如何通过点击索引进行上下箭头切换？Vue

<template>
  <div>
    <ul>
      <li v-for="(item, index) in indexList" :key="index" @click="changeIndex(index)">{{ item }}</li>
    </ul>
    <div>
      <button @click="prev">上一项</button>
      <button @click="next">下一项</button>
    </div>
  </div>
</template>

<script>
export default {
  data() {
    return {
      indexList: ['A', 'B', 'C', 'D', 'E'],
      currentIndex: 0
    };
  },
  methods: {
    changeIndex(index) {
      this.currentIndex = index;
    },
    prev() {
      if (this.currentIndex > 0) {
        this.currentIndex--;
      }
    },
    next() {
      if (this.currentIndex < this.indexList.length - 1) {
        this.currentIndex++;
      }
    }
  }
};
</script>

<template>
  <div>
    <ul>
      <li v-for="(item, index) in indexList" :key="index" @click="changeIndex(index)" :class="{ active: currentIndex === index }">{{ item }}</li>
    </ul>
    <div>
      <button @click="prev">上一项</button>
      <button @click="next">下一项</button>
    </div>
    <div>当前选中的索引：{{ indexList[currentIndex] }}</div>
  </div>
</template>