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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;

int main() {
    int r, t, i;
    char A[4];
    scanf("%c%c%c%c", &A[0], &A[1], &A[2], &A[3]);
    A[0] -= '0';
    A[1] -= '0';
    A[2] -= '0';
    A[3] -= '0';
    for (r = 0; r < 8; ++r) {
        t = A[0];
        for (i = 0; i < 3; ++i) t += A[i + 1] * ((r & (1 << i)) ? -1 : 1);
        if (t == 7) {printf("%d%c%d%c%d%c%d=7\n", A[0], ((r & 1) ? '-' : '+'), A[1], ((r & 2) ? '-' : '+'), A[2], ((r & 4) ? '-' : '+'), A[3]); return 0;}
    }
}