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: Wrong Answer)

//inlclude前用define 
#define _USE_MATH_DEFINES

//include
#include<iostream>
#include<string>
#include<algorithm>
#include<vector>
#include<cmath>
#include<type_traits>
#include<numeric>
//#include<deque>
#include<iomanip>
#include<set>
#include<tuple>
#include<map>

using namespace std;

//typedef
typedef vector<int> VI;
typedef vector<string> VS;
typedef vector<char> VC;
typedef long long int ll;

//define
#define INF 1e9 
#define NUM 1000000007
#define all(x) begin(x), end(x)
#define rep(i,n) for(int i=0;i<(int)(n);i++)

bool dfs(int cnt, int sum,string sym);
string ans_s,s,sym;

int main() {
	cin >> s;
	int i = 0,sum=0;

	if (dfs(i, sum, sym)) {
		cout << s[0];
		for (int i = 1; i < 4; i++) {
			cout << ans_s[i] << s[i];
		}
		cout << "\n";
	}
	return 0;
}

bool dfs(int cnt, int sum,string sym) {
	if (cnt==4) {
		ans_s = sym;
		return sum == 7;
	}
	int num = s[cnt] - '0';
	//cout << ans_s << endl;
	if (dfs(cnt + 1, sum + num, sym + "+")) return true;
	if (dfs(cnt + 1, sum - num, sym + "-")) return true;
	return false;
}