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 Kotlin (1.0.0) (judge verdict: Accepted)

fun main(args: Array<String>) {
    val (a, b, c, d) = readInputLine().toCharArray().map { it.toString().toInt() }
    
    for (i in 0..1) {
        for (j in 0..1) {
            for (k in 0..1) {
                var ans = a
                if (i == 0) {
                    ans += b
                } else {
                    ans -= b
                }
                if (j == 0) {
                    ans += c
                } else {
                    ans -= c
                }
                if (k == 0) {
                    ans += d
                } else {
                    ans -= d
                }
                
                if (ans != 7) {
                    continue
                }
                
                print(a)
                print(opToString(i))
                print(b)
                print(opToString(j))
                print(c)
                print(opToString(k))
                print(d)
                println("=7")
                
                return
            }
        }
    }
}
 
fun readInputLine(): String {
    return readLine()!!
}

fun opToString(op: Int): Char {
    if (op == 0) {
        return '+'
    } else {
        return '-'
    }
}