3085 same last three, 3085 three

3085 same last three, 3085 three
3085 same last three

 

Time Limit: 1 s space limit: 256000 KB title level: Bronze Title Description Description

For the given p, write the program to find the minimum positive integer m, n (0 <n <m) Why the value, pm and the last three digits of pn are the same.

Input description Input Description

A positive integer p (100 ≤ p ≤ 9999)

Output description Output Description

One row. The minimum m and n, m and n are separated by spaces. If there are multiple groups, output the smallest m group.

Sample Input Sample Input

100

Sample output Sample Output

3 2

Data range and prompt Data Size & Hint

100 ≤ p ≤ 9999

 1 #include<iostream> 2 #include<cstdio> 3 #include<cmath> 4 using namespace std; 5 int f(int x,int n) 6 { 7     int now=1; 8     while(n) 9     {10         if(n&1)11         {12             now=now*x%1000;13         }14         x=x*x%1000;15         n>>=1;16     }17     return now%1000;18 }19 int main()20 {21     int p;22     cin>>p;23     for(int i=1;i<=1000;i++)24     {25         for(int j=1;j<=i;j++)26         {27             int x=f(p,i);28             int y=f(p,j);29             if(x==y&&i!=j)30             {31                 cout<<i<<" "<<j;32                 return 0;33             }34         }35     }36     return 0;37 }