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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main {
  public static void main(String[] args) {
    Scanner scanner = new Scanner(System.in);

    char[] s = scanner.next().toCharArray();
    int[] a = new int[4];
    for (int i = 0; i < 4; i++) a[i] = s[i] - '0';
    char[] c = new char[4];
    for (int i = -1; i < 2; i += 2) {
      c[0] = i == -1 ? '-' : '+';
      for (int j = -1; j < 2; j += 2) {
        c[1] = j == -1 ? '-' : '+';
        for (int k = -1; k < 2; k += 2) {
          c[2] = k == -1 ? '-' : '+';
          if (a[0] + i * a[1] + j * a[2] + k * a[3] == 7) {
            System.out.printf("%d%s%d%s%d%s%d=7\n",a[0],c[0],a[1],c[1],a[2],c[2],a[3]);
            return;
          }
        }
      }
    }
  }
}