#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000000

int op(int a,int b){
	return max(a,b);
}

int e(){
	return 0;
}

int main(){
	
	int N;
	cin>>N;
	
	vector<int> A(N);
	rep(i,N){
		scanf("%d",&A[i]);
	}
	
	{
		auto B = A;
		sort(B.begin(),B.end());
		B.erase(unique(B.begin(),B.end()),B.end());
		
		rep(i,N){
			A[i] = distance(B.begin(),lower_bound(B.begin(),B.end(),A[i]));
		}
	}
	
	segtree<int,op,e> seg(N+5);
	
	rep(i,N){
		seg.set(A[i],max(seg.get(A[i]),seg.prod(0,A[i]+1)+1));
	}
	
	cout<<N-seg.all_prod()<<endl;
	
    return 0;
}