Recently Ivan the Fool decided to become smarter and study the probability theory. He thinks that he understands the subject fairly well, and so he began to behave like he already got PhD in that area.

To prove his skills, Ivan decided to demonstrate his friends a concept of random picture. A picture is a field of n rows and m columns, where each cell is either black or white. Ivan calls the picture random if for every cell it has at most one adjacent cell of the same color. Two cells are considered adjacent if they share a side.

Ivan's brothers spent some time trying to explain that it's not how the randomness usually works. Trying to convince Ivan, they want to count the number of different random (according to Ivan) pictures. Two pictures are considered different if at least one cell on those two picture is colored differently. Since the number of such pictures may be quite large, print it modulo 10^9 + 7.

Input

The only line contains two integers n and m (1 ≤ n, m ≤ 100 000), the number of rows and the number of columns of the field.

Output

Print one integer, the number of random pictures modulo 10^9 + 7.

Example

Input


2 3


Output


8

Note

The picture below shows all possible random pictures of size 2 by 3. 

<image>
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author out_of_the_box
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        CIvanTheFoolAndTheProbabilityTheory solver = new CIvanTheFoolAndTheProbabilityTheory();
        solver.solve(1, in, out);
        out.close();
    }

    static class CIvanTheFoolAndTheProbabilityTheory {
        private static final int MOD = 1000000007;

        public void solve(int testNumber, InputReader in, OutputWriter out) {
            int n = in.nextInt();
            int m = in.nextInt();
            int l = Math.max(n, m);
            int fn = 1;
            int fm = 1;
            int[][] prev = new int[2][2];
            int[][] next = new int[2][2];
            for (int i = 0; i < 2; i++) {
                for (int j = 0; j < 2; j++) {
                    prev[i][j] = 1;
                }
            }
            for (int c = 2; c <= l; c++) {
                for (int i = 0; i < 2; i++) {
                    for (int j = 0; j < 2; j++) {
                        if (j == 1) {
                            next[i][j] = MathUtility.add(prev[i][other(j)], prev[other(i)][j], MOD);

                        } else {
                            next[i][j] = prev[other(i)][other(j)];
                        }
                    }
                }
                if (c == n) fn = next[1][1];
                if (c == m) fm = next[1][1];
                for (int i = 0; i < 2; i++) {
                    for (int j = 0; j < 2; j++) {
                        prev[i][j] = next[i][j];
                    }
                }
            }
            int te = MathUtility.sub(fm, 1, MOD);
            int ans = MathUtility.add(fn, te, MOD);
            ans = MathUtility.mult(ans, 2, MOD);
            out.print(ans);
        }

        private int other(int i) {
            if (i == 0) return 1;
            return 0;
        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public 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++];
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

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

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);

        }

    }

    static class MathUtility {
        public static int sub(int a, int b, int MOD) {
            return add(a, MOD - b, MOD);
        }

        public static int mult(int a, int b, int MOD) {
            long temp = ((long) a) * ((long) b);
            if (temp >= ((long) MOD)) {
                temp %= MOD;
            }
            return (int) temp;
        }

        public static int add(int a, int b, int MOD) {
            int res = a + b;
            if (res >= MOD) {
                res -= MOD;
            }
            return res;
        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void close() {
            writer.close();
        }

        public void print(int i) {
            writer.print(i);
        }

    }
}

