如何根据原始索引合并两个向量？

def merge_vectors_by_index(vector1, vector2, index):
    # 确保向量长度相同
    if len(vector1) != len(vector2):
        raise ValueError("Vectors must have the same length.")

    # 创建新的空向量
    merged_vector = []

    # 遍历原始索引
    for i in index:
        # 获取对应位置的元素
        element1 = vector1[i]
        element2 = vector2[i]

        # 合并元素，这里以求和为例
        merged_element = element1 + element2

        # 将合并后的结果放入新的向量
        merged_vector.append(merged_element)

    return merged_vector

# 示例用法
vector1 = [1, 2, 3, 4, 5]
vector2 = [6, 7, 8, 9, 10]
index = [0, 2, 4]

merged_vector = merge_vectors_by_index(vector1, vector2, index)
print(merged_vector)