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Catch the spy 8000

This repository solves the following puzzle from the book "Algorithmic Puzzles" by Anany Levitin and Maria Levitin.

In a computer game, a spy is located on a one-dimensional line. At time 0, the spy is at location a. With each time interval, the spy moves b units to the right if b≥0, and |b| units to the left if b<0. Both a and b are fixed integers, but they are unknown to you. Your goal is to identify the spy’s location by asking at each time interval (starting at time 0) whether the spy is currently at some location of your choosing. For example, you can ask whether the spy is currently at location 19, to which you will receive a truthful yes/no answer. If the answer is “yes,” you reach your goal; if the answer is “no,” you can ask the next time whether the spy is at the same or another location of your choice. Devise an algorithm that will find the spy after a finite number questions.

Solution

Since the only interaction with the spy is through an interface that asks if the spy is at some location, the spy is implemented as a server and the solvers are implemented as clients -- one each in Common Lisp and Python.

Server

I wanted to play with a Common Lisp server so the server is written using the popular Hunchentoot server. It is a simple Web Server that both shows the results on a browser and also returns its state via HTTP Headers. The automated solvers use the HTTP Headers.

Setup

There are two options to run this game: (1) Docker or (2) install lisp and dependencies.

Docker

docker build -t spy .
Running
docker run -p 4242:4242 -i spy

Install Dependencies

Running

The following will start the spy game server on port 4242.

sbcl --load spy.lisp

You can navigate to it by visiting http://localhost:4242.

Python client

The Python client, written in Python 2, should work as easily as follows

./solve.py

Lisp client

To run the lisp client

  1. Install sbcl.
  2. Install quicklisp.

Running

sbcl --load solve.lisp --quit

License

GNU Affero General Public License v3.0

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Solve the puzzle, catch the spy

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