Polycarp loves geometric progressions very much. Since he was only three years old, he loves only the progressions of length three. He also has a favorite integer k and a sequence a, consisting of n integers.

He wants to know how many subsequences of length three can be selected from a, so that they form a geometric progression with common ratio k.

A subsequence of length three is a combination of three such indexes i1, i2, i3, that 1 ≤ i1 < i2 < i3 ≤ n. That is, a subsequence of length three are such groups of three elements that are not necessarily consecutive in the sequence, but their indexes are strictly increasing.

A geometric progression with common ratio k is a sequence of numbers of the form b·k0, b·k1, ..., b·kr - 1.

Polycarp is only three years old, so he can not calculate this number himself. Help him to do it.

Input

The first line of the input contains two integers, n and k (1 ≤ n, k ≤ 2·105), showing how many numbers Polycarp's sequence has and his favorite number.

The second line contains n integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109) — elements of the sequence.

Output

Output a single number — the number of ways to choose a subsequence of length three, such that it forms a geometric progression with a common ratio k.

Examples

Input

5 2
1 1 2 2 4


Output

4

Input

3 1
1 1 1


Output

1

Input

10 3
1 2 6 2 3 6 9 18 3 9


Output

6

Note

In the first sample test the answer is four, as any of the two 1s can be chosen as the first element, the second element can be any of the 2s, and the third element of the subsequence must be equal to 4.
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.OutputStreamWriter;
import java.io.ObjectInputStream.GetField;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashMap;
import java.util.HashSet;
import java.util.InputMismatchException;
import java.util.LinkedList;
import java.util.Queue;
import java.util.Stack;
import java.util.TreeMap;
import java.util.TreeSet;

public class Q2 {
	static long MOD = 1000000007;
	static boolean b[];
	static ArrayList<Integer>[] amp;
	static long sum[];
	static long ans = 0;
	static int p = 0;
	static FasterScanner sc = new FasterScanner();
	static Queue<String> q = new LinkedList<>();
	static ArrayList<String>[] arr;
	static ArrayList<Integer> parent = new ArrayList<>();
	public static void main(String[] args) throws IOException {
		BufferedWriter log = new BufferedWriter(new OutputStreamWriter(System.out));
		int n = sc.nextInt(), k = sc.nextInt();
		HashMap<Long,Pair> hm = new HashMap<>();
		long arr[] = sc.nextLongArray(n);
		long ans = 0;
		if(k==1){
			HashMap<Long,Long> hm2 = new HashMap<>();
			for(int i = 0;i<n;i++){
				if(hm2.containsKey(arr[i])){
					hm2.put(arr[i], hm2.get(arr[i])+1);
				}
				else{
					hm2.put(arr[i],1L);
				}
			}
			for(long e:hm2.values()){
				ans+=((1L*e*(e-1)*(e-2))/6);
			}
			System.out.println(ans);
		}
		else{
		for(int i = 0;i<n;i++){
			if(hm.containsKey(arr[i])){
				long x = hm.get(arr[i]).u+1,y = hm.get(arr[i]).v;
				if(arr[i]%k==0){
					if(hm.containsKey(arr[i]/k)){
						y = hm.get(arr[i]).v+hm.get(arr[i]/k).u;
						ans+=hm.get(arr[i]/k).v;
					}
				}
				hm.put(arr[i], new Pair(x,y));
			}
			else{
				long x = 1, y = 0;
				if(arr[i]%k==0){
					if(hm.containsKey(arr[i]/k)){
						y = hm.get(arr[i]/k).u;
						ans+=hm.get(arr[i]/k).v;
					}
				}
				hm.put(arr[i], new Pair(x,y));
			}
			//System.out.println(hm+"*"+ans+" "+i);
		}
		//System.out.println(hm);
		System.out.println(ans);
		}
		log.close();
	}
	static class Pair implements Comparable<Pair> {
		long u;
		long v;
		public Pair(){
			
