title: Maximize Volume Cuboid Given Sum Sides 1
signature: function maximize_volume_cuboid_given_sum_sides_1(s)
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(s, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(s) 
      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(8, 18)
      print(string.format("TEST-0...%s",result))
  
      result = driver(96, 32768)
      print(string.format("TEST-1...%s",result))
  
      result = driver(96, 32768)
      print(string.format("TEST-2...%s",result))
  
      result = driver(96, 32768)
      print(string.format("TEST-3...%s",result))
  
      result = driver(12, 64)
      print(string.format("TEST-4...%s",result))
  
      result = driver(95, 31744)
      print(string.format("TEST-5...%s",result))
  
      result = driver(72, 13824)
      print(string.format("TEST-6...%s",result))
  
      result = driver(81, 19683)
      print(string.format("TEST-7...%s",result))
  
      result = driver(42, 2744)
      print(string.format("TEST-8...%s",result))
  
      result = driver(13, 81)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def maximize_volume_cuboid_given_sum_sides_1(s):
      length = int((s / 3))
      s -= length
      breadth = (s / 2)
      height = (s - breadth)
      return int(((length * breadth) * height))
source_cpp: int maximize_volume_cuboid_given_sum_sides_1(int s) {
    int length = s / 3;
    s -= length;
    int breadth = s / 2;
    int height = s - breadth;
    return length * breadth * height;
  }