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.*;

class Main  {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		String a=sc.next();
		String[] b = a.split("");
		int[] c = new int[4];
		for (int i=0;i<4;i++) {
			c[i]=Integer.parseInt(b[i]);
		}

		Map<Integer,String> map = new HashMap<Integer,String>();
		map.put(0,"+");
		map.put(1,"-");

		int[] d = new int[3];
		loop:for (Integer i=0;i<2;i++) {
			if (i==0) {
				d[0]=c[0]+c[1];
			}else {
				d[0]=c[0]-c[1];
			}
			for (Integer k=0;k<2;k++) {
				if (k==0) {
					d[1]=d[0]+c[2];
				}else {
					d[1]=d[0]-c[2];
				}
				for (Integer m=0;m<2;m++) {
					if (m==0) {
						d[2]=d[1]+c[3];
						if (d[2]==7) {
							System.out.println(c[0]+map.get(i)+c[1]+map.get(k)+c[2]+map.get(m)+c[3]+"=7");
							break loop;
						}
					}else {
						d[2]=d[1]-c[3];
						if (d[2]==7) {
							System.out.println(c[0]+map.get(i)+c[1]+map.get(k)+c[2]+map.get(m)+c[3]+"=7");
							break loop;
						}
					}
				}
			}
		}
	}
}