ARITH - Simple Arithmetics

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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
324-111
325*4405
1234*4

Sample Output:

 12345
+67890
------
 80235

 324
-111
----
 213

    325
  *4405
  -----
   1625
     0
 1300
1300
-------
1431625

1234
  *4
----
4936
Warning: large Input/Output data, be careful with certain languages.

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`Pretty♥^` Cloud`: 2011-04-07 07:24:15

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

length("-----...") = max length of its previous line and successive line

cegprakash: 2011-02-16 12:23:10

is the output for 100000*10 is

_100000
____*10
____---
______0
100000
-------
1000000

(or)

_100000
____*10
_------
______0
100000
-------
1000000

???

:D: 2011-02-15 18:29:47

0000 is not a valid decimal number!

Saurabh Manchanda: 2011-01-20 18:51:33

What would be the output for say 1234-1234 ? Would it be 0000 or 0 ?

:D: 2010-12-31 08:57:53

"...the last digit of the partial product must be in the same column as the digit of the second number". It's just like I was writing in the previous comment: the problem is described correctly, but people don't read it carefully.

Last edit: 2010-12-31 08:58:08
królik: 2010-12-31 08:35:57

100000*10
should it be formatted like this:

100000
___*10
------
1000000

or like this:

_100000
____*10
-------
1000000

?

(damn, there should be a monospaced font in here)

Last edit: 2010-12-31 08:38:36
Love Kumar: 2010-12-17 22:24:55

easy task in shell but hard in formatting....

:D: 2010-11-21 10:12:49

I would say it's explained in detail (maybe it was edited at some point). The only things that could be unclear are whitespaces (but for me that was also correctly described). There musn't be any columns that contain only whitespaces (the whole printout must be left aligned) You also can't print any additional spaces, tabs at the end of each line. Every line must end with the last non-white character.

If you're still having problems, it's pretty easy to find official test cases on the net and check with them.

Last edit: 2012-10-05 17:44:07
Guillaume Lemaître: 2009-10-17 07:25:54

The formatting issue is not well explained in the examples, and is discouraging!

[Trichromatic] XilinX: 2009-04-05 02:20:48

Yes. The format of the output is quite tricky :-)


Added by:adrian
Date:2004-05-08
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