Update appNew update is available. Click here to update.

Return Subsets Sum to K

profile
Contributed by
Ashwani
Medium
yellow-spark
0/80
40 mins
75 %
78 upvotes
SprinklrSamsungUber
+5 more

Problem Statement

Given an integer array 'ARR' of size 'N' and an integer 'K', return all the subsets of 'ARR' which sum to 'K'.

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.
Detailed explanation ( Input/output format, Notes, Images )
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 
Full screen
Reset Code
Full screen
Autocomplete
copy-code
Console