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Permutations II in C++
Suppose we have a collection of distinct integers; we have to find all possible permutations. Now if the array stores the duplicate elements, then ignore that state which is looking similar. So if the array is like [1,1,3], then the result will be [[1,1,3], [1,3,1], [3,1,1]]
To solve this, we will follow these steps −
- We will use the recursive approach, this will make the list, index. Index is initially 0
- if index = size of the list then insert list into res array, and return
- for i in range index to length of given list – 1
- if list[i] = list[index] and i is not same as index, then continue without looking the next step
- swap the elements of list present at index start and i
- permutation(list, start + 1)
- initially call the permutation(list), and return res
Example(C++)
Let us see the following implementation to get a better understanding −
#include <bits/stdc++.h> using namespace std; void print_vector(vector<vector<int> > v){ cout << "["; for(int i = 0; i<v.size(); i++){ cout << "["; for(int j = 0; j <v[i].size(); j++){ cout << v[i][j] << ", "; } cout << "],"; } cout << "]"<<endl; } class Solution { public: vector < vector <int> > res; void solve(vector <int> nums, int idx = 0){ if(idx == nums.size()){ res.push_back(nums); return; } for(int i = idx; i <nums.size(); i++){ if(nums[i] == nums[idx] && i != idx)continue; swap(nums[i], nums[idx]); solve(nums, idx + 1); } } vector<vector<int>> permuteUnique(vector<int>& nums) { res.clear(); sort(nums.begin(), nums.end()); solve(nums); return res; } }; main(){ Solution ob; vector<int> v = {1,1,3}; print_vector(ob.permuteUnique(v)); }
Input
[1,1,3]
Output
[[1,1,3],[1,3,1],[3,1,1]]
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