TweetFollow Us on Twitter

Jan 01 Challenge Volume Number: 17 (2001)
Issue Number: 1
Column Tag: Programmer's Challenge

By Bob Boonstra, Westford, MA

Tetris

When George Warner first suggested that I base a Challenge on Tetris, I was skeptical. I hadn't played Tetris in a long time, and my recollection was that Tetris is a game not only of strategy, but of manual dexterity as well. After some email conversation, however, I think we've found a way to formulate Tetris info a meaningful Challenge.

You remember how Tetris is played, right? The game is played on a board sized perhaps 10 cells wide and 20 cells high into which pieces of varying sizes are dropped. The player is able to move the pieces left or right as they drop, or to rotate them clockwise or counter-clockwise, or to drop them to the bottom of the board. The player accumulates points as each piece is positioned into its final location. As one or more rows become completely filled, those rows are removed, the other rows are shifted down, and more points are accumulated. As rows are deleted, the game progresses to higher and higher levels where the pieces drop faster and faster. The game continues until there is no room for the next piece to drop into the board.

In this month's Challenge version of Tetris, the board size is generalized to something potentially larger than 10x20, the game speed remains constant, and the game continues until a specified time limit expires. You can make one move of the current game piece, a translation or a rotation, for each tick of the game clock. You can take as long as you like to figure out the best move, but every microsecond you use to calculate your move subtracts from the time limit and reduces your opportunity to score additional points. So you need to plan your moves both carefully and quickly.

The prototype for the code you should write is:

typedef char Piece[7][7];
   /* aPiece[row][col] is 1 if aPiece occupies cell (row,col), 0 otherwise */

typedef char Board[256][256];
   /* aBoard[row][col] is -1 if cell (row,col) is empty, otherwise it is the Piece index */
   /* row 0 is the top row, col 0 is the leftmost column */

typedef enum {
   kNoMove=0,                         /* allow piece to fall normally */
   kMoveLeft, kMoveRight,         /* move piece left/right one column */
   kDrop,                              /* drop piece to bottom of board */
   kRotateClockwise,             /* rotate piece clockwise 90 degrees */
   kRotateCounterClockwise      /* rotate piece counterclockwise 90 degrees */
} MoveType;

void InitTetris(
   short boardWidth,               /* width of board in cells */
   short boardHeight,            /* height of board in cells */
   short numPieceTypes,         /* number of types of pieces */
   const Piece gamePieces[],   /* pieces to play */
   long timeToPlay                  /* game time, in milliseconds */
);

MoveType /* move active piece */ Tetris(
   const Board gameBoard,      
            /* current state of the game board, 
            bottom row is [boardHeight-1], left column is [0] */
   short activePieceTypeIndex,   /* index into gamePieces of active piece */
   short nextPieceTypeIndex,      /* index into gamePieces of next piece */
   long pointsEarned,               /* number of points earned thus far */
   long timeToGo                        /* time remaining, in milliseconds */
);

void TermTetris(void);

The Tetris Challenge will work like this. Your InitTetris routine will be called first, to allow you to set up the problem based on the board configuration and the Piece shapes to be used in the problem. Next, your Tetris routine will be called multiple times, allowing you to manipulate the falling Tetris pieces, with the objective of accumulating as many points as possible. Your Tetris routine will continue to be called until the specified timeToPlay has expired, or until no more Pieces can be placed on the board. Then your TermTetris routine will be called, allowing you to deallocate any dynamically allocated storage.

InitTetris will be provided with the width (boardWidth) and height (boardHeight) of the game Board. It will also be given the numPieceTypes gamePieces to be used in the game, and the length of the game (timeToPlay) in milliseconds.

