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: Runtime Error)

import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
	    int a = sc.nextInt();
	    int b = sc.nextInt();
	    int c = sc.nextInt();
	    int d = sc.nextInt();
	    String op1 = "";
	    String op2 = "";
	    String op3 = "";

	    loop: for (int i = -1; i <= 1; i +=2) {
	    	int tmp_answer = 0;
	    	 for (int j = -1; j <= 1; j +=2) {
	    		 for (int k = -1; k <= 1; k +=2) {
	    			 tmp_answer = a + b * i + c * j + d * k;
	    			 if (tmp_answer == 7) {

	    				 if (i == -1) {
	    					 op1 = "-";
	    				 }
	    				 else {
	    					 op1 = "+";
	    				 }

	    				 if (j == -1) {
	    					 op2 = "-";
	    				 }
	    				 else {
	    					 op2 = "+";
	    				 }

	    				 if (k == -1) {
	    					 op3 = "-";
	    				 }
	    				 else {
	    					 op3 = "+";
	    				 }

	    				 break loop;
	    			 }
	    		 }
	    	 }
	    }
	    System.out.println(String.valueOf(a) + op1 + String.valueOf(b) + op2 + String.valueOf(c) + op3 + String.valueOf(d) + "=7");
	}
}