HDU 1027.Ignatius and the Princess II【全排列】【数学】【1月3】

Ignatius and the Princess II

Problem Description

Now our hero finds the door to the BEelzebub feng5166. He opens the door and finds feng5166 is about to kill our pretty Princess. But now the BEelzebub has to beat our hero first. feng5166 says, "I have three question for you, if you can work them out, I will release the Princess, or you will be my dinner, too." Ignatius says confidently, "OK, at last, I will save the Princess."

"Now I will show you the first problem." feng5166 says, "Given a sequence of number 1 to N, we define that 1,2,3...N-1,N is the smallest sequence among all the sequence which can be composed with number 1 to N(each number can be and should be use only once in this problem). So it's easy to see the second smallest sequence is 1,2,3...N,N-1. Now I will give you two numbers, N and M. You should tell me the Mth smallest sequence which is composed with number 1 to N. It's easy, isn't is? Hahahahaha......"
Can you help Ignatius to solve this problem?

 

Input

The input contains several test cases. Each test case consists of two numbers, N and M(1<=N<=1000, 1<=M<=10000). You may assume that there is always a sequence satisfied the BEelzebub's demand. The input is terminated by the end of file.

 

Output

For each test case, you only have to output the sequence satisfied the BEelzebub's demand. When output a sequence, you should print a space between two numbers, but do not output any spaces after the last number.

 

Sample Input

6 411 8

 

Sample Output

1 2 3 5 6 41 2 3 4 5 6 7 9 8 11 10

一个数列，1  2  3  4  ——  n 是最小的，1  2  3  4 —— n  n-1 是第二小的，给你n个数，输出第m小的数列。新知识！直接用stl中的next_permutation()函数生成，代码如下：

#include<iostream>#include<cstdio>#include<algorithm>using namespace std;int main(){    int n, m;    while(scanf("%d %d", &n, &m) != EOF)    {        int f[1010];        for(int i = 0;i < n; ++i) f[i] = i+1;        while(m-- > 1) next_permutation(f, f+n);//函数的两个参数分别是首尾地址,会生成比当前数列大1的数列        for(int i = 0;i < n; ++i)        {            if(i) cout <<" ";            cout << f[i];        }        cout << endl;    }    return 0;}