Each call to Tetris gives you the current state of the gameBoard; you should determine what you want to do with the active game Piece and return the corresponding MoveType. The test code will attempt to translate or rotate the active game Piece according to the MoveType you specify prior to dropping the Piece down one row. If the Piece cannot be moved or rotated as you request, the Piece will simply drop down one row. When the active Piece drops as far as it can, it will remain the active piece for one more game cycle, so that you can move it left or right by one position should you so choose. The Tetris parameters also provide you with the type of the next piece to be played (nextPieceTypeIndex), the pointsEarned so far, and the timeToGo still remaining in the game.

The gameBoard will contain the value -1 in each empty cell, and the index of the Piece occupying that cell for nonempty cells. Game Piece shapes are specified in a 7x7 array, with a 1 indicating that the corresponding cell is occupied. Pieces rotations occur about the central cell in that array. When Tetris is called with a new active game Piece, the Piece will be positioned just above the gameBoard, with the bottom row of the Piece due to appear on the gameBoard the next time Tetris is called.

The winner will be the solution that scores the most Tetris points within the specified timeToPlay. You score 1 point for each row that a Piece falls when it is dropped. When you eliminate a row, you earn 100 points. If multiple rows are completed at the same time, you win additional points: the second row completed by dropping a block is worth 200 points, the third 300 points, and the fourth 400 points. If you should eliminate all blocks on the board, you earn an additional 1000 points.

The Challenge prize will be divided between the overall winner and the best scoring entry from a contestant that has not won the Challenge recently. If you have wanted to compete in the Challenge, but have been discouraged from doing so, perhaps this is your chance at some recognition and a share of the Challenge prize.

This will be a native PowerPC Challenge, using the CodeWarrior Pro 6 environment. Solutions may be coded in C, C++, or Pascal. You can also provide a solution in Java, provided you also provide a test driver equivalent to the C code provided on the web for this problem.

Three Months Ago Winner

Congratulations to Ernst Munter (Kanata, Ontario) for another Programmer's Challenge victory. Ernst submitted the winning entry to the October "Which Bills Did They Pay" Challenge. This Challenge required contestants to sort out a set of invoices and a set of payments, matching payments to invoices. The solutions had to deal with payments that settled multiple invoices and partial payments of an invoice. Scoring was based on minimizing a "late-dollar-days" value that was the product of the amount of the invoice (or part of an invoice) times the number of days the amount went unpaid, thus encouraging the solution to apply payments to the oldest applicable invoice.

Ernst beat out the second-place entry by new contestant Sue Flowers. Sue's solution generated the same late-dollar-days value that Ernst's entry generated, but required significantly more execution time to do so. In several of the larger test cases, Sue's entry generated the same bill reconciliation log as Ernst's entry did, although this was not true in all cases. Besides Ernst's and Sue's entries, two additional entries for this Challenge were submitted, but neither solved the test cases correctly.

As always, Ernst's code is well commented. His entry makes two passes through the payment list, the first time looking for either a perfect match with a single invoice or a perfect match with multiple invoices. Ernst's CombineInvoices routine uses a stack-based technique to find the combination of invoices that exactly matches the payment amount. Although I didn't specifically analyze the performance of the individual routines in Ernst's code, I believe that the CombineInvoices routine is key to the performance Ernst achieved. In the second pass, his code looks for the "best" possible partial payment match, where "best" is defined as the invoice with the invoiced amount closest to the payment amount. Finally, the code makes a third pass through any remaining unpaid invoices to calculate the late-dollar-days statistic.

The table below lists, for each of the solutions submitted, the late-dollar-days value produced by the combined test cases, the cumulative execution time, and the number of reconciliation records generated. It also provides the code size, data size, and programming language used for each entry. As usual, the number in parentheses after the entrant's name is the total number of Challenge points earned in all Challenges prior to this one.

Name$DaysTime (msecs)RecordsErrors?Code SizeData SizeLang
Ernst Munter (661)18297920.43679no2756180C++
Sue Flowers182979246.54712no4156233C
A.D.446926800.7811yes127224C++
R. S.crash138361775C++

Top Contestants...

