📄 3067441_tle.java
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import java.util.*;
import java.math.*;
public class Main
{
static int num[] = new int [10001];
static int cnt[] = new int [10001];
public static void main(String[] args)
{
Scanner cin = new Scanner (System.in);
int a, b, m, t, i;
a = cin.nextInt();
b = cin.nextInt();
m = 0;
if(a%2==0)
{
num[m] = 2;
while(a%2==0)
{
a /= 2;
cnt[m]++;
}
cnt[m] *= b;
m++;
}
t = (int)Math.sqrt((double)(a))+1;
for(i = 3; i < t&&a!=1; i+=2)
{
if(a%i==0)
{
num[m] = i;
while(a%i==0)
{
a /= i;
cnt[m]++;
}
cnt[m] *= b;
t = (int)Math.sqrt((double)(a))+1;
m++;
}
}
if(a!=1)
{
num[m] = a;
cnt[m] = b;
m++;
}
BigInteger mod = new BigInteger("9901");
BigInteger n = new BigInteger("1");
for(i = 0; i < m; i++)
{
n = n.multiply(BigInteger.valueOf(num[i]).pow(cnt[i]+1).subtract(BigInteger.ONE).divide(BigInteger.valueOf(num[i]-1)));
n = n.mod(mod);
}
System.out.println(n);
}
}
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