human
Write a function that takes an array and finds the maximum sum of a bitonic subsequence for the given array, where a sequence is bitonic if it is first increasing and then decreasing. Here is a solution in Python:
assistant
#Here is the Python program you requested.
 def max_sum(arr): 
	MSIBS = arr[:] 
	for i in range(len(arr)): 
		for j in range(0, i): 
			if arr[i] > arr[j] and MSIBS[i] < MSIBS[j] + arr[i]: 
				MSIBS[i] = MSIBS[j] + arr[i] 
	MSDBS = arr[:] 
	for i in range(1, len(arr) + 1): 
		for j in range(1, i): 
			if arr[-i] > arr[-j] and MSDBS[-i] < MSDBS[-j] + arr[-i]: 
				MSDBS[-i] = MSDBS[-j] + arr[-i] 
	max_sum = float("-Inf") 
	for i, j, k in zip(MSIBS, MSDBS, arr): 
		max_sum = max(max_sum, i + j - k) 
	return max_sum