Listed here are the Top Contestants for the Programmer's Challenge, including everyone who has accumulated 10 or more points during the past two years. The numbers below include points awarded over the 24 most recent contests, including points earned by this month's entrants.

Rank Name Points
1. Munter, Ernst 251
2. Saxton, Tom 96
3. Maurer, Sebastian 68
4. Rieken, Willeke 65
5. Boring, Randy 52
6. Shearer, Rob 48
7. Taylor, Jonathan 36
8. Wihlborg, Charles 29

... and the Top Contestants Looking For a Recent Win

Starting this month, in order to give some recognition to other participants in the Challenge, we are also going to list the high scores for contestants who have accumulated points without taking first place in a Challenge. Listed here are all of those contestants who have accumulated 6 or more points during the past two years.

9. Downs, Andrew 12
10. Jones, Dennis 12
11. Day, Mark 10
12. Duga, Brady 10
13. Fazekas, Miklos 10
14. Flowers, Sue 10
15. Selengut, Jared 10
16. Strout, Joe 10
17. Hala, Ladislav 7
18. Miller, Mike 7
19. Nicolle, Ludovic 7
20. Schotsman, Jan 7
21. Widyyatama, Yudhi 7
22. Heithcock, JG 6

There are three ways to earn points: (1) scoring in the top 5 of any Challenge, (2) being the first person to find a bug in a published winning solution or, (3) being the first person to suggest a Challenge that I use. The points you can win are:

1st place 20 points
2nd place 10 points
3rd place 7 points
4th place 4 points
5th place 2 points
finding bug 2 points
suggesting Challenge 2 points

Here is Ernst's winning "What Bills Did They Pay" solution:

WhichBills.cp
Copyright © 2000
Ernst Munter

/*
October 4, 2000.
Submission to MacTech Programmer's Challenge for October 2000.
Copyright © 2000, Ernst Munter, Kanata, ON, Canada.
  
      "What Bills Did They Pay"

The Problem
------
Reconcile a set of invoices and payments where invoices may be paid with more than one
instalment,  and where payments may cover several invoices. 

The objective is to minimize the overall "late dollar days" subject to a set of rules. 

The Solution
------
I tackle the problem in three passes over the lists of invoices and payments.  During the
first  and second phases, reconciled invoice and payment records are removed from the lists.

In the first pass, each payment may  
   - be perfectly matched to a single invoice,
   - exactly match the sum of a number of invoices,
   - not match.
   
In the second pass, any remaining payments are applied to the smallest available invoice.
This may still leave unmatched invoices or payments unreconciled.

The amount of "late dollar days" is the sum of each reconciled amount multiplied by the delay
between the invoice and the payment.

The "late dollar days" figure includes each of the remaining unmatched invoices, multiplied
by  the delay from the invoice date to the last payment date.  

Any left-over payment that cannot be reconciled is disregarded.

Minimization of "late dollar days"
-----------------
If all payments have been accounted for, the resulting "late dollar days" number is
independent of the how the payments are applied to the invoices.  This is true because all
unpaid invoices  are effectively "paid" off on the last payment day.

The objective (to minimize "late dollar days") is thus achieved when all payments are matched
against invoices.  If this is not possible, it is best to 
   - minimize the number or amount of unmatched payments,
   - leave the invoices that cannot be matched to as late a date as possible.
   
