ALA Menu 4 Dessert 2 Believe it or not, but the ACME Company has another defective robot! Since you have shown some aptitude for controlling their defective robots in the past, they are once again calling on you to try to help. The robot takes commands of the form (a,b), which will make the robot move in a straight line so that by the end of its journey it will have moved a meters to the east and b meters to the north. A defective robot will interpret the command (a,b) as the command (a+b, a-b). 1. Consider the following sequence of commands: ▪ (1,1) ▪ (3,0) (-1,2) If a working robot and a defective robot start at the same point and follow these commands, where will they end up? 2. If a working robot and a defective robot start at the same point and are given the command (3,3), where will they end up? 3. Find a sequence of instructions that will make a defective robot end up at the point (3,3). Find a sequence of instructions that will make a defective robot end up at point (x,y). 4. (Challenge) Repeat the above three questions with the change that the defective robot interprets (a,b) as (a+b, 2a+2b). How does your answer to question 3 change? Why?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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**ALA Menu 4 Dessert 2**

Believe it or not, the ACME Company has another defective robot! Since you have shown some aptitude for controlling their defective robots in the past, they are once again calling on you to try to help.

The robot takes commands of the form (a,b), which will make the robot move in a straight line so that by the end of its journey it will have moved a meters to the east and b meters to the north.

A defective robot will interpret the command (a,b) as the command (a+b, b-a).

1. Consider the following sequence of commands:
   - (1,1)
   - (3,0)
   - (-2,1)

2. If a working robot and a defective robot start at the same point and follow these commands, where will they end up?

3. Given the command (3,3), where will they end up?

4. Find a sequence of instructions that will make a defective robot end up at the point (3,3). Find a sequence of instructions that will make a defective robot end up at point (x,y).

5. (Challenge) Repeat the above three questions with the change that the defective robot interprets (a,b) as (a+2b, 2a+2b). How does your answer to question 3 change? Why?
Transcribed Image Text:**ALA Menu 4 Dessert 2** Believe it or not, the ACME Company has another defective robot! Since you have shown some aptitude for controlling their defective robots in the past, they are once again calling on you to try to help. The robot takes commands of the form (a,b), which will make the robot move in a straight line so that by the end of its journey it will have moved a meters to the east and b meters to the north. A defective robot will interpret the command (a,b) as the command (a+b, b-a). 1. Consider the following sequence of commands: - (1,1) - (3,0) - (-2,1) 2. If a working robot and a defective robot start at the same point and follow these commands, where will they end up? 3. Given the command (3,3), where will they end up? 4. Find a sequence of instructions that will make a defective robot end up at the point (3,3). Find a sequence of instructions that will make a defective robot end up at point (x,y). 5. (Challenge) Repeat the above three questions with the change that the defective robot interprets (a,b) as (a+2b, 2a+2b). How does your answer to question 3 change? Why?
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