human
Longest subsequence with non negative prefix sum at each position | Function to find the length of the longest subsequence with non negative prefix sum at each position.
Initialize dp array with - 1.
Maximum subsequence sum by including no elements till position 'i.
Maximum subsequence sum by including first element at first position.
Iterate over all the remaining positions.
If the current element is excluded.
If current element is included and if total sum is positive or not.
Select the maximum j by which a non negative prefix sum subsequence can be obtained.
Print the answer.
Driver Code"
How can the above be solved in Python?

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Write me a code to longest subsequence with non negative prefix sum at each position and the other steps required?
assistant
#Here is code to longest subsequence with non negative prefix sum at each position and the other steps required.
 def longestSubsequence ( arr , N ) :
	dp = [ [ - 1 for i in range ( N + 1 ) ] for i in range ( N ) ]
'
	for i in range ( N ) :
		dp [ i ] [ 0 ] = 0
	dp [ 0 ] [ 1 ] = arr [ 0 ] if arr [ 0 ] >= 0 else - 1
	for i in range ( 1 , N ) :
		for j in range ( 1 , i + 2 ) :
			if ( dp [ i - 1 ] [ j ] != - 1 ) :
				dp [ i ] [ j ] = max ( dp [ i ] [ j ] , dp [ i - 1 ] [ j ] )
			if ( dp [ i - 1 ] [ j - 1 ] >= 0 and dp [ i - 1 ] [ j - 1 ] + arr [ i ] >= 0 ) :
				dp [ i ] [ j ] = max ( dp [ i ] [ j ] , dp [ i - 1 ] [ j - 1 ] + arr [ i ] )
	ans = 0
	for j in range ( N + 1 ) :
		if ( dp [ N - 1 ] [ j ] >= 0 ) :
			ans = j
	print ( ans )
arr = [ 4 , - 4 , 1 , - 3 , 1 , - 3 ]
N = len ( arr )
longestSubsequence ( arr , N )