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<iostream>
#include<vector>
#include<cstdio>
#include<string>
#include<numeric>
#include<algorithm>
#include<complex>
#include<queue>
#include<stdlib.h>
#include<map>
#include<cmath>
#include<stdio.h>
#include<stdlib.h>
#include<set>

#define ll long long int
#define MOD 1000000007

using namespace std;

int main(){
    int N;
    cin >> N;
    vector<int> vec(4);
    for(int i=0;i<4;i++){
        vec[3-i]=N%10;
        N/=10;
    }
    int i,j,k;
    int ans=0;
    for(i=0;i<2;i++){
        for(j=0;j<2;j++){
            for(k=0;k<2;k++){
                if(i%2==1){
                    ans=vec[0]+vec[1];
                }
                else{
                    ans=vec[0]-vec[1];
                }
                if(j%2==1){
                    ans+=vec[2];
                }
                else{
                    ans-=vec[2];
                }
                if(k%2==1){
                    ans+=vec[3];
                }
                else{
                    ans-=vec[3];
                }
                if(ans==7){
                    cout << vec[0];
                    if(i%2==1){
                        cout << "+";
                    }
                    else{
                        cout << "-";
                    }
                    cout << vec[1];
                    if(j%2==1){
                        cout << "+";
                    }
                    else{
                        cout << "-";
                    }
                    cout << vec[2];
                    if(k%2==1){
                        cout << "+";
                    }
                    else{
                        cout << "-";
                    }
                    cout << vec[3] << "=" << 7 << endl;;
                    return 0;
                }
            }
        }
    }
    return 0;
}