To become the king of Codeforces, Kuroni has to solve the following problem.

He is given n numbers a_1, a_2, ..., a_n. Help Kuroni to calculate ∏_{1≤ i<j≤ n} |a_i - a_j|. As result can be very big, output it modulo m.

If you are not familiar with short notation, ∏_{1≤ i<j≤ n} |a_i - a_j| is equal to |a_1 - a_2|⋅|a_1 - a_3|⋅ ... ⋅|a_1 - a_n|⋅|a_2 - a_3|⋅|a_2 - a_4|⋅ ... ⋅|a_2 - a_n| ⋅ ... ⋅ |a_{n-1} - a_n|. In other words, this is the product of |a_i - a_j| for all 1≤ i < j ≤ n.

Input

The first line contains two integers n, m (2≤ n ≤ 2⋅ 10^5, 1≤ m ≤ 1000) — number of numbers and modulo.

The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^9).

Output

Output the single number — ∏_{1≤ i<j≤ n} |a_i - a_j| mod m.

Examples

Input


2 10
8 5


Output


3

Input


3 12
1 4 5


Output


0

Input


3 7
1 4 9


Output


1

Note

In the first sample, |8 - 5| = 3 ≡ 3 mod 10.

In the second sample, |1 - 4|⋅|1 - 5|⋅|4 - 5| = 3⋅ 4 ⋅ 1 = 12 ≡ 0 mod 12.

In the third sample, |1 - 4|⋅|1 - 9|⋅|4 - 9| = 3 ⋅ 8 ⋅ 5 = 120 ≡ 1 mod 7.
/*
 * Remember a 6.72 student can know more than a 10.0 student.
 * Grades don't determine intelligence, they test obedience. 
 * I Never Give Up.
 * I will become Candidate Master today.
 * I will defeat Saurabh Anand.
 * Skills are Cheap,Passion is Priceless.
 */
import java.util.*;
import java.util.Map.Entry;
import java.io.*;

import static java.lang.System.out;
import static java.util.Arrays.*;
import static java.lang.Math.*;
 
public class ContestMain{
	private static Reader in=new Reader();
	private static StringBuilder ans=new StringBuilder();
	private static long MOD=(long)1e9+7;
	private static final int N=(int) (1e6+7); // 1e5+7
    private static ArrayList<Integer> v[]=new ArrayList[N];
	private static boolean mark[]=new boolean[N];
//    private static BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
	private static long powmod(long x,long n){
		if(n==0||x==0)
			return 1;
		else if(n%2==0)
			return(powmod((x*x)%MOD,n/2));
		else
			return (x*(powmod((x*x)%MOD,(n-1)/2)))%MOD;
	}
	private static void shuffle(long[] arr){
		for(int i=arr.length-1;i>=2;i--){
			int x=new Random().nextInt(i-1);
			long temp=arr[x];
			arr[x]=arr[i];
			arr[i]=temp;
		}
	}
	private static void shuffle(int[] arr){
		for(int i=arr.length-1;i>=2;i--){
			int x=new Random().nextInt(i-1);
			int temp=arr[x];
			arr[x]=arr[i];
			arr[i]=temp;
		}
	}
    private static long gcd(long a, long b){
        if(b==0)return a;
        return gcd(b,a%b);
    }
//    private static boolean check(int x,int y){
//        if((x>=0&&x<n)&&(y>=0&&y<m)&&mat[x][y]!='X'&&!visited[x][y])return true;
//        return false;
//    }
    public static int mod(int n,int c){
    	if(n<0)return n%c+c;
    	return n%c;
    }
//    public static boolean setCheck(long num,int pos){
//    	int c=1;
//    	int len=0;
//    	while(c<=num){
//    		if(len==pos&&(num&c)>=1){
//    			return true;
//    		}
//    		len++;
//    		c<<=1;
//    	}
//    	return false;
//    }
//    public static void setBit(int bit[],long num){
//    	long c;
//    	for(int j=0;j<64;j++){
//    		c=1L<<j;
//			if((num&c)>=1){
//				bit[j]++;
//			}
//		}
//    }
//    static void swap(int a[],int index1,int index2){
//		int temp=a[index1];
//		a[index1]=a[index2];
//		a[index2]=temp;
//	}
//    static void reverse(int a[],int start,int end){  //Start should be equal to k+1 but end should be less than end
//		int temp;
//		int temp_a[]=new int[end-start];
//		for(int i=0;i<temp_a.length;i++)
//			temp_a[i]=a[start++];
//		for(int i=0;i<temp_a.length;i++){
//			a[--end]=temp_a[i];
//		}
//	}
//    static int next_permutation(int ar[]){
//		int k=0,l=0;
//		int index=0;
//		while(index<ar.length-1){
//			if(ar[index]<ar[index+1])k=index;
//			index++;
//		}
//		int value=ar[k];
//		for(int i=k+1;i<ar.length;i++){
//			if(value<ar[i])l=i;
//		}
//		swap(ar,k,l);
//		if(k!=l){
//			reverse(ar,k+1,ar.length);
//			return 1;
//		}
//		else return 0;
//	}	
	public static void main(String[] args) throws IOException{
		int n=in.nextInt();
		int m=in.nextInt();
		int ar[]=new int[n];
		for(int i=0;i<n;i++)
			ar[i]=in.nextInt();
		if(n>1000){pn(0);return;}
		long res=1,d;
		for(int i=0;i<n;i++){
			for(int j=i+1;j<n;j++){
				d=abs(ar[i]-ar[j])%m;
				res=(res*d)%m;
			}
		}
		pn(res);
	}
	static class Pair<T> implements Comparable<Pair>{
		int l;
		int r;
		Pair(){
			l=0;
			r=0;
		}
		Pair(int k,int v){
			l=k;
			r=v;
		}
		@Override
		public int compareTo(Pair o){
			if(l!=o.l)return (int)(l-o.l);
			return (int)(r-o.r);
		}
		// Fenwick tree question comparator
//        @Override
//        public int compareTo(Pair o) {
//            if(o.r!=r)return (int) (r-o.r);
//            else return (int)(l-o.l);
//        }
	}
	//Reader Class
	static class Reader{
		BufferedReader br;
		StringTokenizer st;
		public Reader(){br=new BufferedReader(new InputStreamReader(System.in));}
		String next(){
			while(st==null||!st.hasMoreElements()){
				try{st=new StringTokenizer(br.readLine());
				}catch(IOException e){e.printStackTrace();}
			}
			return st.nextToken();
		}
		int nextInt(){return Integer.parseInt(next());}
		long nextLong(){return Long.parseLong(next());}
		double nextDouble(){return Double.parseDouble(next());}
		String nextLine(){
			String str="";
			try{
				str=br.readLine();
			}catch(IOException e){
				e.printStackTrace();
			}
			return str;
		}
	}
	//Printer Methods
	static void pn(Object o){out.print(o);}
	static void pln(Object o){out.println(o);}
	static void pln(){out.println();}
	static void pf(String format,Object o){out.printf(format,o);}
	//Appenders
	static void app(Object o){ans.append(o);}
}