Problem: Students went into a class to write a test and sat in some way. The teacher thought: "Probably they sat in this order to copy works of each other. I need to rearrange them in such a way that students that were neighbors are not neighbors in a new seating."

The class can be represented as a matrix with n rows and m columns with a student in each cell. Two students are neighbors if cells in which they sit have a common side.

Let's enumerate students from 1 to n·m in order of rows. So a student who initially sits in the cell in row i and column j has a number (i - 1)·m + j. You have to find a matrix with n rows and m columns in which all numbers from 1 to n·m appear exactly once and adjacent numbers in the original matrix are not adjacent in it, or determine that there is no such matrix.

Input

The only line contains two integers n and m (1 ≤ n, m ≤ 105; n·m ≤ 105) — the number of rows and the number of columns in the required matrix.

Output

If there is no such matrix, output "NO" (without quotes). 

Otherwise in the first line output "YES" (without quotes), and in the next n lines output m integers which form the required matrix.

Examples

Input

2 4


Output

YES
5 4 7 2 
3 6 1 8 


Input

2 1


Output

NO

Note

In the first test case the matrix initially looks like this:
    
    
      
    1 2 3 4  
    5 6 7 8  
    

It's easy to see that there are no two students that are adjacent in both matrices.

In the second test case there are only two possible seatings and in both of them students with numbers 1 and 2 are neighbors.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.util.function.IntConsumer;
import java.util.stream.Stream;

public class Solution {


    static MyScanner sc;
    private static PrintWriter out;
    static long M2 = 1_000_000_000L + 7;

    private static HashMap<Long, Long>[] mods;

    public static void main(String[] s) throws Exception {
        StringBuilder stringBuilder = new StringBuilder();
//        stringBuilder.append(" 10 1 1 ");
//        stringBuilder.append("7 3\n" +
//                "1 5 2 6 3 7 4\n" +
//                "2 5 3\n" +
//                "4 4 1\n" +
//                "1 7 3");

//
//        Random r = new Random(5);
//        stringBuilder.append("100000 5000 ");
//        for (int i = 0; i < 100000; i++) {
//            stringBuilder.append(" " + (r.nextInt(2000000000) - 1000000000) + " ");
//
//        }
//        for (int k = 0; k < 5000; k++) {
//            stringBuilder.append(" 1 100000 777 ");
//        }

        if (stringBuilder.length() == 0) {
            sc = new MyScanner(System.in);
        } else {
            sc = new MyScanner(new BufferedReader(new StringReader(stringBuilder.toString())));
        }

        out = new PrintWriter(new OutputStreamWriter(System.out));

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


    private static void initData() {


    }

    private static void solve() throws IOException {

        int n = sc.nextInt();
        int m = sc.nextInt();
        int[] res = new int[n * m];
        int i = 0;
        TreeSet<Integer> unv = new TreeSet<>();
        for (int k = 1; k <= n * m; k++) {
            unv.add(k);
        }
        while (i < n * m && i >= 0) {
            Iterator<Integer> kk = unv.iterator();
            int l1 = i / m;
            int l2 = i % m;
            boolean v = false;
            while (kk.hasNext()) {
                int f = kk.next();
                if (f <= res[i]) continue;
                if (l1 > 0 && isn(n, m, f, res[i - m])) {
                    continue;
                }
                if (l2 > 0 && isn(n, m, f, res[i - 1])) {
                    continue;
                }
                v = true;
                res[i] = f;
                kk.remove();
                break;
            }
            if (v) {
                i++;
                if (i < n * m)
                    res[i] = 0;
            } else {
                i--;
                if (i>=0)
                unv.add(res[i]);
            }

        }
        if (i == n * m) {
            out.println("YES");
            for (int ll = 0; ll < n * m; ll++) {
                out.print(res[ll] + " ");
                if (ll % m == m - 1) {
                    out.println();
                }
            }
        } else {
            out.println("NO");
        }


