9

# Return Subsets Sum to K

Difficulty: MEDIUM
Contributed By
Avg. time to solve
40 min
Success Rate
75%

Problem Statement

#### Subset of an array 'ARR' is a tuple that can be obtained from 'ARR' by removing some (possibly all) elements of 'ARR'.

##### Note :
``````The order of subsets is not important.

The order of elements in a particular subset should be in increasing order of the index.
``````
##### Input Format
``````The first line of input contains an integer 'N', which denotes the size of the array.

The second line contains 'N' single-space separated integers representing the elements of the array.

The third line contains a single integer 'K', which denotes the integer to which the subsets should sum to.
``````
##### Output Format:
``````For each test case, print single-space separated integers of a subset of 'ARR' having sum = 'K'.

The output of each test case will be printed in a separate line.
``````
##### Note:
``````You do not need to print anything, it has already been taken care of. Just implement the given function.
``````
##### Constraints:
``````1 <= 'N' <= 16
- (10 ^ 6) <= ARR[i] <= (10 ^ 6)
- 16 * (10 ^ 6) <= 'K' <= 16 * (10 ^ 6)

Where ‘ARR[i]’ denotes the value for ‘ith’ element of the array ‘ARR’ and 'K' is the given sum.

Time Limit: 1 sec.
``````
##### Sample Input 1:
``````3
2 4 6
6
``````
##### Sample Output 1:
``````2 4
6
``````
##### Explanation of the Sample Input 1:
``````For the array'ARR' = {2, 4, 6}, we can have subsets {}, {2}, {4}, {6}, {2, 4}, {2, 6}, {4, 6}, {2, 4, 6}. Out of these 8 subsets, {2, 4} and {6} sum to the given 'K' i.e. 6.
``````
##### Sample Input 2:
``````6
5 -1 8 2 7 0
7
``````
##### Sample Output 2:
``````-1 8
-1 8 0
5 2
5 2 0
7
7 0
``````
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