TweetFollow Us on Twitter

Dec 93 Challenge
Volume Number:9
Issue Number:12
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.

PRESENT PACKING

The gift giving season is here and it’s time to figure out how to most efficiently store all the presents you’re going to receive. Let’s suppose you have a 100cm x 100cm area where you can put presents. Anything that doesn’t fit in there will have to be burned. And let’s suppose one of the following: (1) presents are infinitely tall or (2) presents may not be wrapped well and may contain fragile things. In either case, it’s clear you can’t stack them on top of each other. Over the course of the gift giving season you will to be presented with exactly 100 presents where each has a length and width between 5cm and 15cm (randomly distributed in that range using the Mac’s Random() function).

Each time you receive a present (via a callback function described below) you must first decide if you want to keep it or burn it. If you keep it you must decide where to put it in your storage area (and you can’t move it or remove it later once you’ve placed it). If you burn it then you will be preserving unused storage space for other presents you haven’t yet received (but burning the 100th present if you have room for it doesn’t make any sense cause that’s the last one you’re going to get). And you can’t put it aside and decide later; once you decide not to keep it and store it, it goes into the fireplace.

The goal is to store as many presents as possible (even if they’re all very tiny) so that when the day comes to open them all you have many things to open. The joy of opening one great big present is, for purposes of this challenge, short-lived and dwarfed by the joy of opening tens of small to medium sized presents. This challenge is not about code speed as much as it is about getting lots of presents (i.e. he who dies with the most toys wins this challenge).

The prototype of the function you write is:

void PackPresents(numPresents, 
 nextPresentProc, storePresentProc)
unsigned short numPresents;
NextPresProcnextPresentProc;
StorePresProc    storePresentProc;

Where the two procs are defined as:

typedef void (*NextPresProc) (unsigned
  short *widthPtr, unsigned short
  *lengthPtr);
typedef void (*StorePresProc) (unsigned
  short xPos, unsigned short yPos);

Your PackPresents routine should call nextPresentProc exactly numPresents times (which will be 100). For each present that it decides to keep it should call storePresentProc with the location it wants to store it. If you do not call storePresentProc before calling nextPresentProc again then the host calling you will assume you burned the last present it gave you. In addition, if you attempt to store a present at a place where there is already a present stored, the host will ignore your store request and will instead burn the present. Your PackPresents routine should return to the host after it has packed all it can or after numPresents have been asked for and dealt with.

Here’s a shell you might want to start with:

/* 1*/

void PackPresents(numPresents, 
 nextPresentProc, storePresentProc)
unsigned short numPresents;
NextPresProcnextPresentProc;
StorePresProc    storePresentProc;
{
 /* init storage area... */
 i = numPresents;
 do {
 (*nextPresentProc)(&width, &length);
 canBeStored = blah...
 yesIWantIt = blah...
 if (canBeStored && yesIWantIt) {
 xPos = blah...
 yPos = blah...
 (*storePresentProc)(xPos, yPos);
 /* update storage area... */
 }
 while (--i);
}

and some example callbacks:

/* 2 */

MyNextPresProc (widthPtr, lengthPtr)
unsigned short *widthPtr;
unsigned short *lengthPtr;
{
 *widthPtr = (abs(Random()) % 11) + 5;
 *lengthPtr = (abs(Random()) % 11) + 5;
}

MyStorePresProc (xPos, yPos)
unsigned short xPos;
unsigned short yPos;
{
 if (/* no previous pres in the way */)
 gNumStored++;
}

Good luck and may you get lots of presents!

TWO MONTHS AGO WINNER

Of the 17 entries I received for the ASCII85 Encoding challenge, only 6 worked perfectly. An additional 6 worked correctly except for the last few remainder bytes of input (where you have less than 4 bytes). Congratulations to James Goebel (location unknown) for his somewhat large but definitely fast entry. Right on his heels with an entry about half as large and nearly as fast was the Name No One Man challenge winner Stepan Riha (Austin, TX).

