Ignatius and the Princess II hdu 1027

Ignatius and the Princess II

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 3732    Accepted Submission(s): 2248


[align=left]Problem Description[/align]
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?

 

[align=left]Input[/align]
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.

 

[align=left]Output[/align]
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.

 

[align=left]Sample Input[/align]

6 4
11 8

 

[align=left]Sample Output[/align]

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

 

[align=left]Author[/align]
Ignatius.L
 
 
 
 
这是一道全排列的问题，可以用STL中的next_permutation来直接解决，不过也可以通过代码直接来实现，不过我没发现规律，所以不知道怎么做，没办法了，这个数也不大，不会出现超时的问题的
 
 
 

#include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
int main()
{
int i,j,k;
int n,m;
int a[1000];
while(scanf("%d%d",&n,&m)!=EOF)
{
for(i=1;i<=n;i++)
a[i]=i;
for(i=1;i<m;i++)
{
next_permutation(a+1,a+n+1);
}
for(i=1;i<=n;i++)
{
printf("%d",a[i]);
if(i!=n)
printf(" ");
}
printf("\n");

}
return 0;
}