One common way of digitalizing sound is to record sound intensity at particular time moments. For each time moment intensity is recorded as a non-negative integer. Thus we can represent a sound file as an array of n non-negative integers.

If there are exactly K distinct values in the array, then we need k = ⌈ log_{2} K ⌉ bits to store each value. It then takes nk bits to store the whole file.

To reduce the memory consumption we need to apply some compression. One common way is to reduce the number of possible intensity values. We choose two integers l ≤ r, and after that all intensity values are changed in the following way: if the intensity value is within the range [l;r], we don't change it. If it is less than l, we change it to l; if it is greater than r, we change it to r. You can see that we lose some low and some high intensities.

Your task is to apply this compression in such a way that the file fits onto a disk of size I bytes, and the number of changed elements in the array is minimal possible.

We remind you that 1 byte contains 8 bits.

k = ⌈ log_{2} K ⌉ is the smallest integer such that K ≤ 2^{k}. In particular, if K = 1, then k = 0.

Input

The first line contains two integers n and I (1 ≤ n ≤ 4 ⋅ 10^{5}, 1 ≤ I ≤ 10^{8}) — the length of the array and the size of the disk in bytes, respectively.

The next line contains n integers a_{i} (0 ≤ a_{i} ≤ 10^{9}) — the array denoting the sound file.

Output

Print a single integer — the minimal possible number of changed elements.

Examples

Input


6 1
2 1 2 3 4 3


Output


2


Input


6 2
2 1 2 3 4 3


Output


0


Input


6 1
1 1 2 2 3 3


Output


2

Note

In the first example we can choose l=2, r=3. The array becomes 2 2 2 3 3 3, the number of distinct elements is K=2, and the sound file fits onto the disk. Only two values are changed.

In the second example the disk is larger, so the initial file fits it and no changes are required.

In the third example we have to change both 1s or both 3s.
import java.io.*;
import java.math.BigInteger;
import java.util.*;

public class tr0 {
	static PrintWriter out;
	static StringBuilder sb;
	static final double EPS = 1e-9;
	static long mod = 998244353;
	static int inf = (int) 1e9 + 2;
	static long[] fac;
	static int[] si;
	static ArrayList<Integer> primes;
	static ArrayList<Integer>[] ad;
	static ArrayList<pair>[] d;
	static edge[] ed;
	static boolean f;
	static int n, m;
	static int[][] a;
	static Queue<Integer>[] can;
	static String[] ss;

	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		out = new PrintWriter(System.out);
        int n=sc.nextInt();
        long I=sc.nextInt();
        I=I*8;
        TreeMap<Integer,Integer> t=new TreeMap<>();
        int []a=new int [n];
        for(int i=0;i<n;i++) {
        	a[i]=sc.nextInt();
          t.put(a[i], t.getOrDefault(a[i], 0)+1);
        }
        long ans=0;
        int k=t.size();
        int []aa=new int [t.size()];
        int id=0;
        for(int j:t.keySet()) {
        	aa[id++]=t.get(j);
        }
        int vk=0;
        while(true) {
        	if(Math.ceil(Math.log(k)/Math.log(2))*1d*n<=I) {
        		vk=k;
        		break;
        	}
        	if(t.get(t.firstKey())<t.get(t.lastKey())) {
        		ans+=t.get(t.firstKey());
        		t.remove(t.firstKey());
        		k--;
        	}
        	else {
        		ans+=t.get(t.lastKey());
        		t.remove(t.lastKey());
        		k--;
        	}
        	
        }
        ans=Integer.MAX_VALUE;
        int f=0;
        for(int i=0;i<vk;i++) {
        	f+=aa[i];
        }
        int ix=vk;
        int l=0;
    	ans=Math.min(n-f, ans);
      //  System.out.println(Arrays.toString(aa)+" "+vk);
        while(ix<aa.length) {
        	ans=Math.min(n-f, ans);
        	f+=aa[ix];
        	f-=aa[l];
        	l++;
        	ix++;
        }
      //  if(ans==Integer.MAX_VALUE)
        out.print(ans);
		out.close();
	}
    
	static int getref(int x) {
		if(x==0)
			return 5;
		if(x==1)
			return 3;
		if(x==3)
			return 1;
		if(x==4)
			return 2;
		if(x==2)
			return 4;
		if(x==5)
			return 0;
		return 5;
	}
	static boolean ref(int h, int g) {
		if (h == 0 && g == 5)
			return true;
		if (h == 1 && g == 3)
			return true;
		if (h == 2 && g == 4)
			return true;
		return false;
	}