Here are the times for 2 tests and sizes of each entry. 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. A ‘*’ after a person’s name indicates someone whose solution worked correctly except for the last few remainder bytes (they were disqualified but there were so many of them and they were so close to working correctly that I decided to list them here).

Name bytes ticks 1 ticks 2

James Goebel 1302 77 143

Stepan Riha (4) 734 81 151

Larry Landry 442 94 175

Kevin Cutts 476 103 201

Allen Stenger (1) 438 113 208

Jeff Mallett (3) 446 119 221

Bob Boonstra (3) * 432 133 265

Steve Israelson (1) * 352 142 266

Tom Elwertowski (1) * 414 142 264

Dave Darrah * 300 152 284

Vladimir Makovsky * 212 202 379

Eric Josserand * 278 212 395

The key to writing a fast ASCII85 encoder is to come up with a clever way to multiply and divide by 85 and/or powers of 85. As you know, you want to do as little multiplication and division as possible if you want fast code. If you have a loop with a constant divisor, for instance, then you can usually craft a special piece of code that will outperform the 680x0’s built in divide instruction. Nearly every entrant in this challenge had come up with a clever way to multiply and divide by 85 or powers of 85. For example, take a look at second place winner Stepan Riha’s set of macros:

/* 3 */

/* Macros for mult with powers of 85  */

#define MultBy85_1(x) { \
 /* x = x * 85^1; */ \
 x += (x<<2); x += (x<<4); }

#define MultBy85_2(x) { \
 /* x = x * 85^2; */ \
 register uLong a = (x<<3) + \
  (x<<4) + (x<<5); \
 x += a + (a<<7); }

#define MultBy85_3(x) { \
 /* x = x * 85^3; */ \
 register uLong a, b;\
 a = x + (x<<3); \
 b = (a<<2) + (a<<6);\
 x = (x<<12) + a + (a<<16) + b + \
  (b<<5); }

#define MultBy85_4(x) { \
 /* x = x * 85^4; */ \
 register uLong a, b; \
 a = x + (x << 4) + (x << 5); \
 b = (x << 7) + (x << 10); \
 x = (x << 19) + a + (a << 20) + b + \
  (b << 8); }

/* Macros for x / (85^n) and x % (85^n).
 * The following are approximations for
 * the divisions:
 *  x / 85^1 >= x * 3 / 2^8;
 *  x / 85^2 >= x * 9 / 2^16;
 *  x / 85^3 >= x * 27 / 2^24;
 */

#define AprxDiv85_1(x) (((x<<1)+x) >> 8)
#define AprxDiv85_2(x) (((x<<3)+x) >> 16)
#define AprxDiv85_3(x) (((x<<4)+(x<<3)+ \
  (x<<1)+x) >>24)

I thought the description of how to handle the last few bytes of input in the October issue was clear but apparently I was wrong. Here’s an example. Suppose you want to ASCII85 encode the hex bytes 0x00, 0x01. Since you have less than 4 bytes you append two zero bytes to get 0x00, 0x01, 0x00, 0x00 as your 32 bits of input. You convert to 5 base 85 bytes and get 0, 0, 9, 6, 1. The algorithm says to output (n + 1) bytes where n is the number of input bytes (1 to 4), which is 2 in this example. So you add ‘!’ (33) to each of the first 3 bytes and output 33, 33, 42, followed by the end of input marker ~>. In fact, you didn’t even need to convert the last 2 base 85 bytes (6 and 1) because they weren’t used in the final output.

Here’s James’ winning solution:

/*********************************************************

 Author : Clement J Goebel III
 
 Routine converts bianary data to ASCII85 ascii 
 format for transfering data via methods that are
 not bianary friendly, such as e-mail.
 
