当我进入下一个问题时，是否有人可以帮助我保持单选按钮处于选中状态？

<input type="radio" id="option1" name="options" value="option1">
<label for="option1">Option 1</label>

<input type="radio" id="option2" name="options" value="option2">
<label for="option2">Option 2</label>

<input type="radio" id="option3" name="options" value="option3">
<label for="option3">Option 3</label>

const radioButtons = document.querySelectorAll('input[type="radio"]');

radioButtons.forEach(button => {
  button.addEventListener('change', function() {
    localStorage.setItem('selectedOption', this.value);
  });
});

document.addEventListener('DOMContentLoaded', function() {
  const selectedOption = localStorage.getItem('selectedOption');
  const radioButton = document.querySelector(`input[value="${selectedOption}"]`);
  
  if (radioButton) {
    radioButton.checked = true;
  }
});