No exhaustive attempt is made of legal permutations of multiple and partial matches, to
eliminate ALL unmatched payments.  It is hoped that the heuristic approach comes fairly
close.
*/

#include "ReconcilePayments.h"

struct Calendar
// Linear calendar for calculating differences in days 
const char months[12]={0,31,28,31,30,31,30,31,31,30,31,30};
static struct Calendar {
   short startMonth[4][16];
   Calendar()
   {
      for (long y=0;y<4;y++)
      {
         startMonth[y][1]=0;
         startMonth[y][2]=months[1];
         startMonth[y][3]=startMonth[y][2]+months[2];
         if (y==0) startMonth[y][3]++;
         for (long m=4;m <= 12;m++)
            startMonth[y][m]=startMonth[y][m-1]+months[m-1];
      }
   }
} gCalendar;

// Converts a Macintosh 14-byte DateTimeRec into a long (resolution to days only).
inline long DayNumber(const DateTimeRec & x)
{
   return
      (1461*x.year-1)/4+
      gCalendar.startMonth[3 & x.year][x.month] + 
      x.day;
}

struct MyInvoice
// My version of the invoice, using linear dates
struct MyInvoice {
   long   amount;
   long   day;
   MyInvoice*   next;   // invoices are stored in a doubly linked list
   MyInvoice*   prev;
   long   number;
   MyInvoice(){}
   MyInvoice(MyInvoice* nxt,MyInvoice* prv) :
      amount(0),   day(0),
      next(nxt),   prev(prv),   
      number(0){}
   MyInvoice(const Invoice & inv,MyInvoice* nxt,MyInvoice* prv) :
      amount(inv.invoiceAmount),
      day(DayNumber(inv.invoiceDate)),
      next(nxt),
      prev(prv),
      number(inv.invoiceNumber){}
   void Remove()
   // bridges link pointers to remove invoice from the list it is on
   {
      if (next) next->prev=prev;
      prev->next=next;      
         // prev is never 0 except in the list root which is never removed
   }
};
typedef MyInvoice* MyInvoicePtr;

struct MyPayment
// My version of the payment, using linear dates
struct MyPayment {
   long   amount;
   long   day;
   MyPayment*   next;         // payments are stored in a doubly linked list
   MyPayment*   prev;
   long   number;
   MyInvoice*   mostRecentInvoice;   // .. relative to this payment
   MyPayment(){}
   MyPayment(MyPayment* nxt,MyPayment* prv) :
      amount(0),   day(0),
      next(nxt),   prev(prv),   
      number(0),   mostRecentInvoice() {}
   MyPayment(const Payment & pay,MyPayment* nxt,MyPayment* prv) :
      amount(pay.paymentAmount),
      day(DayNumber(pay.paymentDate)),
      next(nxt),   prev(prv),
      number(pay.paymentNumber),   
      mostRecentInvoice() {}
   void Remove()
   {
      if (next) next->prev=prev;
      prev->next=next;
   }
};
typedef MyPayment* MyPaymentPtr;

Count
inline 
long Count(const Invoice theInvoices[])
// Counts the number of invoices, up to the sentinel with invoiceNumber 0
{
   const Invoice* I=theInvoices-1;
   long n=0;
   while ((++I)->invoiceNumber) {n++;}
   return n;
}
 
inline
long Count(const Payment thePayments[])
// Counts the number of payments, up to the sentinel with paymentNumber 0
{
   const Payment* P=thePayments-1;
   long n=0;
   while ((++P)->paymentNumber) {n++;}
   return n;
}

Reconcile
inline
long Reconcile(long amount,Reconciliation & R,
                        MyInvoice & I,MyPayment & P)
// Copies info into a reconciliation record and returns late dollar days 
{
   long iAmount=I.amount;
//   long pAmount=P.amount;      // there is no need to track partially used payments
   R.paymentNumber=P.number;
   R.appliedAmount=amount;
   R.invoiceNumber=I.number;
   I.amount = iAmount - amount;         
//   P.amount = pAmount - amount;// there is no need to track partially used payments
   return amount*(P.day-I.day);
}

