We have a sequence of N \times K integers: X=(X_0,X_1,\cdots,X_{N \times K-1}). Its elements are represented by another sequence of N integers: A=(A_0,A_1,\cdots,A_{N-1}). For each pair i, j (0 \leq i \leq K-1,\ 0 \leq j \leq N-1), X_{i \times N + j}=A_j holds.

Snuke has an integer sequence s, which is initially empty. For each i=0,1,2,\cdots,N \times K-1, in this order, he will perform the following operation:

* If s does not contain X_i: add X_i to the end of s.
* If s does contain X_i: repeatedly delete the element at the end of s until s no longer contains X_i. Note that, in this case, we do not add X_i to the end of s.



Find the elements of s after Snuke finished the operations.

Constraints

* 1 \leq N \leq 2 \times 10^5
* 1 \leq K \leq 10^{12}
* 1 \leq A_i \leq 2 \times 10^5
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N K
A_0 A_1 \cdots A_{N-1}


Output

Print the elements of s after Snuke finished the operations, in order from beginning to end, with spaces in between.

Examples

Input

3 2
1 2 3


Output

2 3


Input

5 10
1 2 3 2 3


Output

3


Input

6 1000000000000
1 1 2 2 3 3


Output




Input

11 97
3 1 4 1 5 9 2 6 5 3 5


Output

9 2 6
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.List;

public class Main {
    InputStream is;

    int __t__ = 1;
    int __f__ = 0;
    int __FILE_DEBUG_FLAG__ = __f__;
    String __DEBUG_FILE_NAME__ = "src/B13";

    FastScanner in;
    PrintWriter out;

    ArrayList<Integer>[] g;

    final int MAX = 200100;
    public void solve() {
        int N = in.nextInt();
        long K = in.nextLong();
        int[] a = in.nextIntArray(N);

        int[] idxs = new int[MAX];
        int[] ptr = new int[MAX];
        Arrays.fill(ptr, -1);
        int[] b = new int[N+1];
        b[N] = -1;
        for (int i = N - 1; i >= 0; i--) {
            idxs[a[i]] = i;
            if (ptr[a[i]] == -1) {
                ptr[a[i]] = i + 1;
                b[i] = i;
            } else {
                b[i] = b[ptr[a[i]]];
                ptr[a[i]] = i + 1;
            }
        }

        List<Integer> list = new ArrayList<>();
        list.add(-1);
        int cur = -1;
        while (true) {
            int nidx = (cur == -1) ? -1 : idxs[cur];
            if (b[nidx + 1] == -1) break;

            cur = a[b[nidx+1]];
            list.add(cur);
        }
        int head = list.get((int)((K - 1) % list.size()));

        int[] result = new int[N];
        boolean[] used = new boolean[MAX];
        int tail = 0;

        if (head != -1) {
            result[tail++] = head;
            used[head] = true;
        }
        for (int i = 0; i < N; i++) {
            if (used[a[i]]) {
                while (true) {
                    int next = result[--tail];
                    used[next] = false;
                    if (next == a[i]) break;
                }
            } else {
                result[tail++] = a[i];
                used[a[i]] = true;
            }
        }
        StringBuilder res = new StringBuilder();
        for (int i = 0; i < tail; i++) {
            res.append(result[i]).append(" ");
        }
        out.println(res.toString());
        out.close();
    }

    private double calcSq(int x1, int y1, int x2, int y2, int x3, int y3) {
        double d1 = dist(x1, y1, x2, y2);
        double d2 = dist(x1, y1, x3, y3);
        double d3 = dist(x2, y2, x3, y3);
        double s = (d1 + d2 + d3) / 2;
        return Math.sqrt(s * (s - d1) * (s - d2) * (s - d3));
    }

    private double dist(int x1, int y1, int x2, int y2) {
        int dx = (x1 - x2);
        int dy = (y1 - y2);
        return Math.sqrt(dx * dx + dy * dy);
    }

    /* MOD_CALCULATION */
    static int MOD = 1_000_000_007;
    static long ADD(long a, long b) {
        return (a + b) % MOD;
    }

    static long SUB(long a, long b) {
        return (a - b + MOD) % MOD;
    }

    static long MULT(long a, long b) {
        return ((a % MOD) * (b % MOD)) % MOD;
    }

    static long POW(long a, long x) {
        long res = 1;
        for ( ; x > 0; x >>= 1) {
            if (x % 2 == 1) res = MULT(res, a);
            a = MULT(a, a);
        }

        return res;
    }

    static long DIV(long a, long b) {
        return MULT(a, POW(b, MOD - 2));
    }
    /* end */

    public void run() {
        if (__FILE_DEBUG_FLAG__ == __t__) {
            try {
                is = new FileInputStream(__DEBUG_FILE_NAME__);
            } catch (FileNotFoundException e) {
                // TODO 自動生成された catch ブロック
                e.printStackTrace();
            }
            System.out.println("FILE_INPUT!");
        } else {
            is = System.in;
        }
        in = new FastScanner(is);
        out = new PrintWriter(System.out);

        solve();
    }

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

    class FastScanner {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public FastScanner(InputStream stream) {
            this.stream = stream;
            // stream = new FileInputStream(new File("dec.in"));

        }

        int read() {
            if (numChars == -1)
                throw new InputMismatchException();
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        boolean isEndline(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }

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

        int[] nextIntArray(int n) {
            int[] array = new int[n];
            for (int i = 0; i < n; i++)
                array[i] = nextInt();

            return array;
        }

        int[][] nextIntMap(int n, int m) {
            int[][] map = new int[n][m];
            for (int i = 0; i < n; i++) {
                map[i] = in.nextIntArray(m);
            }
            return map;
        }

