package refactor;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.StringTokenizer;
public class Boj1365 {
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int N = Integer.parseInt(br.readLine());
int[] arr = new int[N];
StringTokenizer st = new StringTokenizer(br.readLine());
for(int i = 0; i < N; i++){
arr[i] = Integer.parseInt(st.nextToken());
}
ArrayList<Integer> resultList = new ArrayList<>();
resultList.add(arr[0]);
for(int i = 1; i < N; i++){
int num = arr[i];
if(num > resultList.get(resultList.size()-1)){
resultList.add(num);
}else{
int start = 0;
int end = resultList.size()-1;
while( start < end){
int half = (start+end) / 2;
if(resultList.get(half) < num){
start = half + 1;
}else{
end = half;
}
}
resultList.set(end, num);
}
}
System.out.println(N - resultList.size());
}
}