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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main {

    private static boolean calc7(int a, int b, int c, int d, String op1, String op2, String op3) {
        int e = 0;
        e = op1.equals("+") ? (a+b) : (a-b);
        e = op2.equals("+") ? (e+c) : (e-c);
        e = op3.equals("+") ? (e+d) : (e-d);

        if (e == 7) {
            System.out.println(a+op1+b+op2+c+op3+d+"=7");
            System.exit(0);
            return true;
        }
        return false;
    }

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        String[] sn = sc.next().split("");
        int a = Integer.parseInt(sn[0]);
        int b = Integer.parseInt(sn[1]);
        int c = Integer.parseInt(sn[2]);
        int d = Integer.parseInt(sn[3]);

        calc7(a, b, c, d, "+", "+", "+");
        calc7(a, b, c, d, "+", "+", "-");
        calc7(a, b, c, d, "+", "-", "+");
        calc7(a, b, c, d, "+", "-", "-");
        calc7(a, b, c, d, "-", "+", "+");
        calc7(a, b, c, d, "-", "+", "-");
        calc7(a, b, c, d, "-", "-", "+");
        calc7(a, b, c, d, "-", "-", "-");
    }

}