You are given positive integer number n. You should create such strictly increasing sequence of k positive numbers a1, a2, ..., ak, that their sum is equal to n and greatest common divisor is maximal.

Greatest common divisor of sequence is maximum of such numbers that every element of sequence is divisible by them.

If there is no possible sequence then output -1.

Input

The first line consists of two numbers n and k (1 ≤ n, k ≤ 1010).

Output

If the answer exists then output k numbers — resulting sequence. Otherwise output -1. If there are multiple answers, print any of them.

Examples

Input

6 3


Output

1 2 3


Input

8 2


Output

2 6


Input

5 3


Output

-1
import java.io.*;
import java.math.BigInteger;
import java.util.*;

public class Template implements Runnable {

    BufferedReader in;
    PrintWriter out;
    StringTokenizer tok = new StringTokenizer("");

    void init() throws FileNotFoundException {
        try {
            in = new BufferedReader(new FileReader("input.txt"));
            out = new PrintWriter("output.txt");
        } catch (Exception e) {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
        }
    }

    class GraphBuilder {
        int n, m;
        int[] x, y;
        int index;
        int[] size;


        GraphBuilder(int n, int m) {
            this.n = n;
            this.m = m;
            x = new int[m];
            y = new int[m];
            size = new int[n];
        }

        void add(int u, int v) {
            x[index] = u;
            y[index] = v;
            size[u]++;
            size[v]++;
            index++;
        }

        int[][] build() {
            int[][] graph = new int[n][];
            for (int i = 0; i < n; i++) {
                graph[i] = new int[size[i]];
            }
            for (int i = index - 1; i >= 0; i--) {
                int u = x[i];
                int v = y[i];
                graph[u][--size[u]] = v;
                graph[v][--size[v]] = u;
            }
            return graph;
        }
    }

    String readString() throws IOException {
        while (!tok.hasMoreTokens()) {
            try {
                tok = new StringTokenizer(in.readLine());
            } catch (Exception e) {
                return null;
            }
        }
        return tok.nextToken();
    }

    int readInt() throws IOException {
        return Integer.parseInt(readString());
    }

    int[] readIntArray(int size) throws IOException {
        int[] res = new int[size];
        for (int i = 0; i < size; i++) {
            res[i] = readInt();
        }
        return res;
    }

    long[] readLongArray(int size) throws IOException {
        long[] res = new long[size];
        for (int i = 0; i < size; i++) {
            res[i] = readLong();
        }
        return res;
    }

    long readLong() throws IOException {
        return Long.parseLong(readString());
    }

    double readDouble() throws IOException {
        return Double.parseDouble(readString());
    }

    <T> List<T>[] createGraphList(int size) {
        List<T>[] list = new List[size];
        for (int i = 0; i < size; i++) {
            list[i] = new ArrayList<>();
        }
        return list;
    }

    public static void main(String[] args) {
        new Template().run();
        // new Thread(null, new Template(), "", 1l * 200 * 1024 * 1024).start();
    }

    long timeBegin, timeEnd;

    void time() {
        timeEnd = System.currentTimeMillis();
        System.err.println("Time = " + (timeEnd - timeBegin));
    }

    long memoryTotal, memoryFree;

    void memory() {
        memoryFree = Runtime.getRuntime().freeMemory();
        System.err.println("Memory = " + ((memoryTotal - memoryFree) >> 10)
                + " KB");
    }

    public void run() {
        try {
            timeBegin = System.currentTimeMillis();
            memoryTotal = Runtime.getRuntime().freeMemory();
            init();
            solve();
            out.close();
            if (System.getProperty("ONLINE_JUDGE") == null) {
                time();
                memory();
            }
        } catch (Exception e) {
            e.printStackTrace();
            System.exit(-1);
        }
    }

    boolean ok(long k, long available) {
        long limit = (long)Math.sqrt(available) + 100;
        limit *= 10;
        if (k > limit) return false;
        long minNeed = (1 + k) * k / 2;
        return minNeed <= available;
    }

    void solve() throws IOException {
        long n = readLong();
        long k = readLong();


        long maxOk = Long.MIN_VALUE;

        for (long x = 1; x * x <= n; x++) {
            if (n % x == 0) {
                if (ok(k, n / x)) {
                    maxOk = Math.max(maxOk, x);
                }
                if (ok(k, x)) {
                    maxOk = Math.max(maxOk, n / x);
                }
            }
        }
        if (maxOk == Long.MIN_VALUE) {
            out.println(-1);
            return;
        }

        long rem = n / maxOk;
        for (int i = 0; i < k; i++) {
            long now = i + 1;
            if (i == k - 1) {
                now = rem;
            }
            rem -= now;
            out.print(now * maxOk + " ");
        }


    }


}