CombineInvoices
inline
MyInvoicePtr* 
CombineInvoices(long balance,MyInvoice* I,
                  MyInvoice* mostRecentInvoice,MyInvoicePtr* stack)
// Searches invoices, from the range of invoices up to "mostRecentInvoice" to add up 
// to "balance".  
// The result is a sublist on the stack.
// Returns the top of the stack, or 0 if no match was found.
{
   *stack=0; 
   MyInvoicePtr* SP=stack+1;
   while (I && (I<=mostRecentInvoice))
   {
      if (balance < I->amount)      // invoice too large: try next in list
      {
         I=I->next;               
         if ((I>mostRecentInvoice) || (I==0))   // reached end of range
         {
            I=*-SP;                         // unwind stack
            if (I==0) return 0;      // reached bottom: no multiple found
            balance += I->amount;   // restore previous balance
            I=I->next;                      // and try next in list instead
         }
         continue;
      }
      
      if (balance > I->amount)      // include this one ... perhaps
      {
         if (I<mostRecentInvoice)   
                  // it's in range, and there is at least one other
         {
            *SP++=I;            // push this invoice on stack
            balance -= I->amount;
            I=I->next;
         } else                  // go back to previously found and skip it
         {
            I=*-SP;                         // unwind stack
            if (I==0) return 0;    // reached bottom: no multiple found
            balance += I->amount;   // restore previous balance
            I=I->next;                      // and try next in list instead
         }
         continue;
      }
      
      if (balance == I->amount)      // success
      {
         *SP++=I;                  // push this invoice on stack
         return SP;               // and return stack
         
      }
   }
   return 0;
}

PartialPayment
inline
MyInvoice* PartialPayment(long balance,MyInvoice* I,
                              MyInvoice* mostRecentInvoice)
// Returns the first invoice that exactly matches the balance,
//    failing an exact match, returns the invoice with the closest higher amount.  
// Returns 0 if no exact or partial match is found.
{
   MyInvoice* bestI=0;
   long bestAmount=0x7FFFFFFF;
   while (I && (I<=mostRecentInvoice)) {
      if (I->amount == balance)
      {
         return I;
      }
      
      if (I->amount > balance)
      {
         if (I->amount < bestAmount)
         {
            bestI=I;
            bestAmount=I->amount;
         }
      }
      I=I->next;
   }
   return bestI;
}

ReconcilePayments
long ReconcilePayments (
   const Invoice theInvoices[],
   const Payment thePayments[],
   Reconciliation theReconciliation[],
   long numberOfReconciliationRecords,
   long *lateDollarDays )
// Attempts to reconcile all invoices with the payments and computes the 
//   lateDollarDays.
// Returns the number of ReconciliationRecords actually filled out.
{
                              
   // Prepare private copies of invoices                              
   long numInvoices=Count(theInvoices);
   MyInvoice* INV = new MyInvoice[numInvoices];
   
   MyInvoice* I = INV;
   const Invoice*   theI = theInvoices;
   MyInvoice iList=MyInvoice(INV,0);
   MyInvoice* mostRecentInvoice = &iList;
   
   // Link all invoices into a list
   for (int i=0;i<numInvoices;i++,theI++)
   {
      MyInvoice* nextInvoice=I+1;
      *I=MyInvoice(*theI,nextInvoice,mostRecentInvoice);
      mostRecentInvoice=I;
      I=nextInvoice;
   }
   mostRecentInvoice->next=0;
         
   // Prepare private copies of payments   
   long numPayments=Count(thePayments);
   MyPayment* PAY = new MyPayment[numPayments];
   MyPayment* P = PAY;
   const Payment*   theP = thePayments;
   MyPayment pList=MyPayment(PAY,0);
   MyPayment* lastPayment = &pList;
   
   // Link all payments into a list
   for (int p=0;p<numPayments;p++,theP++)
   {
      MyPayment* nextPayment=P+1;
      *P = MyPayment(*theP,nextPayment,lastPayment);
      lastPayment=P;
      P=nextPayment;
   }
   lastPayment->next=0;
   long lastPayday=(-P)->day;
   
   Reconciliation* R = theReconciliation;
                  // shorthand for a long variable name
   long maxR = numberOfReconciliationRecords;
                  // shorthand for a long variable name

