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feat: Add Ruby code - chapter "computational complexity" (#1212)
* feat: add ruby code - chapter computational complexity * feat: add ruby code blocks
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69
codes/ruby/chapter_computational_complexity/recursion.rb
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69
codes/ruby/chapter_computational_complexity/recursion.rb
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=begin
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File: recursion.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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### 递归 ###
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def recur(n)
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# 终止条件
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return 1 if n == 1
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# 递:递归调用
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res = recur n - 1
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# 归:返回结果
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n + res
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end
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### 使用迭代模拟递归 ###
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def for_loop_recur(n)
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# 使用一个显式的栈来模拟系统调用栈
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stack = []
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res = 0
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# 递:递归调用
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for i in n.downto(0)
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# 通过“入栈操作”模拟“递”
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stack << i
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end
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# 归:返回结果
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while !stack.empty?
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res += stack.pop
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end
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# res = 1+2+3+...+n
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res
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end
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### 尾递归 ###
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def tail_recur(n, res)
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# 终止条件
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return res if n == 0
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# 尾递归调用
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tail_recur n - 1, res + n
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end
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### 斐波那契数列:递归 ###
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def fib(n)
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# 终止条件 f(1) = 0, f(2) = 1
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return n - 1 if n == 1 || n == 2
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# 递归调用 f(n) = f(n-1) + f(n-2)
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res = fib(n - 1) + fib(n - 2)
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# 返回结果 f(n)
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res
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end
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### Driver Code ###
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n = 5
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res = recur n
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puts "\n递归函数的求和结果 res = #{res}"
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res = for_loop_recur n
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puts "\n使用迭代模拟递归求和结果 res = #{res}"
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res = tail_recur n, 0
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puts "\n尾递归函数的求和结果 res = #{res}"
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res = fib n
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puts "\n斐波那契数列的第 #{n} 项为 #{res}"
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