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# Statement

Bob has to send a secret code 5 to his boss. He designs a method to encrypt the code using two key
values N and M. The formula that he uses to develop the encrypted code is shown below:

(((S^N % 10)^M)%1000000007)

### Input Format

The input consists of an integer secretCode, representing the secret code (S).

The second line consists of an integer firstkey, representing the first key value (N)

The third line consists of an integer secondkey, representing the second key value (M).

### Output

Print an integer representing thecode encrypted by Bob.

### Example

Input:

``````2
3
4
``````

Output:

``````4096
``````

### Explanation

S=2 , N=3 , M = 4 and the formula of the encrypted code is:
(((S^N % 10)^M)%1000000007)
((2^3 % 10)^3)%1000000007) = 4096

## Solution

``````//secret key Persistent
import java.util.Scanner;
import java.lang.Math;

public class persistent2 {
public static int findSecretCode(int secretCode, int firstKey , int secondKey) {
int q= (int) Math.pow(secretCode,firstKey);
int w =q%10;
int e = (int) Math.pow(w,secondKey);

int res = e%1000000007;
return res;
}
public static void main(String args[])
{
Scanner in= new Scanner(System.in);
int secretCode = in.nextInt();
int firstKey =in.nextInt();
int secondKey = in.nextInt();

System.out.println(findSecretCode(secretCode,  firstKey , secondKey));
}

}

``````