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.IOException;
import java.io.UncheckedIOException;
import java.io.Closeable;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) throws Exception {
        Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 29);
        thread.start();
        thread.join();
    }

    static class TaskAdapter implements Runnable {
        @Override
        public void run() {
            InputStream inputStream = System.in;
            OutputStream outputStream = System.out;
            FastInput in = new FastInput(inputStream);
            FastOutput out = new FastOutput(outputStream);
            FBarrelsAndBoxes solver = new FBarrelsAndBoxes();
            solver.solve(1, in, out);
            out.close();
        }
    }

    static class FBarrelsAndBoxes {
        Modular mod = new Modular(1e9 + 7);
        int modVal = mod.getMod();
        Combination comb = new Combination(1000000, new Power(mod));

        public void solve(int testNumber, FastInput in, FastOutput out) {
            try {
                solve0(testNumber, in, out);
            } catch (IllegalArgumentException e) {
                out.println(0);
            }
        }

        public void solve0(int testNumber, FastInput in, FastOutput out) {
            int f = in.readInt();
            int w = in.readInt();
            int h = in.readInt();

            int threshold = f + w;

            long total = 0;
            long satisfy = 0;

            //food first
            for (int i = 1; i <= threshold; i++) {
                int forFood = DigitUtils.ceilDiv(i, 2);
                int forWine = i - forFood;
                //alloc
                total += way(forFood, f, 1) * way(forWine, w, 1) % modVal;
                satisfy += way(forFood, f, 1) * way(forWine, w, h + 1) % modVal;
            }

            for (int i = 1; i <= threshold; i++) {
                int forWine = DigitUtils.ceilDiv(i, 2);
                int forFood = i - forWine;

                //alloc
                total += way(forFood, f, 1) * way(forWine, w, 1) % modVal;
                satisfy += way(forFood, f, 1) * way(forWine, w, h + 1) % modVal;
            }

            total %= modVal;
            satisfy %= modVal;

            Power power = new Power(mod);
            long ans = satisfy * power.inverse((int) total) % modVal;
            out.println(ans);
        }

        public long way(int n, int m, int k) {
            if (n == 0) {
                return (long) m * k == 0 ? 1 : 0;
            }
            if ((long) k * n > m) {
                return 0;
            }
            m -= n * k;
            return comb.combination(m + n - 1, m);
        }

    }

    static class IntExtGCDObject {
        private int[] xy = new int[2];

        public int extgcd(int a, int b) {
            return ExtGCD.extGCD(a, b, xy);
        }

        public int getX() {
            return xy[0];
        }

    }

    static class DigitUtils {
        private DigitUtils() {
        }

        public static int floorDiv(int a, int b) {
            return a < 0 ? -ceilDiv(-a, b) : a / b;
        }

        public static int ceilDiv(int a, int b) {
            if (a < 0) {
                return -floorDiv(-a, b);
            }
            int c = a / b;
            if (c * b < a) {
                return c + 1;
            }
            return c;
        }

    }

    static class FastInput {
        private final InputStream is;
        private byte[] buf = new byte[1 << 13];
        private int bufLen;
        private int bufOffset;
        private int next;

        public FastInput(InputStream is) {
            this.is = is;
        }

        private int read() {
            while (bufLen == bufOffset) {
                bufOffset = 0;
                try {
                    bufLen = is.read(buf);
                } catch (IOException e) {
                    bufLen = -1;
                }
                if (bufLen == -1) {
                    return -1;
                }
            }
            return buf[bufOffset++];
        }

        public void skipBlank() {
            while (next >= 0 && next <= 32) {
                next = read();
            }
        }

        public int readInt() {
            int sign = 1;

            skipBlank();
            if (next == '+' || next == '-') {
                sign = next == '+' ? 1 : -1;
                next = read();
            }

            int val = 0;
            if (sign == 1) {
                while (next >= '0' && next <= '9') {
                    val = val * 10 + next - '0';
                    next = read();
                }
            } else {
                while (next >= '0' && next <= '9') {
                    val = val * 10 - next + '0';
                    next = read();
                }
            }

            return val;
        }

    }

    static class SequenceUtils {
        public static void swap(int[] data, int i, int j) {
            int tmp = data[i];
            data[i] = data[j];
            data[j] = tmp;
        }

    }

    static class Combination implements IntCombination {
        final Factorial factorial;
        int modVal;

        public Combination(Factorial factorial) {
            this.factorial = factorial;
            this.modVal = factorial.getMod().getMod();
        }

        public Combination(int limit, Power pow) {
            this(new Factorial(limit, pow));
        }

        public int combination(int m, int n) {
            if (n > m || n < 0) {
                return 0;
            }
            return (int) ((long) factorial.fact(m) * factorial.invFact(n) % modVal * factorial.invFact(m - n) % modVal);
        }

