J - Ignatius and the Princess II

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? 

6 4
11 8

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

解法1:
直接使用了排序函数,得到了结果.但是这个题目时间卡的很紧,我原先在while语句中加了一个判断语句就超时了

 1 #include<cstdio>
 2 #include<cstring>
 3 #include<algorithm>
 4 #include<set>
 5 #include<iostream>
 6 
 7 using namespace std;
 8 
 9 
10 
11 int main()
12 {
13     int a[1005];
14     int N1,N2;
15 
16     while(cin>>N1>>N2)
17     {
18         for(int i = 0;i < N1;i++)
19             a[i] = i + 1;
20 
21         int i = N2 - 1;
22         while( i-- )
23         {
24             next_permutation(a, a+N1);
25         }
26 
27         cout<<a[0];
28         for(int i = 1;i < N1;i++)
29                 cout<<‘ ‘<<a[i];
30         cout<<endl;
31 
32     }
33 
34     return 0;
35 }