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 Scala (2.11.7) (judge verdict: Runtime Error)

import java.util.Scanner

object Main {
  def main(args: Array[String]): Unit = {
    val sc = new Scanner(System.in)
    val numbers = sc.nextLine.split("").map(_.toInt)

    var ans: String = numbers.head.toString

    def go(num: Array[Int], sumValue: Int, res: String): Boolean = {
      if (num.isEmpty) {
        if (sumValue == 7) {
          ans += res + "=7"
          true
        }
        else false
      } else {
        go(num.tail, sumValue + num.head, Array(res, "+", num.head.toString).mkString("")) |
          go(num.tail, sumValue - num.head, Array(res, "-", num.head.toString).mkString(""))
      }
    }

    go(numbers.tail, numbers.head, "")
    println(ans)
  }
}