Snuke is standing on a two-dimensional plane. In one operation, he can move by 1 in the positive x-direction, or move by 1 in the positive y-direction.

Let us define a function f(r, c) as follows:

* f(r,c) :=  (The number of paths from the point (0, 0) to the point (r, c) that Snuke can trace by repeating the operation above)



Given are integers r_1, r_2, c_1, and c_2. Find the sum of f(i, j) over all pair of integers (i, j) such that r_1 ≤ i ≤ r_2 and c_1 ≤ j ≤ c_2, and compute this value modulo (10^9+7).

Constraints

* 1 ≤ r_1 ≤ r_2 ≤ 10^6
* 1 ≤ c_1 ≤ c_2 ≤ 10^6
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


r_1 c_1 r_2 c_2


Output

Print the sum of f(i, j) modulo (10^9+7).

Examples

Input

1 1 2 2


Output

14


Input

314 159 2653 589


Output

602215194
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Scanner;

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

    static class FManyManyPaths {
        public void solve(int testNumber, Scanner in, PrintWriter out) {
            ModInt ans = new ModInt(0);
            ModComb mc = new ModComb(2000005);
            int r1 = in.nextInt();
            int c1 = in.nextInt();
            int r2 = in.nextInt();
            int c2 = in.nextInt();
            for (int i = r1; i <= r2; i++) {
                ans = ans.add(mc.combFac(c2 + i + 1, c2)).sub(mc.combFac(c1 + i, i + 1));
                // out.println(mc.combFac(c2+i+1,c2));
                // out.println(mc.combFac(c1+i,i+1));
            }

            out.println(ans.getVal());

        }

    }

    static class ModInt {
        long val;
        int MOD = (int) 1e9 + 7;

        public ModInt(long i) {
            this.val = (i + MOD) % MOD;
        }

        public ModInt mul(long l) {
            return new ModInt(this.val * l);
        }

        public ModInt add(ModInt m) {
            return new ModInt(this.val + m.getVal());
        }

        public ModInt sub(ModInt m) {
            return new ModInt(this.val - m.getVal());
        }

        public ModInt inv() {
            return this.pow(MOD - 2);
        }

        public ModInt pow(long l) {
            ModInt res = new ModInt(1);
            ModInt v = new ModInt(this.val);
            while (l > 0) {
                if (l % 2 != 0) {
                    res = res.mul(v.val);
                }
                v = v.mul(v.val);
                l /= 2;
            }
            return res;
        }

        public long getVal() {
            return val;
        }

        public String toString() {
            return Long.toString(val);
        }

    }

    static class ModComb {
        private int size;
        private ModInt[] fac;
        private ModInt[] inv;

        public ModComb(int n) {
            size = n;
            fac = new ModInt[n + 1];
            inv = new ModInt[n + 1];
            makeFac();
        }

        private void makeFac() {
            for (int i = 0; i <= size; i++) {
                if (i == 0) {
                    fac[i] = new ModInt(1);
                } else {
                    fac[i] = fac[i - 1].mul(i);
                }
                inv[i] = fac[i].inv();
            }
        }

        public ModInt combFac(int n, int k) {
            if (n < k) {
                return new ModInt(0);
            }
            return fac[n].mul(inv[k].getVal()).mul(inv[n - k].getVal());
        }

    }
}

