#include <bits/stdc++.h>
using namespace std;
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  ;
  long long i, j, k, n, prev = 1, temp = 1, a = 1, b = 1, c, t, ans;
  vector<long long> vec, choto, boro;
  vec.push_back(1);
  vec.push_back(1);
  for (long long i = 0; i < 100; i++) {
    c = vec[i] + vec[i + 1];
    vec.push_back(c);
  }
  cin >> t;
  boro.push_back(0);
  choto.push_back(1);
  choto.push_back(0);
  for (long long i = 0; i < 100; i++) {
    c = vec[i];
    boro.push_back(c);
    choto.push_back(c);
  }
  while (t--) {
    cin >> a >> b >> n;
    if (b > a) swap(a, b);
    if (n < a)
      cout << "0"
           << "\n";
    else {
      for (long long i = 0; i < 100; i++) {
        temp = boro[i] * a + choto[i] * b;
        if (temp > n) {
          ans = i - 1;
          break;
        }
      }
      cout << ans << "\n";
    }
  }
}
