <= n; c++) {
      for (int d = 1; d <= n; d++) {
        if (b != c && c != d && b != d) {
          for (int e = 0; e < 5; e++) v1[e] = t[d][e] - t[b][e];
          for (int e = 0; e < 5; e++) v2[e] = t[c][e] - t[b][e];
          sp = 0;
          for (int e = 0; e < 5; e++) sp += v1[e] * v2[e];
          if (sp > 0) blad = 1;
        }
      }
    }
    if (!blad) ans.push_back(b);
  }
  cout << ans.size() << '\n';
  for (int a = 0; a < ans.size(); a++) cout << ans[a] << '\n';
  return 0;
}
