题目:原题链接(中等)
标签:字符串、回溯算法
| 解法 | 时间复杂度 | 空间复杂度 | 执行用时 | 
| Ans 1 (Python) | O(3N+4M) | O(3N+4M) | 32ms (95.50%) | 
| Ans 2 (Python) | O(3N+4M) | O(3N+4M) | 32ms (95.50%) | 
| Ans 3 (Python) | 
LeetCode的Python执行用时随缘,只要时间复杂度没有明显差异,执行用时一般都在同一个量级,仅作参考意义。
解法一(枚举法):
def letterCombinations(self, digits: str) -> List[str]:
    phone = {"2": ["a", "b", "c"],
             "3": ["d", "e", "f"],
             "4": ["g", "h", "i"],
             "5": ["j", "k", "l"],
             "6": ["m", "n", "o"],
             "7": ["p", "q", "r", "s"],
             "8": ["t", "u", "v"],
             "9": ["w", "x", "y", "z"]}
    ans = [""]
    for d in digits:
        if d in phone:
            new = []
            for item in ans:
                for c in phone[d]:
                    new.append(item + c)
            ans = new
    return ans解法二(不需要剪枝的回溯算法):
测试用例中不包含字符1和字符0
def letterCombinations(self, digits: str) -> List[str]:
    phone = {"2": ["a", "b", "c"],
             "3": ["d", "e", "f"],
             "4": ["g", "h", "i"],
             "5": ["j", "k", "l"],
             "6": ["m", "n", "o"],
             "7": ["p", "q", "r", "s"],
             "8": ["t", "u", "v"],
             "9": ["w", "x", "y", "z"]}
    def backtrack(now, next_digits):
        if not next_digits:
            ans.append(now)
        else:
            for d in phone[next_digits[0]]:
                backtrack(now + d, next_digits[1:])
    ans = []
    if digits:
        backtrack("", digits)
    return ans









