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++ (GCC 9.2.1) (judge verdict: Accepted)

#include<bits/stdc++.h>

#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define endl "\n"
#define ll long long
#define pii pair<int,int>
#define all(x) begin(x), end(x)
#define loop(i,n) for(int i=0; i<n; i++)
#define rep(i,a,b,c) for(int i=a; i<b; i+=c)
#define brep(i,a,b,c) for(int i=a; i>b; i-=c)
#define tc(t) int t; cin>>t; while(t--)
#define sz(v) int((v).size())
#define pb push_back


using namespace std;

void __print(int x) {cout << x;}
void __print(long x) {cout << x;}
void __print(long long x) {std::cout << x;}
void __print(unsigned x) {std::cout << x;}
void __print(unsigned long x) {std::cout << x;}
void __print(unsigned long long x) {std::cout << x;}
void __print(float x) {std::cout << x;}
void __print(double x) {std::cout << x;}
void __print(long double x) {std::cout << x;}
void __print(char x) {cout << '\'' << x << '\'';}
void __print(const char *x) {cout << '\"' << x << '\"';}
void __print(const string &x) {cout << '\"' << x << '\"';}
void __print(bool x) {cout << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cout << '{'; __print(x.first); cout << ','; __print(x.second); cout << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cout << '{'; for (auto &i : x) cout << (f++ ? "," : ""), __print(i); cout << "}";}
void _print() {cout << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cout << ", "; _print(v...);}
template <typename T> inline void inp(T &any) {cin >> any;} template <typename T, typename... U>inline void inp(T &a, U &...b) {cin >> a; inp(b...);}
#define rin(args...) ll args; inp(args);
#ifndef ONLINE_JUDGE
#define debug(x...) cout << "[" << #x << "] = ["; _print(x)
#define matdeb(mat,row,col) cout << #mat << "::" << endl; printmat(mat,row,col); printpartition;
#define debugv(v,n) cout << #v << ":" << endl; printv(v,0,n-1); printpartition;
#else
#define debug(x...)
#define matdeb(mat,row,col)
#define debugv(v,n)
#endif

const int maxm = 1000000000 + 7;

double startTime;
double getCurrentTime() {
	return ((double)clock() - startTime) / CLOCKS_PER_SEC;
}


//----------->CODE BEGINS --------------->

bool cmp(pii &a, pii &b)
{
	return a.second<b.second;
}

void sort(map<int,int>m)
{
	vector<pair<int,int>>A;

	for(auto & it: m)
	{
		A.pb(it);
	}

	sort(all(A),cmp);

	// for(auto &it:A)
	// {
	// 	cout<<it.first<<" "<<it.second<<endl;
	// }
}

int main()
{

#ifndef ONLINE_JUDGE
	freopen("input.txt", "r", stdin);
	freopen("output.txt", "w", stdout);
#endif

	int n,k;
	cin>>n>>k;

	vector<int>a(n);
	map<int,int>mp;

	loop(i,n)
	{
		cin>>a[i];
		mp[a[i]]++;
	}

    sort(mp);

    ll ans = 0;

	vector<int>an;

	for(auto it:mp)
	{
		an.pb(it.second);
	}
    
    sort(all(an));

    if(k>mp.size())
    {
    	cout<<0<<endl;
    	return 0;
    }
     

	for(int i=0; i<mp.size()-k; i++)
	{
		
		ans += an[i];
	}

	cout<<ans<<endl;
}