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 (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
#include <string.h>

char s[4];

int get(int mask) {
	int ans = s[0] - '0';
	for (int i = 0; i < 3; i++)
		ans += (s[i + 1] - '0') * (((mask >> i) & 1) ? -1 : +1);
	return ans;
}

void print(int mask) {
	printf("%c", s[0]);
	for (int i = 0; i < 3; i++) {
		printf("%c%c", (((mask >> i) & 1) ? '-' : '+'), s[i + 1]);
	}
	printf("=7");
	return;
}

int main() {
	scanf("%s", s);
	for (int mask = 0; mask < 8; mask++)
		if (get(mask) == 7)
			return print(mask), 0;
	return 0;
}