Tarly has two different type of items, food boxes and wine barrels. There are f food boxes and w wine barrels. Tarly stores them in various stacks and each stack can consist of either food boxes or wine barrels but not both. The stacks are placed in a line such that no two stacks of food boxes are together and no two stacks of wine barrels are together.

The height of a stack is defined as the number of items in the stack. Two stacks are considered different if either their heights are different or one of them contains food and other contains wine.

Jon Snow doesn't like an arrangement if any stack of wine barrels has height less than or equal to h. What is the probability that Jon Snow will like the arrangement if all arrangement are equiprobably?

Two arrangement of stacks are considered different if exists such i, that i-th stack of one arrangement is different from the i-th stack of the other arrangement.

Input

The first line of input contains three integers f, w, h (0 ≤ f, w, h ≤ 105) — number of food boxes, number of wine barrels and h is as described above. It is guaranteed that he has at least one food box or at least one wine barrel.

Output

Output the probability that Jon Snow will like the arrangement. The probability is of the form <image>, then you need to output a single integer p·q - 1 mod (109 + 7).

Examples

Input

1 1 1


Output

0


Input

1 2 1


Output

666666672

Note

In the first example f = 1, w = 1 and h = 1, there are only two possible arrangement of stacks and Jon Snow doesn't like any of them.

In the second example f = 1, w = 2 and h = 1, there are three arrangements. Jon Snow likes the (1) and (3) arrangement. So the probabilty is <image>.

<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
 */
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);
        TaskF solver = new TaskF();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskF {
        int f;
        int w;
        int h;
        final int mod = (int) (1e9 + 7);
        long[] fact = IntegerUtils.generateFactorial((int) (1e5 + 5), mod);
        long[] revFact = IntegerUtils.generateReverseFactorials((int) (1e5 + 5), mod);

        public void solve(int testNumber, InputReader in, OutputWriter out) {
            f = in.readInt();
            w = in.readInt();
            h = in.readInt();

            if (f == 0 || w == 0) {
                out.printLine(w != 0 && w <= h ? 0 : 1);
                return;
            }

            long p = 0;
            for (int cw = 1; cw <= w && 0 <= w - cw * (h + 1); cw++) {
                int rem = w - cw * (h + 1);
                for (int cf = Math.max(cw - 1, 1); cf <= Math.min(f, cw + 1); cf++) {
                    long cur = f(cw, rem) * f(cf, f - cf) % mod;
                    p += cur;
                    if (cw == cf) {
                        p += cur;
                    }
                    p %= mod;
                }
            }


            long q = 0;
            for (int cw = 1; cw <= w; cw++) {
                for (int cf = Math.max(cw - 1, 1); cf <= Math.min(f, cw + 1); cf++) {
                    long cur = f(cw, w - cw) * f(cf, f - cf) % mod;
                    q += cur;
                    if (cw == cf) {
                        q += cur;
                    }
                    q %= mod;
//                out.printLine(cw, cf, cur, q);
                }
            }
//        out.printLine(p + "/" + q);
            out.printLine(p * IntegerUtils.reverse(q, mod) % mod);
        }

        private long f(int n, int s) {
            return comb(n - 1, s + n - 1);
        }

        private long comb(int m, int n) {
            return fact[n] * revFact[m] % mod * revFact[n - m] % mod;
        }

    }

    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 printLine(long i) {
            writer.println(i);
        }

        public void printLine(int i) {
            writer.println(i);
        }

    }

    static class IntegerUtils {
        public static long power(long base, long exponent, long mod) {
            if (base >= mod) {
                base %= mod;
            }
            if (exponent == 0) {
                return 1 % mod;
            }
            long result = power(base, exponent >> 1, mod);
            result = result * result % mod;
            if ((exponent & 1) != 0) {
                result = result * base % mod;
            }
            return result;
        }

        public static long[] generateFactorial(int count, long module) {
            long[] result = new long[count];
            if (module == -1) {
                if (count != 0) {
                    result[0] = 1;
                }
                for (int i = 1; i < count; i++) {
                    result[i] = result[i - 1] * i;
                }
            } else {
                if (count != 0) {
                    result[0] = 1 % module;
                }
                for (int i = 1; i < count; i++) {
                    result[i] = (result[i - 1] * i) % module;
                }
            }
            return result;
        }

        public static long reverse(long number, long module) {
            return power(number, module - 2, module);
        }

        public static long[] generateReverse(int upTo, long module) {
            long[] result = new long[upTo];
            if (upTo > 1) {
                result[1] = 1;
            }
            for (int i = 2; i < upTo; i++) {
                result[i] = (module - module / i * result[((int) (module % i))] % module) % module;
            }
            return result;
        }

        public static long[] generateReverseFactorials(int upTo, long module) {
            long[] result = generateReverse(upTo, module);
            if (upTo > 0) {
                result[0] = 1;
            }
            for (int i = 1; i < upTo; i++) {
                result[i] = result[i] * result[i - 1] % module;
            }
            return result;
        }

    }

    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 readInt() {
            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);

        }

    }
}

