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力扣算法笔试题复习:【滑动窗口】无重复字符的最长子串

力扣算法笔试题复习:【滑动窗口】无重复字符的最长子串
AI 横行的时代,算法岗依然需要现场 coding 的能力,该栏目将持续分享力扣原题。温故而知新,既然刷到了,就停下来复习一下再划走吧。

3. 无重复字符的最长子串

题目很简洁:给定一个字符串 s,找出其中不含有重复字符最长子串的长度。子串要求字符在原字符串中连续。

举几个例子:

输入 s = "abcabcbb",输出 3。无重复字符的最长子串是 "abc",长度为 3。注意 "bca""cab" 也都是合法答案,长度同样是 3。

输入 s = "bbbbb",输出 1。所有字符都是 b,无重复的最长子串只能是单个 "b"

输入 s = "pwwkew",输出 3。最长子串是 "wke",长度为 3。这里要强调,"pwke" 是子序列而非子串(中间跳过了一个 w),不能算作答案。

这类"在连续区间内维护某种约束"的问题,标准武器就是滑动窗口:用左右两个指针框定一个窗口,右指针不断扩张纳入新字符,一旦窗口内出现重复就收缩左指针,过程中记录窗口能达到的最大长度。

第一种:滑动窗口 + 字符串切片(易懂但超时)

最贴近"窗口"字面含义的实现,是直接维护一个表示当前窗口内容的字符串 window。右指针每遇到一个新字符,就判断它是否已经在窗口里:如果不在,直接追加并更新最大长度;如果在,就把左边界跳到那个重复字符的下一位,重新截取窗口。

classSolution:
deflengthOfLongestSubstring(self, s: str) -> int:
        left = 0
        longest = 0
        window = ''# 当前无重复字符的窗口内容
for right in range(len(s)):
            cur_char = s[right]
if cur_char notin window:
                window += cur_char
                longest = max(longest, len(window))
else:
# 找到重复字符在窗口内的位置,左边界跳到它的下一位
                dup_index = window.find(cur_char)
                left = left + dup_index + 1
                window = s[left:right + 1]
return longest

window 始终维护当前窗口里的字符。遇到新字符时,若不重复就追加进窗口并刷新 longest;若重复,则用 window.find(cur_char) 定位重复字符在窗口内的下标,把左边界 left 推进到该字符的下一位,再用切片重新得到新窗口。

这种写法直观、容易理解,但缺点也比较明显:cur_char not in windowwindow.find(...) 以及 s[left:right+1] 切片这几个操作,每次都需要遍历窗口字符串,最坏情况下单步就是 O(n),整体时间复杂度退化到 O(n²)。

时间复杂度 O(n²),空间复杂度 O(n)(窗口字符串)。

第二种:滑动窗口 + 哈希表(推荐写法)

要把时间复杂度降到 O(n),关键是去掉每一步里对窗口的线性扫描。可以用一个哈希表记录每个字符最近一次出现的下标,这样判重和定位都能 O(1) 完成,不再需要切片和 find

具体做法是:右指针 right 遍历字符串,对每个字符 cur_char,如果它在哈希表里、且上次出现的位置在当前窗口左边界 left 之内(即 >= left),就把 left 直接跳到那个位置的下一位;然后更新该字符的最新下标,并用 right - left + 1 计算当前窗口长度刷新答案。

classSolution:
deflengthOfLongestSubstring(self, s: str) -> int:
        last_seen = {}         # 字符 -> 最近一次出现的下标
        left = 0
        longest = 0
for right, cur_char in enumerate(s):
# 若该字符在窗口内出现过,收缩左边界到重复位置的下一位
if cur_char in last_seen and last_seen[cur_char] >= left:
                left = last_seen[cur_char] + 1
            last_seen[cur_char] = right
            longest = max(longest, right - left + 1)
return longest

这里有个容易写错的细节:判断重复时,不能只看字符是否在哈希表里,还必须确认它上次出现的位置落在当前窗口内last_seen[cur_char] >= left)。因为哈希表记录的是字符的历史下标,某个字符可能在很早以前出现过、但早已被移出窗口,这种情况不应该再收缩左边界。加上这层判断,才能保证 left 只会向右移动、不会回退。

整个过程中,right 从头到尾扫一遍,left 单调向右推进,每个字符的入表、查表都是 O(1),因此总时间复杂度是线性的。

时间复杂度 O(n),空间复杂度 O(min(n, m)),其中 m 为字符集大小(哈希表最多存储字符集大小个字符)。

两种解法都基于滑动窗口的框架,差别在于窗口状态的维护方式:切片写法直接保存窗口子串、直观但每步隐含 O(n) 扫描;哈希表写法用"字符 → 最新下标"把判重和收缩都压到 O(1),整体达到 O(n)。

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-06-30 01:45:07 HTTP/1.1 GET : https://www.yeyulingfeng.com/a/818176.html
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  1. CONNECT:[ UseTime:0.000647s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000875s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000369s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000320s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000745s ]
  6. SELECT * FROM `set` [ RunTime:0.000265s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000739s ]
  8. SELECT * FROM `article` WHERE `id` = 818176 LIMIT 1 [ RunTime:0.000554s ]
  9. UPDATE `article` SET `lasttime` = 1782755107 WHERE `id` = 818176 [ RunTime:0.017176s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.005055s ]
  11. SELECT * FROM `article` WHERE `id` < 818176 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000606s ]
  12. SELECT * FROM `article` WHERE `id` > 818176 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002841s ]
  13. SELECT * FROM `article` WHERE `id` < 818176 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001282s ]
  14. SELECT * FROM `article` WHERE `id` < 818176 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002236s ]
  15. SELECT * FROM `article` WHERE `id` < 818176 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.010066s ]
0.137872s