TweetFollow Us on Twitter

Oct 93 Challenge
Volume Number:9
Issue Number:10
Column Tag:Programmers’ Challenge

Programmers’ Challenge

By Mike Scanlin, MacTech Magazine Regular Contributing Author

Note: Source code files accompanying article are located on MacTech CD-ROM or source code disks.

ASCII85 ENCODING

This month we have a straightforward computation challenge: Write a fast ASCII85 encoder. What’s that, you ask? It’s a method of encoding binary data as ASCII characters so that it can be put into things that understand ASCII but not binary data (e-mail messages, for example). It’s also one possible format that EPS files are stored in. If you want your application to be EPS-friendly then you’ll need this routine (as well as the corresponding decoder, which is not part of this challenge).

Here’s how it works: Every 4 bytes of binary data input results in 5 bytes of ASCII character output in the range ! through u. A newline character (0x0D) is inserted in the ASCII output at least once every 80 characters to limit the length of lines. When you have encoded all the binary data, you write out ~> as an end-of-data marker.

More precisely, each set of binary input bytes (b1, b2, b3, b4) produces a set of encoded ASCII characters (c1, c2, c3, c4, c5) such that:

(b1 * 2563) + (b2 * 2562) + (b3 * 256) + b4 =
(c1 * 854) + (c2 * 853) + (c3 * 852) + (c4 * 85) + c5

So, the 4 bytes of binary data are a base-256 number that are converted into 5 bytes of a base-85 number. The 5 digits of this number (c1..c5) are then converted to ASCII by adding 33, the ASCII code of !. ASCII characters in the range of ! to u are used, where ! represents the value 0 and u represents the value 84. There is one special case where if all 5 digits are zero they are encoded as a single character z instead of !!!!!.

If the size of the input binary data is not a multiple of 4 then the final set of output bytes are created by taking the n input bytes (1, 2 or 3) and padding with 4-n zero bytes and then converting the result to ASCII85 normally but without applying the special z case. Then, write out n+1 bytes of the resulting ASCII85 data, followed immediately by the ~> marker. This allows an ASCII85 decoder to know the actual number and values of all real input bytes.

The prototype of the function you write is:

void ASCII85Encode(inputPtr, 
 numInputBytes, outputPtr, 
 numOutputBytesPtr)
char    *inputPtr;
unsigned long    numInputBytes;
char    *outputPtr;
unsigned long    *numOutputBytesPtr;

The inputPtr and numInputBytes describe the binary data input (numInputBytes will average about 64K). You fill the buffer pointed to by outputPtr with the ASCII85 data you create. The buffer is allocated for you and is big enough to handle the worst case output, given numInputBytes. You set *numOutputBytesPtr equal to the total number of bytes you put in the buffer (including the 2 for the end-of-data marker).

TWO MONTHS AGO WINNER

Perhaps I should re-emphasize that correctness is the first criteria for a winning solution. I had to disqualify 6 out of the 17 entries I received for the Replace All challenge because they lacked correctness. Be sure to test your entries with a range of inputs, please, if you’re serious about wanting to win.

Of the 11 who survived my test suite (which was not really that severe) there were four that were very close in speed. The one who came out a little faster than the others most of the time was from Tom Elwertowski (Cambridge, MA) who makes the observation that if the replacement length is not greater than the source length then you can replace strings as you find them; otherwise you have to find all the matches in a first pass and then do a second pass to make the actual replacements (back to front). Bill Karsh (location unknown) deserves mention for coming in fastest almost as often as Tom when the replacement string was equal to or shorter than the source string. However, for some cases where the replacement string was longer than the source string his code was near the bottom of the pack (the times given below are average times for all test cases).

A couple of people were quick to realize that the ROM’s Munger trap could be used to solve this puzzle. However as the table below shows, it’s possible to do much better, in terms of speed, if you don’t use Munger (‘*’ = an entry that used Munger for at least part of the solution; ‘**’ = an entry that was all Munger). Using Munger does make for small code though.

