Problem: You are given the array a consisting of n elements and the integer k ≤ n.

You want to obtain at least k equal elements in the array a. In one move, you can make one of the following two operations:

  * Take one of the minimum elements of the array and increase its value by one (more formally, if the minimum value of a is mn then you choose such index i that a_i = mn and set a_i := a_i + 1); 
  * take one of the maximum elements of the array and decrease its value by one (more formally, if the maximum value of a is mx then you choose such index i that a_i = mx and set a_i := a_i - 1). 



Your task is to calculate the minimum number of moves required to obtain at least k equal elements in the array.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a and the required number of equal elements.

The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the i-th element of a.

Output

Print one integer — the minimum number of moves required to obtain at least k equal elements in the array.

Examples

Input


6 5
1 2 2 4 2 3


Output


3


Input


7 5
3 3 2 1 1 1 3


Output


4

Solution (in JAVA):

Solution:
//   package com.company;
import java.text.DecimalFormat;
import java.util.*;
import java.io.*;
import java.lang.*;

public class Main{
    /*
     ** || ॐ श्री गणेशाय नमः ||
     ** @𝙖𝙪𝙩𝙝𝙤𝙧 𝙅𝙞𝙜𝙖𝙧_𝙉𝙖𝙞𝙣𝙪𝙟𝙞
     ** 𝙎𝙑𝙉𝙄𝙏-𝙎𝙐𝙍𝘼𝙏
     */
    public static void main(String args[]){
        PrintWriter out=new PrintWriter(System.out);
        InputReader in=new InputReader(System.in);
        TASK solver = new TASK();
        int t=1;
//         t = in.nextInt();
        for(int i=0;i<t;i++)
        {
            solver.solve(in,out,i);
        }
        out.close();
    }
    static class TASK {
        static int mod = 1000000007;
        void solve(InputReader in, PrintWriter out, int testNumber) {
            int n = in.nextInt();
            int k = in.nextInt();
            int a[] = new int[n];
            int dp1[] = new int[200005];
            int dp2[] = new int[200005];
            for(int i=0;i<n;i++) {
                a[i] = in.nextInt();
//                dp1[a[i]]++;
            }
            Arrays.sort(a);
            int min=Integer.MAX_VALUE;
            for(int i=0;i<n;i++)
            {
                int x = a[i],c=0;
                while (true)
                {
                    dp1[x]++;
                    if(dp1[x]<=k)
                    dp2[x]+=c;
                    if(dp1[x]==k)
                        min=Math.min(dp2[x],min);
                    x/=2;
                    c++;
                    if(x==0)
                    {
                        dp1[x]++;
                        if(dp1[x]<=k)
                            dp2[x]+=c;
                        if(dp1[x]==k)
                            min=Math.min(dp2[x],min);
                        break;
                    }
                }
            }
            System.out.println(min);






        }
    }


    static class pair{
        int x;
        int y;
        pair(int x,int y)
        {
            this.x=x;
            this.y=y;
        }

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

        public static long lcm(long a, long b) {
            return (a * b) / gcd(a, b);
        }

        public static long factorial(int n) {
            long fact = 1;
            for (int i = 1; i <= n; i++) {
                fact *= i;
            }
            return fact;
        }
    }



    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1)
                throw new InputMismatchException();

            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }

                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public String nextLine() {
            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }

        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 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 double nextDouble() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, nextInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') {
                c = read();
                double m = 1;
                while (!isSpaceChar(c)) {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }

        public String readString() {
            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 boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public String next() {
            return readString();
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
}