title: Number Unique Rectangles Formed Using N Unit Squares
signature: function number_unique_rectangles_formed_using_n_unit_squares(n)
test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(n) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver(34, 66)
      print(string.format("TEST-0...%s",result))
  
      result = driver(49, 104)
      print(string.format("TEST-1...%s",result))
  
      result = driver(41, 83)
      print(string.format("TEST-2...%s",result))
  
      result = driver(17, 28)
      print(string.format("TEST-3...%s",result))
  
      result = driver(67, 151)
      print(string.format("TEST-4...%s",result))
  
      result = driver(38, 76)
      print(string.format("TEST-5...%s",result))
  
      result = driver(59, 128)
      print(string.format("TEST-6...%s",result))
  
      result = driver(64, 144)
      print(string.format("TEST-7...%s",result))
  
      result = driver(61, 135)
      print(string.format("TEST-8...%s",result))
  
      result = driver(58, 127)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
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;
  }