From 8e38c6145516948ce90a088f53853c3fde125535 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Thu, 10 Apr 2025 19:21:52 +0800 Subject: [PATCH] Bug fixes and improvements (#1732) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit * Bug fixes * Sync zh and zh-hant versions. * "入列列" -> "入佇列" * Fix hello_algo_mindmap.png --- .../hello_algo_mindmap.png | Bin 153631 -> 154108 bytes .../chapter_computational_complexity/index.md | 2 +- .../javascript/chapter_hashing/simple_hash.js | 2 +- .../python/chapter_sorting/counting_sort.py | 4 +-- .../chapter_array_and_linkedlist/my_list.rs | 7 ++--- .../rust/chapter_hashing/hash_map_chaining.rs | 26 ++++++++---------- .../linkedlist_deque.rs | 18 +++++++----- .../linkedlist_queue.rs | 18 ++++++++---- .../linkedlist_stack.rs | 12 ++------ .../typescript/chapter_hashing/simple_hash.ts | 2 +- zh-hant/docs/chapter_backtracking/summary.md | 2 +- .../fractional_knapsack_problem.md | 2 ++ .../hello_algo_mindmap.png | 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z=EmOB{1Ikme0MC1V><6I_ru835v}Rk5?SJYQ>V3tw+g#A58-5NEJ@_t4Q7uY|7HTS z8XbxlE<&X#@m}+C#ZH#UBAAn21k)_QzTpyKkmueNhu3z1Hor0t7*xu={?&^_fA!U?l&Z{S+AqDDW>G20Ibx z{SVQdEW`h+8n~{f*8LyV{}ED7mJ|N9gpXcN=LmuS>-7I%`y|0=fPgtTZs=bp6-5n& JD*2aT{{gvAkA46E diff --git a/en/docs/chapter_computational_complexity/index.md b/en/docs/chapter_computational_complexity/index.md index 68255fe93..1fbbaefe0 100644 --- a/en/docs/chapter_computational_complexity/index.md +++ b/en/docs/chapter_computational_complexity/index.md @@ -6,4 +6,4 @@ Complexity analysis is like a space-time navigator in the vast universe of algorithms. - It guides us in exploring deeper within the the dimensions of time and space, seeking more elegant solutions. + It guides us in exploring deeper within the dimensions of time and space, seeking more elegant solutions. diff --git a/zh-hant/codes/javascript/chapter_hashing/simple_hash.js b/zh-hant/codes/javascript/chapter_hashing/simple_hash.js index 447718341..11b87b91e 100644 --- a/zh-hant/codes/javascript/chapter_hashing/simple_hash.js +++ b/zh-hant/codes/javascript/chapter_hashing/simple_hash.js @@ -31,7 +31,7 @@ function xorHash(key) { for (const c of key) { hash ^= c.charCodeAt(0); } - return hash & MODULUS; + return hash % MODULUS; } /* 旋轉雜湊 */ diff --git a/zh-hant/codes/python/chapter_sorting/counting_sort.py b/zh-hant/codes/python/chapter_sorting/counting_sort.py index 50bfb38bb..0bc327ba8 100644 --- a/zh-hant/codes/python/chapter_sorting/counting_sort.py +++ b/zh-hant/codes/python/chapter_sorting/counting_sort.py @@ -9,9 +9,7 @@ def counting_sort_naive(nums: list[int]): """計數排序""" # 簡單實現,無法用於排序物件 # 1. 統計陣列最大元素 m - m = 0 - for num in nums: - m = max(m, num) + m = max(nums) # 2. 統計各數字的出現次數 # counter[num] 代表 num 的出現次數 counter = [0] * (m + 1) diff --git a/zh-hant/codes/rust/chapter_array_and_linkedlist/my_list.rs b/zh-hant/codes/rust/chapter_array_and_linkedlist/my_list.rs index 8c6991d64..b114b6076 100644 --- a/zh-hant/codes/rust/chapter_array_and_linkedlist/my_list.rs +++ b/zh-hant/codes/rust/chapter_array_and_linkedlist/my_list.rs @@ -19,8 +19,7 @@ struct MyList { impl MyList { /* 建構子 */ pub fn new(capacity: usize) -> Self { - let mut vec = Vec::new(); - vec.resize(capacity, 0); + let mut vec = vec![0; capacity]; Self { arr: vec, capacity, @@ -92,7 +91,7 @@ impl MyList { }; let num = self.arr[index]; // 將將索引 index 之後的元素都向前移動一位 - for j in (index..self.size - 1) { + for j in index..self.size - 1 { self.arr[j] = self.arr[j + 1]; } // 更新元素數量 @@ -111,7 +110,7 @@ impl MyList { } /* 將串列轉換為陣列 */ - pub fn to_array(&mut self) -> Vec { + pub fn to_array(&self) -> Vec { // 僅轉換有效長度範圍內的串列元素 let mut arr = Vec::new(); for i in 0..self.size { diff --git a/zh-hant/codes/rust/chapter_hashing/hash_map_chaining.rs b/zh-hant/codes/rust/chapter_hashing/hash_map_chaining.rs index f459ebe2c..1de42c332 100644 --- a/zh-hant/codes/rust/chapter_hashing/hash_map_chaining.rs +++ b/zh-hant/codes/rust/chapter_hashing/hash_map_chaining.rs @@ -13,10 +13,10 @@ struct Pair { /* 鏈式位址雜湊表 */ struct HashMapChaining { - size: i32, - capacity: i32, + size: usize, + capacity: usize, load_thres: f32, - extend_ratio: i32, + extend_ratio: usize, buckets: Vec>, } @@ -34,7 +34,7 @@ impl HashMapChaining { /* 雜湊函式 */ fn hash_func(&self, key: i32) -> usize { - key as usize % self.capacity as usize + key as usize % self.capacity } /* 負載因子 */ @@ -45,12 +45,11 @@ impl HashMapChaining { /* 刪除操作 */ fn remove(&mut self, key: i32) -> Option { let index = self.hash_func(key); - let bucket = &mut self.buckets[index]; // 走訪桶,從中刪除鍵值對 - for i in 0..bucket.len() { - if bucket[i].key == key { - let pair = bucket.remove(i); + for (i, p) in self.buckets[index].iter_mut().enumerate() { + if p.key == key { + let pair = self.buckets[index].remove(i); self.size -= 1; return Some(pair.val); } @@ -63,7 +62,7 @@ impl HashMapChaining { /* 擴容雜湊表 */ fn extend(&mut self) { // 暫存原雜湊表 - let buckets_tmp = std::mem::replace(&mut self.buckets, vec![]); + let buckets_tmp = std::mem::take(&mut self.buckets); // 初始化擴容後的新雜湊表 self.capacity *= self.extend_ratio; @@ -97,30 +96,27 @@ impl HashMapChaining { } let index = self.hash_func(key); - let bucket = &mut self.buckets[index]; // 走訪桶,若遇到指定 key ,則更新對應 val 並返回 - for pair in bucket { + for pair in self.buckets[index].iter_mut() { if pair.key == key { pair.val = val; return; } } - let bucket = &mut self.buckets[index]; // 若無該 key ,則將鍵值對新增至尾部 let pair = Pair { key, val }; - bucket.push(pair); + self.buckets[index].push(pair); self.size += 1; } /* 查詢操作 */ fn get(&self, key: i32) -> Option<&str> { let index = self.hash_func(key); - let bucket = &self.buckets[index]; // 走訪桶,若找到 key ,則返回對應 val - for pair in bucket { + for pair in self.buckets[index].iter() { if pair.key == key { return Some(&pair.val); } diff --git a/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_deque.rs b/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_deque.rs index bbc7a5588..cf6387cd2 100644 --- a/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_deque.rs +++ b/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_deque.rs @@ -120,7 +120,7 @@ impl LinkedListDeque { } } self.que_size -= 1; // 更新佇列長度 - Rc::try_unwrap(old_front).ok().unwrap().into_inner().val + old_front.borrow().val }) } // 佇列尾出列操作 @@ -136,7 +136,7 @@ impl LinkedListDeque { } } self.que_size -= 1; // 更新佇列長度 - Rc::try_unwrap(old_rear).ok().unwrap().into_inner().val + old_rear.borrow().val }) } } @@ -163,12 +163,16 @@ impl LinkedListDeque { /* 返回陣列用於列印 */ pub fn to_array(&self, head: Option<&Rc>>>) -> Vec { - if let Some(node) = head { - let mut nums = self.to_array(node.borrow().next.as_ref()); - nums.insert(0, node.borrow().val); - return nums; + let mut res: Vec = Vec::new(); + fn recur(cur: Option<&Rc>>>, res: &mut Vec) { + if let Some(cur) = cur { + res.push(cur.borrow().val); + recur(cur.borrow().next.as_ref(), res); + } } - return Vec::new(); + + recur(head, &mut res); + res } } diff --git a/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_queue.rs b/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_queue.rs index 4e114e70d..04327ef7d 100644 --- a/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_queue.rs +++ b/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_queue.rs @@ -67,7 +67,7 @@ impl LinkedListQueue { } } self.que_size -= 1; - Rc::try_unwrap(old_front).ok().unwrap().into_inner().val + old_front.borrow().val }) } @@ -78,12 +78,18 @@ impl LinkedListQueue { /* 將鏈結串列轉化為 Array 並返回 */ pub fn to_array(&self, head: Option<&Rc>>>) -> Vec { - if let Some(node) = head { - let mut nums = self.to_array(node.borrow().next.as_ref()); - nums.insert(0, node.borrow().val); - return nums; + let mut res: Vec = Vec::new(); + + fn recur(cur: Option<&Rc>>>, res: &mut Vec) { + if let Some(cur) = cur { + res.push(cur.borrow().val); + recur(cur.borrow().next.as_ref(), res); + } } - return Vec::new(); + + recur(head, &mut res); + + res } } diff --git a/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_stack.rs b/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_stack.rs index ac07580fb..71753cc25 100644 --- a/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_stack.rs +++ b/zh-hant/codes/rust/chapter_stack_and_queue/linkedlist_stack.rs @@ -45,16 +45,10 @@ impl LinkedListStack { /* 出堆疊 */ pub fn pop(&mut self) -> Option { self.stack_peek.take().map(|old_head| { - match old_head.borrow_mut().next.take() { - Some(new_head) => { - self.stack_peek = Some(new_head); - } - None => { - self.stack_peek = None; - } - } + self.stack_peek = old_head.borrow_mut().next.take(); self.stk_size -= 1; - Rc::try_unwrap(old_head).ok().unwrap().into_inner().val + + old_head.borrow().val }) } diff --git a/zh-hant/codes/typescript/chapter_hashing/simple_hash.ts b/zh-hant/codes/typescript/chapter_hashing/simple_hash.ts index 06f89a833..5d615bee8 100644 --- a/zh-hant/codes/typescript/chapter_hashing/simple_hash.ts +++ b/zh-hant/codes/typescript/chapter_hashing/simple_hash.ts @@ -31,7 +31,7 @@ function xorHash(key: string): number { for (const c of key) { hash ^= c.charCodeAt(0); } - return hash & MODULUS; + return hash % MODULUS; } /* 旋轉雜湊 */ diff --git a/zh-hant/docs/chapter_backtracking/summary.md b/zh-hant/docs/chapter_backtracking/summary.md index 96ab6e545..13e081dde 100644 --- a/zh-hant/docs/chapter_backtracking/summary.md +++ b/zh-hant/docs/chapter_backtracking/summary.md @@ -11,7 +11,7 @@ - 子集和問題的目標是在給定集合中找到和為目標值的所有子集。集合不區分元素順序,而搜尋過程會輸出所有順序的結果,產生重複子集。我們在回溯前將資料進行排序,並設定一個變數來指示每一輪的走訪起始點,從而將生成重複子集的搜尋分支進行剪枝。 - 對於子集和問題,陣列中的相等元素會產生重複集合。我們利用陣列已排序的前置條件,透過判斷相鄰元素是否相等實現剪枝,從而確保相等元素在每輪中只能被選中一次。 - $n$ 皇后問題旨在尋找將 $n$ 個皇后放置到 $n \times n$ 尺寸棋盤上的方案,要求所有皇后兩兩之間無法攻擊對方。該問題的約束條件有行約束、列約束、主對角線和次對角線約束。為滿足行約束,我們採用按行放置的策略,保證每一行放置一個皇后。 -- 列約束和對角線約束的處理方式類似。對於列約束,我們利用一個陣列來記錄每一列是否有皇后,從而指示選中的格子是否合法。對於對角線約束,我們藉助兩個陣列來分別記錄該主、次對角線上是否存在皇后;難點在於找處在到同一主(副)對角線上格子滿足的行列索引規律。 +- 列約束和對角線約束的處理方式類似。對於列約束,我們利用一個陣列來記錄每一列是否有皇后,從而指示選中的格子是否合法。對於對角線約束,我們藉助兩個陣列來分別記錄該主、次對角線上是否存在皇后;難點在於找出處在同一主(副)對角線上的格子所滿足的行列索引規律。 ### Q & A diff --git a/zh-hant/docs/chapter_greedy/fractional_knapsack_problem.md b/zh-hant/docs/chapter_greedy/fractional_knapsack_problem.md index 140b3acbd..5c4f8f5f3 100644 --- a/zh-hant/docs/chapter_greedy/fractional_knapsack_problem.md +++ b/zh-hant/docs/chapter_greedy/fractional_knapsack_problem.md @@ -33,6 +33,8 @@ [file]{fractional_knapsack}-[class]{}-[func]{fractional_knapsack} ``` +內建排序演算法的時間複雜度通常為 $O(\log n)$ ,空間複雜度通常為 $O(\log n)$ 或 $O(n)$ ,取決於程式語言的具體實現。 + 除排序之外,在最差情況下,需要走訪整個物品串列,**因此時間複雜度為 $O(n)$** ,其中 $n$ 為物品數量。 由於初始化了一個 `Item` 物件串列,**因此空間複雜度為 $O(n)$** 。 diff --git a/zh-hant/docs/chapter_preface/about_the_book.assets/hello_algo_mindmap.png b/zh-hant/docs/chapter_preface/about_the_book.assets/hello_algo_mindmap.png index 65df7b1367d383236d4588a84afdffb8324b7170..893be602317150923e6d70875d349715439f7585 100644 GIT binary patch literal 163368 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**淘寶訂單**。購物者下單後,訂單將加入佇列中,系統隨後會根據順序處理佇列中的訂單。在雙十一期間,短時間內會產生海量訂單,高併發成為工程師們需要重點攻克的問題。 - **各類待辦事項**。任何需要實現“先來後到”功能的場景,例如印表機的任務佇列、餐廳的出餐佇列等,佇列在這些場景中可以有效地維護處理順序。

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