   // Get memory for a stack for the non-recursive search
   long stackSize=1 + numInvoices;
   MyInvoicePtr*    iStack=new MyInvoicePtr[stackSize];
   
   long numR=0;
   long lateDD=0;
   
/* PHASE 1 
   Scan all payments, trying to match single or multiple invoices against them
*/
   for (P=pList.next; P; P=P->next)
   {
      I=iList.next;
      if (I==0) break;         // invoice list is empty: we're done 
      long amount=P->amount;
      long theDay=P->day;
      
      // scan forward through invoices to find a perfect match for a single invoice
      MyInvoice* perfectMatch=0;
      mostRecentInvoice=0;
      while (I && (I->day <= theDay))   
      {
         if (I->amount == amount)
         {
            perfectMatch=I;      // break on earliest match found
            break;
         }
         mostRecentInvoice=I;
         I=I->next;
      }
      P->mostRecentInvoice=mostRecentInvoice;
                  // side effect: gets invoice range for each payment
      
      // use earliest perfect match if there is one
      if (perfectMatch)   
      {
         lateDD += Reconcile(amount,R[numR++],*perfectMatch,*P);
         P->Remove();         // remove payment from list   
         perfectMatch->Remove();   // this invoice can be removed
         
         if (numR >= maxR)      // all available recRecords used: must quit
            goto phase3;
         continue;   
      }        
      
      // try combining multiple invoices 
      MyInvoicePtr* SP=
         CombineInvoices(amount,iList.next,mostRecentInvoice,iStack);
      if (SP)
      {   
         P->Remove();         // remove payment from the list   
         I=*-SP;                  // pop one invoice from the stack
         do {
            lateDD += Reconcile(I->amount,R[numR++],*I,*P);
            I->Remove();      // this invoice can be removed
            I=*-SP;               // pop next invoice from the stack
            if (numR >= maxR)   // all available recRecords used: must quit
               goto phase3;
         } while (I);
      } 
   }

/* PHASE 2 
   Scan remaining payments, trying to match them as partial payments against the remaining invoices
*/   
   for (P=pList.next; P; P=P->next)
   {
      I=iList.next;
      if (I==0) break;         // no invoices left to balance: next phase
      long amount=P->amount;
      long theDay=P->day;
      
      // find "best" partial payment
      I=PartialPayment(amount,iList.next,P->mostRecentInvoice);   
      if (I)
      {
         P->Remove();
         lateDD += Reconcile(amount,R[numR++],*I,*P);
         if (I->amount==0)
            I->Remove();
         if (numR >= maxR)      // all available recRecords used: must quit
            break;
      }
   }
      
/* PHASE 3 
   Scan remaining invoices, adding their unpaid balances to the late dollar days
*/
phase3:
   for (I = iList.next; I; I=I->next)         
      lateDD+=(lastPayday-I->day)*I->amount;

   // free dynamic memory
   delete [] iStack;
   delete [] PAY;
   delete [] INV;
   
   *lateDollarDays = lateDD;
   return numR;
}

 

Community Search:
MacTech Search:

