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Bookshelves, JAVA Programming

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A library decides buy bookshelves to store its books and they need to determine the bookshelves’ heights
and widths in order to minimize storage costs. The books in the library have n different heights: h1,
h2, . . . , hn. Let li be the number of books of height hi (i = 1, 2, . . . , n) in the library. Let’s suppose
that all the books have the same thickness of 1 centimeter and have the same width.
The bookshelves can have different heights and widths but they have the same depth which is the
width of the book. Ignoring the book heights, a bookshelf to store k books need to have the width of
at least k centimeter as each book is 1 centimeter thick.
A bookshelf of height hi can be used to store books of height hi or smaller. The cost for a bookshelf
with width x and height hi is fi + cix, where fi is a height-dependent cost which is independent of the
width, and ci is the height-dependent cost per one centimeter width.
Your task is to write a program to determine the minimum cost of shelving all the books.
Input
The input file consists of several data sets. The first line of the input file contains the number of data
sets which is a positive integer and is not bigger than 20. The following lines describe the data sets.
Each data set consists of five lines. The first line contains the number of book heights, n (2 = n =
10000). On the second line, there are exactly n integers hi (i = 1, . . . , n) separated by spaces. On the
third line, there are exactly n integers li (i = 1, . . . , n) separated by spaces. On the fourth line, there
are exactly n integers fi (i = 1, . . . , n) separated by spaces. The last line consists of exactly n integers
ci (i = 1, . . . , n) separated by spaces.
Output
For each data set, write in one line the minimum total cost of shelving all the books.inimum 100 words accepted#

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