Examine if each Subarray of even size has sum 0
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Given an array A[ ] of dimension N, the duty is to test if the sum of each evensized subarray is 0 or not.
Examples:
Enter: N = 4, A[] = {8, 8, 7, 9}
Output: NO
Clarification: Sum of subarray {7, 9} will not be 0.Enter: N = 2, A[] = {0, 0}
Output: YES
Clarification: The one attainable even size subarray is {0, 0} and its sum is 0.
Naive Method: The essential strategy to clear up the issue is as follows:
Generate all attainable even size subarrays and test if sum is 0 or not and return “YES” or “NO” accordingly.
Time Complexity: O(N^{2})
Auxiliary House: O(1)
Environment friendly Method: To resolve the issue observe the beneath thought:
The thought is to test the entire array as soon as for all attainable subarrays of size 2 as a result of all different evn sized subarrays of size higher than 2 may be made by combining subarrays of size 2. So if all subarrays of size 2 have sum 0, all different even sized subarrays can even have sum 0.
Observe the steps talked about beneath to implement the thought:
 Begin iterating from i = 1 to N1:
 Examine if the sum of A[i] and A[i1] is 0 or not.
 If it’s not 0, return the reply as “NO” and no have to calculate additional.
 If the iteration is over and the situation is happy for all of the subarrays, return “YES” because the required reply.
Under is the implementation of the above method.
C++

Time Complexity: O(N)
Auxiliary House: O(1)
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