[LeetCode] (medium) 491. Increasing Subsequences

https://leetcode.com/problems/increasing-subsequences/

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. 

---

dfs，針對每一個層級內部記錄並排除重複實現剪枝，前面的子串對後面的子串有完全的覆蓋效果（在同一個層級中）

class Solution {
public:
    vector<vector<int>> result;
    vector<int> inter;
    
    vector<vector<int>> findSubsequences(vector<int>& nums) {
        dfs(0, nums);
        
        return result;
    }
    
    void dfs(int pos, vector<int>& nums){
        if(inter.size() >= 2) result.push_back(inter);
        if(pos >= nums.size()) return;
        
        unordered_map<int, int> used;
        
        for(int i = pos; i < nums.size(); ++i){
            if((inter.empty() || nums[i] >= inter.back()) && used.find(nums[i]) == used.end()){
                inter.push_back(nums[i]);
                dfs(i+1, nums);
                inter.pop_back();
                used[nums[i]] = 1;
            }
        }
    }
};