next-permutation

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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

程序:

class Solution {public:    void nextPermutation(vector<int> &num) {        if(num.size()<=1) return;        int i = num.size()-1;        while(i>0 && num[i]<=num[i-1]) --i;        if(i==0) {                           //5,4,3,2,1            reverse(num.begin(),num.end());        }else{            int j = num.size()-1;            while(num[j]<=num[i-1]) --j;            swap(num[j],num[i-1]);            reverse(num.begin()+i,num.end());        }    }};

点评:

实现“下一个排列”函数,将排列中的数字重新排列成字典序中的下一个更大的排列。 如果这样的重新排列是不可能的,它必须重新排列为可能的最低顺序(即升序排序)

if(i==0) { reverse(num.begin(),num.end()); //当不存在升序,则当前排列是最大排列,只要旋转整个序列变成最小排列。

从前往后找第一个升序对的位置,找到升序对,则存在交换大小顺序.从后往前找比当前位置打的元素,交换之