#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; (i) < int(n); ++ (i))
using namespace std;

template <typename T>
vector<T> longest_increasing_subsequence(vector<T> const & xs) {
    vector<T> l; // l[i] is the last element of the increasing subsequence whose length is i+1
    l.push_back(xs.front());
    for (auto && x : xs) {
        auto it = lower_bound(l.begin(), l.end(), x);
        if (it == l.end()) {
            l.push_back(x);
        } else {
            *it = x;
        }
    }
    return l;
}

int main() {
    // input
    int n; cin >> n;
    vector<int> a(n);
    REP (i, n) cin >> a[i];

    // solve
    REP (i, n) a[i] -= 1;
    int answer = n - longest_increasing_subsequence(a).size();

    // output
    cout << answer << endl;
    return 0;
}