mirror of
https://github.com/krahets/hello-algo.git
synced 2025-07-07 15:01:58 +08:00
Add the section of iteration and recursion. (#693)
This commit is contained in:
55
codes/cpp/chapter_computational_complexity/recursion.cpp
Normal file
55
codes/cpp/chapter_computational_complexity/recursion.cpp
Normal file
@ -0,0 +1,55 @@
|
||||
/**
|
||||
* File: recursion.cpp
|
||||
* Created Time: 2023-08-24
|
||||
* Author: Krahets (krahets@163.com)
|
||||
*/
|
||||
|
||||
#include "../utils/common.hpp"
|
||||
|
||||
/* 递归 */
|
||||
int recur(int n) {
|
||||
// 终止条件
|
||||
if (n == 1)
|
||||
return 1;
|
||||
// 递:递归调用
|
||||
int res = recur(n - 1);
|
||||
// 归:返回结果
|
||||
return n + res;
|
||||
}
|
||||
|
||||
/* 尾递归 */
|
||||
int tailRecur(int n, int res) {
|
||||
// 终止条件
|
||||
if (n == 0)
|
||||
return res;
|
||||
// 尾递归调用
|
||||
return tailRecur(n - 1, res + n);
|
||||
}
|
||||
|
||||
/* 斐波那契数列:递归 */
|
||||
int fib(int n) {
|
||||
// 终止条件 f(1) = 0, f(2) = 1
|
||||
if (n == 1 || n == 2)
|
||||
return n - 1;
|
||||
// 递归调用 f(n) = f(n-1) + f(n-2)
|
||||
int res = fib(n - 1) + fib(n - 2);
|
||||
// 返回结果 f(n)
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Driver Code */
|
||||
int main() {
|
||||
int n = 5;
|
||||
int res;
|
||||
|
||||
res = recur(n);
|
||||
cout << "\n递归函数的求和结果 res = " << res << endl;
|
||||
|
||||
res = tailRecur(n, 0);
|
||||
cout << "\n尾递归函数的求和结果 res = " << res << endl;
|
||||
|
||||
res = fib(n);
|
||||
cout << "\n斐波那契数列的第 " << n << " 项为 " << res << endl;
|
||||
|
||||
return 0;
|
||||
}
|
Reference in New Issue
Block a user