Problem:
Score : 300 points

Problem Statement

Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.

He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.

Find the minimum number of balls that Takahashi needs to rewrite the integers on them.

Constraints

1 \leq K \leq N \leq 200000

1 \leq A_i \leq N

All input values are integers.

Input

Input is given from Standard Input in the following format:

N K
A_1 A_2 ... A_N

Output

Print the minimum number of balls that Takahashi needs to rewrite the integers on them.

Sample Input 1

5 2
1 1 2 2 5

Sample Output 1

1

For example, if we rewrite the integer on the fifth ball to 2, there are two different integers written on the balls: 1 and 2.
On the other hand, it is not possible to rewrite the integers on zero balls so that there are at most two different integers written on the balls, so we should print 1.

Sample Input 2

4 4
1 1 2 2

Sample Output 2

0

Already in the beginning, there are two different integers written on the balls, so we do not need to rewrite anything.

Sample Input 3

10 3
5 1 3 2 4 1 1 2 3 4

Sample Output 3

3

Solution in C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Atcoder
{
    class Program
    {
        static void Main(string[] args)
        {

            //var line1 = Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
            //var N = line1[0];
            //var M = line1[1];
            //var a = new long[M];
            //var b = new long[M];

            //int bridge = 0;

            //int[,] dag = new int[N,N];

            //for (int i = 0; i < M; i++)
            //{
            //    var line2 = Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
            //    a[i] = line2[0]-1;
            //    b[i] = line2[1]-1;
            //    dag[a[i], b[i]] = 1;
            //    dag[b[i], a[i]] = 1;
            //}

            //for (int i = 0; i < M; i++)
            //{
            //    bool[] visited = new bool[N];
            //    dag[a[i], b[i]] = 0;
            //    dag[b[i], a[i]] = 0;
            //    DFS(0,visited,dag);

            //    if (visited.Where(n => n == true).Count() != N)
            //    {
            //        bridge++;
            //    }

            //    dag[a[i], b[i]] = 1;
            //    dag[b[i], a[i]] = 1;
            //}
            //Console.WriteLine(bridge);
            //var line1 = Array.ConvertAll(Console.ReadLine().Split(), long.Parse);

            //var A = line1[0];
            //var B = line1[1];
            //var C = line1[2];
            //var D = line1[3];
            //var E = line1[4];
            //var F = line1[5];

            //var N = int.Parse(Console.ReadLine());
            //char[] mozi = new char[N];
            //long[] MARCH = new long[5];
            //long cnt = 0;


            //for (int i = 0; i < N; i++)
            //{
            //    mozi[i] = Console.ReadLine().ToCharArray()[0];
            //}

            //MARCH[0] = mozi.Where(n => n == 'M').Count();
            //MARCH[1] = mozi.Where(n => n == 'A').Count();
            //MARCH[2] = mozi.Where(n => n == 'R').Count();
            //MARCH[3] = mozi.Where(n => n == 'C').Count();
            //MARCH[4] = mozi.Where(n => n == 'H').Count();

            //for (int i = 0; i < 3; i++)
            //{
            //    for (int j = i + 1; j < 4; j++)
            //    {
            //        for (int k = j + 1; k < 5; k++)
            //        {
            //            cnt += MARCH[i] * MARCH[j] * MARCH[k];
            //        }
            //    }
            //}

            //Console.WriteLine(cnt);

            //var N = int.Parse(Console.ReadLine());

            //var line1 = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            //var line2 = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            //int candy = 0;
            //int MAX = 0;

            //for (int i = 0; i < N; i++)
            //{
            //    for (int k = 0; k <= i; k++)
            //    {
            //        candy += line1[k];
            //    }

            //    for (int j = N - 1; j >= i; j--)
            //    {
            //        candy += line2[j];
            //    }

            //    MAX = Math.Max(candy,MAX);
            //    candy = 0;
            //}

            //Console.WriteLine(MAX);

            //var N = int.Parse(Console.ReadLine());
            //List<int[]> list = new List<int[]>();
            //int t = 0;
            //int x = 0;
            //int y = 0;

            //for (int i = 0; i < N; i++)
            //{
            //    var txy = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            //    list.Add(txy);
            //}

            //foreach (var item in list)
            //{
            //    if (item[0] - t >= Math.Abs(item[1] + item[2] - x - y))
            //    {

            //        if (((item[0] - t) % 2 == 1 && Math.Abs(x + y - item[1] - item[2]) % 2 == 1) ||
            //            ((item[0] - t) % 2 == 0 && Math.Abs(x + y - item[1] - item[2]) % 2 == 0))
            //        {
            //            t = item[0];
            //            x = item[1];
            //            y = item[2];
            //        }
            //        else
            //        {
            //            Console.WriteLine("No");
            //            return;
            //        }
            //    }
            //    else
            //    {
            //        Console.WriteLine("No");
            //        return;
            //    }
            //}

            //Console.WriteLine("Yes");

            //var line1 = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);