    }

    static class Power implements InverseNumber {
        static IntExtGCDObject extGCD = new IntExtGCDObject();
        final Modular modular;
        int modVal;

        public Modular getModular() {
            return modular;
        }

        public Power(Modular modular) {
            this.modular = modular;
            this.modVal = modular.getMod();
        }

        public int inverse(int x) {
            int ans = inverseExtGCD(x);
//        if(modular.mul(ans, x) != 1){
//            throw new IllegalStateException();
//        }
            return ans;
        }

        public int inverseExtGCD(int x) {
            if (extGCD.extgcd(x, modVal) != 1) {
                throw new IllegalArgumentException();
            }
            return modular.valueOf(extGCD.getX());
        }

    }

    static class ExtGCD {
        public static int extGCD(int a, int b, int[] xy) {
            if (a >= b) {
                return extGCD0(a, b, xy);
            }
            int ans = extGCD0(b, a, xy);
            SequenceUtils.swap(xy, 0, 1);
            return ans;
        }

        private static int extGCD0(int a, int b, int[] xy) {
            if (b == 0) {
                xy[0] = 1;
                xy[1] = 0;
                return a;
            }
            int ans = extGCD0(b, a % b, xy);
            int x = xy[0];
            int y = xy[1];
            xy[0] = y;
            xy[1] = x - a / b * y;
            return ans;
        }

    }

    static class Factorial {
        int[] fact;
        int[] inv;
        Modular mod;

        public Modular getMod() {
            return mod;
        }

        public Factorial(int[] fact, int[] inv, Power pow) {
            this.mod = pow.getModular();
            this.fact = fact;
            this.inv = inv;
            fact[0] = inv[0] = 1;
            int n = Math.min(fact.length, pow.getModular().getMod());
            for (int i = 1; i < n; i++) {
                fact[i] = i;
                fact[i] = mod.mul(fact[i], fact[i - 1]);
            }
            inv[n - 1] = pow.inverse(fact[n - 1]);
            for (int i = n - 2; i >= 1; i--) {
                inv[i] = mod.mul(inv[i + 1], i + 1);
            }
        }

        public Factorial(int limit, Power pow) {
            this(new int[limit + 1], new int[limit + 1], pow);
        }

        public int fact(int n) {
            return fact[n];
        }

        public int invFact(int n) {
            return inv[n];
        }

    }

    static class FastOutput implements AutoCloseable, Closeable, Appendable {
        private StringBuilder cache = new StringBuilder(10 << 20);
        private final Writer os;

        public FastOutput append(CharSequence csq) {
            cache.append(csq);
            return this;
        }

        public FastOutput append(CharSequence csq, int start, int end) {
            cache.append(csq, start, end);
            return this;
        }

        public FastOutput(Writer os) {
            this.os = os;
        }

        public FastOutput(OutputStream os) {
            this(new OutputStreamWriter(os));
        }

        public FastOutput append(char c) {
            cache.append(c);
            return this;
        }

        public FastOutput append(int c) {
            cache.append(c);
            return this;
        }

        public FastOutput append(long c) {
            cache.append(c);
            return this;
        }

        public FastOutput println(int c) {
            return append(c).println();
        }

        public FastOutput println(long c) {
            return append(c).println();
        }

        public FastOutput println() {
            cache.append(System.lineSeparator());
            return this;
        }

        public FastOutput flush() {
            try {
                os.append(cache);
                os.flush();
                cache.setLength(0);
            } catch (IOException e) {
                throw new UncheckedIOException(e);
            }
            return this;
        }

        public void close() {
            flush();
            try {
                os.close();
            } catch (IOException e) {
                throw new UncheckedIOException(e);
            }
        }

        public String toString() {
            return cache.toString();
        }

    }

    static interface InverseNumber {
    }

    static class Modular {
        int m;

        public int getMod() {
            return m;
        }

        public Modular(int m) {
            this.m = m;
        }

        public Modular(long m) {
            this.m = (int) m;
            if (this.m != m) {
                throw new IllegalArgumentException();
            }
        }

        public Modular(double m) {
            this.m = (int) m;
            if (this.m != m) {
                throw new IllegalArgumentException();
            }
        }

        public int valueOf(int x) {
            x %= m;
            if (x < 0) {
                x += m;
            }
            return x;
        }

        public int valueOf(long x) {
            x %= m;
            if (x < 0) {
                x += m;
            }
            return (int) x;
        }

        public int mul(int x, int y) {
            return valueOf((long) x * y);
        }

        public String toString() {
            return "mod " + m;
        }

    }

    static interface IntCombination {
    }
}

