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Sliding window
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使用左右两个指针,按一定规则向右移动。注意 window 的大小并不一定是固定的。 == 使用 pattern == <ref>[http://www.noteanddata.com/leetcode-3-Longest-Substring-Without-Repeating-Characters-java-sliding-windows-solution-note.html#sliding-windows滑动窗口的特征和基本模版 sliding windows 滑动窗口的特征和基本模版]</ref> <ref>https://blog.csdn.net/fuxuemingzhu/article/details/82931106</ref> 在需要找一个区间的问题中, '''第一种情况:'''首先移动右指针使得满足要求,再移动左指针直到不满足要求,再移动右指针,持续如此,直到区间的右边界到达整体的结束点。 <syntaxhighlight lang=python> left = 0 init state ret = worse case retval for right in range(n): update state while state is valid: sol = f(left, right) if sol is better than ret: ret = sol left += 1 update state return ret </syntaxhighlight> '''第二种情况:'''首先移动右指针直到不满足要求,再移动左指针直到满足要求,此时记录当前状态,若更优则记录下来。持续如此,直到区间的右边界到达整体的结束点。 <syntaxhighlight lang=python> left = 0 init state ret = worse case retval for right in range(n): update state while state is not valid: left += 1 update state sol = f(left, right) if sol is better than ret: ret = sol return ret </syntaxhighlight> == 相关题目 == === [https://leetcode.com/problems/minimum-window-substring/ LeetCode 76. Minimum Window Substring] === 第一种情况。Python 解法: <syntaxhighlight lang=python> def minWindow(self, s: str, t: str) -> str: ret = '' # cnt: how many chars of t has been covered. just for speeding up the algo cnt = 0 left = 0 min_size = float('inf') chars = Counter() target = Counter(t) for right, sc in enumerate(s): # for a new right pointer, update the state chars[sc] += 1 if chars[sc] <= target[sc]: cnt += 1 # move the left pointer right until the state becomes invalid while cnt == len(t): if (size := right - left + 1) < min_size: min_size = size ret = s[left:right + 1] # for a new left pointer, update the state sl = s[left] left += 1 chars[sl] -= 1 if chars[sl] < target[sl]: cnt -= 1 return ret </syntaxhighlight> === LeetCode 340. Longest Substring with At Most K Distinct Characters === 第二种情况。Python 解法: <syntaxhighlight lang=python> def lengthOfLongestSubstringKDistinct(self, s: str, k: int) -> int: left = 0 ret = 0 distinct = 0 chars = Counter() for right, ch in enumerate(s): # move the right pointer until the state is invalid if chars[ch] == 0: distinct += 1 chars[ch] += 1 while distinct > k and left <= right: # move the left pointer until the state is valid c = s[left] left += 1 chars[c] -= 1 if chars[c] == 0: distinct -= 1 # after the state becomes valid, record the best result ret = max(right - left + 1, ret) return ret </syntaxhighlight> == 参考资料 == <references /> [[Category:刷题]] [[Category:双指针]]
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