C++/python描述 AcWing 92. 递归实现指数型枚举

亓官劼 2021-04-06 14:28:43
c++ Python 递归 acwing 描述


C++/python描述 AcWing 92. 递归实现指数型枚举

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由于学习工作的需要,算法刷题将会逐渐由C++向Python3过度,正在过度中,如实现的不太优美,请见谅。

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从 1∼n 这 n 个整数中随机选取任意多个,输出所有可能的选择方案。

输入格式

输入一个整数 n。

输出格式

每行输出一种方案。

同一行内的数必须升序排列,相邻两个数用恰好 1 个空格隔开。

对于没有选任何数的方案,输出空行。

本题有自定义校验器(SPJ),各行(不同方案)之间的顺序任意。

数据范围

1≤n≤151≤n≤15

输入样例:

3

输出样例:

3
2
2 3
1
1 3
1 2
1 2 3

解题思路

dfs+回溯

算法实现一 C++

#include<iostream>
using namespace std;
const int N = 15;
int s[N],n;
void dfs(int u){

if(u == n){

// 搜索到最后,终止并输出
for(int i = 0; i < n ; i++)
if(s[i] == 1)
cout << i+1 <<" ";
cout << endl;
return ;
}
s[u] = 2;
dfs(u+1);
s[u] = 1;
dfs(u+1);
// 回溯,0表示初试状态,1表示选择,2表示不选
s[u] = 0;
}
int main(){

cin >> n;
dfs(0);
return 0;
}

算法实现二 Python

n = int(input())
# 0表示初始状态,1表示选择,2表示不选
tmp = [0 for i in range(n)]
def dfs(u):
if u == n:
for i,d in enumerate(tmp):
if d == 1:
print(i+1,end=' ')
print('')
return None
tmp[u] = 2
dfs(u+1)
tmp[u] = 1
dfs(u+1)
tmp[u] = 0
dfs(0)
版权声明
本文为[亓官劼]所创,转载请带上原文链接,感谢
https://blog.csdn.net/qq_43422111/article/details/115443377

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