		}
		public Pair(long u, long v) {
			this.u = u;
			this.v = v;
		}
		
		public int hashCode() {
			int hu = (int) (u ^ (u >>> 32));
			int hv = (int) (v ^ (v >>> 32));
			return 31*hu + hv;
		}

		public boolean equals(Object o) {
			Pair other = (Pair) o;
			return (u == other.u && v == other.v);
		}

		public int compareTo(Pair other) {
			return Long.compare(u, other.u) != 0 ? (Long.compare(u, other.u)) : (Long.compare(v, other.v));
		}

		public String toString() {
			return "[u=" + u + ", v=" + v + "]";
		}
	}
	static class SegmentTree{
		int st[][];
		SegmentTree(char arr[], int n){
			int size = 4*n+1;
			st = new int[size][3];
			build(arr,0,n-1,0);
		}
		int[] build(char arr[], int ss, int se, int si){
			if(ss==se){
				st[si][0] = 0;
				if(arr[ss]=='(')
				st[si][1] = 1;
				else st[si][2] = 1;
				return st[si];
			}
			int mid = (ss+se)/2;
			int amp[] = build(arr,ss,mid,si*2+1);
			int bmp[] = build(arr,mid+1,se,si*2+2);
			int t = Math.min(amp[1], bmp[2]);
			st[si][0] = amp[0]+bmp[0]+2*t;
			st[si][1] = amp[1]+bmp[1]-t;
			st[si][2] = amp[2]+bmp[2]-t;
			return st[si];
		}
		int[] getXor(int qs, int qe, int ss, int se, int si){
			if(qe<ss || qs>se){
				return null;
			}
			if(qs<=ss && qe>=se) return st[si];
			int mid = (ss+se)/2;
			int amp[]= getXor(qs,qe,ss,mid,2*si+1);
			int bmp[] = getXor(qs,qe, mid+1, se, 2*si+2);
			if(amp==null) return bmp;
			else if(bmp == null) return amp;
			int[] a=new int[3];
            int t=Math.min(amp[1],bmp[2]);
            a[0]=amp[0]+bmp[0]+2*t;
            a[1]=amp[1]+bmp[1]-t;
            a[2]=amp[2]+bmp[2]-t;
            return a;
		}
		void print(){
			for(int i = 0;i<st.length;i++){
				for(int j = 0;j<3;j++)
				System.out.print(st[i][j]+" ");
				System.out.println("----------------------");
			}
		}
	}
	static int convert(int x){
		int cnt = 0;
		String str = Integer.toBinaryString(x);
		//System.out.println(str);
		for(int i = 0;i<str.length();i++){
			if(str.charAt(i)=='1'){
				cnt++;
			}
		}
		int ans = (int) Math.pow(3, 6-cnt);
		return ans;
	}
	static class Node2{
		Node2 left = null;
		Node2 right = null;
		Node2 parent = null;
		int data;
	}
	static class BinarySearchTree{
		Node2 root = null;
		int height = 0;
		int max = 0;
		int cnt = 1;
		ArrayList<Integer> parent = new ArrayList<>();
		HashMap<Integer, Integer> hm = new HashMap<>();
		public void insert(int x){
			Node2 n = new Node2();
			n.data = x;
			if(root==null){
				root = n;
			}
			else{
				Node2 temp = root,temp2 = null;
				while(temp!=null){
					temp2 = temp;
					if(x>temp.data) temp = temp.right;
					else temp = temp.left;
				}
				if(x>temp2.data) temp2.right = n;
				else temp2.left = n;
				n.parent = temp2;
				parent.add(temp2.data);
			}
		}
		public Node2 getSomething(int x, int y, Node2 n){
			if(n.data==x || n.data==y) return n;
			else if(n.data>x && n.data<y) return n;
			else if(n.data<x && n.data<y) return getSomething(x,y,n.right);
			else return getSomething(x,y,n.left);
		}
		public Node2 search(int x,Node2 n){
			if(x==n.data){
				max = Math.max(max, n.data);
				return n;
			}
			if(x>n.data){
				max = Math.max(max, n.data);
				return search(x,n.right);
			}
			else{
				max = Math.max(max, n.data);
				return search(x,n.left);
			}
		}
		public int getHeight(Node2 n){
			if(n==null) return 0;
			height = 1+ Math.max(getHeight(n.left), getHeight(n.right));
			return height;
		}
	}
	static long findDiff(long[] arr, long[] brr, int m){
		int i = 0, j = 0;
		long fa = 1000000000000L;
		while(i<m && j<m){
			long x = arr[i]-brr[j];
			if(x>=0){
				if(x<fa) fa = x;
				j++;
			}
			else{
				if((-x)<fa) fa = -x;
				i++;
			}
		}
		return fa;
	}
	public static long max(long x, long y, long z){
		if(x>=y && x>=z) return x;
		if(y>=x && y>=z) return y;
		return z;
	}
	public static void bfs(){
		if(!q.isEmpty()){
			String x = q.poll();
			int y = Integer.parseInt(q.poll());
			arr[p].add(x);
			//System.out.println(x+" "+y+" "+p);
			for(int i= 0;i<y;i++){
				p++;
				bfs();
				p--;
			}
		}
	}
	public static void buildGraph(int n){
		for(int i =0;i<n;i++){
			int x = sc.nextInt(), y = sc.nextInt();
			amp[--x].add(--y);
			amp[y].add(x);
		}
	}
	public static void dfs(int x){
		ans++;
		b[x] = true;
		for(int i =0 ;i<amp[x].size();i++){
			if(!b[amp[x].get(i)]){
				dfs(amp[x].get(i));
			}
		}
	}
	public static void seive(long n){
		b = new boolean[(int) (n+1)];
		Arrays.fill(b, true);
		for(int i = 2;i<=n;i++){
			if(b[i]){
				for(int p = 2*i;p<=n;p++){
					b[p] = false;
				}
			}
		}
	}
	static long modInverse(long a, long mOD2){
	            return  power(a, mOD2-2, mOD2);
	}
	static long power(long x, long y, long m)
	{
	    if (y == 0)
	        return 1;
	    long p = power(x, y/2, m) % m;
	    p = (p * p) % m;
	 
