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

Scrivener 3.0 - Project management and w...
Scrivener is a project management and writing tool for writers of all kinds that stays with you from that first unformed idea all the way through to the first - or even final - draft. Outline and... Read more
SuperDuper! 3.0.1 - Advanced disk clonin...
SuperDuper! is an advanced, yet easy to use disk copying program. It can, of course, make a straight copy, or "clone" -- useful when you want to move all your data from one machine to another, or do... Read more
Parallels Desktop 13.2.0 - Run Windows a...
Parallels allows you to run Windows and Mac applications side by side. Choose your view to make Windows invisible while still using its applications, or keep the familiar Windows background and... Read more
VueScan 9.5.92 - 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
iFinance 4.3.4 - Comprehensively manage...
iFinance allows you to keep track of your income and spending -- from your lunchbreak coffee to your new car -- in the most convenient and fastest way. Clearly arranged transaction lists of all your... Read more
jAlbum Pro 15.0 - Organize your digital...
jAlbum Pro has all the features you love in jAlbum, but comes with a commercial license. You can create gorgeous custom photo galleries for the Web without writing a line of code! Beginner-friendly... Read more
jAlbum 15.0 - Create custom photo galler...
With jAlbum, you can create gorgeous custom photo galleries for the Web without writing a line of code! Beginner-friendly, with pro results - Simply drag and drop photos into groups, choose a design... Read more
Duet 1.6.9.3 - Use your iPad as an exter...
Duet is the first app that allows you to use your iDevice as an extra display for your Mac using the Lightning or 30-pin cable. Note: This app requires a $14.99 iOS companion app. Version 1.6.9.3:... Read more
Duet 1.6.9.3 - Use your iPad as an exter...
Duet is the first app that allows you to use your iDevice as an extra display for your Mac using the Lightning or 30-pin cable. Note: This app requires a $14.99 iOS companion app. Version 1.6.9.3:... Read more
iExplorer 4.1.10 - View and transfer fil...
iExplorer is an iPhone browser for Mac lets you view the files on your iOS device. By using a drag and drop interface, you can quickly copy files and folders between your Mac and your iPhone or... Read more

Latest Forum Discussions

See All

The mobile gamer's guide to Black F...
We're starting to catch wind of some exciting deals in the mobile gaming space for Black Friday. There are big discounts on mobile phones and accessories cropping up already, so you might want to get a move on things ahead of the big day. It's... | Read more »
The best pre-Black Friday deals - Novemb...
Black Friday will soon be upon us, but online retailers are already getting a headstart on the steep discounts. Don't wait until Friday—you'll find some pretty good deals all over the internet without waiting in lines or competing with other... | Read more »
Mighty Battles guide - how to build a so...
Mighty Battles, the latest title from Hothead Games, is set to take the App Store by storm. The game puts a welcome twist on lane battlers, adding FPS elements to spice things up a bit. You'll collect cards to put your own military unit to gether,... | Read more »
Rules of Survival guide - how to be the...
The PUBG craze makes its way to mobile, with more and more battle royale games debuting on iOS and Android. Rules of Survival joins the ranks of mobile PUBG-likes, offering a classic battle royale experiences that doesn't vary too much from its... | Read more »
The best new games we played this week -...
The weekend is upon us friends, and it's time to take a look back and reflect on all of the wonderful games we've played over the past few days. This week was jam packed with new releases. There were some big, long awaited launches, some fun... | Read more »
Lineage II: Revolution guide - tips and...
At long last, Lineage II: Revolution has now come to western shores, bring Netmarble's sweeping MMORPG to mobile devices. It's an addictive, epic experience, but some of the systems in the game can be a bit overwhelming. Here are a few tips to help... | Read more »
A Boy and His Blob (Games)
A Boy and His Blob 1.0 Device: iOS Universal Category: Games Price: $4.99, Version: 1.0 (iTunes) Description: | Read more »
Fight terrible monsters and collect epic...
Released on Western markets early last month, Dragon Project, created by Japanese developer COLOPL, brings epic monster hunting action to mobile for the very first time. Collect a huge array of weapons and armor, and join up with friends to fight... | Read more »
I Am The Hero (Games)
I Am The Hero 1.0 Device: iOS Universal Category: Games Price: $1.99, Version: 1.0 (iTunes) Description: I Am The Hero is a pixel art, beat 'em up, fighting game that tells the story of a "Hero" with a glorious but mysterious past.... | Read more »
Kauldron (Music)
Kauldron 1.0 Device: iOS Universal Category: Music Price: $3.99, Version: 1.0 (iTunes) Description: Kauldron is our warmest sounding, punchiest synth yet! A completely new modeling technology, combined with carefully designed... | Read more »