	static Queue<Integer> k, k1;
	static boolean hg = false;

	static void ifCan(int i) {
		if (i == 6) {
			hg = true;
			for (int j : k)
				k1.add(j);
			return;
		} else if (k.contains(i))
			ifCan(i + 1);
		else {
			if (!hg) {
				for (int p : can[i]) {
					if (!k.contains(p)) {
						k.add(i);
						k.add(p);
						ifCan(i + 1);
						k.remove(i);
						k.remove(p);
					}
				}
			}
		}
	}

	static class qu implements Comparable<qu> {
		int a;
		int b;

		qu(int a, int b) {
			this.a = a;
			this.b = b;
		}

		public String toString() {
			return a + " " + b;
		}

		@Override
		public int compareTo(qu o) {
			return b - o.b;
		}
	}


	static class pair {
		int to;
		int number;

		pair(int t, int n) {
			number = n;
			to = t;
		}

		public String toString() {
			return to + " " + number;
		}
	}

	static void con() {
		for (int i = 0; i < n; i++)
			d[i] = new ArrayList();
		for (int i = 0; i < m; i++) {
			if (in[i]) {
				edge w = ed[i];
				d[w.from].add(new pair(w.to, w.number));
				d[w.to].add(new pair(w.from, w.number));
			}
		}
	}

	static boolean[] in;

	/*
	 * static void mst() { Arrays.sort(ed); UnionFind uf=new UnionFind(n); for(int
	 * i=0;i<m;i++) { edge w=ed[i]; if(!uf.union(w.from, w.to)) continue;
	 * in[i]=true; } }
	 */
	static class edge implements Comparable<edge> {
		int from;
		int to;
		int number;

		edge(int f, int t, int n) {
			from = f;
			to = t;
			number = n;
		}

		public String toString() {
			return from + " " + to + " " + number;
		}

		public int compareTo(edge f) {
			return number - f.number;
		}
	}

	static class seg implements Comparable<seg> {
		int a;
		int b;

		seg(int s, int e) {
			a = s;
			b = e;
		}

		public String toString() {
			return a + " " + b;
		}

		public int compareTo(seg o) {
			// if(a==o.a)
			return o.b - b;
			// return
		}
	}

	static public class SegmentTree { // 1-based DS, OOP

		int N; // the number of elements in the array as a power of 2 (i.e. after padding)
		int[] array, sTree, lazy, candies;

		SegmentTree(int[] in) {
			array = in.clone();
			N = in.length - 1;
			sTree = new int[N << 1]; // no. of nodes = 2*N - 1, we add one to cross out index zero
			lazy = new int[N << 1];
			candies = new int[N << 1];
			build(1, 1, N);
			build2(1, 1, N);
		}

		public String toString() {
			return Arrays.toString(sTree) + "\n" + Arrays.toString(candies);
		}

		void build(int node, int b, int e) // O(n)
		{
			if (b == e)
				sTree[node] = array[b];
			else {
				int mid = b + e >> 1;
				build(node << 1, b, mid);
				build(node << 1 | 1, mid + 1, e);
				sTree[node] = (sTree[node << 1] + sTree[node << 1 | 1]) % 10;
				if (sTree[node << 1] + sTree[node << 1 | 1] >= 10)
					candies[node]++;
			}
		}

		void build2(int node, int b, int e) // O(n)
		{
			if (b == e)
				b = e;
			else {
				int mid = b + e >> 1;
				build(node << 1, b, mid);
				build(node << 1 | 1, mid + 1, e);
				candies[node] = (candies[node << 1] + candies[node << 1 | 1]);
			}
		}

		void update_point(int index, int val) // O(log n)
		{
			index += N - 1;
			sTree[index] += val;
			while (index > 1) {
				index >>= 1;
				sTree[index] = sTree[index << 1] + sTree[index << 1 | 1];
			}
		}

		void update_range(int i, int j, int val) // O(log n)
		{
			update_range(1, 1, N, i, j, val);
		}

		void update_range(int node, int b, int e, int i, int j, int val) {
			if (i > e || j < b)
				return;
			if (b >= i && e <= j) {
				sTree[node] += (e - b + 1) * val;
				lazy[node] += val;
			} else {
				int mid = b + e >> 1;
				propagate(node, b, mid, e);
				update_range(node << 1, b, mid, i, j, val);
				update_range(node << 1 | 1, mid + 1, e, i, j, val);
				sTree[node] = sTree[node << 1] + sTree[node << 1 | 1];
			}

