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"
        "strings"
        "strconv"
)
func main() {
        var in string
        fmt.Scan(&in)
        abcd := strings.Split(in, "")
        for bits:=0; bits<(1<<uint64(4)); bits++ {
                r := 0
                res := make([]string, 4)
                for i:=0; i<4; i++ {
                        v, _ := strconv.Atoi(abcd[i])
                        if (bits>>uint64(i))&1 == 1 {
                                r += v
                                res[i]="+"
                        } else {
                                r -= v
                                res[i]="-"
                        }
                }
                if r == 7 {
                        fmt.Printf("%s%s%s%s%s%s%s=7\n", abcd[0], res[1], abcd[1], res[2], abcd[2], res[3], abcd[3])
                        break
                }
        }
}