Here are the average times and sizes (numbers in parens after a person’s name indicate how many times that person has finished in the top 5 places of all previous programmer challenges, not including this one):

Name bytes avg ticks

Tom Elwertowski 864 54

Jeff Mallett (2) 770 60

Gerry Davis (1) 1042 64

Bill Karsh 1320 69

Stepan Riha (3) 1132 92

Jan Bruyndonckx 826 101

David Rand * 880 140

Bob Boonstra (2) 528 188

Dave Darrah ** 90 301

John Baxter ** 122 313

Eric Josserand 572 343

There are really 3 cases you need to think about to write a fast ReplaceAll: (1) replacement string and source string are the same length, (2) replacement string is shorter than the source string and (3) replacement string is longer than the source string. The first is the fastest; you just overwrite the source string with the replacement string in place and you don’t need to move any other bytes. The second case is almost as fast; you overwrite the source string with a shorter replacement string and then degap the Handle by the difference in lengths (of course, you cumulatively degap as you find/replace, and not completely degap after each individual replace). The third case is the slowest because it requires two passes to do it efficiently: during the first pass you find all occurrences of the source string and mark them (or keep an array of their positions), then you grow the Handle by the difference in lengths between the replacement string and the source string times the number of occurrences of the source string you found; then you start at the back of the Handle moving bytes and making replacements as you go. This guarantees a minimum of Handle resizing and gapping.

In addition, if you are motivated, you could add the special case code that Bill Karsh did that checks for replacement and source strings of length exactly equal to 1 and have a tiny little loop that screams for that case (which will catch those reviewers who time the real-world, every-day case of changing a page of “a”s into a page of “b”s to make their word processing speed comparison charts). And you could add a table driven search algorithm like Stepan Riha (Austin, TX) did that minimizes search time in cases where partial matches are common.

Or you could forget all that and listen to John Baxter (location unknown) who says “There is, IMHO, too much optimization and too little problem solving going on in the world (but I do enjoy the challenge feature and your optimization series). Clearly SOME optimization has its place, but the last time I routinely cared about squeezing the last possible cycle OR storage location out of code was about 1959.” Well, John, I can see your point but as a user who does ReplaceAlls on 200 page documents fairly often I can assure you that optimizing that operation is time well spent.

Here’s Tom’s winning solution:

/* Tom Elwertowski
 *
 * ReplaceAll( sourceHndl, replaceHndl, targetHndl )
 *
 * Replace all occurrances of sourceHndl in targetHndl with
 * replaceHndl. If replace length is not greater than source
 * length, replacement can be done as search proceeds.
 * Otherwise, all occurrances must be found first in order
 * to determine how much target will grow. A recursive
 * solution is used in the latter case; matches are found
 * on the way in and replacement occurs on the way out.
 *
 * Depending upon run length, substrings are moved either
 * by a byte copy loop or by the BlockMove routine. A word
 * move loop was considered and rejected. Best performance
 * was achieved for these string sizes: byte loop: <9,
 * word loop: 9-200 and BlockMove: >200. A word loop must
 * check for and deal with word nonaligmnent however which
 * resulted in more than a few lines of code and an inline
 * solution appeared excessively cumbersome. When all three
 * approaches were put in a subroutine, the additional
 * overhead swamped the gain in most cases. The compromise
 * was to use inline code with a byte loop for substrings
 * up to 21 characters and a BlockMove otherwise.
 */

#define kBlockMoveMin 22

typedef struct replaceParamBlock {
 Handle sourceHndl;
 long sourceSize;
 char *sourceStart;
 char *sourceEnd;
 Handle replaceHndl;
 long replaceSize;
 char *replaceStart;
 char *replaceEnd;
 Handle targetHndl;
 long targetSize;
 char *targetStart;
 char *targetEnd;
 long deltaSize;
} replaceParamBlock, *replaceParamBlockPtr;

long replaceOne( char *target, long depth, long deltaOffset,
 replaceParamBlockPtr replacePBPtr);

long ReplaceAll( Handle sourceHndl, Handle replaceHndl,
 Handle targetHndl )
{
 replaceParamBlock replacePB;
 char *target, *targetMatch, *targetOld, *targetNew,
 *source, *replace;
 long numReplace, deltaOffset, size;

 replacePB.sourceHndl = sourceHndl;
 replacePB.sourceSize = GetHandleSize( sourceHndl);
 replacePB.sourceStart = *sourceHndl;
 replacePB.sourceEnd =
 replacePB.sourceStart + replacePB.sourceSize;
 replacePB.replaceHndl = replaceHndl;
 replacePB.replaceSize = GetHandleSize( replaceHndl);
 replacePB.replaceStart = *replaceHndl;
 replacePB.replaceEnd =
 replacePB.replaceStart + replacePB.replaceSize;
 replacePB.targetHndl = targetHndl;
 replacePB.targetSize = GetHandleSize( targetHndl);
 replacePB.targetStart = *targetHndl;
 replacePB.targetEnd = 
 replacePB.targetStart + replacePB.targetSize;
 replacePB.deltaSize =
 replacePB.replaceSize - replacePB.sourceSize;

