title: Count Factorial Numbers In A Given Range
signature: int countFactorialNumbersInAGivenRange(int low, int high) {
test_code: #include <algorithm>
  #include <assert.h>
  #include <cstdlib>
  #include <iostream>
  #include <map>
  #include <set>
  #include <string>
  #include <tuple> 
  #include <unordered_map>
  #include <vector>
  #include <math.h>
  #include <cmath>
  #include <bits/stdc++.h>
  #include <numeric>
  #include <functional>
  
  using namespace std;
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  bool validateSolution(int actual, int expected){
      return actual == expected;
  }
  
  string driver(int low, int high, int expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(low, high), expected)){
              return "PASSED";
          }
          return "FAILED";
      }
      catch (const std::overflow_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::runtime_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::exception& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (...)
      {
          return "UNK_ERROR";
      }
  }
  
  int main() {
      string result = "";
  
      result = driver(57, 79, 0); 
      cout << "TEST-" << 0 << "..."
           <<  result
           << "\n";
  
      result = driver(57, 21, 0); 
      cout << "TEST-" << 1 << "..."
           <<  result
           << "\n";
  
      result = driver(31, 37, 0); 
      cout << "TEST-" << 2 << "..."
           <<  result
           << "\n";
  
      result = driver(62, 87, 0); 
      cout << "TEST-" << 3 << "..."
           <<  result
           << "\n";
  
      result = driver(49, 98, 0); 
      cout << "TEST-" << 4 << "..."
           <<  result
           << "\n";
  
      result = driver(82, 76, 0); 
      cout << "TEST-" << 5 << "..."
           <<  result
           << "\n";
  
      result = driver(31, 45, 0); 
      cout << "TEST-" << 6 << "..."
           <<  result
           << "\n";
  
      result = driver(5, 52, 2); 
      cout << "TEST-" << 7 << "..."
           <<  result
           << "\n";
  
      result = driver(76, 43, 0); 
      cout << "TEST-" << 8 << "..."
           <<  result
           << "\n";
  
      result = driver(55, 6, 0); 
      cout << "TEST-" << 9 << "..."
           <<  result
           << "\n";
  
      return 0;
  }
source_py: def count_factorial_numbers_in_a_given_range(low, high):
      fact = 1
      x = 1
      while (fact < low):
          fact = (fact * x)
          x += 1
      res = 0
      while (fact <= high):
          res += 1
          fact = (fact * x)
          x += 1
      return res
source_cpp: int count_factorial_numbers_in_a_given_range(int low, int high) {
    int fact = 1, x = 1;
    while ( fact < low ) {
      fact = fact * x;
      x ++;
    }
    int res = 0;
    while ( fact <= high ) {
      res ++;
      fact = fact * x;
      x ++;
    }
    return res;
  }