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

        long[] nextLongArray(int n) {
            long[] array = new long[n];
            for (int i = 0; i < n; i++)
                array[i] = nextLong();

            return array;
        }

        long[][] nextLongMap(int n, int m) {
            long[][] map = new long[n][m];
            for (int i = 0; i < n; i++) {
                map[i] = in.nextLongArray(m);
            }
            return map;
        }

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

        double[] nextDoubleArray(int n) {
            double[] array = new double[n];
            for (int i = 0; i < n; i++)
                array[i] = nextDouble();

            return array;
        }

        double[][] nextDoubleMap(int n, int m) {
            double[][] map = new double[n][m];
            for (int i = 0; i < n; i++) {
                map[i] = in.nextDoubleArray(m);
            }
            return map;
        }

        String next() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        String[] nextStringArray(int n) {
            String[] array = new String[n];
            for (int i = 0; i < n; i++)
                array[i] = next();

            return array;
        }

        String nextLine() {
            int c = read();
            while (isEndline(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isEndline(c));
            return res.toString();
        }
    }
}

class Graph<E extends Edge> {
    private final int n;
    private final List<E>[] g;

    public Graph(int n) {
        this(n, new ArrayList[n]);
    }

    public Graph(int n, List<E>[] g) {
        this.n = n;
        this.g = g;
    }

    public void addDirectionalEdge(int u, E e) {
        g[u].add(e);
    }

    public Iterable<E> edges(int u) {
        return g[u];
    }

    public int size() {
        return n;
    }

    public long[] bellmanford(int start) {
        long[] dist = new long[n];
        Arrays.fill(dist, 1L << 62);
        dist[start] = 0;
        for (int i = 0; i < n - 1; i++) {
            for (int u = 0; u < n; u++) {
                for (Edge e : edges(u)) {
                    dist[e.to()] = Math.min(dist[e.to()], dist[u] + e.cost());
                }
            }
        }
        return dist;
    }
}

class StrongConnectedComponents<E extends Edge> {
    private final Graph<E> graph;

    public StrongConnectedComponents(Graph<E> graph) {
        this.graph = graph;
    }

    public SCCResult doit() {
        int n = graph.size();
        int[] order = new TopologicalSort<>(graph).doit();
        boolean[] visited = new boolean[n];
        int sccSize = 0;
        for (int u = n - 1; u >= 0; u--) {
            if (!visited[u]) {
                dfs(u, order, visited, ++sccSize);
            }
        }
        return new SCCResult(order, sccSize);
    }

    private void dfs(int u, int[] order, boolean[] visited, int id) {
        visited[u] = true;
        order[u] = id;
        for (Edge e : graph.edges(u)) {
            if (!visited[e.to()]) {
                dfs(e.to(), order, visited, id);
            }
        }
    }

    class SCCResult {
        final int[] order;
        final int sccSize;

        public SCCResult(int[] order, int sccSize) {
            this.order = order;
            this.sccSize = sccSize;
        }

        public <E extends Edge> Graph<E> generateNewGraph(Graph<E> graph, EdgeGenerator<E> edgeGenerator) {
            final Graph<E> newGraph = new Graph<>(sccSize);
            final UnionFindTree uft = new UnionFindTree(sccSize);
            for (int u = 0; u < graph.size(); u++) {
                for (E e : graph.edges(u)) {
                    int from = order[u];
                    int to = order[e.to()];
                    if (!uft.same(from, to)) {
                        newGraph.addDirectionalEdge(from, edgeGenerator.generate(to, e));
                    }
                }
            }
            return newGraph;
        }
    }
}

interface EdgeGenerator<E extends Edge> {
    E generate(int to, E originalEdge);
}

class TopologicalSort<E extends Edge> {
    private final Graph<E> graph;

    public TopologicalSort(Graph<E> graph) {
        this.graph = graph;
    }

    int index;
    boolean[] visited;

    public int[] doit() {
        final int n = graph.size();
        visited = new boolean[n];
        index = n - 1;

        int[] result = new int[n];
        for (int u = 0; u < n; u++) {
            if (!visited[u]) {
                dfs(u, result);
            }
        }
        if (index != -1) {
            throw new RuntimeException();
        }
        return result;
    }

    private void dfs(int u, int[] result) {
        visited[u] = true;
        for (Edge e : graph.edges(u)) {
            if (!visited[e.to()]) {
                dfs(e.to(), result);
            }
        }
        result[index--] = u;
    }
}

class EdgeImpl implements Edge {
    private final int to;
    private final long cost;

    public EdgeImpl(int to, long cost) {
        this.to = to;
        this.cost = cost;
    }

    @Override
    public int to() {
        return to;
    }

    @Override
    public long cost() {
        return cost;
    }
}

interface Edge {
    int to();
    long cost();
}

class UnionFindTree {
    int[] parent;
    int[] size;

    public UnionFindTree(int n) {
        parent = new int[n];
        size = new int[n];
        init();
    }

    public void init() {
        for (int i = 0; i < parent.length; i++) {
            parent[i] = i;
            size[i] = 1;
        }
    }

    public int find(int x) {
        if (parent[x] == x) return x;
        return parent[x] = find(parent[x]);
    }

    public boolean same(int x, int y) {
        return find(x) == find(y);
    }

    public void unite(int x, int y) {
        int xx = find(x), yy = find(y);
        if (xx == yy) return;
        parent[xx] = yy;
        size[yy] += size[xx];
    }

    public int getSize(int x) {
        return size[find(x)];
    }

    public int getSize(int x, int y) {
        int xx = find(x), yy = find(y);
        if (xx == yy)
            return size[xx];
        else
            return size[xx] + size[yy];
    }

    public String toString() {
        String res = "";
        res += Arrays.toString(parent) + "\n";
        res += Arrays.toString(size);
        return res;
    }
}
