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Merge sort is a sorting technique based on divide and conquer technique. With worst-case time complexity being Ο(n log n), it is one of the most respected algorithms. Merge sort first divides the array into equal halves and then combines them in a sorted manner.

How Merge Sort Works? To understand merge sort, we take an unsorted array as the following − We know that merge sort first divides the whole array iteratively into equal halves unless the atomic values are achieved. We see here that an array of 8 items is divided into two arrays of size 4. This does not change the sequence of appearance of items in the original. Now we divide these two arrays into halves. We further divide these arrays and we achieve atomic value which can no more be divided. Now, we combine them in exactly the same manner as they were broken down.

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Please note the color codes given to these lists. We first compare the element for each list and then combine them into another list in a sorted manner. We see that 14 and 33 are in sorted positions. We compare 27 and 10 and in the target list of 2 values we put 10 first, followed by 27.

We change the order of 19 and 35 whereas 42 and 44 are placed sequentially. In the next iteration of the combining phase, we compare lists of two data values, and merge them into a list of found data values placing all in a sorted order. After the final merging, the list should look like this − Now we should learn some programming aspects of merge sorting. Algorithm Merge sort keeps on dividing the list into equal halves until it can no more be divided.

By definition, if it is only one element in the list, it is sorted. Then, merge sort combines the smaller sorted lists keeping the new list sorted too. Step 1 − if it is only one element in the list it is already sorted, return. Step 2 − divide the list recursively into two halves until it can no more be divided. Step 3 − merge the smaller lists into new list in sorted order. Pseudocode We shall now see the pseudocodes for merge sort functions.

As our algorithms point out two main functions − divide & merge. Merge sort works with recursion and we shall see our implementation in the same way. Procedure mergesort( var a as array ) if ( n == 1 ) return a var l1 as array = a[0]. A[n/2] var l2 as array = a[n/2+1]. A[n] l1 = mergesort( l1 ) l2 = mergesort( l2 ) return merge( l1, l2 ) end procedure procedure merge( var a as array, var b as array ) var c as array while ( a and b have elements ) if ( a[0] > b[0] ) add b[0] to the end of c remove b[0] from b else add a[0] to the end of c remove a[0] from a end if end while while ( a has elements ) add a[0] to the end of c remove a[0] from a end while while ( b has elements ) add b[0] to the end of c remove b[0] from b end while return c end procedure To know about merge sort implementation in C programming language, please.

Date: Sun, 22 Apr 2012 17:33:30 +0200 [ (text/plain, inline)] severity 670040 normal stop On 22.04.12 Juhapekka Tolvanen (juhtolv@iki.fi) wrote: Hi, > Package: texlive-latex-extra > Version: 202-1 > Severity: grave > This is overdone. Just b/c you found a single program in texlive-latex-extra not working, doesn't mean it is completely useless. >% java -jar /usr/share/texlive/texmf-dist/scripts/pax/pax.jar kilinorganisaatio.pdf > Exception in thread 'main' java.lang.NoClassDefFoundError: org/pdfbox/cos/ICOSVisitor > AFAICT the problem in the moment is: the pdfbox package in Debian unstable delivers a too recent pdfbox lib, pax is not able to use it. Please read (I'm pretty sure it is packaged in Debian). Does this help you?

-- sigmentation fault [ (application/pgp-signature, inline)]. Date: Mon, 23 Apr 2012 08:23:57 +0200 Hi Norbert, On Mon, Apr 23, 2012 at 08:05:32AM +0900, Norbert Preining wrote: > we got a bug report in Debian that pax does not work, and the > reason is that pdfbox is much newer in Debian, namely 1.6.0 from > Apache: > > On So, 22 Apr 2012, Hilmar Preusse wrote: > > (I'm > > Interesting.

Pdfbox in Debian is the one from apache > > while pax uses the one from > pdfbox.org > which is an empty wordpress, and one download. I don't know what the > history of that is, maybe pdfbox was later taken over into apache > and further developped. > > I am quite sure that the pdfbox from pdfbox.org will not be > packaged in Debian. > > Heiko, do you see any problem in porting your pax to the recent > pdfbox by apache? Pax works with pdfbox 0.7.2 or 0.7.3.