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
$103.30
Apple Inc.
+0.80
MSFT
$45.09
Microsoft Corpora
-0.34
GOOG
$577.33
Google Inc.
+5.73

MacTech Search:
Community Search:

Software Updates via MacUpdate

TextSoap 7.4.0 - Flexible text editing u...
TextSoap is for people who work with text. TextSoap effortlessly cleans up text from endlessly different formats. Wash away unwanted characters, spaces, tabs. Fix paragraphs with hard returns at the... Read more
NetShade 6.0.2 - Browse privately using...
NetShade is an Internet security tool that conceals your IP address on the web. NetShade routes your Web connection through either a public anonymous proxy server, or one of NetShade's own dedicated... Read more
Mac DVDRipper Pro 5.0 - Copy, backup, an...
Mac DVDRipper Pro is the DVD backup solution that lets you protect your DVDs from scratches, save your batteries by reading your movies from your hard disk, manage your collection with just a few... Read more
pwSafe 3.1 - Secure password management...
pwSafe provides simple and secure password management across devices and computers. pwSafe uses iCloud to keep your password databases backed-up and synced between Macs and iOS devices. It is... Read more
StatsBar 1.8 - 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
Path Finder 6.5.5 - Powerful, award-winn...
Path Finder is a file browser that combines the familiar Finder interface with the powerful utilities and innovative features. Just a small selection of the Path Finder 6 feature set: Dual pane... Read more
QuarkXPress 10.2.1 - Desktop publishing...
With QuarkXPress, you can communicate in all the ways you need to -- and always look professional -- in print and digital media, all in a single tool. Features include: Easy to Use -- QuarkXPress is... Read more
Skype 6.19.0.450 - Voice-over-internet p...
Skype allows you to talk to friends, family and co-workers across the Internet without the inconvenience of long distance telephone charges. Using peer-to-peer data transmission technology, Skype... Read more
VueScan 9.4.41 - Scanner software with a...
VueScan is a scanning program that works with most high-quality flatbed and film scanners to produce scans that have excellent color fidelity and color balance. VueScan is easy to use, and has... Read more
Cloud 3.0.0 - File sharing from your men...
Cloud is simple file sharing for the Mac. Drag a file from your Mac to the CloudApp icon in the menubar and we take care of the rest. A link to the file will automatically be copied to your clipboard... Read more

Latest Forum Discussions

See All

Modern Combat 5 Gets a Major Multiplayer...
Modern Combat 5 Gets a Major Multiplayer Update Posted by Jessica Fisher on September 2nd, 2014 [ permalink ] Universal App - Designed for iPhone and iPad | Read more »
Alien Creeps TD Review
Alien Creeps TD Review By Jennifer Allen on September 2nd, 2014 Our Rating: :: EXPENSIVE DEFENSESUniversal App - Designed for iPhone and iPad Alien Creeps TD would be a fun if unremarkable Tower Defense game, but its heavy focus on... | Read more »
The Journey Down: Chapter Two Review
The Journey Down: Chapter Two Review By Jennifer Allen on September 2nd, 2014 Our Rating: :: DARK YET ENTICINGUniversal App - Designed for iPhone and iPad It’s a little dark, in every sense of the word, but The Journey Down:... | Read more »
Function Space, a Social Network App for...
Function Space, a Social Network App for Science, Launches on iOS Posted by Ellis Spice on September 2nd, 2014 [ permalink ] | Read more »
Stupidfast – How Taylor Martinez Switche...
How do you make an Endless Running game more than just another Endless Running game? By adding real life prizes to it, of course! That’s the thinking behind StupidFast: a game designed for football enthusiasts, and the brainchild of former college... | Read more »
Little Raiders: Robin’s Revenge Review
Little Raiders: Robin’s Revenge Review By Jennifer Allen on September 2nd, 2014 Our Rating: :: CASUAL RAIDINGUniversal App - Designed for iPhone and iPad Combining simple combat with village building is a potent combination for... | Read more »
Treasure Tombs: Ra Deal Coming from Bulk...
Treasure Tombs: Ra Deal Coming from Bulkypix and Dark Tonic This Fall Posted by Jessica Fisher on September 2nd, 2014 [ permalink ] Dark Tonic and | Read more »
Pirate Bash Review
Pirate Bash Review By Nadia Oxford on September 2nd, 2014 Our Rating: :: BAD PIRATES, GOOD TIMESUniversal App - Designed for iPhone and iPad Pirate Bash’s turn-based battles add an intriguing twist to a typical physics game.   | Read more »
Tiny Tower Vegas Review
Tiny Tower Vegas Review By Jennifer Allen on September 2nd, 2014 Our Rating: :: STEADY DEVELOPMENTUniversal App - Designed for iPhone and iPad Build a huge tower again but Vegas-style in Tiny Tower Vegas.   | Read more »
The Manhattan Project Review
The Manhattan Project Review By Andrew Fisher on September 2nd, 2014 Our Rating: :: ROCKET SCIENCEUniversal App - Designed for iPhone and iPad The Manhattan Project offers a great Euro-style gameplay experience, but it is totally... | Read more »

