title: Check Number Power K Using Base Changing Method
signature: function check_number_power_k_using_base_changing_method(n, k)
source_py: def check_number_power_k_using_base_changing_method(n, k):
      oneSeen = False
      while (n > 0):
          digit = (n % k)
          if (digit > 1):
              return False
          if (digit == 1):
              if oneSeen:
                  return False
              oneSeen = True
          n //= k
      return True
source_cpp: bool check_number_power_k_using_base_changing_method(unsigned int n, unsigned int k) {
    bool oneSeen = false;
    while ( n > 0 ) {
      int digit = n % k;
      if ( digit > 1 ) return false;
      if ( digit == 1 ) {
        if ( oneSeen ) return false;
        oneSeen = true;
      }
      n /= k;
    }
    return true;
  }
question_info.entry_fn_name: check_number_power_k_using_base_changing_method
question_info.entry_cls_name: Solution
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.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, k, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(n, k) 
      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(64, 4, true)
      print(string.format("TEST-0...%s",result))
  
      result = driver(16, 2, true)
      print(string.format("TEST-1...%s",result))
  
      result = driver(27, 3, true)
      print(string.format("TEST-2...%s",result))
  
      result = driver(81, 72, false)
      print(string.format("TEST-3...%s",result))
  
      result = driver(1, 9, true)
      print(string.format("TEST-4...%s",result))
  
      result = driver(69, 17, false)
      print(string.format("TEST-5...%s",result))
  
      result = driver(8, 20, false)
      print(string.format("TEST-6...%s",result))
  
      result = driver(31, 79, false)
      print(string.format("TEST-7...%s",result))
  
      result = driver(43, 81, false)
      print(string.format("TEST-8...%s",result))
  
      result = driver(54, 89, false)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": true, "inputs": {"n": 64, "k": 4}}, {"idx": 1, "outputs": true, "inputs": {"n": 16, "k": 2}}, {"idx": 2, "outputs": true, "inputs": {"n": 27, "k": 3}}, {"idx": 3, "outputs": false, "inputs": {"n": 81, "k": 72}}, {"idx": 4, "outputs": true, "inputs": {"n": 1, "k": 9}}, {"idx": 5, "outputs": false, "inputs": {"n": 69, "k": 17}}, {"idx": 6, "outputs": false, "inputs": {"n": 8, "k": 20}}, {"idx": 7, "outputs": false, "inputs": {"n": 31, "k": 79}}, {"idx": 8, "outputs": false, "inputs": {"n": 43, "k": 81}}, {"idx": 9, "outputs": false, "inputs": {"n": 54, "k": 89}}]