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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
)

var ans = ""

func main() {
	var s string
	fmt.Scan(&s)
	ar := make([]int, 4)

	for i, v := range s {
		ar[i] = int(v - '0')
	}
	f(0, ar[0], s[0:1], ar)
	fmt.Println(ans)
}

func f(n, sum int, s string, ar []int) {
	if n == 3 {
		if sum == 7 {
			ans = s + "=7"
		}
		return
	}
	f(n+1, sum+ar[n+1], s+"+"+fmt.Sprintf("%d", ar[n+1]), ar)
	f(n+1, sum-ar[n+1], s+"-"+fmt.Sprintf("%d", ar[n+1]), ar)
}