Price Scanner via MacPrices.net

Apple refurbished iPads available for up to $...
Apple is offering Certified Refurbished iPad Airs for up to $140 off MSRP. Apple’s one-year warranty is included with each model, and shipping is free. Stock tends to come and go with some of these... Read more
Are We Now In The Post-Post-PC Era?
A longtime and thoroughgoing laptop aficionado, I was more than a little dismayed by Steve Jobs’s declaration back in 2010 when he sprang the iPad on an unsuspecting world. that we’d entered a “post-... Read more
PC Outlook Improves, But 2014 Shipments Still...
According to the International Data Corporation (IDC) Worldwide Quarterly PC Tracker, worldwide PC shipments are expected to fall by -3.7 percent in 2014. To hat’s actually an improvement from the... Read more
IDC Lowers Tablet Sales Projections for 2014...
Following a second consecutive quarter of softer than expected demand, International Data Corporation (IDC) has lowered its worldwide tablet plus 2-in-1 forecast for 2014 to 233.1 million units. The... Read more
Apple now offering refurbished 21-inch 1.4GHz...
The Apple Store is now offering Apple Certified Refurbished 21″ 1.4GHz iMacs for $929 including free shipping plus Apple’s standard one-year warranty. Their price is $170 off the cost of new models,... Read more
Save $50 on the 2.5GHz Mac mini, on sale for...
B&H Photo has the 2.5GHz Mac mini on sale for $549.99 including free shipping. That’s $50 off MSRP, and B&H will also include a free copy of Parallels Desktop software. NY sales tax only. Read more
Save up to $300 on an iMac with Apple refurbi...
The Apple Store has Apple Certified Refurbished iMacs available for up to $300 off the cost of new models. Apple’s one-year warranty is standard, and shipping is free. These are the best prices on... Read more
The Rise of Phablets
Carlisle & Gallagher Consulting Group, a businesses and technology consulting firm focused solely on the financial services industry, has released an infographic depicting the convergence of... Read more
Bad Driver Database App Allows Good Drivers t...
Bad Driver Database 1.4 by Facile Group is a new iOS and Android app that lets users instantly input and see how many times a careless, reckless or just plain stupid driver has been added to the... Read more
Eddy – Cloud Music Player for iPhone/iPad Fre...
Ukraine based CapableBits announces the release of Eddy, its tiny, but smart and powerful cloud music player for iPhone and iPad that allows users to stream or download music directly from cloud... 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* 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* 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* 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
Senior Event Manager, *Apple* Retail Market...
…This senior level position is responsible for leading and imagining the Apple Retail Team's global event strategy. Delivering an overarching brand story; in-store, Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.