From f166778b07af19489ba2aade7fc3a4e5b1206d95 Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Fri, 30 Oct 2026 20:18:39 +0800 Subject: [PATCH] =?UTF-8?q?Update=20Leetcode=20=E9=A2=98=E8=A7=A3=20-=20?= =?UTF-8?q?=E6=A0=88=E5=92=8C=E9=98=9F=E5=88=97.md?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 新增每日温度单调栈配图,补充用栈实现队列、最小值栈及计算器等题目的原理解析与示例说明,并补充文末参考资料。 --- notes/Leetcode 题解 - 栈和队列.md | 26 ++++++++++++++++++++++---- notes/pics/lc-stack-daily-temps.png | Bin 0 -> 220196 bytes 2 files changed, 22 insertions(+), 4 deletions(-) create mode 100644 notes/pics/lc-stack-daily-temps.png diff --git a/notes/Leetcode 题解 - 栈和队列.md b/notes/Leetcode 题解 - 栈和队列.md index 1c02f43c..24fe90ad 100644 --- a/notes/Leetcode 题解 - 栈和队列.md +++ b/notes/Leetcode 题解 - 栈和队列.md @@ -9,6 +9,7 @@ * [6. 循环数组中比当前元素大的下一个元素](#6-循环数组中比当前元素大的下一个元素) * [7. 字符串解码](#7-字符串解码) * [8. 基本计算器](#8-基本计算器) + * [参考资料](#参考资料) @@ -20,6 +21,8 @@ 栈的顺序为后进先出,而队列的顺序为先进先出。使用两个栈实现队列,一个元素需要经过两个栈才能出队列,在经过第一个栈时元素顺序被反转,经过第二个栈时再次被反转,此时就是先进先出顺序。 +需要注意的是,只有 out 为空时才把 in 中的元素整体倒进 out,否则后进入的元素会压在先进入的元素上面。每个元素最多被压入、弹出 in 和 out 各一次,因此单次操作的均摊时间复杂度为 O(1)。 + ```java class MyQueue { @@ -99,6 +102,8 @@ class MyStack { [Leetcode](https://leetcode.com/problems/min-stack/description/) / [力扣](https://leetcode-cn.com/problems/min-stack/description/) +用一个辅助栈 minStack 与数据栈同步压入和弹出,minStack 的每个位置保存数据栈从栈底到该位置的最小值。例如依次压入 3、5、2,minStack 为 3、3、2;弹出 2 之后,栈顶的 3 就是剩下元素的最小值。 + ```java class MinStack { @@ -134,7 +139,7 @@ class MinStack { } ``` -对于实现最小值队列问题,可以先将队列使用栈来实现,然后就将问题转换为最小值栈,这个问题出现在 编程之美:3.7。 +最小值队列可以用两个最小值栈实现(见[用栈实现队列](#1-用栈实现队列)),队列的最小值就是两个栈的最小值中较小的那个,这个问题出自《编程之美》3.7。 ## 4. 用栈实现括号匹配 @@ -148,6 +153,8 @@ class MinStack { Output : true ``` +左括号压栈;遇到右括号时,栈顶必须是与它配对的左括号,否则不合法。遍历结束后栈必须为空,例如 "((" 的每一步都没有出错,但仍不合法。 + ```java public boolean isValid(String s) { Stack stack = new Stack<>(); @@ -182,7 +189,11 @@ Input: [73, 74, 75, 71, 69, 72, 76, 73] Output: [1, 1, 4, 2, 1, 1, 0, 0] ``` -在遍历数组时用栈把数组中的数存起来,如果当前遍历的数比栈顶元素来得大,说明栈顶元素的下一个比它大的数就是当前元素。 +栈中保存还没有等到更高温度的下标。遍历到 curIndex 时,只要当前温度比栈顶下标的温度高,栈顶下标的答案就是 curIndex,弹出它并记录距离;弹完之后再把 curIndex 压栈。因此栈中下标对应的温度从栈底到栈顶单调不增(相等的温度不会弹栈),这种栈称为单调栈。 + +

+ +每个下标最多入栈、出栈各一次,时间复杂度为 O(N)。 ```java public int[] dailyTemperatures(int[] temperatures) { @@ -214,7 +225,9 @@ The number 2 can't find next greater number; The second 1's next greater number needs to search circularly, which is also 2. ``` -与 739. Daily Temperatures (Medium) 不同的是,数组是循环数组,并且最后要求的不是距离而是下一个元素。 +与[每日温度](#5-数组中元素与下一个比它大的元素之间的距离)不同的是,数组是循环数组,并且最后要求的不是距离而是下一个元素。 + +把数组遍历两遍,相当于在原数组后面再接一份,靠后的元素在第二遍中就能找到位于数组开头的更大元素。第二遍只负责弹栈、填写答案,不再压栈。 ```java public int[] nextGreaterElements(int[] nums) { @@ -289,7 +302,7 @@ Output: 5 题目描述:计算只包含非负整数、+、-、*、/ 和空格的表达式,整数除法向零截断。 -乘除的优先级高于加减。读到一个数字之后,先不急着计算,等读到它后面的运算符时,再根据它前面的运算符处理:+ 把数字压栈,- 把相反数压栈,* 和 / 与栈顶元素计算后再放回。最后把栈中所有元素相加。 +乘除的优先级高于加减。读到一个数字之后,先不急着计算,等读到它后面的运算符时,再根据它前面的运算符处理:+ 把数字压栈,- 把相反数压栈,* 和 / 与栈顶元素计算后再放回。最后把栈中所有元素相加。例如 3+5/2:读到 + 时按前面默认的 + 压入 3,读到 / 时压入 5,读完字符串时按 / 把栈顶的 5 换成 5 / 2 = 2,结果为 3 + 2 = 5。 ```java public int calculate(String s) { @@ -322,3 +335,8 @@ public int calculate(String s) { return ret; } ``` + +## 参考资料 + +- [LeetCode 题库](https://leetcode.com/problemset/) +- 《编程之美》小组. 编程之美 [M]. 电子工业出版社, 2008. diff --git a/notes/pics/lc-stack-daily-temps.png b/notes/pics/lc-stack-daily-temps.png new file mode 100644 index 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