mirror of
https://github.com/krahets/hello-algo.git
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feat: Traditional Chinese version (#1163)
* First commit * Update mkdocs.yml * Translate all the docs to traditional Chinese * Translate the code files. * Translate the docker file * Fix mkdocs.yml * Translate all the figures from SC to TC * 二叉搜尋樹 -> 二元搜尋樹 * Update terminology. * Update terminology * 构造函数/构造方法 -> 建構子 异或 -> 互斥或 * 擴充套件 -> 擴展 * constant - 常量 - 常數 * 類 -> 類別 * AVL -> AVL 樹 * 數組 -> 陣列 * 係統 -> 系統 斐波那契數列 -> 費波那契數列 運算元量 -> 運算量 引數 -> 參數 * 聯絡 -> 關聯 * 麵試 -> 面試 * 面向物件 -> 物件導向 歸併排序 -> 合併排序 范式 -> 範式 * Fix 算法 -> 演算法 * 錶示 -> 表示 反碼 -> 一補數 補碼 -> 二補數 列列尾部 -> 佇列尾部 區域性性 -> 區域性 一摞 -> 一疊 * Synchronize with main branch * 賬號 -> 帳號 推匯 -> 推導 * Sync with main branch * First commit * Update mkdocs.yml * Translate all the docs to traditional Chinese * Translate the code files. * Translate the docker file * Fix mkdocs.yml * Translate all the figures from SC to TC * 二叉搜尋樹 -> 二元搜尋樹 * Update terminology * 构造函数/构造方法 -> 建構子 异或 -> 互斥或 * 擴充套件 -> 擴展 * constant - 常量 - 常數 * 類 -> 類別 * AVL -> AVL 樹 * 數組 -> 陣列 * 係統 -> 系統 斐波那契數列 -> 費波那契數列 運算元量 -> 運算量 引數 -> 參數 * 聯絡 -> 關聯 * 麵試 -> 面試 * 面向物件 -> 物件導向 歸併排序 -> 合併排序 范式 -> 範式 * Fix 算法 -> 演算法 * 錶示 -> 表示 反碼 -> 一補數 補碼 -> 二補數 列列尾部 -> 佇列尾部 區域性性 -> 區域性 一摞 -> 一疊 * Synchronize with main branch * 賬號 -> 帳號 推匯 -> 推導 * Sync with main branch * Update terminology.md * 操作数量(num. of operations)-> 操作數量 * 字首和->前綴和 * Update figures * 歸 -> 迴 記憶體洩漏 -> 記憶體流失 * Fix the bug of the file filter * 支援 -> 支持 Add zh-Hant/README.md * Add the zh-Hant chapter covers. Bug fixes. * 外掛 -> 擴充功能 * Add the landing page for zh-Hant version * Unify the font of the chapter covers for the zh, en, and zh-Hant version * Move zh-Hant/ to zh-hant/ * Translate terminology.md to traditional Chinese
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=begin
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File: time_complexity.rb
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Created Time: 2024-03-30
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Author: Xuan Khoa Tu Nguyen (ngxktuzkai2000@gmail.com)
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=end
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### 常數階 ###
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def constant(n)
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count = 0
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size = 100000
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(0...size).each { count += 1 }
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count
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end
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### 線性階 ###
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def linear(n)
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count = 0
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(0...n).each { count += 1 }
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count
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end
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### 線性階(走訪陣列)###
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def array_traversal(nums)
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count = 0
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# 迴圈次數與陣列長度成正比
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for num in nums
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count += 1
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end
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count
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end
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### 平方階 ###
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def quadratic(n)
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count = 0
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# 迴圈次數與資料大小 n 成平方關係
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for i in 0...n
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for j in 0...n
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count += 1
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end
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end
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count
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end
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### 平方階(泡沫排序)###
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def bubble_sort(nums)
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count = 0 # 計數器
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# 外迴圈:未排序區間為 [0, i]
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for i in (nums.length - 1).downto(0)
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# 內迴圈:將未排序區間 [0, i] 中的最大元素交換至該區間的最右端
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for j in 0...i
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if nums[j] > nums[j + 1]
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# 交換 nums[j] 與 nums[j + 1]
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tmp = nums[j]
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nums[j] = nums[j + 1]
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nums[j + 1] = tmp
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count += 3 # 元素交換包含 3 個單元操作
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end
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end
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end
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count
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end
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### 指數階(迴圈實現)###
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def exponential(n)
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count, base = 0, 1
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# 細胞每輪一分為二,形成數列 1, 2, 4, 8, ..., 2^(n-1)
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(0...n).each do
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(0...base).each { count += 1 }
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base *= 2
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end
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# count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
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count
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end
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### 指數階(遞迴實現)###
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def exp_recur(n)
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return 1 if n == 1
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exp_recur(n - 1) + exp_recur(n - 1) + 1
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end
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### 對數階(迴圈實現)###
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def logarithmic(n)
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count = 0
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while n > 1
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n /= 2
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count += 1
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end
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count
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end
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### 對數階(遞迴實現)###
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def log_recur(n)
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return 0 unless n > 1
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log_recur(n / 2) + 1
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end
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### 線性對數階
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def linear_log_recur(n)
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return 1 unless n > 1
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count = linear_log_recur(n / 2) + linear_log_recur(n / 2)
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(0...n).each { count += 1 }
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count
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end
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### 階乘階(遞迴實現)###
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def factorial_recur(n)
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return 1 if n == 0
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count = 0
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# 從 1 個分裂出 n 個
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(0...n).each { count += factorial_recur(n - 1) }
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count
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end
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### Driver Code ###
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# 可以修改 n 執行,體會一下各種複雜度的操作數量變化趨勢
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n = 8
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puts "輸入資料大小 n = #{n}"
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count = constant(n)
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puts "常數階的操作數量 = #{count}"
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count = linear(n)
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puts "線性階的操作數量 = #{count}"
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count = array_traversal(Array.new(n, 0))
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puts "線性階(走訪陣列)的操作數量 = #{count}"
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count = quadratic(n)
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puts "平方階的操作數量 = #{count}"
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nums = Array.new(n) { |i| n - i } # [n, n-1, ..., 2, 1]
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count = bubble_sort(nums)
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puts "平方階(泡沫排序)的操作數量 = #{count}"
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count = exponential(n)
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puts "指數階(迴圈實現)的操作數量 = #{count}"
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count = exp_recur(n)
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puts "指數階(遞迴實現)的操作數量 = #{count}"
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count = logarithmic(n)
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puts "對數階(迴圈實現)的操作數量 = #{count}"
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count = log_recur(n)
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puts "對數階(遞迴實現)的操作數量 = #{count}"
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count = linear_log_recur(n)
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puts "線性對數階(遞迴實現)的操作數量 = #{count}"
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count = factorial_recur(n)
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puts "階乘階(遞迴實現)的操作數量 = #{count}"
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