[Sword refers to Offer] The rectangle is covered, and the sword refers to the offer rectangle.

Source: Internet
Author: User

[Sword refers to Offer] The rectangle is covered, and the sword refers to the offer rectangle.
Problem description

We can use a 2*1 small rectangle to overwrite a larger rectangle either horizontally or vertically.
I would like to ask you to use n small rectangles of 2*1 to overwrite a large rectangle of 2 * n without overlap,
How many methods are there in total?

Solutions

N = 1-only one rectangle is placed horizontally.
N = 2-two solutions: horizontal and vertical rectangular
N = 3-n = 2 plus 1 transverse, n = 1 plus 2 vertical
N = 4-n = 3 plus 1 transverse, n = 2 plus 2 vertical
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N = n-n = f (n-1) + f (n-2)

Fibonacci variant .....

Code Implementation
``Class Solution {public: int rectCover (int number) {if (number = 0) return 0; else if (number = 1) {return 1 ;} else if (number = 2) {return 2;} return rectCover (number-1) + rectCover (number-2 );}};``

If this problem is found, you can calculate a few items from n = 0 or 1 (the same as the regular number of fields in the middle and high school ), to find the relationship between two numbers or several numbers.

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