#include <cstdio>
#include <iostream>
#include <vector>
#include <algorithm>
#include <tuple>
using namespace std;
unsigned long X[100001];
int N, K, B;
vector<pair<int,int>> Bs;
vector<pair<int,int>> factorize(int n) {
  vector<pair<int,int>> ret;
  for(int i = 2; i <= n; i++) {
    int cnt = 0;
    while(n % i == 0) {
      n /= i;cnt++;
    }
    if(cnt > 0)ret.emplace_back(i, cnt);
  }
  return ret;
}
void gen_list() {
  for(int i = 1; i <= N; i++) {
    X[i] = 1 + ((X[i - 1] + 12345) * X[i - 1]) % 100000009;
  }
}
int solve_by_greedy() {
  vector<vector<long> > Xs(N + 1, vector<long>(3));
  for(int i = 0; i <= N; i++) {
    for(int j = 0; j < 3; j++) {
      unsigned long tmp2 = X[i];
      if(Bs[j].first == 1) {
        Xs[i][j] = 999999999;
      }else{
        while(tmp2 % Bs[j].first == 0) {
          tmp2 /= Bs[j].first;
          Xs[i][j]++;
        }
      }
    }
  }
  long answer = -1;
  for(int i = 0; i < 3; i++) {
    std::sort(Xs.begin(), Xs.end());
    vector<long> tmp(3);
    for(int j = 0; j < K; j++) {
      for(int k = 0; k < 3; k++) {
        tmp[k] += Xs[j][k];
      }
    }
    int t1 = Bs[0].second;
    int t2 = Bs[1].second;
    int t3 = Bs[2].second;
    long ret = tmp[0] / t1;
    //cout << tmp[0] << "," << tmp[1] << "," << tmp[2] << endl;
    //cout << Bs[0].first << "," << Bs[1].first << "," << Bs[3].first << endl;
    //cout << endl;
    if(ret <= tmp[1] / t2 && ret <= tmp[2] / t3) {
      if(answer == -1 || answer > ret) answer = ret;
    }
    std::rotate(Bs.begin(), Bs.begin() + 1, Bs.begin() + 3);
    for(int j = 0; j <= N; j++) {
      std::rotate(Xs[j].begin(), Xs[j].begin() + 1, Xs[j].begin() + 3);
    }
  }
  return answer;
}
int main() {
  int Q;
  scanf("%d", &Q);
  while(Q--) {
    scanf("%ld %d %d %d", &X[0], &N, &K, &B);
    gen_list(); 
    Bs = factorize(B);
    int fs = Bs.size();
    while(Bs.size() < 3) {
      Bs.emplace_back(1, 1);
    }
    int ret = solve_by_greedy();
    if(ret >= 0) {
      printf("%d\n", ret);
    } else {
      int t = 3;
      for(;;);
    }
  }
}