 10

Difficulty: MEDIUM
Avg. time to solve
15 min
Success Rate
85%

Problem Statement

You are given an array/list of ‘N’ integers. You are supposed to return the maximum sum of the subsequence with the constraint that no two elements are adjacent in the given array/list.

Note:
A subsequence of an array/list is obtained by deleting some number of elements (can be zero) from the array/list, leaving the remaining elements in their original order.
Input format:
The first line contains a single integer ‘T’ denoting the number of test cases.

The first line of each test case contains a single integer ‘N’ denoting the number of elements in the array.

The second line contains ‘N’ single space-separated integers denoting the elements of the array/list.
Output format:
For each test case, print a single integer that denotes the maximum sum of the non-adjacent elements.

Print the output of each test case 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 <= T <= 500
1 <= N <= 1000
0 <= ARR[i] <= 10^5

Where 'ARR[i]' denotes the 'i-th' element in the array/list.

Time Limit: 1 sec.
2
3
1 2 4
4
2 1 4 9
5
11
Explanation to Sample Output 1:
In test case 1, the sum of 'ARR' & 'ARR' is 5 which is greater than 'ARR' which is 2 so the answer is 5.

In test case 2, the sum of 'ARR' and 'ARR' is 6, the sum of 'ARR' and 'ARR' is 10, and the sum of 'ARR' and 'ARR' is 11. So if we take the sum of 'ARR' and 'ARR', it will give the maximum sum of sequence in which no elements are adjacent in the given array/list.
Sample Input 2:
2
5
1 2 3 5 4
9
1 2 3 1 3 5 8 1 9
8
24
Explanation to Sample Output 2:
In test case 1, out of all the possibilities, if we take the sum of 'ARR', 'ARR' and 'ARR', i.e. 8, it will give the maximum sum of sequence in which no elements are adjacent in the given array/list.

In test case 2, out of all the possibilities, if we take the sum of 'ARR', 'ARR', 'ARR', 'ARR' and 'ARR', i.e. 24 so, it will give the maximum sum of sequence in which no elements are adjacent in the given array/list.   Console