Problem: Long story short, shashlik is Miroslav's favorite food. Shashlik is prepared on several skewers simultaneously. There are two states for each skewer: initial and turned over.

This time Miroslav laid out n skewers parallel to each other, and enumerated them with consecutive integers from 1 to n in order from left to right. For better cooking, he puts them quite close to each other, so when he turns skewer number i, it leads to turning k closest skewers from each side of the skewer i, that is, skewers number i - k, i - k + 1, ..., i - 1, i + 1, ..., i + k - 1, i + k (if they exist). 

For example, let n = 6 and k = 1. When Miroslav turns skewer number 3, then skewers with numbers 2, 3, and 4 will come up turned over. If after that he turns skewer number 1, then skewers number 1, 3, and 4 will be turned over, while skewer number 2 will be in the initial position (because it is turned again).

As we said before, the art of cooking requires perfect timing, so Miroslav wants to turn over all n skewers with the minimal possible number of actions. For example, for the above example n = 6 and k = 1, two turnings are sufficient: he can turn over skewers number 2 and 5.

Help Miroslav turn over all n skewers.

Input

The first line contains two integers n and k (1 ≤ n ≤ 1000, 0 ≤ k ≤ 1000) — the number of skewers and the number of skewers from each side that are turned in one step.

Output

The first line should contain integer l — the minimum number of actions needed by Miroslav to turn over all n skewers. After than print l integers from 1 to n denoting the number of the skewer that is to be turned over at the corresponding step.

Examples

Input

7 2


Output

2
1 6 


Input

5 1


Output

2
1 4 

Note

In the first example the first operation turns over skewers 1, 2 and 3, the second operation turns over skewers 4, 5, 6 and 7.

In the second example it is also correct to turn over skewers 2 and 5, but turning skewers 2 and 4, or 1 and 5 are incorrect solutions because the skewer 3 is in the initial state after these operations.

Solution (in JAVA):

Solution:
import static java.lang.Math.abs;
import static java.lang.String.format;

import java.io.*;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.StringTokenizer;
import java.util.stream.Collectors;
import java.util.stream.Stream;

/**
 * https://codeforces.com/contest/1040/problem/B
 */
public class Solution1040B {

    private static ByteArrayOutputStream interceptedStream = new ByteArrayOutputStream();
    private static PrintStream systemOut = System.out;
    private static InputReader in  = new InputReader(System.in);
    private static PrintWriter out = new PrintWriter(System.out);


    public static void main(String[] args) throws IOException {

        solve();
        out.flush();
        out.close();
    }

    static void solve() {

        int n = in.nextInt();
        int k = in.nextInt();


        int div   = n % (2 * k + 1);   // 2 * k + 1 - interval covered by 1 item
        int count = n / (2 * k + 1);   // number of items
        int first = k + 1;

        if (div != 0) {                // interval not divisible on even sections 2 * k +1
            count += 1;
            first = div - k;           // if remainder bigger  than k
            if (div <= k) first = div; // if remainder smaller than k
        }

        if (k >= n) {
            count = 1;
            first = 1;
        }

        out.println(count);
        for (int i = 0; i < count; i++) {
            out.print(first + (2 * k + 1) * i + " ");
        }
    }

    private static void enableTestFromFile(String fileName) throws IOException {
        System.setOut(new PrintStream(interceptedStream));
        out = new PrintWriter(System.out);
        in = new InputReader(new File(fileName));
    }


    private static long[] getResultsFromInterceptedStream() {
        out.flush();
        String[] stringArray = interceptedStream.toString().split("\r\n");

        interceptedStream.reset();
        System.setOut(systemOut);
        out = new PrintWriter(System.out);

        return $.arrayStringToLong(stringArray);
    }


    /**
     * Assert method for testing.
     */
    private static class Assert {

        static void assertEquals(int actual, int expected) {
            if (actual != expected) {
                throw new RuntimeException("\n" + actual + " != "  + expected);
            }
        }

        static void assertEquals(long actual, long expected) {
            if (actual != expected) {
                throw new RuntimeException("\n" + actual + " != "  + expected);
            }
        }

        static void assertEquals(int[] actual, int[] expected) {
            if (!Arrays.equals(actual, expected)) {
                throw new RuntimeException("\n" + Arrays.toString(actual)
                    + "\n" + Arrays.toString(expected));
            }
        }

        static void assertEquals(long[] actual, long[] expected) {
            if (!Arrays.equals(actual, expected)) {
                throw new RuntimeException("\n" + Arrays.toString(actual)
                    + "\n" + Arrays.toString(expected));
            }
        }
    }


    /**
     * Class for read input.
     */
    private static class InputReader {
        BufferedReader reader;
        StringTokenizer tokenizer;

        /**
         * Read from file.
         */
        InputReader(File file) throws FileNotFoundException {
            reader = new BufferedReader(new InputStreamReader(new FileInputStream(file)), 32768);
            tokenizer = null;
        }

        /**
         * Read from stream.
         */
        InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        boolean hasNext() {
            try {
                return reader.ready();
            } catch (IOException e) {
                e.printStackTrace();
                return false;
            }
        }

        String next() {

            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

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

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

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

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

                array[i] = nextLong();
            }
            return array;
        }

        long[][] readDoubleArrayLong(int n) {
            long[][] array = new long[n][2];
            for (int i = 0; i < n; i++) {

                array[i][0] = nextLong();
                array[i][1] = nextLong();
            }
            return array;
        }
    }

    /**
     * Util class with different util methods.
     */
    private static class $ {

        static int[] ints(int... args) {
            return args;
        }

        static long[] longs(long... args) {
            return args;
        }

        static String[] strings(String... args) {
            return args;
        }

        static long[] arrayStringToLong(String[] stringArray) {
            long[] longArray = new long[stringArray.length];

            for (int i = 0; i < stringArray.length; i++) {
                longArray[i] = Long.parseLong(stringArray[i]);
            }
            return longArray;
        }

        static int[] arrayStringToInt(String[] stringArray) {
            int[] intArray = new int[stringArray.length];

            for (int i = 0; i < stringArray.length; i++) {
                intArray[i] = Integer.parseInt(stringArray[i]);
            }
            return intArray;
        }

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

        static boolean isPrime(long n) {
            if (n == 1) return false;

            long limit = (long) Math.sqrt(n);
            for (long i = 2; i <= limit; i++) {
                if (n % i == 0) return false;
            }
            return true;
        }

        static String[] readFile(String fileName) {
            List<String> list = new ArrayList<>();

            try (Stream<String> stream = Files.lines(Paths.get(fileName))) {
                list = stream.collect(Collectors.toList());
            } catch (IOException e) {
                e.printStackTrace();
            }
            return list.toArray(new String[0]);
        }

        static long[] readFileAsLong(String fileName) {
            return arrayStringToLong(readFile(fileName));
        }

        static int[] readFileAsInt(String fileName) {
            return arrayStringToInt(readFile(fileName));
        }
    }
}