Factstone Benchmark
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Problem B: Factstone BenchmarkDescription
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. TheFactstone rating is defined to be the largest integer n such thatn! 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?
There are several test cases. For each test case, there is one line of input containingy. A line containing 0 follows the last test case. For each test case, output a line giving the Factstone rating.
Sample Input
196019810
Output for Sample Input
38
这是一个好题啊,刚开始还以为是个普通的比较题,结果发现数还是大,大到TLE,然后用log来避免指数,TLE依旧,然后发现阶层不需要算出来,只要算的过程中符合条件跳出就可以啦啦。
#include <stdio.h>#include <math.h>int main(){ int bit; int y = 0; long long n = 0; double n1 = 0; while (scanf ("%d",&y),y) { y = y - 1960; bit = 2; while (y >= 0) { bit *= 2; y -= 10; } n1 = 0; n = 0; while (n1 < bit) { n++; n1 += log(n)/log(2); } n--; printf ("%d\n",n); } return 0;}
0 0
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