17 10 s 128 MB

An educational software company, All Computer Math (ACM), has a section on multiplication of integers. They want to display the calculations in the traditional grade school format, like the following computation of

432

5678

-------

3456

3024

2592

2160

-------

2452896

Note well that the final product is printed without any leading spaces, but that leading spaces are necessary on some of the other lines to maintain proper alignment. However, as per our regional rules, there should *never* be any lines with *trailing* white space. Note that the lines of dashes have length matching the final product.

As a special case, when one of the digits of the second operand is a zero, it generates a single 0 in the partial answers, and the next partial result should be on the *same*line rather than the next line down. For example, consider the following product of

200001

90040

-----------

8000040

180000900

-----------

18008090040

The rightmost digit of the second operand is a 0, causing a 0 to be placed in the rightmost column of the first partial product. However, rather than continue to a new line, the partial product of

As a final special case, if there is only one line in the partial answer, it constitutes a full answer, and so there is no need for computing a sum. For example, a computation of

246

70

-----

17220

Your job is to generate the solution displays.

The input contains one or more data sets. Each data set consists of two positive integers on a line, designating the operands in the desired order. Neither number will have more than 6 digits, and neither will have leading zeros. After the last data set is a line containing only

For each data set, output a label line containing

Warning: A standard int type cannot properly handle 12-digit numbers. You should use a 64-bit type (i.e., a `long` in Java, or a `long long` in C++).

## Sample Input | ## Sample Output |
---|---|

432 5678 200001 90040 246 70 0 0 | Problem 1 432 5678 ------- 3456 3024 2592 2160 ------- 2452896 Problem 2 200001 90040 ----------- 8000040 180000900 ----------- 18008090040 Problem 3 246 70 ----- 17220 |