SDNU 1072.我们爱递归(水题)

mac2022-06-30  30

Description

我们想明白递归函数到底是怎么运作的,所以想用递归来计算当给定一个正整数n(n < 16)时,求出n + (n-1)……+1的值,同时进行一些输出 要求写一个int plus1(int a)形式的函数,在进入递归函数时,输出相关信息。在调用结束返回值前,输出相关信息。最后输出n + (n-1)……+1的值

Input

3

Output

[plus1(3) output]Begin invoke plus1(3) [plus1(3) output]I want to calculate plus1(3), require 3 and the value of plus1(2),so I need to invoke plus1(2) [plus1(2) output]Begin invoke plus1(2) [plus1(2) output]I want to calculate plus1(2), require 2 and the value of plus1(1),so I need to invoke plus1(1) [plus1(1) output]Begin invoke plus1(1) [plus1(1) output]return plus1(1) = 1 [plus1(2) output]I got the value of plus1(1), and plus it to 2then return3 [plus1(3) output]I got the value of plus1(2), and plus it to 3then return6 6

Sample Input

3

Sample Output

[plus1(3) output]Begin invoke plus1(3) [plus1(3) output]I want to calculate plus1(3), require 3 and the value of plus1(2),so I need to invoke plus1(2) [plus1(2) output]Begin invoke plus1(2) [plus1(2) output]I want to calculate plus1(2), require 2 and the value of plus1(1),so I need to invoke plus1(1) [plus1(1) output]Begin invoke plus1(1) [plus1(1) output]return plus1(1) = 1 [plus1(2) output]I got the value of plus1(1), and plus it to 2then return3 [plus1(3) output]I got the value of plus1(2), and plus it to 3then return6 6

Hint

int plus1(int a) {     // 从这里输出开始调用时的信息     if(a == 1)     {         // 从这里输出最后一次调用的返回信息         return ……;     }     else     {         // 从这里输出调用时的信息         // 开始进行递归调用下一步         ……         int c = plus1(a - 1);         // 从这里输出返回值前的信息         ……         return ……;     } } #include <cstdio> #include <iostream> #include <cmath> #include <string> #include <cstring> #include <algorithm> #include <queue> using namespace std; #define ll long long int n, sum; int plu(int a) { printf("[plus1(%d) output]Begin invoke plus1(%d)\n", a, a); if(a != 1) { printf("[plus1(%d) output]I want to calculate plus1(%d), require %d and the value of plus1(%d),so I need to invoke plus1(%d)\n", a, a, a, a-1, a-1); sum = a+plu(a-1); printf("[plus1(%d) output]I got the value of plus1(%d), and plus it to %dthen return%d\n", a, a-1, a, sum); return sum; } else { printf("[plus1(1) output]return plus1(1) = 1\n"); return 1; } } int main() { scanf("%d", &n); plu(n); printf("%d\n", sum); }

 

转载于:https://www.cnblogs.com/RootVount/p/10889921.html

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