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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>

int main() {
	int a[4];
	char s[5];
	std::cin >> s;
	for (int i = 0; i < 4; i++) {
		a[i] = s[i] - '0';
	}

	int x;
	for (int i = 0; i < 1 << 3; i++) {
		x = a[0];
		for (int j = 0; j < 3; j++) {
			if ((i & 1 << j) != 0) {
				x += a[j + 1];
			}
			else {
				x -= a[j + 1];
			}
		}
		if (x == 7) {
			printf("%d", a[0]);
			for (int j = 0; j < 3; j++) {
				if ((i & 1 << j) != 0)printf("+");
				else printf("-");
				printf("%d", a[j + 1]);
			}
			printf("=7");
			return 0;
		}
	}
}