 Such that :
   (i1 * 256^3)+(i2 * 256^2)+(i3 * 256)+i4 ==
     (o1 * 85^4)+(o2 * 85^3)+(o3 * 85^2)+(o4 * 85)+o5
 
 The output must include one carrige return at least
 every 80 characters.  This routine inserts a cr
 after every 8 longs of input, which represent at
 most 40 chars of output.  It could be once every
 16 longs of input representing at most 80 chars of
 output, but then the max line len could be 
 interpereted as 81 characters.  One other oddity
 of this implementation is that the output may
 begin with a newline char.
 
 The output buffer passed to the routine needs to 
 account for the probable expansion of the data.
 Len(Output) = ((Len(Input)) * 5 + 3) / 4 + 2;
 plus room for the newline characters.
 
 *********************************************************/

#define ASCII_BANG '!'
#define ASCII_Z  'z'
#define ASCII_TILDE'~'
#define ASCII_GREATER_THAN'>'
#define ASCII_CR 0x0d
#define INPUTS_BETWEEN_CR 0x07

#define k85         85L
#define k85_2        7225L
#define k85_3      614125L
#define k85_4    52200625L

/*------------------------------------------------------
 The processor's general purpose division is slow,
 instead I use a routine that is accurate only for
 results between 0 and 127. And to avoid speed
 loss, which would result from calling the routine
 hundreds of thousands of times, it is inserted 
 inline via a macro.  Note this routine is only fast
 if all of the parameters, except lDivisor,
 are registers. lRemain starts as the number to
 divide and ends up containing the remainder.
  ------------------------------------------------------*/
#define DIV_ANS_LT_128( lRemain, lDivisor, lAns, lT )     \
{  \
 lT = (lDivisor << 6);      \
   \
 if ( lRemain >= lT ) { lRemain -= lT; lAns += 0x40; } \
 lT = ( lT >> 1 );   \
 if ( lRemain >= lT ) { lRemain -= lT; lAns += 0x20; } \
 lT = ( lT >> 1 );   \
 if ( lRemain >= lT ) { lRemain -= lT; lAns += 0x10; } \
 lT = ( lT >> 1 );   \
 if ( lRemain >= lT ) { lRemain -= lT; lAns += 0x08; } \
 lT = ( lT >> 1 );   \
 if ( lRemain >= lT ) { lRemain -= lT; lAns += 0x04; } \
 lT = ( lT >> 1 );   \
 if ( lRemain >= lT ) { lRemain -= lT; lAns += 0x02; } \
 lT = ( lT >> 1 );   \
 if ( lRemain >= lT ) { lRemain -= lT; lAns += 0x01; } \
}

/*------------------------------------------------------
 ASCII85Encode
  ------------------------------------------------------*/
void ASCII85Encode( char *pcInput,
 unsigned long ulInputBytes,
 char *pcOutput,
 unsigned long *pulOutputBytes )
{
 unsigned char *pcIn = (unsigned char*)pcInput;
 unsigned char *pcOut = (unsigned char*)pcOutput;
 unsigned long *plIn;
 unsigned long ulIn;
 unsigned long ulOut;
 unsigned long ulInput;
 unsigned long l;
 unsigned long ulCRs;
 unsigned char ucC;

 ulCRs = ulOut = 0;
 ulIn = ulInputBytes >> 2;  /* longwords to read */
 
 if ( ((unsigned long) pcIn & 0x01 ) == 0 ) {            
/*------------------------------------------------------
 Input data is word aligned
  ------------------------------------------------------*/
 plIn = (unsigned long*)pcInput;
 while ( ulIn ) {
 if (((ulIn--) & INPUTS_BETWEEN_CR) == 0 ) {
 *pcOut++ = ASCII_CR;
 ulCRs++;
 }
 if ( ! ( ulInput = *plIn++ ) ) {
 *pcOut++ = ASCII_Z;
 ulOut++;
 } else {
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_4, ucC, l );
 *pcOut++ = ucC;
 
