LeetCode #491 - Increasing Subsequences

题目描述:

Given an integer array, your task is to find all the different possible increasing subsequences of the given array, and the length of an increasing subsequence should be at least 2 .

Example:

Input: [4, 6, 7, 7]
Output: [[4, 6], [4, 7], [4, 6, 7], [4, 6, 7, 7], [6, 7], [6, 7, 7], [7,7], [4,7,7]]

Note:

  1. The length of the given array will not exceed 15.
  2. The range of integer in the given array is [-100,100].
  3. The given array may contain duplicates, and two equal integers should also be considered as a special case of increasing sequence.

找出一个数组中所有的单增序列,由于不能改变数组元素顺序,所以比较难进行去重操作,利用集合是比较简单的方法。

class Solution {
public:
    vector<vector<int>> findSubsequences(vector<int>& nums) {
        set<vector<int>> s;
        vector<int> cur;
        findSubsequences_recur(nums,0,cur,s);
        vector<vector<int>> result(s.begin(),s.end());
        return result;
    }
    
    void findSubsequences_recur(vector<int> nums, int i,vector<int> cur, set<vector<int>>& s)
    {
        if(i==nums.size())
        {
            if(cur.size()>=2) s.insert(cur);
            return;
        }
        
        findSubsequences_recur(nums,i+1,cur,s);
        if(cur.size()==0||nums[i]>=cur.back())
        {
            cur.push_back(nums[i]);
            findSubsequences_recur(nums,i+1,cur,s); 
        }
    }
};

 

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