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 rep0(i,n) for (int i = 0; i < (n); ++i)
#define rep1(i,n) for (int i = 1; i < (n); ++i)
#define REP(i,a,b) for (int i = a; i < (b); ++i)
#define mREP(i,a,b) for (int i = a; i > (b); --i)
#define all(x) (x).begin(),(x).end()
const int INF = 1000000007;
typedef long long ll;
using namespace std;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
ll gcd(ll a, ll b) { return b ? gcd(b, a%b) : a; }
int main(){
  string s;
  cin >> s;
  rep0(i,(1<<3)){
    bitset<10>t(i);
    int temp = 0;
    temp += (s[0] - '0');
    rep0(j,3){
      if(t.test(j))temp += (s[j+1] - '0');
      else temp -= (s[j+1] - '0');
    }
    if(temp == 7){
      cout << s[0];
      if(t.test(0))cout<<'+';
      else cout<<'-';
      cout << s[1];
      if(t.test(1))cout<<'+';
      else cout<<'-';
      cout << s[2];
      if(t.test(2))cout<<'+';
      else cout<<'-';
      cout << s[3];
      cout << "=7" << endl;
      return 0;
    }
  }
  return 0;
}