 numReplace = 0;
 deltaOffset = 0;
 if ( replacePB.deltaSize <= 0 ) {

 /* Iterative solution when 
  * replacement not longer then source */
 target = replacePB.targetStart;
 while ( target < replacePB.targetEnd) {
 if ( *target++ == *replacePB.sourceStart ) {

 /* Beginning of potential match */
 targetMatch = target - 1;
 source = replacePB.sourceStart + 1;
 while ( source < replacePB.sourceEnd )
 if ( *target++ != *source++ )
 goto noMatch;

 /* Match encountered */

 /* Shift unchanged segment of  target */
 if (numReplace > 0 &&
 replacePB.deltaSize < 0 ) {
 targetOld = replacePB.targetStart;
 targetNew = replacePB.targetStart +
 deltaOffset;
 size = targetMatch -
 replacePB.targetStart;
 if ( size < kBlockMoveMin )
 while ( targetOld < targetMatch )
 *targetNew++ = *targetOld++;
 else
 BlockMove( targetOld, targetNew,
 size );
 }

 /* Do replacement */
 replace = replacePB.replaceStart;
 targetNew = targetMatch + deltaOffset;
 if ( replacePB.replaceSize < kBlockMoveMin )
 while ( replace < replacePB.replaceEnd )
 *targetNew++ = *replace++;
 else
 BlockMove( replace, targetNew,
 replacePB.replaceSize );

 numReplace++;
 deltaOffset += replacePB.deltaSize;
 replacePB.targetStart = target;
 }

 noMatch:;
 }

 /* End of target encountered */

 /* If replacements have occurred and
  * replacement is shorter */
 if ( numReplace > 0 && replacePB.deltaSize < 0 ) {

 /* Compress target from last match to end */
 targetNew = replacePB.targetStart + deltaOffset;
 targetOld = replacePB.targetStart;
 size = replacePB.targetEnd -
 replacePB.targetStart;
 if ( size < kBlockMoveMin )
 while ( targetOld < replacePB.targetEnd )
 *targetNew++ = *targetOld++;
 else
 BlockMove( targetOld, targetNew, size );

 /* Resize target*/
 SetHandleSize ( targetHndl,
 replacePB.targetSize += deltaOffset );
 if ( MemError() != noErr)
 numReplace = -1;
 }
 }
 else
 /* Recursive solution when
  * replacement is longer than source */
 numReplace = replaceOne( replacePB.targetStart,
 0, 0, &replacePB );
 return ( numReplace );
}


long replaceOne( char *targetEntry, long depth,
 long deltaOffset, replaceParamBlockPtr replacePBPtr )
{
 char *source, *replace, *target;
 char *targetOld, *targetNew, *targetMatch;
 long targetEntryOffset, targetMatchOffset, size;
 long numReplace;
 
 target = targetEntry;
 targetEntryOffset = targetEntry -
 replacePBPtr->targetStart;
 while ( target < replacePBPtr->targetEnd ) {
 if ( *target++ == *replacePBPtr->sourceStart ) {

 /* Beginning of potential match */
 targetMatch = target - 1;
 targetMatchOffset = targetMatch -
 replacePBPtr->targetStart;
 source = replacePBPtr->sourceStart + 1;
 while ( source < replacePBPtr->sourceEnd )
 if ( *target++ != *source++ )
 goto noMatch;

 /* Match encountered. Look for next match */
 numReplace = replaceOne( target, depth + 1,
 deltaOffset + replacePBPtr->deltaSize,
 replacePBPtr );

 /* Expand target after all matches found */
 if ( numReplace > 0 ) {

 /* Do replacement */
 targetMatch = replacePBPtr->targetStart +
 targetMatchOffset;
 targetNew = targetMatch + deltaOffset;
 if ( replacePBPtr->replaceSize <
 kBlockMoveMin ) {
 targetNew += replacePBPtr->replaceSize;
 replace = replacePBPtr->replaceEnd;
 while ( replace >
 replacePBPtr->replaceStart )
 *--targetNew = *--replace;
 }
 else
 BlockMove( replacePBPtr->replaceStart,
 targetNew,
 replacePBPtr->replaceSize );

