title: Number Unique Rectangles Formed Using N Unit Squares
signature: int numberUniqueRectanglesFormedUsingNUnitSquares(int n) {
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 n, int expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(n), 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(34, 66); 
      cout << "TEST-" << 0 << "..."
           <<  result
           << "\n";
  
      result = driver(49, 104); 
      cout << "TEST-" << 1 << "..."
           <<  result
           << "\n";
  
      result = driver(41, 83); 
      cout << "TEST-" << 2 << "..."
           <<  result
           << "\n";
  
      result = driver(17, 28); 
      cout << "TEST-" << 3 << "..."
           <<  result
           << "\n";
  
      result = driver(67, 151); 
      cout << "TEST-" << 4 << "..."
           <<  result
           << "\n";
  
      result = driver(38, 76); 
      cout << "TEST-" << 5 << "..."
           <<  result
           << "\n";
  
      result = driver(59, 128); 
      cout << "TEST-" << 6 << "..."
           <<  result
           << "\n";
  
      result = driver(64, 144); 
      cout << "TEST-" << 7 << "..."
           <<  result
           << "\n";
  
      result = driver(61, 135); 
      cout << "TEST-" << 8 << "..."
           <<  result
           << "\n";
  
      result = driver(58, 127); 
      cout << "TEST-" << 9 << "..."
           <<  result
           << "\n";
  
      return 0;
  }
source_py: def number_unique_rectangles_formed_using_n_unit_squares(n):
      ans = 0
      for length in range(1, (int(math.sqrt(n)) + 1)):
          height = length
          while ((height * length) <= n):
              ans += 1
              height += 1
      return ans
source_cpp: int number_unique_rectangles_formed_using_n_unit_squares(int n) {
    int ans = 0;
    for ( int length = 1;
    length <= sqrt ( n );
    ++ length ) for ( int height = length;
    height * length <= n;
    ++ height ) ans ++;
    return ans;
  }