Price Scanner via MacPrices.net

Save up to $180 with Apple Certified Refurbis...
Apple has Certified Refurbished 2017 13″ MacBook Airs available starting at $849. An Apple one-year warranty is included with each MacBook, and shipping is free: – 13″ 1.8GHz/8GB/128GB MacBook Air (... Read more
Black Friday deals on Apple Macs now live at...
Amazon has MacBook Pros, MacBook Airs, MacBooks, and iMacs on sale for up to $200 off MSRP for Black Friday week. Shipping is free. Note that stock of some Macs may come and go during the week, so... Read more
Black Friday pricing on Macs and iPads now av...
B&H Photo has lowered prices on many Macs, iPads, and iPad Pros as part of their Black Friday week sale. Save up to $200 on MacBooks and iMacs and up to $150 on iPads. B&H charges sales tax... Read more
Best Apple iPad deals this weekend, up to $80...
Apple resellers are offering 9.7″ iPads and 10.5″ iPad Pros for up to $80 off MSRP this weekend as part of their early Holiday and Black Friday sales: Adorama is offering new 2017 9.7″ 32GB WiFi... Read more
Early Black Friday sale: Apple iMacs for up t...
B&H Photo has 27-inch iMacs in stock and on sale for up $130-$150 off MSRP including free shipping. B&H charges sales tax in NY & NJ only: – 27″ 3.8GHz iMac (MNED2LL/A): $2149 $150 off... Read more
Apple restocks refurbished Mac minis starting...
Apple has restocked Certified Refurbished Mac minis starting at $419. Apple’s one-year warranty is included with each mini, and shipping is free: – 1.4GHz Mac mini: $419 $80 off MSRP – 2.6GHz Mac... Read more
Save on 12″ MacBooks, Apple refurbished model...
Apple has Certified Refurbished 2017 12″ Retina MacBooks available for $200-$240 off the cost of new models. Apple will include a standard one-year warranty with each MacBook, and shipping is free.... Read more
Early Holiday sale: 12″ iPad Pros for up to $...
B&H Photo has 12″ iPad Pros on sale today for up to $130 off MSRP. Shipping is free, and B&H collects no sales tax outside NY & NJ: – 12″ 64GB WiFi iPad Pro: $749, save $50 – 12″ 256GB... Read more
Holiday sale prices on Apple 13″ MacBook Pros...
B&H Photo has 2017 13″ MacBook Pros in stock today and on sale for $100-$150 off MSRP, each including free shipping plus NY & NJ sales tax only: – 13-inch 2.3GHz/128GB Space Gray MacBook Pro... Read more
Sale: 13″ MacBook Airs starting at $899, $100...
B&H Photo has 2017 13″ MacBook Airs on sale today for $100 off MSRP including free shipping. B&H charges NY & NJ sales tax only: – 13″ 1.8GHz/128GB MacBook Air (MQD32LL/A): $899, $100 off... Read more

Jobs Board

*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
Product Manager - *Apple* Pay on the *Appl...
Job Summary Apple is looking for a talented product manager to drive the expansion of Apple Pay on the Apple Online Store. This position includes a unique Read more
*Apple* Pro/Consumer Apps Support Engineer -...
…exemplify AppleCare's expert technical support paired with exceptional customer service for Apple 's software apps. This person is a problem solver, who understands Read more
Partner Marketing Manager, *Apple* Pay - Ap...
Job Summary The Apple Pay partner marketing team is looking for a Marketing Manager to develop and drive US programs. The right candidate will be passionate about Read more
*Apple* Solution Consultant - Apple (United...
# Apple Solution Consultant - Rochester, MN Job Number: 113037950 Rochester, MN, Minnesota, United States Posted: 19-Sep-2017 Weekly Hours: 40.00 **Job Summary** Are Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.