ARITH  Simple Arithmetics
One part of the new WAP portal is also a calculator computing expressions with very long numbers. To make the output look better, the result is formated the same way as is it usually used with manual calculations.
Your task is to write the core part of this calculator. Given two numbers and the requested operation, you are to compute the result and print it in the form specified below. With addition and subtraction, the numbers are written below each other. Multiplication is a little bit more complex: first of all, we make a partial result for every digit of one of the numbers, and then sum the results together.
Input
There is a single positive integer T on the first line of input (equal to about 1000). It stands for the number of expressions to follow. Each expression consists of a single line containing a positive integer number, an operator (one of +,  and *) and the second positive integer number. Every number has at most 500 digits. There are no spaces on the line. If the operation is subtraction, the second number is always lower than the first one. No number will begin with zero.
Output
For each expression, print two lines with two given numbers, the second number below the first one, last digits (representing unities) must be aligned in the same column. Put the operator right in front of the first digit of the second number. After the second number, there must be a horizontal line made of dashes ().
For each addition or subtraction, put the result right below the horizontal line, with last digit aligned to the last digit of both operands.
For each multiplication, multiply the first number by each digit of the second number. Put the partial results one below the other, starting with the product of the last digit of the second number. Each partial result should be aligned with the corresponding digit. That means the last digit of the partial product must be in the same column as the digit of the second number. No product may begin with any additional zeros. If a particular digit is zero, the product has exactly one digit  zero. If the second number has more than one digit, print another horizontal line under the partial results, and then print the sum of them.
There must be minimal number of spaces on the beginning of lines, with respect to other constraints. The horizontal line is always as long as necessary to reach the left and right end of both numbers (and operators) directly below and above it. That means it begins in the same column where the leftmost digit or operator of that two lines (one below and one above) is. It ends in the column where is the rightmost digit of that two numbers. The line can be neither longer nor shorter than specified.
Print one blank line after each test case, including the last one.
Example
Sample Input:
4 12345+67890 324111 325*4405 1234*4
Sample Output:
12345 +67890  80235 324 111  213 325 *4405  1625 0 1300 1300  1431625 1234 *4  4936Warning: large Input/Output data, be careful with certain languages.
hide comments
Tomasz Gandor:
20140131 09:44:38
I have one additional test, which I needed to figure out, once I had candide's tests working correctly:


Bhavya:
20140110 17:59:46
solved but its giving WRONG ANSWER here....please help me out...i am unable to find out the error.....please somebody check this.. id 10841572 

Sameer Srivastava:
20140110 10:00:05
Astounding..!!!!


amin ababneh:
20131207 21:55:11
time limit exceeded :( iam really out of ideas on how to fix this


lzyerste:
20131126 18:40:05
I solved in python3. Be careful with dashes. Thanks very much for the data sets mentioned by @candide 

Sourabh Verma:
20131101 13:41:52
How big a number actually can be? I used int. Question says max 500 digits, but I assumed its just another overhyped statement. Do they really test 500 digit numbers? Other than that, my solution is correct, but I get wrong answer 

Kartik Srivastava:
20130909 06:33:40
Solved the problem. Getting correct output on my laptop. Taken care of formatting and cases like 000 to 0 and 0*45. But SPOJ, doesn't accept and give a SIGSEV error. Could somebody please check ID10007021. I've used C++. 

Vaibhav Agarwal:
20130711 12:16:59
nice question!!


candide:
20130705 23:15:13
Examples from the problem statement are badly chosen and don't illustrate the counterintuitive placement and length of the horizontal separator. Addition or subtraction examples provide operands with same length but this is not a problem requirement.


Poornima.K.S:
20130624 11:28:27
is the output of 1010 printed as 00 or just 0? 
Added by:  adrian 
Date:  20040508 
Time limit:  5s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 VB.NET 
Resource:  ACM Central European Programming Contest, Prague 2000 