title: Number Non Negative Integral Solutions B C N
signature: function number_non_negative_integral_solutions_b_c_n(n)
source_py: def number_non_negative_integral_solutions_b_c_n(n):
      result = 0
      for i in range((n + 1)):
          for j in range((n + 1)):
              for k in range((n + 1)):
                  if (((i + j) + k) == n):
                      result += 1
      return result
source_cpp: int number_non_negative_integral_solutions_b_c_n(int n) {
    int result = 0;
    for ( int i = 0;
    i <= n;
    i ++ ) for ( int j = 0;
    j <= n - i;
    j ++ ) for ( int k = 0;
    k <= ( n - i - j );
    k ++ ) if ( i + j + k == n ) result ++;
    return result;
  }
question_info.entry_fn_name: number_non_negative_integral_solutions_b_c_n
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, 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(62, 2016)
      print(string.format("TEST-0...%s",result))
  
      result = driver(44, 1035)
      print(string.format("TEST-1...%s",result))
  
      result = driver(37, 741)
      print(string.format("TEST-2...%s",result))
  
      result = driver(81, 3403)
      print(string.format("TEST-3...%s",result))
  
      result = driver(14, 120)
      print(string.format("TEST-4...%s",result))
  
      result = driver(20, 231)
      print(string.format("TEST-5...%s",result))
  
      result = driver(76, 3003)
      print(string.format("TEST-6...%s",result))
  
      result = driver(72, 2701)
      print(string.format("TEST-7...%s",result))
  
      result = driver(96, 4753)
      print(string.format("TEST-8...%s",result))
  
      result = driver(52, 1431)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 2016, "inputs": {"n": 62}}, {"idx": 1, "outputs": 1035, "inputs": {"n": 44}}, {"idx": 2, "outputs": 741, "inputs": {"n": 37}}, {"idx": 3, "outputs": 3403, "inputs": {"n": 81}}, {"idx": 4, "outputs": 120, "inputs": {"n": 14}}, {"idx": 5, "outputs": 231, "inputs": {"n": 20}}, {"idx": 6, "outputs": 3003, "inputs": {"n": 76}}, {"idx": 7, "outputs": 2701, "inputs": {"n": 72}}, {"idx": 8, "outputs": 4753, "inputs": {"n": 96}}, {"idx": 9, "outputs": 1431, "inputs": {"n": 52}}]