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Maximum Sum Bitonic Subsequence
Easy Accuracy: 58.9% Submissions: 528 Points: 2

Given an array arr[] of N integers. A subsequence of arr[] is called Bitonic if it is first increasing then decreasing. Print the max sum bitonic subsequence.

Example 1:

Input :
N = 9
arr[] = {1, 15, 51, 45, 33,
100, 12, 18, 9}
Output : 194
Explanation :
Bi-tonic Sub-sequence are :
{1, 51, 9} or {1, 50, 100, 18, 9} or
{1, 15, 51, 100, 18, 9}  or
{1, 15, 45, 100, 12, 9}  or
{1, 15, 45, 100, 18, 9} .. so on
Maximum sum Bi-tonic sub-sequence is 1 +
15 + 51 + 100 + 18 + 9 = 194

Example 2:

Input :
N = 6
arr[] = {80, 60, 30, 40, 20, 10}
Output :
210
Explanation :
Here the sequence is strinctly decreasing.


You don't need to read input or print anything. Your task is to complete the function leftIndex() which takes the array arr[] and its size N as inputs and returns the maximum Bitonic sequence sum.

Expected Time Complexity: O(N2)
Expected Auxiliary Space: O(N)

Constraints:
1<=N<=103
1<=arr[]<=105

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