human
Count number of ways to fill a " n ▁ x ▁ 4" grid using "1 ▁ x ▁ 4" tiles | Returns count of count of ways to place 1 x 4 tiles on n x 4 grid ..
Create a table to store results of subproblems dp [ i ] stores count of ways for i x 4 grid ..
Fill the table from d [ 1 ] to dp [ n ].
Base cases.
dp ( i - 1 ) : Place first tile horizontally dp ( n - 4 ) : Place first tile vertically which means 3 more tiles have to be placed vertically ..
Driver code to test above"
Solution in Python:
 ... Can you provide a code to count number of ways to fill a " n ▁ x ▁ 4" grid using "1 ▁ x ▁ 4" tiles and the other steps required?
assistant
#Here is code to count number of ways to fill a " n ▁ x ▁ 4" grid using "1 ▁ x ▁ 4" tiles and the other steps required.
 def count ( n ) :
	dp = [ 0 for _ in range ( n + 1 ) ]
	for i in range ( 1 , n + 1 ) :
		if i <= 3 :
			dp [ i ] = 1
		elif i == 4 :
			dp [ i ] = 2
		else :
			dp [ i ] = dp [ i - 1 ] + dp [ i - 4 ]
	return dp [ n ]
n = 5
print ( " Count ▁ of ▁ ways ▁ is " ) ,
print ( count ( n ) )