ARITH - Simple Arithmetics

no tags 

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.

hide comments
top_gun007: 2016-05-21 01:02:24

easy gonna do it under 50

shadow_sphynx: 2016-05-19 19:05:35

wrote 200 lines of code.
tested on my pc, then on ideone.com.

got solutions.

but SPOJ says: wrong answer!

Atleast tell me the inputs it used, so that i can correct my code, know where I am wrong!!!

shashisuman: 2016-05-05 17:24:10

well mine is 100 lines long

imshubhamk: 2016-04-23 17:11:27

finally accepted after a lot of wrong submissions.....
learnt a fact always check your programs output before submitting if u have made a change..
this cost me 2 wrong answers

imshubhamk: 2016-04-18 18:48:32

can anyone pls tell that 200-200 should be 000 or only a single 0????

Dennis Slater: 2016-04-15 21:18:49

Below are input specifications. Does our program have to verify input to make sure that the input given matches those specifications or do we assume the data will obey those specifications?

For example, does my program have to check to see if the input line contains a space?

Each number is positive integer number. (This to me means that there are no zero inputs as in 0*1234 or negative inputs as in -345*34 or 64*-12)
No number will begin with zero. (01234)
Every number has at most 500 digits.
There are no spaces on the line. (2345*_323 or _433-12)
If the operation is subtraction, the second number is always lower than the first one. (34-6 but not 6-34)

aviben: 2016-03-19 22:47:57

will the result of multiplication and addition exceed 500 digits???

irshad: 2016-02-24 11:13:34

@sujit yadav , well... my solution is 154 lines long, ;)

irshad: 2016-02-24 11:11:58

Solved in the second submission, forgot to add the newline after each testcase LOL...

mohitgupta07: 2015-12-27 16:00:05

ugh..can anyone help me?? just tell me how to store 500 digits in a string in java!! :/ :/ my program rung perfectly fine wid proper alignment,just the problem is of NZEC runtime error :/ please help


Added by:adrian
Date:2004-05-08
Time limit:5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL 6 VB.net
Resource:ACM Central European Programming Contest, Prague 2000