字符串
1. 无重复字符的最长子串
滑动窗口
class Solution:
def lengthOfLongestSubstring(self, s: str) -> int:
# 哈希集合,记录每个字符是否出现过
occ = set()
n = len(s)
# 右指针,初始值为 -1,相当于我们在字符串的左边界的左侧,还没有开始移动
rk, ans = -1, 0
for i in range(n):
if i != 0:
# 左指针向右移动一格,移除一个字符
occ.remove(s[i - 1])
while rk + 1 < n and s[rk + 1] not in occ:
# 不断地移动右指针
occ.add(s[rk + 1])
rk += 1
# 第 i 到 rk 个字符是一个极长的无重复字符子串
ans = max(ans, rk - i + 1)
return ans
2. 有效的括号
堆栈法
class Solution:
def isValid(self, s: str) -> bool:
if len(s) % 2 == 1:
return False
pairs = {
")": "(",
"]": "[",
"}": "{",
}
stack = list()
for ch in s:
if ch in pairs:
if not stack or stack[-1] != pairs[ch]:
return False
stack.pop()
else:
stack.append(ch)
return not stack
3. 回文子串
动态规划
状态转义方程:
P(i,i) =true
P(i,i+1) =(Si==Si+1)
P(i,j) =P(i+1,j−1)∧(Si==Sj)
class Solution:
def expandAroundCenter(self, s, left, right):
while left >= 0 and right < len(s) and s[left] == s[right]:
left -= 1
right += 1
return left + 1, right - 1
def longestPalindrome(self, s: str) -> str:
start, end = 0, 0
for i in range(len(s)):
left1, right1 = self.expandAroundCenter(s, i, i)
left2, right2 = self.expandAroundCenter(s, i, i + 1)
if right1 - left1 > end - start:
start, end = left1, right1
if right2 - left2 > end - start:
start, end = left2, right2
return s[start: end + 1]