#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <climits>
#include <cfloat>
#include <ctime>
#include <cassert>
#include <map>
#include <utility>
#include <set>
#include <iostream>
#include <memory>
#include <string>
#include <vector>
#include <algorithm>
#include <functional>
#include <sstream>
#include <complex>
#include <stack>
#include <queue>
#include <numeric>
#include <list>
#include <iomanip>
   
using namespace std;
   
 
#ifdef __GNUC__
template <class T> int popcount(T n);
template <> int popcount(unsigned int n) { return __builtin_popcount(n); }
template <> int popcount(int n) { return __builtin_popcount(n); }
template <> int popcount(unsigned long long n) { return __builtin_popcountll(n); }
template <> int popcount(long long n) { return __builtin_popcountll(n); }
#else
#define __typeof__ decltype
template <class T> int popcount(T n) { return n ? 1 + popcount(n & (n - 1)) : 0; }
#endif
 
#define rep(i, n) for (int i = 0; i < (int)n; ++i)
#define foreach(it, c) for (__typeof__((c).begin()) it=(c).begin(); it != (c).end(); ++it)
#define rforeach(it, c) for (__typeof__((c).rbegin()) it=(c).rbegin(); it != (c).rend(); ++it)
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define CL(arr, val) memset(arr, val, sizeof(arr))
#define COPY(dest, src) memcpy(dest, src, sizeof(dest))
   
template <class T> void max_swap(T& a, const T& b) { a = max(a, b); }
template <class T> void min_swap(T& a, const T& b) { a = min(a, b); }

template <class T> void sort(vector<T>& c) { sort(c.begin(), c.end()); }
template <class T> void unique(vector<T>& c) { sort(c.begin(), c.end()); c.erase(unique(c.begin(), c.end()), c.end()); }
 
typedef long long ll;
typedef pair<int, int> pint;
   
template <class T, class U> ostream& operator<<(ostream& os, pair<T, U>& p) { os << "( " << p.first << ", " << p.second << " )"; return os;  }
  
template <class T> string to_s(const T& a) { ostringstream os; os << a; return os.str(); }
template <class T> T to_T(const string& s) { istringstream is(s); T res; is >> res; return res; }
  
bool valid(int x, int y, int w, int h) { return 0 <= x && x < w && 0 <= y && y < h; }
   
template <class T> void print(T a, int n, const string& deli = " ", int br = 1) { for (int i = 0; i < n; ++i) { cout << a[i]; if (i + 1 != n) cout << deli; } while (br--) cout << endl; }
template <class T> void print(const T& c, const string& deli = " ", int br = 1) { foreach (it, c) { cout << *it; if (++it != c.end()) cout << deli;--it; } while (br--) cout << endl; }
template <class T> void print2d(T a, int w, int h, int width = -1, int br = 1) { for (int i = 0; i < h; ++i) { for (int j = 0; j < w; ++j) {    if (width != -1) cout.width(width); cout << a[i][j] << ' '; } cout << endl; } while (br--) cout << endl; }
   
template <class T> void input(T& a, int n) { for (int i = 0; i < n; ++i) cin >> a[i]; }
template <class T, class U> void input(T& a, U& b, int n) { for (int i = 0; i < n; ++i) cin >> a[i] >> b[i]; }
  
const int dx[] = { 0, 1, 0, -1 };
const int dy[] = { 1, 0, -1, 0 };
  
const double PI = acos(-1.0);
const int mod = 1000000007;




ll node[262144 + 100];
int size;
void init(int n)
{
    size = 1;
    while (size < n)
        size *= 2;
}
void update(int k, ll a)
{
    k += size - 1;
    node[k] = a;
    while (k > 0)
    {
        k = (k - 1) / 2;
        node[k] = max(node[2 * k + 1], node[2 * k + 2]);
    }
}
ll query(int a, int b, int k = 0, int l = 0, int r = ::size)
{
    if (r <= a || l >= b)
        return 0;
    else if (a <= l && r <= b)
        return node[k];

    ll left = query(a, b, 2 * k + 1, l, (l + r) / 2);
    ll right = query(a, b, 2 * k + 2, (l + r) / 2, r);
    return max(left, right);
}

int main()
{
    int n;
    static int a[114514];
    scanf("%d", &n);
    for (int i = 0; i < n; ++i)
        scanf("%d", a + i);

    init(n + 1);
    for (int i = 0; i < n; ++i)
    {
        ll max_seq = query(0, a[i]);
        update(a[i], max_seq + a[i]);
    }
    ll max_seq = query(1, n + 1);
    ll res = (ll)n * (n + 1) / 2 - max_seq;
    printf("%lld\n", res);
}

Measured memory_bytes: 3164