During the programming classes Vasya was assigned a difficult problem. However, he doesn't know how to code and was unable to find the solution in the Internet, so he asks you to help.

You are given a sequence a, consisting of n distinct integers, that is used to construct the binary search tree. Below is the formal description of the construction process.

  1. First element a_1 becomes the root of the tree. 
  2. Elements a_2, a_3, …, a_n are added one by one. To add element a_i one needs to traverse the tree starting from the root and using the following rules: 
    1. The pointer to the current node is set to the root. 
    2. If a_i is greater than the value in the current node, then its right child becomes the current node. Otherwise, the left child of the current node becomes the new current node. 
    3. If at some point there is no required child, the new node is created, it is assigned value a_i and becomes the corresponding child of the current node. 

Input

The first line of the input contains a single integer n (2 ≤ n ≤ 100 000) — the length of the sequence a.

The second line contains n distinct integers a_i (1 ≤ a_i ≤ 10^9) — the sequence a itself.

Output

Output n - 1 integers. For all i > 1 print the value written in the node that is the parent of the node with value a_i in it.

Examples

Input

3
1 2 3


Output

1 2


Input

5
4 2 3 1 6


Output

4 2 2 4
import java.io.*;
import java.util.*;

public final class Main {
    static char[] chars = {'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z'};
    static char[] chars1 = {'#', '*', '&'};
    static char[] chars2 = {'1', '2', '3', '4', '5', '6', '7', '8', '9', '0'};

    static boolean oneColor = true;

    // x1<0
    // x1+k*2>0;
    // k*2>-x1;
    // k=-x1/2
    public void solve() {
        int n = in.nextInt();
        TreeSet<Integer> set = new TreeSet<>();
        HashMap<Integer, Integer> lefts = new HashMap<>();
        set.add(in.nextInt());
        for (int i = 1; i < n; i++) {
            int tmp = in.nextInt();
            Integer p = set.higher(tmp);
            if (p == null || lefts.containsKey(p)) {
                p = set.lower(tmp);
            } else {
                lefts.put(p, tmp);
            }
            out.print(p + " ");
            set.add(tmp);
        }
    }

    static class Library {
        static boolean isPrime(int a) {
            if (a == 1) {
                return false;
            }
            for (int i = 2; i * i <= a; i++) {
                if (a % i == 0)
                    return false;
            }
            return true;
        }

        static long bpow(long x, long n, long m) {
            long count = 1;
            if (n == 0) {
                return 1;
            }
            while (n > 0) {
                if ((n & 1) == 1) {
                    count *= x;
                    count %= m;
                }
                x *= x;
                x %= m;
                n >>= 1;
            }
            return count % m;
        }

        static long GCD(long a, long b) {
            if (b == 0) return a;
            return GCD(b, a % b);
        }

        static long lcm(long a, long b) {
            return (a * b) / Library.GCD(a, b);
        }
    }

    class Pair<X, Y> implements Comparable<Pair<X, Y>> {

        public X first;
        public Y second;

        public Pair(X first, Y second) {
            this.first = first;
            this.second = second;
        }

        @Override
        public int hashCode() {
            int hash = 7;
            hash = 11 * hash + Objects.hashCode(this.first);
            hash = 11 * hash + Objects.hashCode(this.second);
            return hash;
        }

        @Override
        public boolean equals(Object obj) {
            if (this == obj) {
                return true;
            }
            if (obj == null) {
                return false;
            }
            if (getClass() != obj.getClass()) {
                return false;
            }
            final Pair<?, ?> other = (Pair<?, ?>) obj;
            if (!Objects.equals(this.first, other.first)) {
                return false;
            }
            if (!Objects.equals(this.second, other.second)) {
                return false;
            }
            return true;
        }

        @Override
        public int compareTo(Pair<X, Y> p) {
            return ((Comparable<X>) first).compareTo(p.first);
        }

        @Override
        public String toString() {
            return first + " " + second;
        }
    }

    class Node<E> {
        E element;
        Node<E> left;
        Node<E> right;
        Node<E> prev;

        Node(E element, Node left, Node right, Node prev) {
            this.element = element;
            this.left = left;
            this.right = right;
            this.prev = prev;
        }
    }

    //    -------------I/O-------------    \\
    private FScanner in;

    private PrintWriter out;

    public static void main(String[] args) {
        new Main().runIO();
    }


    void run() {
        try {
            in = new FScanner(new File("input.txt"));
            out = new PrintWriter(new BufferedWriter(new FileWriter(new File("output.txt"))));
            solve();
            out.close();
            in.close();
        } catch (IOException ex) {
            ex.printStackTrace();
        }
    }

    void runIO() {
        in = new FScanner();
        out = new PrintWriter(new BufferedOutputStream(System.out));
        solve();
        out.close();
        in.close();
    }

    class FScanner {

        private BufferedReader br;
        private StringTokenizer st;

        public FScanner() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        public FScanner(File f) {
            try {
                br = new BufferedReader(new FileReader(f));
            } catch (FileNotFoundException ex) {
                ex.printStackTrace();
            }
        }

        void useString(String s) {
            if (s != null) {
                st = new StringTokenizer(s);
            }
        }

        void updateST() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
        }

        String next() {
            updateST();
            return st.nextToken();
        }

        Long[] nextLongArray() {
            updateST();
            LinkedList<Long> ll = new LinkedList<>();
            while (st.hasMoreElements()) {
                ll.add(Long.parseLong(st.nextToken()));
            }
            Long[] arr = new Long[1];
            return ll.toArray(arr);
        }

        Integer[] nextIntArray() {
            updateST();
            LinkedList<Integer> ll = new LinkedList<>();
            while (st.hasMoreElements()) {
                ll.add(Integer.parseInt(st.nextToken()));
            }
            Integer[] arr = new Integer[1];
            return ll.toArray(arr);
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            updateST();
            StringBuilder sb = new StringBuilder(st.nextToken());
            while (st.hasMoreElements()) {
                sb.append(st.nextToken());
            }
            return sb.toString();
        }

        void close() {
            try {
                br.close();
            } catch (IOException ex) {
                ex.printStackTrace();
            }
        }

    }
}