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_3, ucC, l );
 *pcOut++ = ucC;
 
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_2, ucC, l );
 *pcOut++ = ucC;
 
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85  , ucC, l );
 *pcOut++ = ucC;
 *pcOut++ = ulInput + ASCII_BANG;
 }
 }
 pcIn = (unsigned char*)plIn;
 } else {
/*------------------------------------------------------
 Else input data is NOT word aligned
  ------------------------------------------------------*/
 while ( ulIn ) { 
 if (((ulIn--) & INPUTS_BETWEEN_CR) == 0 ) {
 *pcOut++ = ASCII_CR;
 ulCRs++;
 }
 ulInput = (((unsigned long)(*pcIn++)) << 24);
 ulInput = ulInput | 
 ((*(unsigned long*)pcIn ) >> 8 );
 pcIn += 3;

 if ( ! ulInput ) {
 *pcOut++ = ASCII_Z;
 ulOut++;
 } else {
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_4, ucC, l );
 *pcOut++ = ucC;
 
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_3, ucC, l );
 *pcOut++ = ucC;
 
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_2, ucC, l );
 *pcOut++ = ucC;
 
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85  , ucC, l );
 *pcOut++ = ucC;
 *pcOut++ = ulInput + ASCII_BANG;
 }
 }
 }
/*------------------------------------------------------
 ulOut contains number of longs that were 0 
  ------------------------------------------------------*/
   ulIn = ulInputBytes;
 l = (ulIn >> 2) - ulOut;/* l = # nonzero longs    */
 ulOut += ( l << 2 );/*   add l * 4  */
 ulOut += ( l ); /*   one more for * 5 */
 
 ulOut += ulCRs; /*  # of carrige rtns */
 ulOut++; /* for last carrige rtn */

/*------------------------------------------------------
 take care of leftover tail end bytes 
  ------------------------------------------------------*/
 *pcOut++ = ASCII_CR;

 ulIn = ulIn & 0x03;
 if ( ulIn ) {
 ulInput = ((unsigned long)(*pcIn++)) << 24;
 if ( ulIn > 1 ) { 
 ulInput = ulInput | ((unsigned long)
 (*pcIn++) << 16);
 if ( ulIn == 3 ) 
 ulInput = ulInput | ((unsigned long)
 (*pcIn++) << 8);
 } 
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_4, ucC, l );
 *pcOut++ = ucC;

 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_3, ucC, l );
 *pcOut++ = ucC;
 
 if ( ulIn > 1 ) {
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85_2, ucC, l );
 *pcOut++ = ucC;

 if ( ulIn == 3 ) {
 ucC = ASCII_BANG;
 DIV_ANS_LT_128( ulInput, k85, ucC, l );
 *pcOut++ = ucC;
 }
 } 
 ulOut += ( ulIn + 1 );
 }

/*------------------------------------------------------
 write end of data marker 
  ------------------------------------------------------*/     
 *pcOut++ = ASCII_TILDE;
 *pcOut++ = ASCII_GREATER_THAN;
 *pulOutputBytes = ulOut + 2;
}

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.

 

Community Search:
MacTech Search:

