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) {
		Main main = new Main();
		main.run();
	}



	public void run() {
		Scanner sc = new Scanner(System.in);
		String abcd = sc.next();
		int a = Integer.parseInt(abcd.substring(0, 1));
		int b = Integer.parseInt(abcd.substring(1, 2));
		int c = Integer.parseInt(abcd.substring(2, 3));
		int d = Integer.parseInt(abcd.substring(3, 4));

		for(int v=0; v<=36; v++) {
			int wa=a;
			int wb=b;
			int wc=c;
			int wd=d;
			for(int i=0; i<2; i++) {
				wb=-wb;
				for(int j=0; j<2; j++) {
					wc=-wc;
					for(int k=0; k<2; k++) {
						wd=-wd;
						if(wa+wb+wc+wd==v) {
							System.out.print(a);
							String sign="+";
							if(wb<0) {
								sign="-";
							} else {
								sign="+";
							}
							System.out.print(sign);
							System.out.print(b);
							if(wc<0) {
								sign="-";
							} else {
								sign="+";
							}
							System.out.print(sign);
							System.out.print(c);
							if(wd<0) {
								sign="-";
							} else {
								sign="+";
							}
							System.out.print(sign);
							System.out.print(d);
							System.out.println("="+v);
							sc.close();
							return;
						}
					}
				}
			}
		}
		sc.close();
	}

}