Description
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 <= y <= 2160, what will be the Factstone rating of Amtel's most recently released chip?
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 <= y <= 2160, what will be the Factstone rating of Amtel's most recently released chip?
Input
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.
Output
For each test case, output a line giving the Factstone rating.
Sample Input
1960 1981 0
Sample Output
3 8
由于这是高精度没法用普通方式计算阶乘,否则会TLE可以用斯特林(Stirling)公式求解
斯特林(Stirling)公式:
|
#include <stdio.h> int main() { int year; int endflag; int n; double sum; while(scanf("%d", &year),year) { endflag = 1<<((year - 1960) / 10 + 2); n = 2; sum = 0; while(sum <= endflag) { sum += log(n) / log(2); ++n; } printf("%d\n", n - 2); } return 0; }