We can use a small rectangle 2 * 1 sideways or vertically to cover a larger rectangle. Will the use of eight 2 small rectangle 1
non-overlapping coverage of a 2 large rectangular 8, how many ways are there?
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* The schematic as a rectangle.
Obviously, such a big problem that we can break down into smaller problems, such as, for this rectangle 2 * 8 placement method f (8), if for the first time on end, then left f (7 ) placement methods need to be considered, however, for the first time, also can be placed sideways, then left the placement method has f (6) need to be considered. Thus, f (8) There are two modes, i.e., f (8) = f (7) + f (6). This is a Fibonacci number of columns cut problem, f (1) = 1, f (2) = 2, accordingly, we can write the program.
class Solution:
def rectangle_cover(self, number):
if number == 0:
return
if number == 1:
return 1
if number == 2:
return 2
if number > 2:
tempArray = [1, 2]
for i in range(3, number + 1):
tempArray[i%2] = tempArray[0] + tempArray[1]
return tempArray[number % 2]