 /* Shift unchanged segment of target */
 if ( depth > 0 ) {
 targetOld = targetMatch;
 targetEntry =
 replacePBPtr->targetStart +
 targetEntryOffset;
 size = targetMatch - targetEntry;
 if ( size < kBlockMoveMin )
 while ( targetOld > targetEntry )
 *--targetNew = *--targetOld;
 else {
 targetNew -= size;
 BlockMove( targetEntry, targetNew,
 size );
 }
 }
 }
 return ( numReplace );
 }
 noMatch:;
 }

 /* End of target encountered */
 if ( depth > 0 ) {

 /* Resize target */
 SetHandleSize ( replacePBPtr->targetHndl,
 replacePBPtr->targetSize += deltaOffset );
 if ( MemError() == noErr) {
 
 /* Update pointers after possible relocation */
 replacePBPtr->targetStart =
 *replacePBPtr->targetHndl;
 replacePBPtr->targetEnd =
 replacePBPtr->targetStart +
 replacePBPtr->targetSize;
 replacePBPtr->replaceStart =
 *replacePBPtr->replaceHndl;
 
 replacePBPtr->replaceEnd =
 replacePBPtr->replaceStart +
 replacePBPtr->replaceSize;

 /* Expand target from last match to end */
 targetOld = replacePBPtr->targetEnd -
 deltaOffset;
 targetEntry = replacePBPtr->targetStart +
 targetEntryOffset;
 size = targetOld - targetEntry;
 if ( size < kBlockMoveMin ) {
 targetNew = replacePBPtr->targetEnd;
 while ( targetOld > targetEntry )
 *--targetNew = *--targetOld;
 }
 else {
 targetNew = targetEntry + deltaOffset;
 BlockMove( targetEntry, targetNew, size );
 }
 }
 else
 depth = -1;
 }

 return ( depth );
}

The Rules

Here’s how it works: Each month there will be a different programming challenge presented here. First, you must write some code that solves the challenge. Second, you must optimize your code (a lot). Then, submit your solution to MacTech Magazine (formerly MacTutor). A winner will be chosen based on code correctness, speed, size and elegance (in that order of importance) as well as the postmark of the answer. In the event of multiple equally desirable solutions, one winner will be chosen at random (with honorable mention, but no prize, given to the runners up). The prize for the best solution each month is $50 and a limited edition “The Winner! MacTech Magazine Programming Challenge” T-shirt (not to be found in stores).

In order to make fair comparisons between solutions, all solutions must be in ANSI compatible C (i.e., don’t use Think’s Object extensions). Only pure C code can be used. Any entries with any assembly in them will be disqualified (except for those challenges specifically stated to be in assembly). However, you may call any routine in the Macintosh toolbox you want (i.e., it doesn’t matter if you use NewPtr instead of malloc). All entries will be tested with the FPU and 68020 flags turned off in THINK C. When timing routines, the latest version of THINK C will be used (with ANSI Settings plus “Honor ‘register’ first” and “Use Global Optimizer” turned on) so beware if you optimize for a different C compiler. All code should be limited to 60 characters wide. This will aid us in dealing with e-mail gateways and page layout.

The solution and winners for this month’s Programmers’ Challenge will be published in the issue two months later. All submissions must be received by the 10th day of the month printed on the front of this issue.

All solutions should be marked “Attn: Programmers’ Challenge Solution” and sent to Xplain Corporation (the publishers of MacTech Magazine) via “snail mail” or preferably, e-mail - AppleLink: MT.PROGCHAL, Internet: progchallenge@xplain.com, CompuServe: 71552,174 and America Online: MT PRGCHAL. If you send via snail mail, please include a disk with the solution and all related files (including contact information). See page 2 for information on “How to Contact Xplain Corporation.”

MacTech Magazine reserves the right to publish any solution entered in the Programming Challenge of the Month and all entries are the property of MacTech Magazine upon submission. The submission falls under all the same conventions of an article submission.

