LeetCode-Next Permutation

题目： 

Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers.

If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order).

The replacement must be in-place, do not allocate extra memory.

Here are some examples. Inputs are in the left-hand column and its corresponding outputs are in the right-hand column.
1,2,3 → 1,3,2
3,2,1 → 1,2,3
1,1,5 → 1,5,1

 

思路解析:

     对当前排列从后向前扫描，找到一对为升序的相邻元素，记为i和j(i<j).如果不存在这样一对为升序的相邻元素，则所有排列均已找到,算法结束；否则，重新对当前排列从从向前扫描,找到第一个大于i的元素k，交换i和k,然后对从j开始的子序列反转。则此时找到的排列就为下一个字典序排列。

 

 1 void nextpermutaion(vector<int>& num){

 2      if(num.size()<2){

 3          return;

 4      }

 5 

 6      int i,k;

 7      for( i=num.size()-2;i>=0;i--){

 8          if(num[i]<num[i+1]){

 9              break;

10          }

11      }

12 

13      for(k=num.size()-1;k>i;k--){

14          if(num[k]>num[i]){

15              break;

16          }

17      }

18 

19      swap(num[i],num[k]);

20      reverse(num.begin()+i+1,num.end());

21 }