#include <iostream>
#include <vector>
#include <cstring>
using namespace std;
const int N = 1e5 + 5;
struct fenwick_tree {
int f[N];
fenwick_tree() {
memset(f, 0, sizeof(f));
}
void upd(int i, int x) {
for (; i < N; i += i & -i) {
f[i] = max(f[i], x);
}
}
int get(int i) {
int r = 0;
for (; i > 0; i -= i & -i) {
r = max(r, f[i]);
}
return r;
}
};
int n;
int a[N];
fenwick_tree ft;
int f[N];
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
vector<int> v;
copy(a + 1, a + n + 1, back_inserter(v));
sort(v.begin(), v.end());
v.erase(unique(v.begin(), v.end()), v.end());
for (int i = 1; i <= n; i++) {
a[i] = lower_bound(v.begin(), v.end(), a[i]) - v.begin() + 1;
ft.upd(a[i], 1 + ft.get(a[i]));
}
cout << n - ft.get(N - 1) << '\n';
return 0;
}