human
Can you provide a code to print Longest Bitonic subsequence ( Space Optimized Approach ) and the other steps required given the following:
Print Longest Bitonic subsequence ( Space Optimized Approach ) | Function to print the longest bitonic subsequence.
Function to generate the longest bitonic subsequence.
Store the lengths of LIS ending at every index.
Store the lengths of LDS ending at every index.
Compute LIS for all indices.
Compute LDS for all indices.
Find the index having maximum value of lis [ i ] + lds [ i ] + 1.
Stores the count of elements in increasing order in Bitonic subsequence.
Store the increasing subsequence.
Sort the bitonic subsequence to arrange smaller elements at the beginning.
Stores the count of elements in decreasing order in Bitonic subsequence.
Print the longest bitonic sequence.
Driver code"
How can the above be solved in Python?
assistant
#Here is code to print Longest Bitonic subsequence ( Space Optimized Approach ) and the other steps required.
 def printRes ( res ) :
	n = len ( res )
	for i in range ( n ) :
		print ( res [ i ] , end = " ▁ " )
def printLBS ( arr , N ) :
	lis = [ 0 ] * N
	lds = [ 0 ] * N
	for i in range ( N ) :
		lis [ i ] = lds [ i ] = 1
	for i in range ( N ) :
		for j in range ( i ) :
			if arr [ j ] < arr [ i ] :
				if lis [ i ] < lis [ j ] + 1 :
					lis [ i ] = lis [ j ] + 1
	for i in range ( N - 1 , - 1 , - 1 ) :
		for j in range ( N - 1 , i , - 1 ) :
			if arr [ j ] < arr [ i ] :
				if lds [ i ] < lds [ j ] + 1 :
					lds [ i ] = lds [ j ] + 1
	MaxVal = arr [ 0 ]
	inx = 0
	for i in range ( N ) :
		if MaxVal < lis [ i ] + lds [ i ] - 1 :
			MaxVal = lis [ i ] + lds [ i ] - 1
			inx = i
	ct1 = lis [ inx ]
	res = [ ]
	i = inx
	while i >= 0 and ct1 > 0 :
		if lis [ i ] == ct1 :
			res . append ( arr [ i ] )
			ct1 -= 1
		i -= 1
	res . reverse ( )
	ct2 = lds [ inx ] - 1
	i = inx
	while i < N and ct2 > 0 :
		if lds [ i ] == ct2 :
			res . append ( arr [ i ] )
			ct2 -= 1
		i += 1
	printRes ( res )
arr = [ 80 , 60 , 30 , 40 , 20 , 10 ]
N = len ( arr )
printLBS ( arr , N )