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 <stdio.h>

int main(void) 
{
	int i,j,k,ans;
	int a[4]={0};
	int sgn[3]={0};
	for(i=0;i<4;i++)
	scanf("%1d",&a[i]);
	
	for(i=0;i<=1;i++)
		for(j=0;j<=1;j++)
			for(k=0;k<=1;k++)
			{
				if(i==0) sgn[0]=-1; else sgn[0]=1;
				if(j==0) sgn[1]=-1; else sgn[1]=1;
				if(k==0) sgn[2]=-1;	else sgn[2]=1;
				ans=a[0]+sgn[0]*a[1]+sgn[1]*a[2]+sgn[2]*a[3];
				if(ans==7) goto LABEL;
 			}
 			
 	LABEL:
 	
 	printf("%d",a[0]);
 	if(sgn[0]==1) printf("+"); else printf("-");
 	printf("%d",a[1]);
 	if(sgn[1]==1) printf("+"); else printf("-");
 	printf("%d",a[2]);
 	if(sgn[2]==1) printf("+"); else printf("-");
 	printf("%d=7\n",a[3]);
	
	return 0;
}