 
AAPL
$118.63
Apple Inc.
+2.16
MSFT
$47.59
Microsoft Corpora
-0.39
GOOG
$539.27
Google Inc.
+1.77

MacTech Search:
Community Search:

Software Updates via MacUpdate

Carbon Copy Cloner 4.0.3 - Easy-to-use b...
Carbon Copy Cloner backups are better than ordinary backups. Suppose the unthinkable happens while you're under deadline to finish a project: your Mac is unresponsive and all you hear is an ominous,... Read more
ForeverSave 2.1.3 - Universal auto-save...
ForeverSave auto-saves all documents you're working on while simultaneously doing backup versioning in the background. Lost data can be quickly restored at any time. Losing data, caused by... Read more
Voila 3.8.1 - Capture, annotate, organiz...
Voila is a screen-capture, recording, and annotation tool that is a full-featured replacement for Mac's screen-capture and screen-recording capabilities. It has a large and robust set of editing,... Read more
SyncTwoFolders 2.0.6 - Syncs two user-sp...
SyncTwoFolders simply synchronizes two folders. It supports synchronization across mounted network drives and it is a possibility to run a simulation showing in a log what will be done. Please visit... Read more
Duplicate Annihilator 5.1.1 - Find and d...
Duplicate Annihilator takes on the time-consuming task of comparing the images in your iPhoto library using effective algorithms to make sure that no duplicate escapes. Duplicate Annihilator detects... Read more
Cobook 3.0.7 - Intelligent address book....
Cobook Contacts is an intuitive, engaging address book. Solve the problem of contact management with Cobook Contacts and its simple interface and powerful syncing and integration possibilities.... Read more
StatsBar 1.9 - Monitor system processes...
StatsBar gives you a comprehensive and detailed analysis of the following areas of your Mac: CPU usage Memory usage Disk usage Network and bandwidth usage Battery power and health (MacBooks only)... Read more
Cyberduck 4.6 - FTP and SFTP browser. (F...
Cyberduck is a robust FTP/FTP-TLS/SFTP browser for the Mac whose lack of visual clutter and cleverly intuitive features make it easy to use. Support for external editors and system technologies such... Read more
Maya 2015 - Professional 3D modeling and...
Maya is an award-winning software and powerful, integrated 3D modeling, animation, visual effects, and rendering solution. Because Maya is based on an open architecture, all your work can be scripted... Read more
Evernote 6.0.1 - Create searchable notes...
Evernote allows you to easily capture information in any environment using whatever device or platform you find most convenient, and makes this information accessible and searchable at anytime, from... Read more

Latest Forum Discussions

See All

This Week at 148Apps: November 17-21, 20...
Expert App Reviewers   So little time and so very many apps. What’s a poor iPhone/iPad lover to do? Fortunately, 148Apps is here to give you the rundown on the latest and greatest releases. And we even have a tremendous back catalog of reviews; just... | Read more »
RuPaul’s Drag Race: Dragopolis 2.0 is C...
RuPaul’s Drag Race: Dragopolis 2.0 is Coming to iOS December 4th Posted by Jessica Fisher on November 24th, 2014 [ permalink ] So Much Drama | Read more »
Crimson Keyboard (Utilities)
Crimson Keyboard 1.0 Device: iOS iPhone Category: Utilities Price: $1.99, Version: 1.0 (iTunes) Description: Introducing a faster way to type. Crimson Keyboard adapts to your writing style and provides smart, personal and contextual... | Read more »
The Sandbox EDU Review
The Sandbox EDU Review By Nadia Oxford on November 24th, 2014 Our Rating: :: COME PLAY IN THE SANDBOX AGAINUniversal App - Designed for iPhone and iPad Like its predecessor, The Sandbox EDU offers lots for players to see, do, and... | Read more »
Taichi Panda Hits iOS in December
Taichi Panda Hits iOS in December Posted by Jessica Fisher on November 24th, 2014 [ permalink ] Snail Games has released the first official game play trailer for  | Read more »
Five Apps to Make Your Thanksgiving Plan...
Thanksgiving is nearly upon us! You know what that means? Eating too much turkey, watching the Big Game, and spending time with family (whether you like it or not). Oh, and that scary Black Friday thing, but we won’t talk about that here. For those... | Read more »
Kingdom Rush Origins HD Review
Kingdom Rush Origins HD Review By Jennifer Allen on November 24th, 2014 Our Rating: :: JUST AS GOOD AS BEFOREiPad Only App - Designed for the iPad It’s more of the same again, but that’s really no bad thing at all.   | Read more »
Skylanders, Show Off How You Fight Kaos...
Skylanders, Show Off How You Fight Kaos to Win Cool Prizes Posted by Jessica Fisher on November 24th, 2014 [ permalink ] iPad Only App - Designed for the iPad | Read more »
Mark of the Dragon – Tips, Tricks, and S...
Calling All Dragon Riders: | Read more »
Crossy Road Review
Crossy Road Review By Jennifer Allen on November 24th, 2014 Our Rating: :: ADDICTIVELY FROGGER LIKEUniversal App - Designed for iPhone and iPad Frogger-like in nature, Crossy Road is an easy to recommend endless runner of sorts.   | Read more »

