Tri Tiling
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Description
In how many ways can you tile a 3xn rectangle with 2x1 dominoes?
In how many ways can you tile a 3xn rectangle with 2x1 dominoes?
Here is a sample tiling of a 3x12 rectangle.
Input
Input consists of several test cases followed by a line containing -1. Each test case is a line containing an integer 0 <= n <= 30.
Output
For each test case, output one integer number giving the number of possible tilings.
Sample Input
2
8
12
-1
Sample Output
3
153
2131
Source
Waterloo local 2005.09.24
source code
#include<stdio.h> long long a[31]; int main() { long long n; int i; a[0]=1; a[2]=3; for(i=4;i<=30;i+=2) a[i]=4*a[i-2]-a[i-4]; while(scanf("%lld",&n)) { if(n==-1) break; printf("%lld\n",a[n]); } }
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