# Problem E

Hardware

Ola Clason’s Hardware store is an old company where most work is done “the old way”. Among other things, the company is the one and only provider of marble house numbers. These house numbers have become extremely popular among construction companies, especially the ones building luxury estates. This is of course great for Ola Clason, but also a small problem. Nisse, who has been managing the incoming orders has turned out to be a bottleneck in Ola’s business. Most orders are on the form “Coconut Drive 200, 202, 204, ..., 220”. This means every even number between $200$ and $220$. Nisse’s work is to transfer an order to a list of necessary digits and other symbols.

Your assignment is to write a program that automates Nisse’s work with orders containing only positive integer house numbers. Nisse will still in the future process all special orders (those including non digit symbols) by hand.

## Input

On the first line of input is a single positive integer $n \le 10$, specifying the number of orders that follow. The first line of each order contains the road name for that order. No road name is longer than $50$ characters. The second line states the total number of buildings needing new marble numbers on that order, at most $1\, 000$.

Then follows the different house number specifications on
several lines. These lines are of two kinds: single number
lines and multiple number lines. A single number line simply
consists of the house number by itself, while a multiple number
line starts with a ‘`+`’-sign, followed
by three positive integer numbers: first number, last number
and the interval between the house numbers. The last number
will always be at least the first number, and the difference
between the first and last house number will always be a
multiple of the house number interval. House numbers are always
positive and never have more than five digits. A house number
may appear more than once in an order, in this case that house
will get multiple signs.

After the last house number specification line, the next order follows, if there is any.

## Output

For each order, the output consists of $13$ lines. The first and second lines
should be identical with the first two input lines. Then, there
follows $10$ lines with
information on how many marble digits of each kind the order
consists of. These rows are on the format “`Make $X$ digit
$Y$`” where
$X$ is how many copies of
digit $Y$ they need to
make. The last row states the total number $Z$ of digits needed, on the format
“`In total $Z$ digits`”. If there is only one
digit to produce, it should say “`In total
$1$ digit`”, in order
to be grammatically correct.

Sample Input 1 | Sample Output 1 |
---|---|

3 Short Street 23 addresses + 101 125 2 275 + 100 900 100 Single Street 1 address 5 Many signs 3 addresses 5 5 5 |
Short Street 23 addresses Make 23 digit 0 Make 22 digit 1 Make 5 digit 2 Make 4 digit 3 Make 1 digit 4 Make 5 digit 5 Make 1 digit 6 Make 4 digit 7 Make 1 digit 8 Make 3 digit 9 In total 69 digits Single Street 1 address Make 0 digit 0 Make 0 digit 1 Make 0 digit 2 Make 0 digit 3 Make 0 digit 4 Make 1 digit 5 Make 0 digit 6 Make 0 digit 7 Make 0 digit 8 Make 0 digit 9 In total 1 digit Many signs 3 addresses Make 0 digit 0 Make 0 digit 1 Make 0 digit 2 Make 0 digit 3 Make 0 digit 4 Make 3 digit 5 Make 0 digit 6 Make 0 digit 7 Make 0 digit 8 Make 0 digit 9 In total 3 digits |