Given a collection of distinct numbers, return all possible permutations.
For example,
[1,2,3] have the following permutations:
[1,2,3], [1,3,2], [2,1,3], [2,3,1], [3,1,2], and [3,2,1].
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class Solution {
public:
bool generateNext(vector<int> &nums) {
int len = nums.size(), i=0, j=0;
for(i=len-2; i >= 0; i--) {
if(nums[i] < nums[i+1]) break;
}
if(i < 0) return false;
for(j = len-1; j >= i; j--) {
if(nums[j] > nums[i]) break;
}
int temp = nums[j];
nums[j] = nums[i];
nums[i] = temp;
for(int l = i+1, r = len-1; l < r; l++, r--) {
temp = nums[r];
nums[r] = nums[l];
nums[l] = temp;
}
return true;
}
vector<vector<int> > permute(vector<int> &nums) {
sort(nums.begin(), nums.end());
vector<vector<int> > ans;
ans.push_back(nums);
while(generateNext(nums)) {
ans.push_back(nums);
}
return ans;
}
};
本文介绍了一种生成给定数字集合所有可能排列的算法实现。通过C++代码详细展示了如何找出一个整数序列的所有排列组合,并提供了具体示例,如[1,2,3]的全排列。
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