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 <iostream>
#include <string>
#include <algorithm>
#include <utility>
#include <iomanip>
#include <functional>
#include <queue>
#include <stack>
#include <cmath>
#include <numeric>
#define INF 100000000
#define MOD 1000000007
using namespace std;


int main(){
    int a[4];
    for(int i=0; i<4; i++){
        char c;
        cin >> c;
        a[i]=c-'0';
    }
    
    for(int i=0; i<2; i++){
        for(int k=0; k<2; k++){
            for(int m=0; m<2; m++){
                
                int b[4];
                b[0]=a[0];
                b[1]=a[1];
                b[2]=a[2];
                b[3]=a[3];
                
                if(i){b[1]*=-1;}
                if(k){b[2]*=-1;}
                if(m){b[3]*=-1;}
                
                if(b[0]+b[1]+b[2]+b[3]==7){
                    cout<<b[0];
                    for(int s=1; s<4; s++){
                        if(b[s]>=0){
                            cout<<'+';
                        }
                        cout<<b[s];
                    }
                    cout<<"=7";
                    cout<<endl;
                    return 0;
                    
                }
                
            }
        }
    }
    
    return 0;
}