LeetCode46,47 Permutations, Permutations II

题目:

LeetCode46 I

Given a collection of distinct numbers, return all possible permutations. (Medium)

For example,
[1,2,3] have the following permutations:

[
[1,2,3],
[1,3,2],
[2,1,3],
[2,3,1],
[3,1,2],
[3,2,1]
]

LeetCode47 II

Given a collection of numbers that might contain duplicates, return all possible unique permutations.(Medium)

For example,
[1,1,2] have the following unique permutations:

[
[1,1,2],
[1,2,1],
[2,1,1]
]

分析: 首先先用next_permutation解这两个题。用好STL。

Permutations I:

 class Solution {
public:
vector<vector<int>> permute(vector<int>& nums) {
vector<vector<int>> result;
int len = nums.size();
sort(nums.begin(), nums.end());
do {
result.push_back(nums);
} while (next_permutation(nums.begin(),nums.end())); return result;
}
};

Permutations II:

 class Solution {
public:
vector<vector<int>> permuteUnique(vector<int>& nums) {
vector<vector<int>> result;
int len = nums.size();
sort(nums.begin(), nums.end());
do {
result.push_back(nums);
} while (next_permutation(nums.begin(),nums.end())); return result;
}
};

当然,用STL写好的函数肯定不是面试的目的,permutation的递归方法也是经典的回溯算法题。

代码:

 class Solution {
private:
vector<vector<int>> result;
void helper(vector<int>& nums, int start, int end) {
if (start == end) {
result.push_back(nums);
}
for (int i = start; i <= end; ++i) {
swap(nums[start], nums[i]);
helper(nums, start + , end);
swap(nums[start], nums[i]);
}
}
public:
vector<vector<int>> permute(vector<int>& nums) {
helper(nums, , nums.size() - );
return result;
}
};
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