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: Wrong Answer)

package main

import (
    "fmt"
    "strconv"
)

func main() {
    var bs []byte
    fmt.Scan(&bs)
    is := make([]int, 4)
    for i := 0; i < 4; i++ {
        is[i], _ = strconv.Atoi(string([]byte{bs[i]}))
    }
    for i := 0; i < 8; i++ {
        ans := []byte{bs[0]}
        sum := is[0]
        if i%2 == 0 {
            sum += is[1]
            ans = append(ans, []byte{'+', bs[1]}...)
        } else {
            sum -= is[1]
            ans = append(ans, []byte{'-', bs[1]}...)
        }
        if i%4 == 0 || i%4 == 1 {
            sum += is[2]
            ans = append(ans, []byte{'+', bs[2]}...)
        } else {
            sum -= is[2]
            ans = append(ans, []byte{'-', bs[2]}...)
        }
        if i < 4 {
            sum += is[3]
            ans = append(ans, []byte{'+', bs[3]}...)
        } else {
            sum -= is[3]
            ans = append(ans, []byte{'-', bs[3]}...)
        }
        if sum == 7 {
            fmt.Printf("%s\n", ans)
            break
        }
    }
}