— Thanks a lot for today.

— I experienced so many great things.

— You gave me memories like dreams... But I have to leave now...

— One last request, can you...

— Help me solve a Codeforces problem?

— ......

— What?

Chtholly has been thinking about a problem for days:

If a number is palindrome and length of its decimal representation without leading zeros is even, we call it a zcy number. A number is palindrome means when written in decimal representation, it contains no leading zeros and reads the same forwards and backwards. For example 12321 and 1221 are palindromes and 123 and 12451 are not. Moreover, 1221 is zcy number and 12321 is not.

Given integers k and p, calculate the sum of the k smallest zcy numbers and output this sum modulo p.

Unfortunately, Willem isn't good at solving this kind of problems, so he asks you for help!

Input

The first line contains two integers k and p (1 ≤ k ≤ 105, 1 ≤ p ≤ 109).

Output

Output single integer — answer to the problem.

Examples

Input

2 100


Output

33


Input

5 30


Output

15

Note

In the first example, the smallest zcy number is 11, and the second smallest zcy number is 22.

In the second example, <image>.

import java.util.*;
import java.io.*;
import java.math.*;

public class Main {

    static BufferedReader in;
    static StringTokenizer stk;
    static boolean[] isPrime = new boolean[5000];

    public static void main(String[] args) throws Exception {
        in = new BufferedReader(new InputStreamReader(System.in));
        stk = new StringTokenizer(in.readLine());
        // Start of User Code
        int k = ni();
        long p = ni();

        long res = 0;
        for(int i = 1; i<=k; i++){
            String s = i + "";
            s = s + new StringBuilder(s).reverse();
            res += Long.parseLong(s);
            res %= p;
        }
        System.out.println(res);
        // End of User Code
        in.close();
    }

    static long modPow(long n, long pow, long mod) {
        return BigInteger.valueOf(n).modPow(BigInteger.valueOf(pow), BigInteger.valueOf(mod)).longValue();
    }

    static long modInv(long n, long mod, boolean isPrimeModuli) {
        if (isPrimeModuli) {
            return modPow(n, mod - 2, mod);
        }
        return BigInteger.valueOf(n).modInverse(BigInteger.valueOf(mod)).longValue();
    }
    // calc factorials
    static long[] fact;

    static void calcFactorials(int n) {
        fact = new long[n + 1];
        fact[0] = 1;
        for (int i = 1; i <= n; i++) {
            fact[i] = fact[i - 1] * i;
        }
    }

    static void calcFactorialsModM(int n, long M) {
        fact = new long[n + 1];
        fact[0] = 1;
        for (int i = 1; i <= n; i++) {
            fact[i] = fact[i - 1] * i;
            fact[i] %= M;
        }
    }

    static long ncr(int n, int r) {
        return fact[n] / (fact[n - r] * fact[r]);
    }

    static long ncrModM(int n, int r, long MOD, boolean isPrimeModuli) {
        return (((fact[n] * modInv(fact[n - r], MOD, isPrimeModuli)) % MOD) * modInv(fact[r], MOD, isPrimeModuli)) % MOD;
    }

    static long toL(String s) {
        return Long.parseLong(s);
    }

    static long toL(BigInteger n) {
        return n.longValue();
    }

    static int toI(String s) {
        return Integer.parseInt(s);
    }

    static double toD(String s) {
        return Double.parseDouble(s);
    }

    static String proc() {
        return null;
    }

    static void printf(String format, Object... args) {
        System.out.printf(format, args);
    }

    static int ni() throws Exception {
        while (!stk.hasMoreTokens()) {
            stk = new StringTokenizer(in.readLine());
        }
        return Integer.parseInt(stk.nextToken());
    }

    static long nl() throws Exception {
        while (!stk.hasMoreTokens()) {
            stk = new StringTokenizer(in.readLine());
        }
        return Long.parseLong(stk.nextToken());
    }

    static double nd() throws Exception {
        while (!stk.hasMoreTokens()) {
            stk = new StringTokenizer(in.readLine());
        }
        return Double.parseDouble(stk.nextToken());
    }

    static String ns() throws Exception {
        while (!stk.hasMoreTokens()) {
            stk = new StringTokenizer(in.readLine());
        }
        return stk.nextToken();
    }

    static int min(int a, int b) {
        return a < b ? a : b;
    }

    static int max(int a, int b) {
        return a > b ? a : b;
    }

    static long min(long a, long b) {
        return a < b ? a : b;
    }

    static long max(long a, long b) {
        return a > b ? a : b;
    }

    static int gcd(int a, int b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }

    static long gcd(long a, long b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }
}
