In the Fibonacci integer sequence, F0 = 0, F1 = 1, and Fn = Fn−1 + Fn−2 for n ≥ 2. For example, the first ten terms of the Fibonacci sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, . . . An alternative formula1 for the Fibonacci sequence is 

 Given an integer n, your goal is to compute the last 4 digits of Fn.

The input test file will contain multiple test cases. Each test case consists of a single line containing n (where 0 ≤ n ≤ 1,000,000,000). The end-of-file is denoted by a single line containing the number -1.

For each test case, print the last four digits of Fn. If the last four digits of Fn are all zeros, print ‘0’; otherwise, omit any leading zeros (i.e., print Fn mod 10000).

0
9
999999999
1000000000
-1

0
34
626
6875

nkoj1430 有链接提示的题目请先去链接处提交程序，AC后提交到SDUTOJ中，以便查询存档。

2006 Stanford Local Programming Contest