Software Updates via MacUpdate

Quicken 4.4.3 - Complete personal financ...
Quicken makes managing your money easier than ever. Whether paying bills, upgrading from Windows, enjoying more reliable downloads, or getting expert product help, Quicken's new and improved features... Read more
Apple Safari 10.0.3 - Apple's Web b...
Note: The direct download link is currently unavailable. It is available in the OS X 10.11.6 release, as well as in the Apple Security Updates. Apple Safari is Apple's web browser that comes with OS... Read more
Apple iTunes 12.5.5 - Play Apple Music a...
Apple iTunes lets you organize and stream Apple Music, download and watch video and listen to Podcasts. It can automatically download new music, app, and book purchases across all your devices and... Read more
Apple macOS Sierra 10.12.3 - The latest...
With Apple macOS Sierra, Siri makes its debut on Mac, with new features designed just for the desktop. Your Mac works with iCloud and your Apple devices in smart new ways, and intelligent... Read more
Lyn 1.8.5 - Lightweight image browser an...
Lyn is a fast, lightweight image browser and viewer designed for photographers, graphic artists, and Web designers. Featuring an extremely versatile and aesthetically pleasing interface, it delivers... Read more
iClock Pro 3.4.7 - Customize your menuba...
iClock Pro is a menu bar replacement clock for Apple's default clock. iClock Pro is an update, total rewrite and improvement to the popular iClock. Have the day, date and time in different fonts and... Read more
Opera 42.0.2393.137 - High-performance W...
Opera is a fast and secure browser trusted by millions of users. With the intuitive interface, Speed Dial and visual bookmarks for organizing favorite sites, news feature with fresh, relevant content... Read more
Apple Security Update 2016-003 Supplemen...
Apple Security Update is recommended for all users and improves the security of OS X. For detailed information about the security content of this update, please visit: http://support.apple.com/kb/... Read more
Apple iOS 10.2.1 - The latest version of...
iOS 10 is the biggest release of iOS ever. A massive update to Messages brings the power of the App Store to your conversations and makes messaging more personal than ever. Find your route with... Read more
BetterTouchTool 1.992 - Customize Multi-...
BetterTouchTool adds many new, fully customizable gestures to the Magic Mouse, Multi-Touch MacBook trackpad, and Magic Trackpad. These gestures are customizable: Magic Mouse: Pinch in / out (zoom... Read more

Clash Royale gets some serious balance u...
| Read more »
Ironhide Game Studio prepares for a busy...
Kingdom Rush breathed fresh life into the tired tower defense genre way back in 2012. The game was a robust challenge that somehow managed to lift you up, rather than leaving you feeling crushed and hopeless. The rich array of unit types and... | Read more »
Collect pets and sling arrows in Arcane...
Mobile gaming is a crowded market, but regular updates are a good way to keep us attention-short players keen. The brand new content in Arcane Online is a prime example. Published by Japanese developer Gala, Arcane Online is a fantasy MMO that... | Read more »
Super Mario Run dashes onto Android in M...
Super Mario Run was one of the biggest mobile launches in 2016 before it was met with a lukewarm response by many. While the game itself plays a treat, it's pretty hard to swallow the steep price for the full game. With that said, Android users... | Read more »
WarFriends Beginner's Guide: How to...
Chillingo's new game, WarFriends, is finally available world wide, and so far it's a refreshing change from common mobile game trends. The game's a mix of tower defense, third person shooter, and collectible card game. There's a lot to unpack here... | Read more »
Super Gridland (Entertainment)
Super Gridland 1.0 Device: iOS Universal Category: Entertainment Price: $1.99, Version: 1.0 (iTunes) Description: Match. Build. Survive. "exquisitely tuned" - Rock Paper Shotgun No in-app purches, and no ads! | Read more »
Red's Kingdom (Games)
Red's Kingdom 1.0 Device: iOS Universal Category: Games Price: $4.99, Version: 1.0 (iTunes) Description: Mad King Mac has kidnapped your father and stolen your golden nut! Solve puzzles and battle goons as you explore and battle your... | Read more »
Turbo League Guide: How to tame the cont...
| Read more »
Fire Emblem: Heroes coming to Google Pla...
Nintendo gave us our first look at Fire Emblem: Heroes, the upcoming mobile Fire Emblem game the company hinted at last year. Revealed at the Fire Emblem Direct event held today, the game will condense the series' tactical RPG combat into bite-... | Read more »
ReSlice (Music)
ReSlice 1.0 Device: iOS Universal Category: Music Price: $9.99, Version: 1.0 (iTunes) Description: Audio Slice Machine Slice your audio samples with ReSlice and create flexible musical atoms which can be triggered by MIDI notes or... | Read more »