Price Scanner via MacPrices.net

Jumptuit Launches One-Tap Windows 8.1 iTunes...
Jumptuit has launched Windows 8.1 support for One-Tap iTunes Sync. with which Windows 8.1 users can now easily sync their iTunes libraries with Microsoft OneDrive. Jumptuit provides easy access from... Read more
CEA Study Finds More People Recycling Electro...
A new study by the Consumer Electronics Association (CEA) finds that electronics recycling receives the continued and growing support of consumers. According to the CEA,s Recycling and Reuse Study,... Read more
15″ 2.2GHz Retina MacBook Pro on sale for $17...
 B&H Photo has the 2014 15″ 2.2GHz Retina MacBook Pro on sale today for $1749. Shipping is free, and B&H charges NY sales tax only. B&H will also include free copies of Parallels Desktop... Read more
27-inch 3.5GHz 5K iMac in stock today and on...
 B&H Photo has the new 27″ 3.5GHz 5K iMac in stock today and on sale for $2299 including free shipping plus NY sales tax only. Their price is $200 off MSRP, and it’s the lowest price available... Read more
21-inch 1.4GHz iMac on sale for $979, save $1...
B&H Photo has the new 21″ 1.4GHz iMac on sale for $979.99 including free shipping plus NY sales tax only. Their price is $120 off MSRP. B&H will also include free copies of Parallels Desktop... Read more
13-inch 1.4GHz/256GB MacBook Air on sale for...
B&H Photo has lowered their price on the 13″ 1.4GHz/256GB MacBook Air to $1059.99 including free shipping plus NY sales tax only. Their price is $140 off MSRP, and it’s the lowest price for this... Read more
Save up to $400 with Apple refurbished 2014 1...
The Apple Store has restocked Apple Certified Refurbished 2014 15″ Retina MacBook Pros for up to $400 off the cost of new models. An Apple one-year warranty is included with each model, and shipping... Read more
New 13-inch 1.4GHz MacBook Air on sale for $8...
 Adorama has the 2014 13″ 1.4GHz/128GB MacBook Air on sale for $899.99 including free shipping plus NY & NJ tax only. Their price is $100 off MSRP. B&H Photo has the 13″ 1.4GHz/128GB MacBook... Read more
Apple Expected to Reverse Nine-Month Tablet S...
Apple and Samsung combined accounted for 62 percent of the nearly 36 million branded tablets shipped in 3Q 2014, according to early vendor shipment share estimates from market intelligence firm ABI... Read more
Stratos: 30 Percent of US Smartphone Owners t...
Stratos, Inc., creator of the Bluetooth Connected Card Platform, has announced results from its 2014 Holiday Mobile Payments Survey. The consumer survey found that nearly one out of three (30 percent... Read more

Jobs Board

*Apple* Retail - Multiple Positions (US) - A...
Sales Specialist - Retail Customer Service and Sales Transform Apple Store visitors into loyal Apple customers. When customers enter the store, you're also the Read more
*Apple* Solutions Consultant (ASC) - Apple (...
**Job Summary** The ASC is an Apple employee who serves as an Apple brand ambassador and influencer in a Reseller's store. The ASC's role is to grow Apple Read more
*Apple* Solutions Consultant (ASC) - Apple (...
**Job Summary** The ASC is an Apple employee who serves as an Apple brand ambassador and influencer in a Reseller's store. The ASC's role is to grow Apple Read more
*Apple* Solutions Consultant (ASC)- Retail S...
**Job Summary** The ASC is an Apple employee who serves as an Apple brand ambassador and influencer in a Reseller's store. The ASC's role is to grow Apple Read more
Project Manager, *Apple* Financial Services...
**Job Summary** Apple Financial Services (AFS) offers consumers, businesses and educational institutions ways to finance Apple purchases. We work with national and Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.