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++ (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;
int main()
{
char a1,b1,c1,d1;
int ans,a,b,c,d;
cin>>a1>>b1>>c1>>d1;
a=a1-'0';b=b1-'0';c=c1-'0';d=d1-'0';
for(char i='+';i<='-';i++)
    for(char j='+';j<='-';j++)
        for(char k='+';k<='-';k++)
        {
            ans=a;
            if(i=='+') ans+=b;
            else if(i=='-') ans-=b;
            if(j=='+') ans+=c;
            else if(j=='-') ans-=c;
            if(k=='+') ans+=d;
            else if(k=='-') ans-=d;
            if(ans==7)
            {
                cout<<a<<i<<b<<j<<c<<k<<d<<"="<<ans<<"\n";
                return 0;
            }
        }
}