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>
#define INF 1e18
#define int long long
#define Rep(i, a, n) for (int i = (a); i < (n); i++)
#define rep(i, n) Rep(i, 0, n)
#define all(a) (a).begin(), (a).end()
using namespace std;
typedef pair<int, int> P;
typedef pair<int, P> PP;
const int mod = 1000000007;

int a[4];

bool calc(int bit)
{
    int num = a[0];
    rep(i, 3)
    {
        if (bit & (1 << i))
            num += a[i + 1];
        else
            num -= a[i + 1];
    }
    if (num == 7)
    {
        cout << a[0];
        rep(i, 3)
        {
            if (bit & (1 << i))
                cout << "+";
            else
                cout << "-";
            cout << a[i + 1];
        }
        cout << "=7" << endl;
        return true;
    }
    return false;
}

signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);

    string s;
    cin >> s;
    rep(i, 4) a[i] = s[i] - '0';
    for (int i = 0; i < (1 << 3); i++)
        if (calc(i))
            return 0;
}