Copying Books |
Before the invention of book-printing, it was very hard to make a copy of a book. All the contents had to be re-written by hand by so called scribers. The scriber had been given a book and after several months he finished its copy. One of the most famous scribers lived in the 15th century and his name was Xaverius Endricus Remius Ontius Xendrianus (Xerox). Anyway, the work was very annoying and boring. And the only way to speed it up was to hire more scribers.
Once upon a time, there was a theater ensemble that wanted to play famous
Antique Tragedies. The scripts of these plays were divided into many books and
actors needed more copies of them, of course. So they hired many scribers to
make copies of these books. Imagine you have m books (numbered ) that may have different number
of pages (
) and you want to make one copy of each of them. Your task is to
divide these books among k scribes,
. Each book can be
assigned to a single scriber only, and every scriber must get a continuous
sequence of books. That means, there exists an increasing succession of numbers
such that i-th
scriber gets a sequence of books with numbers between
bi-1+1 and bi. The time needed
to make a copy of all the books is determined by the scriber who was assigned
the most work. Therefore, our goal is to minimize the maximum number of pages
assigned to a single scriber. Your task is to find the optimal assignment.
The input consists of N cases. The first line of the input contains
only positive integer N. Then follow the cases. Each case consists of
exactly two lines. At the first line, there are two integers m and
k, . At the second line, there are integers
separated by spaces. All these values are positive and less than
10000000.
For each case, print exactly one line. The line must contain the input
succession divided into exactly k parts such that the maximum sum of a
single part should be as small as possible. Use the slash character
(`/') to separate the parts. There must be exactly one space character
between any two successive numbers and between the number and the slash.
If there is more than one solution, print the one that minimizes the work
assigned to the first scriber, then to the second scriber etc. But each scriber
must be assigned at least one book.
2 9 3 100 200 300 400 500 600 700 800 900 5 4 100 100 100 100 100
100 200 300 400 500 / 600 700 / 800 900 100 / 100 / 100 / 100 100