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Sub Array Sum

LEVEL:Beginner

Description

Given an array of integers and value X. You have to find the sub array whose sum is equal to X. If it is not found print -1.

Input Format

First line contains the size of the first array. Next line contains the m integers separated by the spaces. Next line contains the value X.

Output Format

Print the subarray elements.


Example 1:

Input
6
2 5 1 6 3 7
15
Output
5 1 6 3
Example 2:

Input
10
3 7 2 8 9 1 10 6 11 4
46
Output
3 7 2 8 9 1 10 6
Example 3:

Input
4
7 2 9 3
23
Output
-1

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Approach

Approach1:

Step-i) Initialize a 2 dimensional matrix of size n*n array size.
Step-ii) Iterate a loop i from 0 to n.
Step-iii) Initialize a[i][i]=0.
Step-iv) Iterate other loop j from i+1 to n.
Step-v) Assign a[i][j] with sum of a[i-1][j] and a[j].
Step-vi) While finding, if any value is equal to given sum, then return it.

Time Complexity: O(n^2)
Space Complexity: O(n^2)

Approach2:

Step-i) consider the 1st element and take it as a sub array
Step-ii) start from the 2nd element and add the elements one by one
Step-iii) if that is equal to the sum, return it
Step-iv) if the adding element > sum remove it
Step-v) If sum of the subarray elements exceeds the sum, then remove before elements while sum of the sub array elemts is greater than sum.

Time Complexity: O(n logn)
Space Complexity: O(n)


Note :

Let us know if you can come up with a better approach, mail us at support@theinquisitive.in Your approach will be reviewed and posted with credits to you.

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