Problem:
Score : 300 points

Problem Statement

Sitting in a station waiting room, Joisino is gazing at her train ticket.

The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive).

In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with + or - so that the formula holds.

The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted.

Constraints

0≤A,B,C,D≤9

All input values are integers.

It is guaranteed that there is a solution.

Input

Input is given from Standard Input in the following format:

ABCD

Output

Print the formula you made, including the part =7.

Use the signs + and -.

Do not print a space between a digit and a sign.

Sample Input 1

1222

Sample Output 1

1+2+2+2=7

This is the only valid solution.

Sample Input 2

0290

Sample Output 2

0-2+9+0=7

0 - 2 + 9 - 0 = 7 is also a valid solution.

Sample Input 3

3242

Sample Output 3

3+2+4-2=7

Solution in Java7 (OpenJDK 1.7.0) (judge verdict: Wrong Answer)

import java.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        String input = sc.next();
        sc.close();
        int a = Integer.parseInt(input.substring(0, 1));
        int b = Integer.parseInt(input.substring(1, 2));
        int c = Integer.parseInt(input.substring(2, 3));
        int d = Integer.parseInt(input.substring(3, 4));

        String op[] = {"+", "-"};
        String op1 = "";
        String op2 = "";
        String op3 = "";
        // 7 = a +- b +- c +- d
        boolean ans = false;
        for (int i = 0; i < 2; i++) {
            op1 = op[i];
            int z = 0;
            if (op1.equals("+")) {
                z = a+b;
            } else {
                z = a-b;
            }
            for (int j = 0; j < 2; j++) {
                op2 = op[j];
                if (op2.equals("+")) {
                    z = z+c;
                } else {
                    z = z-c;
                }
                for (int k = 0; k < 2; k++) {
                    op3 = op[k];
                    if (op3.equals("+")) {
                        z = z+d;
                    } else {
                        z = z-d;
                    }
                    if (z == 7) {
                        ans = true;
                        break;
                    }
                }
                if (ans) {
                    break;
                }
            }
            if (ans) {
                break;
            }
        }
        System.out.println(a+op1+b+op2+c+op3+d+"=7");
    }
}