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 <bits/stdc++.h>
using namespace std;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define reps(i, n, m) for (int i = (int)(n); i <= (int)(m); i++)
#define all(obj) (obj).begin(), (obj).end()
#define rall(obj) (obj).rbegin(), (obj).rend()
#define collect(arr, size) rep(i,size) cin >> arr[i];
#define int long long

inline int ctoi(char c){
    return c - '0';
}

signed main(){
    string s; cin >> s;

    bitset<3> b;
    rep(i,1<<3){
        b = i;
        int ans = ctoi(s[0]);
        rep(j,3){
            if(b[j]){
                ans += ctoi(s[j+1]);
            }else{
                ans -= ctoi(s[j+1]);
            }
        }
        
        if(ans == 7){
            cout << s[0];
            rep(j,3){
                cout << (b[j] ? '+' : '-') << s[j+1];
            }
            cout << "=7" << endl;
            break;
        }
    }
    
}