UVa, 900 Brick Wall Patterns

Brick Wall Patterns

If we want to build a brick wall out of the usual size of brick which has a length twice as long as its height, and if our wall is to be two units tall, we can make our wall in a number of patterns, depending on how long we want it. From the figure one observe that:

• There is just one wall pattern which is 1 unit wide - made by putting the brick on its end.
• There are 2 patterns for a wall of length 2: two side-ways bricks laid on top of each other and two bricks long-ways up put next to each other.
• There are three patterns for walls of length 3.

How many patterns can you find for a wall of length 4? And, for a wall of length 5?

Problem

Your task is to write a program that given the length of a wall, determines how many patterns there may be for a wall of that length.

Intput

Your program receives a sequence of positive integers, one per line, each representing the length of a wall. The maximum value for the wall is length 50. The input terminates with a 0.

Output

For each wall length given in the input, your program must output the corresponding number of different patterns for such a wall in a separate line.

Sample Intput

1230

Sample Output

123

#include<iostream>using namespace std;int main(){    int n,i;    int a[100];    a[1]=1;    a[2]=2;    for(i=3;i<100;i++)    {        a[i]=a[i-2]+a[i-1];    }    while(cin>>n)    {        if(n==0)            break;        cout<<a[n]<<endl;    }    return 0;}