	    return (y%2 == 0)? p : (x * p) % m;
	}
	static long power2(long x,BigInteger y,long m){
		long ans = 1;
		BigInteger two = new BigInteger("2");
		while(y.compareTo(BigInteger.ZERO)>0){
			if(y.getLowestSetBit()==y.bitCount()){
				x = (x*x)%MOD;
				y = y.divide(two);
			}
			else{
				ans = (ans*x)%MOD;
				y = y.subtract(BigInteger.ONE);
			}
		}
		return ans;
	}
	static BigInteger power2(BigInteger x, BigInteger y, BigInteger m){
		BigInteger ans = new BigInteger("1");
		BigInteger one  = new BigInteger("1");
		BigInteger two  = new BigInteger("2");
		BigInteger zero  = new BigInteger("0");
		while(y.compareTo(zero)>0){
			//System.out.println(y);
			if(y.mod(two).equals(one)){
				ans = ans.multiply(x).mod(m);
				y = y.subtract(one);
			}
			else{
				x = x.multiply(x).mod(m);
				y = y.divide(two);
			}
		}
		return ans;
	}
	static BigInteger power(BigInteger x, BigInteger y, BigInteger m)
	{
	    if (y.equals(0))
	        return (new BigInteger("1"));
	    BigInteger p = power(x, y.divide(new BigInteger("2")), m).mod(m);
	    p = (p.multiply(p)).mod(m);
	 
	    return (y.mod(new BigInteger("2")).equals(0))? p : (p.multiply(x)).mod(m);
	}
	static long d,x,y;
	public static void extendedEuclidian(long a, long b){
		if(b == 0) {
	        d = a;
	        x = 1;
	        y = 0;
	    }
	    else {
	        extendedEuclidian(b, a%b);
	        int temp = (int) x;
	        x = y;
	        y = temp - (a/b)*y;
	    }
	}
	
	public static long gcd(long n, long m){
		if(m!=0) return gcd(m,n%m);
		else return n;
	}
	
	
	public static class FasterScanner {
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
 
		public int read() {
			if (numChars == -1)
				throw new InputMismatchException();
			if (curChar >= numChars) {
				curChar = 0;
				try {
					numChars = System.in.read(buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (numChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}
 
		public String nextLine() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isEndOfLine(c));
			return res.toString();
		}
 
		public String nextString() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}
 
		public long nextLong() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}
 
		public int nextInt() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}
	        
	    public int[] nextIntArray(int n) {
	        return nextIntArray(n, 0);
	    }
	    
	    public int[] nextIntArray(int n, int off) {
	    	int[] arr = new int[n + off];
	    	for (int i = 0; i < n; i++) {
	    		arr[i + off] = nextInt();
	    	}
	    	return arr;
	    }
	    
	    public long[] nextLongArray(int n) {
	    	return nextLongArray(n, 0);
	    }
        
		public long[] nextLongArray(int n, int off) {
		    long[] arr = new long[n + off];
		    for (int i = 0; i < n; i++) {
		        arr[i + off] = nextLong();
		    }
		    return arr;
		}
 
	    private boolean isSpaceChar(int c) {
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}
 
		private boolean isEndOfLine(int c) {
			return c == '\n' || c == '\r' || c == -1;
		}
	}
}