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【2016 CCPC 网络赛 】A A water problem 好题


Time Limit: 5000/2500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 4839    Accepted Submission(s): 1594

 

Problem Description

Two planets named Haha and Xixi in the universe and they were created with the universe beginning.

There is 73 days in Xixi a year and 137 days in Haha a year. 

Now you know the days N after Big Bang, you need to answer whether it is the first day in a year about the two planets.

 

Input

There are several test cases(about 5 huge test cases).

For each test, we have a line with an only integer N(0≤N), the length of N is up to 10000000.

 

Output

For the i-th test case, output Case #i: , then output "YES" or "NO" for the answer.

 

Sample Input

10001
0
333

 

Sample Output

Case #1: YES
Case #2: YES
Case #3: NO

 

Author

UESTC

 

Source

​​2016中国大学生程序设计竞赛 - 网络选拔赛​​

问题链接:​​HDU5832 A water problem​​

问题描述:给出一个数N(位数不超过10000000),如果N是73和173的倍数的话输出YES,否则输出NO

题解:由于位数太多,使用Java的大数类会超内存,此题没有必要使用高精度,由于73和137的最小公倍数是10001,因此按位边乘边取模就行

#include<iostream>
#include<string>

using namespace std;

int main()
{
string s;
int cnt=1;
while(cin>>s)
{
int sum=0;
for(int i=0;i<s.length();i++)
sum=(sum*10+s[i]-'0')%10001;//10001是73和137的最小公倍数
cout<<"Case #"<<cnt++<<": ";
if(sum==0)
cout<<"YES"<<endl;
else
cout<<"NO"<<endl;
}
return 0;
}

 

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