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;

public class Main {
	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		String[] inputs = scanner.nextLine().split("");
		int[] nums = new int[4];
		for (int i = 0; i < 4; i++) {
			nums[i] = Integer.parseInt(inputs[i]);
		}

		int[] masks = {4, 2, 1};

		for (int opes = 0; opes < 8; opes++) {
			int result = nums[0];
			for (int opeIndex = 0; opeIndex < 3; opeIndex++) {
				if ((opes & masks[opeIndex]) > 0) {
					result += nums[opeIndex + 1];
				} else {
					result -= nums[opeIndex + 1];
				}
			}
			if (result == 7) {
				String[] operators = String.format("%3s", Integer.toBinaryString(opes)).replaceAll("[ 0]", "-").replaceAll("1", "+").split("");
				StringBuilder expression = new StringBuilder();
				expression.append(inputs[0]);
				for (int i = 0; i < 3; i++) {
					expression
						.append(operators[i])
						.append(inputs[i + 1]);
				}
				expression
					.append("=7");
				System.out.println(opes);
				System.out.println(expression);
				return;
			}
		}
	}
}