From b67c4508e8a0589bfe0a188412f21b1134aaf8a0 Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Wed, 28 Oct 2026 22:51:09 +0800 Subject: [PATCH] =?UTF-8?q?Update=20Leetcode=20=E9=A2=98=E8=A7=A3=20-=20?= =?UTF-8?q?=E6=8E=92=E5=BA=8F.md?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 代码经力扣判题验证;快速选择补充打乱数组,堆的复杂度改为 log K;重新绘制荷兰国旗问题的配图,示例代码块的语言标注改为 text。 --- notes/Leetcode 题解 - 排序.md | 20 ++++++++++++++------ notes/pics/lc-sort-dutch-flag.png | Bin 0 -> 217185 bytes 2 files changed, 14 insertions(+), 6 deletions(-) create mode 100644 notes/pics/lc-sort-dutch-flag.png diff --git a/notes/Leetcode 题解 - 排序.md b/notes/Leetcode 题解 - 排序.md index 61173333..edf80633 100644 --- a/notes/Leetcode 题解 - 排序.md +++ b/notes/Leetcode 题解 - 排序.md @@ -20,7 +20,7 @@ ## 堆 -用于求解 **TopK Elements** 问题,也就是 K 个最大元素的问题。使用大小为 K 的小顶堆来实现:不断地往小顶堆中插入新元素,当堆中元素的数量大于 K 时,移除堆顶元素,也就是当前堆中最小的元素,剩下的元素都为当前添加过的元素中最大的 K 个元素。插入和移除堆顶元素的时间复杂度都为 log2N。 +用于求解 **TopK Elements** 问题,也就是 K 个最大元素的问题。使用大小为 K 的小顶堆来实现:不断地往小顶堆中插入新元素,当堆中元素的数量大于 K 时,移除堆顶元素,也就是当前堆中最小的元素,剩下的元素都为当前添加过的元素中最大的 K 个元素。插入和移除堆顶元素的时间复杂度都为 log2K。 堆也可以用于求解 Kth Element 问题,得到了大小为 K 的小顶堆之后,堆顶元素就是第 K 大的元素。同理,求 K 个最小元素或者第 K 小的元素时使用大顶堆。 @@ -64,10 +64,11 @@ public int findKthLargest(int[] nums, int k) { } ``` -**快速选择** :时间复杂度 O(N),空间复杂度 O(1) +**快速选择** :平均时间复杂度 O(N),空间复杂度 O(1) ```java public int findKthLargest(int[] nums, int k) { + shuffle(nums); // 先打乱,避免最坏情况 k = nums.length - k; int l = 0, h = nums.length - 1; while (l < h) { @@ -102,6 +103,13 @@ private void swap(int[] a, int i, int j) { a[i] = a[j]; a[j] = t; } + +private void shuffle(int[] a) { + Random random = new Random(); + for (int i = a.length - 1; i > 0; i--) { + swap(a, i, random.nextInt(i + 1)); + } +} ``` ## 桶排序 @@ -112,7 +120,7 @@ private void swap(int[] a, int i, int j) { [Leetcode](https://leetcode.com/problems/top-k-frequent-elements/description/) / [力扣](https://leetcode-cn.com/problems/top-k-frequent-elements/description/) -```html +```text Given [1,1,1,2,2,3] and k = 2, return [1,2]. ``` @@ -159,7 +167,7 @@ public int[] topKFrequent(int[] nums, int k) { [Leetcode](https://leetcode.com/problems/sort-characters-by-frequency/description/) / [力扣](https://leetcode-cn.com/problems/sort-characters-by-frequency/description/) -```html +```text Input: "tree" @@ -206,7 +214,7 @@ public String frequencySort(String s) { 有三种颜色的球,算法的目标是将这三种球按颜色顺序正确地排列。它其实是三向切分快速排序的一种变种,在三向切分快速排序中,每次切分都将数组分成三个区间:小于切分元素、等于切分元素、大于切分元素,而该算法是将数组分成三个区间:等于红色、等于白色、等于蓝色。 -

+

### 1. 按颜色进行排序 @@ -215,7 +223,7 @@ public String frequencySort(String s) { [Leetcode](https://leetcode.com/problems/sort-colors/description/) / [力扣](https://leetcode-cn.com/problems/sort-colors/description/) -```html +```text Input: [2,0,2,1,1,0] Output: [0,0,1,1,2,2] ``` diff --git a/notes/pics/lc-sort-dutch-flag.png b/notes/pics/lc-sort-dutch-flag.png new file mode 100644 index 0000000000000000000000000000000000000000..efe2766ef9df3423a001cdf66e096e159b0d0d10 GIT binary patch literal 217185 zcmXV21z43?*S&NoAuS*vQc8yxBt->8kWfInySp0!X+gR~5Kv0GODSoQ?vhSLO6uQt zzMp62fq~(2-g9=Wwe~tUOi4k80G}Ekfj|(*K7H~6fxv<pU(F*a{<1rr(uTXS?b}j-9fslP7sp3Aho#Ez9wsO#A)|){4`6B`k^HBn$ zQ~}xDY;^p4PjRp~7(QjaA(K>A{u+&*{U$IxJTSpAf$j|?NQAHIikm1eGhpMX4%jpXF9KEI$8pN2~iiu3! zD~@G$Qpy4;^3H^Kf%~tFHC%-=0vVF~P3isGR~%*IRIG)VaRV8=L-SugB!2Swsa|N? z?Or~_!lUPLOp1dew{Bp5wXBN!$Bg@JFiBf<@Su^Sm+GDiTlf-Ew4NXhQ<4}HPd||1 z9#ysHvWG4)rj#<1EMLiVvO;HmO228vWS;|V#=}5{bDHSoC(4)z**G#Ow8!P+8_t0Z 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