human
Can you provide a code to maximize the length of upper boundary formed by placing given N rectangles horizontally or vertically and the other steps required given the following:
Maximize the length of upper boundary formed by placing given N rectangles horizontally or vertically | Function to find maximum length of the upper boundary formed by placing each of the rectangles either horizontally or vertically.
Stores the intermediate transition states.
Place the first rectangle horizontally.
Place the first rectangle vertically.
Place horizontally.
Stores the difference in height of current and previous rectangle.
Take maximum out of two options.
Place Vertically.
Stores the difference in height of current and previous rectangle.
Take maximum out two options.
Print maximum of horizontal or vertical alignment of the last rectangle.
Driver Code"
How can the above be solved in Python?
assistant
#Here is code to maximize the length of upper boundary formed by placing given N rectangles horizontally or vertically and the other steps required.
 def maxBoundary ( N , V ) :
	dp = [ [ 0 for i in range ( 2 ) ] for j in range ( N ) ]
	dp [ 0 ] [ 0 ] = V [ 0 ] [ 0 ]
	dp [ 0 ] [ 1 ] = V [ 0 ] [ 1 ]
	for i in range ( 1 , N , 1 ) :
		dp [ i ] [ 0 ] = V [ i ] [ 0 ]
		height1 = abs ( V [ i - 1 ] [ 1 ] - V [ i ] [ 1 ] )
		height2 = abs ( V [ i - 1 ] [ 0 ] - V [ i ] [ 1 ] )
		dp [ i ] [ 0 ] += max ( height1 + dp [ i - 1 ] [ 0 ] , height2 + dp [ i - 1 ] [ 1 ] )
		dp [ i ] [ 1 ] = V [ i ] [ 1 ]
		vertical1 = abs ( V [ i ] [ 0 ] - V [ i - 1 ] [ 1 ] ) ;
		vertical2 = abs ( V [ i ] [ 0 ] - V [ i - 1 ] [ 1 ] ) ;
		dp [ i ] [ 1 ] += max ( vertical1 + dp [ i - 1 ] [ 0 ] , vertical2 + dp [ i - 1 ] [ 1 ] )
	print ( max ( dp [ N - 1 ] [ 0 ] , dp [ N - 1 ] [ 1 ] ) - 1 )
if __name__ == ' _ _ main _ _ ' :
	N = 5
	V = [ [ 2 , 5 ] , [ 3 , 8 ] , [ 1 , 10 ] , [ 7 , 14 ] , [ 2 , 5 ] ]
	maxBoundary ( N , V )