如何按字母顺序和小写字母优先排序

def compare(word1, word2):
    # 先将两个单词转换为小写字母
    word1 = word1.lower()
    word2 = word2.lower()

    # 比较两个单词的首字母
    if word1 < word2:
        return -1
    elif word1 > word2:
        return 1

    # 如果首字母相同，则比较单词的长度
    if len(word1) < len(word2):
        return -1
    elif len(word1) > len(word2):
        return 1

    # 如果长度也相同，则比较单词的内容
    if word1 < word2:
        return -1
    elif word1 > word2:
        return 1

    # 如果内容也相同，则认为两个单词相等
    return 0

def quick_sort(words):
    if len(words) <= 1:
        return words
    else:
        pivot = words[0]
        less = [x for x in words[1:] if compare(x, pivot) == -1]
        greater = [x for x in words[1:] if compare(x, pivot) == 1]
        equal = [x for x in words[1:] if compare(x, pivot) == 0]
        return quick_sort(less) + [pivot] + quick_sort(greater)

words = ["banana", "apple", "Orange", "grape", "cherry"]
sorted_words = quick_sort(words)
print(sorted_words)