title: Minimize The Sum Of Digits Of A And B Such That A B N
signature: function minimize_the_sum_of_digits_of_a_and_b_such_that_a_b_n(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(2, 2)
      print(string.format("TEST-0...%s",result))
  
      result = driver(39, 12)
      print(string.format("TEST-1...%s",result))
  
      result = driver(31, 4)
      print(string.format("TEST-2...%s",result))
  
      result = driver(45, 9)
      print(string.format("TEST-3...%s",result))
  
      result = driver(35, 8)
      print(string.format("TEST-4...%s",result))
  
      result = driver(94, 13)
      print(string.format("TEST-5...%s",result))
  
      result = driver(67, 13)
      print(string.format("TEST-6...%s",result))
  
      result = driver(50, 5)
      print(string.format("TEST-7...%s",result))
  
      result = driver(4, 4)
      print(string.format("TEST-8...%s",result))
  
      result = driver(63, 9)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def minimize_the_sum_of_digits_of_a_and_b_such_that_a_b_n(n):
      sum = 0
      while (n > 0):
          sum += (n % 10)
          n //= 10
      if (sum == 1):
          return 10
      return sum
source_cpp: int minimize_the_sum_of_digits_of_a_and_b_such_that_a_b_n(int n) {
    int sum = 0;
    while ( n > 0 ) {
      sum += ( n % 10 );
      n /= 10;
    }
    if ( sum == 1 ) return 10;
    return sum;
  }