Software Updates via MacUpdate

PopChar 7.1 - Floating window shows avai...
We're also selling a 5-license family pack for only $25.99! PopChar helps you get the most out of your font collection. With its crystal-clear interface, PopChar X provides a frustration-free way to... Read more
BBEdit 11.1.1 - Powerful text and HTML e...
BBEdit is the leading professional HTML and text editor for the Mac. Specifically crafted in response to the needs of Web authors and software developers, this award-winning product provides a... Read more
Picasa 3.9.139 - Organize, edit, and sha...
Picasa and Picasa Web Albums allows you to organize, edit, and upload your photos to the Web from your computer in quick, simple steps. Arrange your photos into folders and albums and erase their... Read more
Mac DVDRipper Pro 5.0.5 - Copy, backup,...
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
NetShade 6.2 - Browse privately using an...
This promotion is for NetShade and 1 year of Proxy and VPN services NetShade is an anonymous proxy and VPN app+service for Mac. Unblock your Internet through NetShade's high-speed proxy and VPN... Read more
CrossOver 14.1.3 - Run Windows apps on y...
CrossOver can get your Windows productivity applications and PC games up and running on your Mac quickly and easily. CrossOver runs the Windows software that you need on Mac at home, in the office,... Read more
Little Snitch 3.5.3 - Alerts you about o...
Little Snitch gives you control over your private outgoing data. Track background activity As soon as your computer connects to the Internet, applications often have permission to send any... Read more
OmniGraffle Pro 6.2.3 - Create diagrams,...
OmniGraffle Pro helps you draw beautiful diagrams, family trees, flow charts, org charts, layouts, and (mathematically speaking) any other directed or non-directed graphs. We've had people use... Read more
OmniFocus 2.2 - GTD task manager with iO...
OmniFocus helps you manage your tasks the way that you want, freeing you to focus your attention on the things that matter to you most. Capturing tasks and ideas is always a keyboard shortcut away in... Read more
1Password 5.3.2 - Powerful password mana...
1Password is a password manager that uniquely brings you both security and convenience. It is the only program that provides anti-phishing protection and goes beyond password management by adding Web... Read more

MooVee - Your Movies Guru (Entertainmen...
MooVee - Your Movies Guru 1.0 Device: iOS iPhone Category: Entertainment Price: $1.99, Version: 1.0 (iTunes) Description: MooVee helps you effortlessly manage your movies, on your iPhone. | Read more »
Geometry Wars 3: Dimensions (Games)
Geometry Wars 3: Dimensions 1.0.0 Device: iOS Universal Category: Games Price: $4.99, Version: 1.0.0 (iTunes) Description: Enjoy the next chapter in the award-winning Geometry Wars franchise and enjoy stunning, console-quality... | Read more »
CHAOS RINGS Ⅲ (Games)
CHAOS RINGS Ⅲ 1.0.0 Device: iOS Universal Category: Games Price: $19.99, Version: 1.0.0 (iTunes) Description: The newest addition to the popular smartphone RPG series is finally here! ・CHAOS RINGS Overview | Read more »
The Popular Insight Series of Travel Gui...
Getting around in a country when you can't understand the primary language can be tough. Fortunately there are several options available to help wold travellers with the important stuff like giving directions to a cab driver or asking where the... | Read more »
Desktop Dungeons is Now on the iPad Desp...
Desktop Dungeons has been a well-loved roguelike on PC for quite some time, and now it's finally available for the iPad! Just the iPad, though. Sorry iPhone users. [Read more] | Read more »
Moleskine Timepage – Calendar for iCloud...
Moleskine Timepage – Calendar for iCloud, Google & Exchange 1.0 Device: iOS iPhone Category: Productivity Price: $4.99, Version: 1.0 (iTunes) Description: The most elegant calendar for your pocket and wrist, Timepage is a... | Read more »
QuizUp Gets Social in its New Update
Plain Vanilla Corp has released a new and improved version of their popular trivia game, QuizUp. The app now emphasizes social play so you can challenge friends from all over the world. [Read more] | Read more »
The Deep (Games)
The Deep 1.0 Device: iOS Universal Category: Games Price: $1.99, Version: 1.0 (iTunes) Description: Swipe Controls Delve into the deep in this retro rogue-like! Swipe to move your diver around and keep away from the enemies as you... | Read more »
Sproggiwood (Games)
Sproggiwood 1.2.8 Device: iOS Universal Category: Games Price: $9.99, Version: 1.2.8 (iTunes) Description: Sproggiwood was developed for devices with at least 1GB of RAM. We recommend you only download Sproggiwood if your device... | Read more »
Battle of Gods: Ascension (Games)
Battle of Gods: Ascension 1.0 Device: iOS Universal Category: Games Price: $2.99, Version: 1.0 (iTunes) Description: TURN-BASED TACTICAL COMBATFight tactical battles against the forces of Hades! In Battle of Gods: Ascension you play... | Read more »

