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 (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>

int main(void) {
    int n;
    scanf("%d", &n);

    int a = n / 1000;
    n = n % 1000;
    int b = n / 100;
    n = n % 100;
    int c = n / 10;
    n = n % 10;
    int d = n;

    char op[8][3] = {
        {'+', '+', '+'},
        {'-', '+', '+'},
        {'+', '-', '+'},
        {'+', '+', '-'},
        {'-', '-', '+'},
        {'+', '-', '-'},
        {'-', '+', '-'},
        {'-', '-', '-'},
    };

    for (int i = 0; i < 8; i++) {
        int total;
        char op1, op2, op3;
        if (op[i][0] == '+') {
            total = a + b;
            op1 = '+';
        } else {
            total = a - b;
            op1 = '-';
        }

        if (op[i][1] == '+') {
            total = total + c;
            op2 = '+';
        } else {
            total = total - c;
            op2 = '-';
        }

        if (op[i][2] == '+') {
            total = total + d;
            op3 = '+';
        } else {
            total = total - d;
            op3 = '-';
        }

        if (total == 7) {
            printf("%d%c%d%c%d%c%d=7\n", a, op1, b, op2, c, op3, d);
            return 0;
        }
    }

    return 0;
}