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.Scanner;

public class Main{

	public static void main(String[] args) {
		Main main=new Main();
		main.run();
	}

	void run() {

		Scanner sc=new Scanner(System.in);

		String input =sc.next();

		int gyoukan=input.length()-1;

		//三つの隙間に＋か－を入れて、7になる式をつくる。
		//bit列をつくって0を－、1を＋に対応させる。

		for(int bitretu=0;bitretu<(1<<gyoukan);bitretu++) {


			int sum=0;

			//今右から何桁目を指しているかを管理するための変数。
			for(int pointer=0;pointer<gyoukan;pointer++) {

				int a=input.charAt(gyoukan-pointer)-'0';

				if((bitretu>>pointer)%2==0) {
					sum-=a;
				}else {
					sum+=a;
				}

			}

			//一番左は毎回足し算する。
			sum+=(input.charAt(0)-'0');


			//1234
			//gyoukan=3;
			if(sum==7) {
				String result="";

				for(int pointer=0;pointer<gyoukan;pointer++) {

					result=input.substring(input.length()-1-pointer,input.length()-pointer)+result;

					if((bitretu>>pointer)%2==0) {
						result="-"+result;
					}else {
						result="+"+result;
					}

				}

				result=input.substring(0,1)+result+"=7";

				System.out.println(result);
				break;

			}

		}

	}






}