Price Scanner via MacPrices.net

Apple refurbished 2014 13-inch Retina MacBook...
The Apple Store has Apple Certified Refurbished 2014 13″ Retina MacBook Pros available for up to $400 off original MSRP, starting at $979. An Apple one-year warranty is included with each model, and... Read more
What Would the ideal Apple Productivity Platf...
For the past four years I’ve kept a foot in both the Mac and iPad camps respectively. my daily computing hours divided about 50/50 between the two devices with remarkable consistency. However, there’... Read more
PageMeUp 1.2.1 Ten Dollar Page Layout Applica...
Paris, France-based Softobe, an OS X software development company, has announced that their PageMeUp v. 1.2.1, is available on the Mac App Store for $9.99. The license can be installed on up to 5... Read more
Eight New Products For USB Type-C Application...
Fresco Logic, specialists in advanced connectivity technologies and ICs, has introduced two new product families targeting the Type-C connector recently introduced across a number of consumer... Read more
Scripps National Spelling Bee Launches Buzzwo...
Scripps National Spelling Bee fans can monitor the action at the 2015 Spelling Bee with the new Buzzworthy app for iOS, Android and Windows mobile devices. The free Buzzworthy app provides friendly... Read more
13-inch 2.5GHz MacBook Pro on sale for $120 o...
B&H Photo has the 13″ 2.5GHz MacBook Pro on sale for $979 including free shipping plus NY sales tax only. Their price is $120 off MSRP, and it’s the lowest price for this model (except for Apple’... Read more
27-inch 3.3GHz 5K iMac on sale for $1899, $10...
B&H Photo has the new 27″ 3.3GHz 5K iMac on sale for $1899.99 including free shipping plus NY tax only. Their price is $100 off MSRP. Read more
Save up to $50 on iPad Air 2, NY tax only, fr...
B&H Photo has iPad Air 2s on sale for up to $50 off MSRP including free shipping plus NY sales tax only: - 16GB iPad Air 2 WiFi: $469 $30 off - 64GB iPad Air 2 WiFi: $549.99 $50 off - 128GB iPad... Read more
Updated Mac Price Trackers
We’ve updated our Mac Price Trackers with the latest information on prices, bundles, and availability on systems from Apple’s authorized internet/catalog resellers: - 15″ MacBook Pros - 13″ MacBook... Read more
New 13-inch 2.9GHz Retina MacBook Pro on sale...
B&H Photo has the 13″ 2.9GHz/512GB Retina MacBook Pro on sale for $1699.99 including free shipping plus NY tax only. Their price is $100 off MSRP, and it’s the lowest price for this model from... Read more

Jobs Board

Program Manager, *Apple* Community Support...
**Job Summary** Apple Support Communities ( discussions. apple .com) helps customers get the most from their Apple products and services by providing access to Read more
Senior Data Scientist, *Apple* Retail - Onl...
**Job Summary** Apple Retail - Online sells Apple products to customers around the world. In addition to selling Apple products with unique services such as iPad Read more
*Apple* Solutions Consultant - Retail Sales...
**Job Summary** As an Apple Solutions Consultant (ASC) you are the link between our customers and our products. Your role is to drive the Apple business in a retail Read more
*Apple* Watch SW Application Project Manager...
**Job Summary** The Apple Watch software team is looking for an Application Engineering Project Manager to work on new projects for Apple . The successful candidate Read more
Engineering Manager for *Apple* Maps on the...
…the Maps App Team get to take part in just about any new feature in Apple Maps, often contributing a majority of the feature work. In our day-to-day engineering work, we Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.