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: Wrong Answer)

import java.util.Scanner;
     
class Main{
    public static void main(String arg[]) {
        Scanner sc = new Scanner(System.in);
        
        String S = sc.nextLine();
        sc.close();
        String[] ope = {"+","-"};
        int ans = 0;
        String[] s = S.split("");

        int A = Integer.parseInt(s[0]);
        int B = Integer.parseInt(s[1]);
        int C = Integer.parseInt(s[2]);
        int D = Integer.parseInt(s[3]);

        String result = "";
        
        for(int i = 0; i < 2; i++) {
            String ope1 = ope[i];
            if(ope1.equals("+")) {
                ans = A + B;
            }else {
                ans = A - B;
            }
            for(int j = 0; j < 2; j++) {
                String ope2 = ope[j];
                if(ope2.equals("+")) {
                    ans += C;
                }else {
                    ans -= C;
                }
                for(int k = 0; k < 2; k++) {
                    String ope3 = ope[k];
                    if(ope3.equals("+")) {
                        ans += D;
                    }else {
                        ans -= D;
                    }
                    if(ans == 7) {
                        result = A +ope1+ B +ope2+ C +ope3+ D + "=7";
                        break;
                    }
                }
            }
        }
        System.out.println(result);
    }
}