# 2013 SCHOLARSHIP EXAMINATION PRACTICAL SECTION

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1 2013 SCHOLARSHIP EXAMINATION PRACTICAL SECTION DEPARTMENT COURSE TITLE TIME ALLOWED NUMBER OF QUESTIONS IN PAPER NUMBER OF QUESTIONS TO BE ANSWERED GENERAL INSTRUCTIONS SPECIAL INSTRUCTIONS CALCULATORS PERMITTED Computer Science Year 13 Scholarship Six hours with a break for lunch at the discretion of the supervisor. Three Three Candidates are to answer ALL THREE questions. All questions are important. Answer as much of each question as you can. Plan your time to allow a good attempt at each question, but be aware that Question 3 is the most difficult and will take considerably longer than the others. Please hand in listings, notes and answers to written questions, and a CD/DVD with your program/computer work for each question. Please make sure that a copy of each program is printed, or stored as a plain text file. You cannot assume that the examiner has available any special software that might be required to read your files. Candidates may use any text or manual for reference during the examination. Yes TURN OVER

3 -3- It may not be possible to have the spreadsheet perform all calculations automatically. Your task is to perform as much as possible using spreadsheet calculations. You should not use any macros, or built-in programming language just use spreadsheet operations and the built-in functions. Where the user must carry out some operations by hand possibly copying parts of the spreadsheet from one area to another, possibly doing sorting operations please provide instructions. Step One For each group of teams in part one, make a table, showing the matches played by each team, and providing places in which results can be entered. Step Two For each group display the sorted results, with the winner first and others listed below in order of descending results. It does not matter in what order you display tied teams (teams with the same score). Step Three Transfer the winning teams from each group to form a final group. As in step one, there should be a table into which part two match results can be placed. Step Four Display the final sorted results for the part two group. Step Five Write instructions for the user of your spreadsheet. This should explain how to enter team names, how to read the draw and enter match results, and any operations that need to be performed by hand. You can write this on paper, or use a text editor, or a word processor. TURN OVER

5 -5-3. Shotcube (Problem Solving and Programming) Your programming work in this question will be assessed on two criteria: (a) Your approach to the problem. We will be looking at your work for evidence that you found good ways of storing the necessary data, and devised algorithms for finding and displaying the requested results. Please hand in any notes and diagrams which describe what you are attempting to program, even if you don t have time to code or complete it. (b) The extent to which your program works and correctly solves the problem. You may find that the programming language you use makes it difficult to work as shown in the example implementations below. If this is the case, feel free to build your program in a way that suits your way of working. Namco Bandai s video game Tales of Graces introduces a puzzle minigame known as Shotcube. In this game you have 9 cubes placed on a 7 by 7 square grid. The objective is to rearrange the cubes so that they all lie in a 3-by-3 square. In the video game, this square must be in the exact centre of the grid, but for this problem, the 3-by-3 square may be anywhere on the grid. The only way to rearrange the cubes is to shoot at them from the outside of the grid. If there is a cube on an edge (or corner) of the grid, you may shoot it to push it in a straight line, in which it will keep moving until it hits another cube, at which point it stops. You may only shoot a cube if there is another cube in its path which stops it. If you shoot a cube in a direction such that one or more cubes are immediately behind it, all of those cubes will move in unison until the farthest cube hits another cube (after having travelled at least one grid square), at which point all of them stop. Consider the grid below. The arrows mark the three legal shots; no other shots are legal, either because there is no cube on the edge of the grid, or because there is no cube present to stop the motion of the shot cube(s). The three grids below that indicate the result of shooting the first row to the right, the first column down, and the fifth column down. (Question 3 continued on next page)

6 -6- Your task is to write a program to supervise a game of shotcube. It should allow a player to enter a game layout and then make moves. If the player tries to make an illegal move, then the program should state that the move is illegal. If the game reaches a point at which no further moves are legal, it should announce that the player has lost. If the game reaches a point at which the nine cubes form a square (anywhere on the grid), then the program should announce that the player has won. Stage 1: The first step is to be able to read game layout into your program. You are free to do this however you like, but your program must have a way to enter new games. A way of doing this at the command line is to have an interaction something like this (underlined text entered by the program user): Enter locations for the 9 cubes as row(1-9) followed by column(1-9) Cube 1: 1 3 Cube 2: 1 4 Cube 3: 1 5 Cube 4: 2 3 Cube 5: 2 4 Cube 6: 2 5 Cube 7: 3 3 Cube 8: 3 5 Cube 9: 7 4 Stage 2: Write instructions to display the game grid. Using the console, it is possible to produce a clear display. Here is an example. The exact format is up to you. Stage 3: Allow the user to enter a move. You can choose how a move should be entered. Stage 4: Perform the move and display the updated grid. Stage 5: Check for the game having been won or lost.

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