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>
#include<math.h>
#include<string.h>

/*
文字の読み込み

何種類の文字があるか確かめる  O(N)
0出ない部分を取り出す
昇順にソート
counter = 0;
n = num - K
while(n>0){
    counter = 
    n--
}
*/
long long l[1000];



int main(void){
    int a,b,c,d,bit,val=0;
    char op1,op2,op3,_a,_b,_c,_d;
    scanf("%c%c%c%c",&_a,&_b,&_c,&_d);
    a = (int)_a-48;
    b = (int)_b-48;
    c = (int)_c-48;
    d = (int)_d-48;
    for(bit=0;bit<(1<<3);++bit){
        if(bit&1){
            val = a+b;
            op1 ='+';
        }else{
            val = a-b;
            op1 = '-';
        }
        if(bit&(1<<1)){
            val += c;
            op2 = '+';
        }else{
            val -=c;
            op2 = '-';
        }
        if(bit&(1<<2)){
            val+=d;
            op3 = '+';
        }else{
            val-=d;
            op3 = '-';
        }
        if(val == 7){
            printf("%d%c%d%c%d%c%d=7\n",a,op1,b,op2,c,op3,d);
            break;
        }
    }
    
    return 0;
}