Price Scanner via MacPrices.net

Deal alert! 13-inch 2.0GHz MacBook Pros for $...
B&H Photo has the new 2016 13″ 2.0GHz non-Touch Bar MacBook Pros in stock today and on sale for $225 off MSRP. Shipping is free, and B&H charges NY sales tax only: - 13″ 2.0GHz MacBook Pro... Read more
Free LibreOffice Portable 5.2.4 Complete Offi...
PortableApps.com and The Document Foundation have announce the release of LibreOffice Portable 5.2.4. LibreOffice Portable is an Open Source full-featured office suite — including a word processor,... Read more
Apple Planning Three New Tablets For 2017 – D...
Digitimes’ Rebecca Kuo and Joseph Tsai say that unnamed insider sources report Apple having three new tablets in the pipeline for 2017 release: a 9.7-inch model with a friendly price range, a new mid... Read more
Roundup of 15-inch Touch Bar MacBook Pro sale...
B&H Photo has the new 2016 15″ Apple Touch Bar MacBook Pros in stock today and on sale for up to $150 off MSRP. Shipping is free, and B&H charges NY sales tax only: - 15″ 2.7GHz Touch Bar... Read more
Apple refurbished iPad Pros available for up...
Apple has Certified Refurbished 9″ and 12″ Apple iPad Pros available for up to $160 off the cost of new iPads. An Apple one-year warranty is included with each model, and shipping is free: - 32GB 9″... Read more
16GB iPad Air 2, Apple refurbished, available...
Apple has Certified Refurbished 16GB iPad Air 2s available for $319 including free shipping. A standard Apple one-year is included. Their price is $60 off original MSRP for this model. Read more
Apple iMacs on sale for up to $120 off MSRP
B&H Photo has 21″ and 27″ Apple iMacs on sale for up to $120 off MSRP, each including free shipping plus NY sales tax only: - 27″ 3.3GHz iMac 5K: $2199 $100 off MSRP - 27″ 3.2GHz/1TB Fusion iMac... Read more
Apple refurbished Apple TVs available for up...
Apple has Certified Refurbished 32GB and 64GB Apple TVs available for up to $30 off the cost of new models. Apple’s standard one-year warranty is included with each model, and shipping is free: -... Read more
Save up to $350 with Apple Certified Refurbis...
Apple has Certified Refurbished 2015 21″ & 27″ iMacs available for up to $350 off MSRP. Apple’s one-year warranty is standard, and shipping is free. The following models are available: - 21″ 3.... Read more
2015 12-inch Retina MacBooks, Apple refurbish...
Apple has Certified Refurbished 2015 12″ Retina MacBooks available for up to $410 off original MSRP. Apple will include a standard one-year warranty with each MacBook, and shipping is free. The... Read more

Jobs Board

*Apple* & PC Desktop Support Technician...
Apple & PC Desktop Support Technician job in Manhattan, NY Introduction: We have immediate job openings for several Desktop Support Technicians with one of our most Read more
*Apple* & PC Desktop Support Technician...
Apple & PC Desktop Support Technician job in Stamford, CT We have immediate job openings for several Desktop Support Technicians with one of our most well-known Read more
*Apple* Retail - Multiple Positions - Apple,...
Job Description: Sales Specialist - Retail Customer Service and Sales Transform Apple Store visitors into loyal Apple customers. When customers enter the store, Read more
*Apple* Site Security Manager - Apple (Unite...
# Apple Site Security Manager Job Number: 54692472 Culver City, California, United States Posted: Jan. 19, 2017 Weekly Hours: 40.00 **Job Summary** The Apple Read more
*Apple* macOS Systems Integration Administra...
…most exceptional support available in the industry. SCI is seeking an Junior Apple macOS systems integration administrator that will be responsible for providing Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.