BOOKS1  Copying Books
Before the invention of bookprinting, it was very hard to make a copy of a book. All the contents had to be rewritten 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 1, 2 ... m) that may have different number of pages (p_{1}, p_{2} ... p_{m}) and you want to make one copy of each of them. Your task is to divide these books among k scribes, k <= m. 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 0 = b_{0} < b_{1} < b_{2}, ... < b_{k1} <= b_{k} = m such that ith scriber gets a sequence of books with numbers between b_{i1}+1 and b_{i}. 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.
Input
The input consists of N cases (equal to about 200). 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, 1 <= k <= m <= 500. At the second line, there are integers p_{1}, p_{2}, ... p_{m} separated by spaces. All these values are positive and less than 10000000.
Output
For each case, print exactly one line. The line must contain the input succession p_{1}, p_{2}, ... p_{m} 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.
Example
Sample input: 2 9 3 100 200 300 400 500 600 700 800 900 5 4 100 100 100 100 100 Sample output: 100 200 300 400 500 / 600 700 / 800 900 100 / 100 / 100 / 100 100
hide comments
ojvietnam:
20180606 08:28:45
:3 

shpek_i_luk42:
20171112 21:57:02
Last edit: 20171113 09:15:41 

morino_hikari:
20170805 04:57:21
@khanhpqbk, You can try to do a greedy collection of the elements (until the next one cannot be collected because of the maximal value you have obtained or there is less elements than the scribers)from the end of the sequence to the beginning. That will be of help. 

gboduljak:
20170425 19:48:31
array partitioning is cool part, nice problem :) 

gautam:
20170201 22:03:01
nice problem.. 

Rakend Chauhan:
20161216 00:34:45
Last edit: 20161217 00:56:50 

manas0008:
20161018 18:24:34
during binary search add the condition where each element(pi) is greater than mid and also start checking from i=0 not from i=1 by taking the first element during binary search. 

mohamednabil97:
20160914 00:38:18
Check your upperbound when doing binary search! caused me a few WA.


khanhpqbk:
20160720 06:15:45
can anyone explain the true way to print out the output? i find it hard to produce correct output even after getting the right biggest sum (e.g 1700 in case #1 and 200 in case #2) 

manas0008:
20160206 19:08:10
Do not go to topcoder binary search tutorial ;D 
Added by:  adrian 
Date:  20040606 
Time limit:  5s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All 
Resource:  ACM Central European Programming Contest, Prague 1998 