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 <cstdio>
#include <bits/stdc++.h>
#include <algorithm>
#include <iostream>
#include <string>
#include <cmath>
#include <functional>
#include <vector>
#include <stack>
#include <queue>
#include <map>
#define rep(i,n) for (int i=0;i<n;i++)
using ll = long long;
using namespace std;

void solve(){

}
int main (){
    ios::sync_with_stdio(0);
    cin.tie(0);

    int x;
    cin >> x;
    int a,b,c,d;
    a = x/1000;
    b = (x-1000*a)/100;
    c = (x-1000*a-100*b)/10;
    d = (x-1000*a-100*b-10*c);

    rep(i,2){
        if(i){
            rep(j,2){
                if(j){
                    rep(l,2){
                        if(l){
                            if(a+b+c+d==7){
                                cout << a<< "+"<<b<<"+"<<c<<"+"<<d<<"="<<7;
                                return 0;
                            }
                        }
                        else{
                            if(a-b+c+d==7){
                                cout << a<< "-"<<b<<"+"<<c<<"+"<<d<<"="<<7;
                                return 0;
                            }
                        }
                    }
                }
                else{
                    rep(l,2){
                        if(l){
                            if(a+b-c+d==7){
                                cout << a<< "+"<<b<<"-"<<c<<"+"<<d<<"="<<7;
                                return 0;
                            }
                        }
                        else{
                            if(a-b-c+d==7){
                                cout << a<< "-"<<b<<"-"<<c<<"+"<<d<<"="<<7;
                                return 0;
                            }
                        }
                    }
                }
            }
        }
        else{
            rep(j,2){
                if(j){
                    rep(l,2){
                        if(l){
                            if(a+b+c-d==7){
                                cout << a<< "+"<<b<<"+"<<c<<"-"<<d<<"="<<7;
                                return 0;
                            }
                        }
                        else{
                            if(a-b+c-d==7){
                                cout << a<< "-"<<b<<"+"<<c<<"-"<<d<<"="<<7;
                                return 0;
                            }
                        }
                    }
                }
                else{
                    rep(l,2){
                        if(l){
                            if(a+b-c-d==7){
                                cout << a<<"+"<<b<<"-"<<c<<"-"<<d<<"="<<7;
                                return 0;
                            }
                        }
                        else{
                            if(a-b-c-d==7){
                                cout << a<< "-"<<b<<"-"<<c<<"-"<<d<<"="<<7;
                                return 0;
                            }
                        }
                    }
                }
            }
        }
    }
    return 0;
}