1. 解题思路
这一题的话思路上就是一个累计数组的思路。考察任意一个位置 i i i上的答案,事实上就是考察 i − 1 i-1 i−1之前所有相邻字符串的最大值与 i + 1 i+1 i+1之后所有相邻元素的最大值,以及 i − 1 i-1 i−1与 i + 1 i+1 i+1两个字符串的最大值,因此,我们只需要提前算好这些值即可快速求得任意位置上的答案了。
2. 代码实现
给出python代码实现如下:
class Solution:
def longestCommonPrefix(self, words: List[str]) -> List[int]:
n = len(words)
if n == 1:
return [0]
if len(set(words)) == 1 and n > 2:
return [len(words[0]) for _ in range(n)]
def count_prefix(w1, w2):
if len(w1) > len(w2):
return count_prefix(w2, w1)
ans = 0
for ch1, ch2 in zip(w1, w2):
if ch1 != ch2:
break
ans += 1
return ans
adj = [count_prefix(words[i], words[i+1]) for i in range(n-1)]
left = [0 for _ in range(n)]
right = [0 for _ in range(n)]
for i in range(n-1):
left[i+1] = max(left[i], adj[i])
right[n-2-i] = max(right[n-1-i], adj[n-2-i])
tri = [count_prefix(words[i-1], words[i+1]) for i in range(1, n-1)]
ans = []
for i in range(n):
if i == 0:
m = right[1]
elif i == n-1:
m = left[n-2]
else:
m = max(left[i-1], right[i+1])
ans.append(max(m, tri[i-1]) if 1 <= i < n-1 else m)
return ans
提交代码评测得到:耗时1000ms,占用内存40.39MB。