BestCoder Round #50 (div.2) 1003

Problem Description

ZJiaQ want to become a strong man, so he decided to play the mook jong。ZJiaQ want to put some mook jongs in his backyard. His backyard consist of n bricks that is 1*1,so it is 1*n。ZJiaQ want to put a mook jong in a brick. because of the hands of the mook jong， the distance of two mook jongs should be equal or more than 2 bricks. Now ZJiaQ want to know how many ways can ZJiaQ put mook jongs legally(at least one mook jong).

Input

There ar multiply cases. For each case, there is a single integer n( 1 < = n < = 60)

Output

Print the ways in a single line for each case.

Sample Input

1	
2
3
4
5
6

Sample Output

1
2
3
5
8
12

#include <iostream>
#include <cstdio>
#include <cstring>
#include <queue>
#include <stack>
#include <algorithm>
#include <cmath>
#define LL long long
#define INF 0x3f3f3f3f
using namespace std;

LL a[65] = {0,1,2,3};

int main()
{
    int n;
    for(int i=4;i<=60;i++)
        a[i] = a[i-1]+ a[i-3]+1;
    while(cin>>n)
        cout<<a[n]<<endl;
    return 0;
}