		}

		void propagate(int node, int b, int mid, int e) {
			lazy[node << 1] += lazy[node];
			lazy[node << 1 | 1] += lazy[node];
			sTree[node << 1] += (mid - b + 1) * lazy[node];
			sTree[node << 1 | 1] += (e - mid) * lazy[node];
			lazy[node] = 0;
		}

		// static int c=0;
		int query(int i, int j) {
			// c=0;
			return query(1, 1, N, i, j);
		}

		int query(int node, int b, int e, int i, int j) // O(log n)
		{
			if (i > e || j < b)
				return 0;
			if (b >= i && e <= j)
				return candies[node];
			int mid = b + e >> 1;
			// propagate(node, b, mid, e);
			int q1 = query(node << 1, b, mid, i, j);
			int q2 = query(node << 1 | 1, mid + 1, e, i, j);
			return q1 + q2;
		}
	}

	static long power(int i) {
		// if(i==0)
		// return 1;
		long a = 1;
		for (int k = 0; k < i; k++)
			a *= i;
		return a;
	}

	static void seive() {
		si = new int[1000001];
		primes = new ArrayList<>();
		int N = 1000001;
		si[1] = 1;
		for (int i = 2; i < N; i++) {
			if (si[i] == 0) {
				si[i] = i;
				primes.add(i);
			}
			for (int j = 0; j < primes.size() && primes.get(j) <= si[i] && (i * primes.get(j)) < N; j++)
				si[primes.get(j) * i] = primes.get(j);

		}
	}

	static long inver(long x) {
		int a = (int) x;
		long e = (mod - 2);
		long res = 1;
		while (e > 0) {
			if ((e & 1) == 1) {
				// System.out.println(res*a);
				res = (int) ((1l * res * a) % mod);
			}
			a = (int) ((1l * a * a) % mod);
			e >>= 1;
		}
		// out.println(res+" "+x);
		return res % mod;
	}

	static long fac(int n) {
		if (n == 0)
			return fac[n] = 1;
		if (n == 1)
			return fac[n] = 1;
		long ans = 1;
		for (int i = 1; i <= n; i++)
			fac[i] = ans = (i % mod * ans % mod) % mod;
		return ans % mod;
	}

	static int gcd(int a, int b) {

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

	static class unionfind {
		int[] p;
		int[] size, time, val;
		int l;

		unionfind(int n) {
			p = new int[n * 3];
			size = new int[n * 3];
			val = new int[n * 3];
			l = n;
			for (int i = 0; i < p.length; i++) {
				p[i] = i;
			}
			Arrays.fill(size, 1);
		}

		int findSet(int v) {
			if (v == p[v])
				return v;
			int t = p[v];
			int f = findSet(p[v]);
			if (t != f)
				val[v] += val[t];
			return p[v] = f;
		}

		boolean sameSet(int a, int b) {
			a = findSet(a);
			b = findSet(b);
			if (a == b)
				return true;
			return false;
		}

		int max() {
			int max = 0;
			for (int i = 0; i < size.length; i++)
				if (size[i] > max)
					max = size[i];
			return max;
		}

		int ans(int i) {
			int o = findSet(i);
			return val[i];
		}

		boolean combine(int a, int b, int cost) {
			a = findSet(a);
			b = findSet(b);
			if (a == b)
				return true;
			++l;
			p[a] = l;
			p[b] = l;
			size[l] = size[a] + size[b];
			val[a] += cost * size[b];
			val[b] += cost * size[a];
			return false;
		}
	}

	static class Scanner {
		StringTokenizer st;
		BufferedReader br;

		public Scanner(InputStream system) {
			br = new BufferedReader(new InputStreamReader(system));
		}

		public Scanner(String file) throws Exception {
			br = new BufferedReader(new FileReader(file));
		}

		public String next() throws IOException {
			while (st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}

		public String nextLine() throws IOException {
			return br.readLine();
		}

		public int nextInt() throws IOException {
			return Integer.parseInt(next());
		}

		public double nextDouble() throws IOException {
			return Double.parseDouble(next());
		}

		public char nextChar() throws IOException {
			return next().charAt(0);
		}

		public Long nextLong() throws IOException {
			return Long.parseLong(next());
		}

		public boolean ready() throws IOException {
			return br.ready();
		}

		public void waitForInput() throws InterruptedException {
			Thread.sleep(3000);
		}
	}
}