human
Can you provide a code to minimize cost of placing tiles of dimensions 2 * 1 over a Matrix and the other steps required given the following:
Minimize cost of placing tiles of dimensions 2 * 1 over a Matrix | Function to find the minimum cost in placing N tiles in a grid M [ ] [ ].
Stores the minimum profit after placing i tiles.
Traverse the grid [ ] [ ].
Update the orig_cost.
Traverse over the range [ 2 , N ].
Place tiles horizentally or vertically.
Print the answer.
Driver Code"
How can the above be solved in Python?
assistant
#Here is code to minimize cost of placing tiles of dimensions 2 * 1 over a Matrix and the other steps required.
 def tile_placing ( grid , N ) :
	dp = [ 0 ] * ( N + 5 ) ;
	orig_cost = 0 ;
	for i in range ( 2 ) :
		for j in range ( N ) :
			orig_cost += grid [ i ] [ j ] ;
	dp [ 0 ] = 0 ;
	dp [ 1 ] = abs ( grid [ 0 ] [ 0 ] - grid [ 1 ] [ 0 ] ) ;
	for i in range ( 2 , N + 1 ) :
		dp [ i ] = max ( dp [ i - 1 ] + abs ( grid [ 0 ] [ i - 1 ] - grid [ 1 ] [ i - 1 ] ) , dp [ i - 2 ] + abs ( grid [ 0 ] [ i - 2 ] - grid [ 0 ] [ i - 1 ] ) + abs ( grid [ 1 ] [ i - 2 ] - grid [ 1 ] [ i - 1 ] ) ) ;
	print ( orig_cost - dp [ N ] , end = " " ) ;
if __name__ == " _ _ main _ _ " :
	M = [ [ 7 , 5 , 1 , 3 ] , [ 8 , 6 , 0 , 2 ] ] ;
	N = len ( M [ 0 ] ) ;
	tile_placing ( M , N ) ;