Problem D
Factstone Benchmark

Amtel has announced that it will release a 128-bit computer chip by 2010, a 256-bit computer by 2020, and so on, continuing its strategy of doubling the word-size every ten years. (Amtel released a 64-bit computer in 2000, a 32-bit computer in 1990, a 16-bit computer in 1980, an 8-bit computer in 1970, and a 4-bit computer, its first, in 1960.)

Amtel will use a new benchmark – the Factstone – to advertise the vastly improved capacity of its new chips. The Factstone rating is defined to be the largest integer $n$ such that $n!$ can be represented as an unsigned integer in a computer word.

Given a year $1960 \le y \le 2160$, what will be the Factstone rating of Amtel’s most recently released chip?


There are several test cases. For each test case, there is one line of input containing $y$. A line containing $0$ follows the last test case.


For each test case, output a line giving the Factstone rating.

Sample Input 1 Sample Output 1

Please log in to submit a solution to this problem

Log in