            //if (line1[1] >= 10000)
            //{
            //    for (int i = 0; i <= line1[1]/10000; i++)
            //    {
            //        for (int j = 0; j <= line1[1] / 5000; j++)
            //        {
            //            if (10000 * i + 5000 * j + (line1[0] - i - j) * 1000 == line1[1] && line1[0] - i - j >= 0)
            //            {
            //                Console.WriteLine("{0} {1} {2}",i,j,line1[0] - i - j);
            //                return;
            //            }
            //        }
            //    }
            //}
            //else
            //{
            //    for (int i = 0; i < 2; i++)
            //    {
            //        for (int j = 0; j <= 9; j++)
            //        {
            //            if (5000 * i + 1000 * j == line1[1] && i + j == line1[0])
            //            {
            //                Console.WriteLine("{0} {1} {2}", 0, i, j);
            //                return;
            //            }
            //        }
            //    }
            //}

            //Console.WriteLine("{0} {1} {2}", -1, -1, -1);


            //var N = int.Parse(Console.ReadLine());
            //int[,] station = new int[N,3];
            //long sum = 0;


            //for (int i = 0; i < N - 1; i++)
            //{
            //    var line = Array.ConvertAll(Console.ReadLine().Split(),int.Parse);
            //    station[i, 0] = line[0];
            //    station[i, 1] = line[1];
            //    station[i, 2] = line[2];
            //}

            //for (int j = 0; j < N -1; j++)
            //{
            //    for (int i = j; i < N - 1; i++)
            //    {
            //        var F = station[i, 2];
            //        var S = station[i, 1];
            //        if (i == j)
            //        {
            //            sum += station[i, 0] + station[i, 1];
            //        }
            //        else
            //        {
            //            if (sum < S)
            //            {
            //                sum = S + station[i, 0];
            //            }
            //            else if (sum % F == 0)
            //            {
            //                sum += station[i, 0];
            //            }
            //            else
            //            {
            //                sum += F - (sum % F) + station[i, 0];
            //            }
            //        }
            //    }

            //    Console.WriteLine(sum);
            //    sum = 0;
            //}
            //Console.WriteLine(sum);

            //var line = Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
            //long A = line[0];
            //int i = 0;

            //while (A <= line[1])
            //{
            //    A *=2;
            //    i++;
            //}

            //Console.WriteLine(i);
            //var N = long.Parse(Console.ReadLine());
            //var line = Array.ConvertAll(Console.ReadLine().Split(),long.Parse);
            //Dictionary<long, long> dic = new Dictionary<long, long>();
            //long sum = 0;

            //for (int i = 0; i < N; i++)
            //{
            //    if (dic.ContainsKey(line[i]))
            //    {
            //        dic[line[i]]++;
            //    }
            //    else
            //    {
            //        dic.Add(line[i], 1);
            //    }
            //}

            //foreach (var item in dic)
            //{
            //    if (item.Key == item.Value)
            //    {

            //    }
            //    else if (item.Key < item.Value)
            //    {
            //        sum += item.Value - item.Key;
            //    }
            //    else
            //    {
            //        sum += item.Value;
            //    }
            //}

            //Console.WriteLine(sum);

            var line = Array.ConvertAll(Console.ReadLine().Split(),long.Parse);
            var N = line[0];
            var K = line[1];

            var line2 = Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
            long cnt = 0;
            long sum = 0;
            
            Dictionary<long, long> dic = new Dictionary<long, long>();

            for (int i = 0; i < N; i++)
            {
                if (dic.ContainsKey(line2[i]))
                {
                    dic[line2[i]]++;
                }
                else
                {
                    dic.Add(line2[i], 1);
                }
            }

            var dic2 = dic.OrderBy(n => n.Value);

            if (dic2.Count() <= K)
            {
                Console.WriteLine(0);
                return;
            }

            foreach (var item in dic2)
            {
                if (cnt == dic2.Count() - K)
                {
                    Console.WriteLine(sum);
                    return;
                }
                else
                {
                    sum += item.Value;
                    cnt++;
                }
            }

            Console.WriteLine(sum);

        }

        public static void DFS(int v,bool[] visited,int[,] dag)
        {
            visited[v] = true;

            for (int i = 0; i < visited.Length; i++)
            {
                if (dag[v, i] == 0) continue;
                if (visited[i]) continue;
                DFS(i,visited,dag);
            }

        }

        public static long LowerBound<T>(T[] arr, long start, long end, T value, IComparer<T> comparer)
        {
            long low = start;
            long high = end;
            long mid;
            while (low < high)
            {
                mid = ((high - low) >> 1) + low;
                if (comparer.Compare(arr[mid], value) < 0)
                    low = mid + 1;
                else
                    high = mid;
            }
            return low;
        }

        //引数省略のオーバーロード
        public static long LowerBound<T>(T[] arr, T value) where T : IComparable
        {
            return LowerBound(arr, 0, arr.Length, value, Comparer<T>.Default);
        }

        public static long UpperBound<T>(T[] arr, long start, long end, T value, IComparer<T> comparer)
        {
            long low = start;
            long high = end;
            long mid;
            while (low < high)
            {
                mid = ((high - low) >> 1) + low;
                if (comparer.Compare(arr[mid], value) <= 0)
                    low = mid + 1;
                else
                    high = mid;
            }
            return low;
        }

        //引数省略のオーバーロード
        public static long UpperBound<T>(T[] arr, T value)
        {
            return UpperBound(arr, 0, arr.Length, value, Comparer<T>.Default);
        }
    }

}