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.*;

public class Main {
	public static void main(String args[]) {
		Scanner sc = new Scanner(System.in);
		char c[] = sc.nextLine().toCharArray();
		for(int i = 0; i < Math.pow(2, 3); i++) {
			int c_num[] = {Character.getNumericValue(c[1]), Character.getNumericValue(c[2]), Character.getNumericValue(c[3])};			
			String answer[] = new String[3];
			for(int j = 0; j < 3; j++) {
				if((1 & i >> j) == 1) {
					c_num[j] = -c_num[j];
				}
			}
			if(Character.getNumericValue(c[0]) + c_num[0] + c_num[1] + c_num[2] == 7) {
				for(int k = 0; k < 3; k++) {
					if(c_num[k] >= 0) {
						answer[k] = "+" + c_num[k];
					} else {
						answer[k] = String.valueOf(c_num[k]);
					}
				}
				System.out.println(c[0] + answer[0] + answer[1] + answer[2] + "=7");
				break;
			}
		}
	}
}