    }

    private static boolean isn(int n, int m, int f1, int f2) {
        f1--;
        f2--;
        int r1 = f1 / m;
        int r2 = f2 / m;

        int l1 = f1 % m;
        int l2 = f2 % m;


        return Math.abs(r1 - r2) + Math.abs(l1 - l2) == 1;
    }

    private static int[] ask(int i) {
        out.println("? " + i);
        out.flush();
        return new int[]{sc.nextInt(), sc.nextInt()};
    }

    private static final class AList {
        int[] data;
        int c = 0;

        public AList(int n) {
            this.data = new int[Math.max(Integer.highestOneBit(n - 1) << 1, 4)];
        }

        public AList() {
            this(4);
        }

        public AList(int[] data) {
            this(data.length);
            System.arraycopy(data, 0, this.data, 0, data.length);
        }

        public void sort() {
            if (c < 2) return;
            Arrays.sort(data, 0, c);
        }

        public void work(IntConsumer intConsumer) {
            for (int i = 0; i < c; i++) {
                intConsumer.accept(data[i]);
            }
        }

        public void add(int k) {
            if (c == data.length) {
                data = Arrays.copyOf(data, data.length << 1);
            }
            data[c++] = k;
        }


    }

    private static final class SparseMatrix {
        AList[] init;

        public SparseMatrix(int n) {
            init = new AList[n + 1];
            for (int i = 1; i <= n; i++) {
                init[i] = new AList();
            }
        }

        void sort() {
            for (AList l : init) {
                if (l != null)
                    l.sort();
            }
        }

        public void add(int row, int column) {
            while (row < init.length) {
                init[row].add(column);
                row += row & (-row);
            }
        }


        private long sum(int x, int y) {
            if (x >= init.length) x = init.length - 1;
            long sum = 0;
            while (x > 0) {
                sum += r(x, y);
                x -= x & (-x);
            }
            return sum;
        }

        private long r(int x, int y) {
            return biSearch(init[x].data, 0, init[x].c, y);
        }
    }

    static int biSearch(int[] k, int from, int to, int val) {
        int r = Arrays.binarySearch(k, from, to, val + 1);
        if (r < 0) r = -r - 1;
        return r;
    }


    private static boolean isset(long i, int k) {
        return (i & (1 << k)) > 0;
    }

    private static void solveT() throws IOException {
        int t = sc.nextInt();
        while (t-- > 0) {
            solve();
        }
    }


    private static long gcd(long l, long l1) {
        if (l > l1) return gcd(l1, l);
        if (l == 0) return l1;
        return gcd(l1 % l, l);
    }

    private static long pow(long a, long b, long m) {
        if (b == 0) return 1;
        if (b == 1) return a;
        long pp = pow(a, b / 2, m);
        pp *= pp;
        pp %= m;
        return (pp * (b % 2 == 0 ? 1 : a)) % m;
    }


    static class MyScanner {
        BufferedReader br;
        StringTokenizer st;

        MyScanner(BufferedReader br) {
            this.br = br;
        }

        public MyScanner(InputStream in) {
            this(new BufferedReader(new InputStreamReader(in)));
        }

        void findToken() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
        }

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

        Integer[] nab(int n) {
            Integer[] k = new Integer[n];
            for (int i = 0; i < n; i++) {
                k[i] = sc.fi();
            }
            return k;
        }

        int[] na(int n) {
            int[] k = new int[n];
            for (int i = 0; i < n; i++) {
                k[i] = sc.fi();
            }
            return k;
        }

        long[] nl(int n) {
            long[] k = new long[n];
            for (int i = 0; i < n; i++) {
                k[i] = sc.nextLong();
            }
            return k;
        }

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

        int fi() {
            String t = next();
            int cur = 0;
            boolean n = t.charAt(0) == '-';
            for (int a = n ? 1 : 0; a < t.length(); a++) {
                cur = cur * 10 + t.charAt(a) - '0';
            }
            return n ? -cur : cur;
        }

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

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


}