斯坦福大学开放课程——编程方法 作业1-4

本文介绍了一种使用Karel机器人在任意大小的世界中找到1st Street中间位置并放置一个蜂鸣器的算法。该算法允许Karel放置临时蜂鸣器辅助定位,但最终仅保留一个蜂鸣器在中点。

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Problem 4 

As an exercise in solving algorithmic problems, program Karel to place a single beeper at the center of 1st Street. For example, if Karel starts in the world 

 

it should end with Karel standing on a beeper in the following position: 

 

Note that the final configuration  of the world should have only a single beeper at the midpoint of 1st Street.  Along the way, Karel is allowed to place additional beepers wherever it wants to, but must pick them all up again before it finishes. 

 

In solving this problem, you may count on the following facts about the world: 

 

  • Karel starts at 1st Avenue and 1st Street, facing east, with  an infinite number of beepers in its bag. 
  • The initial state of the world includes no interior walls or beepers. 
  • The world need not be square, but you may assume that it is at least as tall as it is wide. 

 

Your program, moreover, can assume the following simplifications: 

 

  • If the width of the world is odd, Karel must put the beeper in the center square. If the width is even, Karel may drop the beeper on either of the two center squares. 
  • It does not matter which direction Karel is facing at the end of the run. 

 

There are many different algorithms you can use to solve this problem. The interesting part of this assignment is to come up with a strategy that works.

 

 

程序源代码:

 

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