From 799da32eb09f0998317ef32a96ff0a7a5b1e97dc Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Fri, 23 Feb 2024 01:22:46 +0800 Subject: [PATCH] Bug fixes and improvements (#1092) * Bug fixes * Bug fixes * Reduce figures size * Update LeetCode problems repo in suggestions.md * Fix the figures of pivot_division_steps --- docs/chapter_backtracking/n_queens_problem.md | 2 +- .../1s_2s_complement.png | Bin 19419 -> 19465 bytes .../greedy_change.png | Bin 25235 -> 25361 bytes docs/chapter_preface/suggestions.md | 2 +- .../pivot_division_step1.png | Bin 31764 -> 31804 bytes .../pivot_division_step2.png | Bin 31680 -> 31803 bytes .../pivot_division_step3.png | Bin 31817 -> 31739 bytes .../pivot_division_step4.png | Bin 32556 -> 32538 bytes .../pivot_division_step5.png | Bin 31873 -> 31685 bytes .../pivot_division_step6.png | Bin 31860 -> 31883 bytes .../pivot_division_step7.png | Bin 31667 -> 31756 bytes .../pivot_division_step8.png | Bin 33064 -> 32688 bytes .../stack.assets/array_stack_step2_push.png | Bin 17586 -> 17520 bytes 13 files changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/chapter_backtracking/n_queens_problem.md b/docs/chapter_backtracking/n_queens_problem.md index ed7c8e536..2c9c2864a 100644 --- a/docs/chapter_backtracking/n_queens_problem.md +++ b/docs/chapter_backtracking/n_queens_problem.md @@ -44,6 +44,6 @@ [file]{n_queens}-[class]{}-[func]{n_queens} ``` -逐行放置 $n$ 次,考虑列约束,则从第一行到最后一行分别有 $n$、$n-1$、$\dots$、$2$、$1$ 个选择,使用 $O(n!)$ 时间;当保存解时,需要复制矩阵 `state` 并添加进 `res` ,复制操作使用 $O(n^2)$ 时间;因此总体时间复杂度为 $O(n! \cdot n^2)$ 。实际上,根据对角线约束的剪枝也能够大幅缩小搜索空间,因而搜索效率往往优于以上时间复杂度。 +逐行放置 $n$ 次,考虑列约束,则从第一行到最后一行分别有 $n$、$n-1$、$\dots$、$2$、$1$ 个选择,使用 $O(n!)$ 时间。当记录解时,需要复制矩阵 `state` 并添加进 `res` ,复制操作使用 $O(n^2)$ 时间。因此,**总体时间复杂度为 $O(n! \cdot n^2)$** 。实际上,根据对角线约束的剪枝也能够大幅缩小搜索空间,因而搜索效率往往优于以上时间复杂度。 数组 `state` 使用 $O(n^2)$ 空间,数组 `cols`、`diags1` 和 `diags2` 皆使用 $O(n)$ 空间。最大递归深度为 $n$ ,使用 $O(n)$ 栈帧空间。因此,**空间复杂度为 $O(n^2)$** 。 diff --git 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Offer](https://leetcode.cn/studyplan/coding-interviews/)”和“[LeetCode Hot 100](https://leetcode.cn/studyplan/top-100-liked/)”,先积累至少 100 道题目,熟悉主流的算法问题。初次刷题时,“知识遗忘”可能是一个挑战,但请放心,这是很正常的。我们可以按照“艾宾浩斯遗忘曲线”来复习题目,通常在进行 3~5 轮的重复后,就能将其牢记在心。 +2. **阶段二:刷算法题**。建议从热门题目开刷,推荐的题单、题解和刷题计划和请见此 [GitHub 仓库](https://github.com/krahets/LeetCode-Book)。初次刷题时,“知识遗忘”可能是一个挑战,但请放心,这是很正常的。我们可以按照“艾宾浩斯遗忘曲线”来复习题目,通常在进行 3~5 轮的重复后,就能将其牢记在心。 3. **阶段三:搭建知识体系**。在学习方面,我们可以阅读算法专栏文章、解题框架和算法教材,以不断丰富知识体系。在刷题方面,可以尝试采用进阶刷题策略,如按专题分类、一题多解、一解多题等,相关的刷题心得可以在各个社区找到。 如下图所示,本书内容主要涵盖“阶段一”,旨在帮助你更高效地展开阶段二和阶段三的学习。 diff --git a/docs/chapter_sorting/quick_sort.assets/pivot_division_step1.png b/docs/chapter_sorting/quick_sort.assets/pivot_division_step1.png index cae41606ffdb3f3a29ea7514900487ba334bfad8..242ff0d0aaf2a32d200c7c2ea74b1f91b859ea4f 100644 GIT binary patch literal 31804 zcmbTdby!?6*Dtzf26uOd0tHIZ;>Fz^iWDmj#fvj&acyxK+_kt4P@u(%y9`>Kz=HMC(s~I*-haK zt0&??Lq$jS@87?dmzN>!!E0-4H#axVAA%){4?hb6w2Z7#QBgk_ICV30h=WHiE-ub~ 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