Number Guess Number Guess
Elementary+
English

...When you have eliminated all which is impossible, then whatever remains, however improbable, must be the truth.
Sir Arthur Conan Doyle - Sherlock Holmes

You are given an unknown number within the range of 1 to 100, inclusive. Your task is to guess what the number is by performing a series of guesses .

Your solution will need to guess the number by submitting an integer divisor ranging from 2 to 10, and the number you guessed . At each attempt you will get information as a list of tuples. Each tuple contains the remainder result along with your previous divisor.

You should find the number within 8 guesses. We will give you a little extra info on your first attempt... Use it wisely young grasshopper ...

Consider the following example:

Attempt Divisor Guess Submit Information Remark
1 2 99 (2,99) (1,5),(1,2) You try a divisor of 2 and try your luck with 99; however, you've got information as a list of tuples, returning the remainder of your previous divisor along with your previous divisor. (that means, you still need to guess)
2 3 91 (3,91) (1,5),(1,2),(2,3) Your solution may suggest 91 because it passed with the information data. Is it? ( 91%5=1; 91%2=1 )Again, you've still got no response. Guess again.
3 6 41 (6,41) (1,5),(1,2),(2,3),(5,6) Your solution might suggest 41 because it passed with the information data. ( 41%5=1; 41%2=1; 41%3=2 ) Again, you've still got no response.
4 4 71 (4,71) (1,5),(1,2),(2,3),(5,6),(3,4) Your solution may suggest 71 because it passed with the information data. ( 71%5=1; 71%2=1; 71%3=2; 71%6=5 ) Now there are only 4 remaining attempts left.
5 and, so on...
6
7
8
Attempt Divisor Guess Submit Response
1 2 99 (2,99) (1,5),(1,2)
Remark #1:
You try a divisor of 2 and try your luck with 99; however, you've got a response of a list of tuples, returning the remainder of your previous divisor and your previous divisor. ( that means you still need to guess )
2 3 91 (3,91) (1,5),(1,2),(2,3)
Remark #2:
Your solution suggests 91 because it passed with the response data, isn't it? ( 91%5=1; 91%2=1 ) Again, you've still got a response. Next guess, then.
3 6 41 (6,41) (1,5),(1,2),(2,3),(5,6)
Remark #3:
Your solution suggests 41 because it passed with the response data. ( 41%5=1; 41%2=1; 41%3=2 ) Again, you've still got a response.
4 4 71 (4,71) (1,5),(1,2),(2,3),(5,6),(3,4)
Remark #4:
Your solution suggests 71 because it passed with the response data. ( 71%5=1; 71%2=1; 71%3=2; 71%6=5 ) Again, you've still got a response.
5 and, so on...
6
7
8

You get the idea...

Input: Information about the previous attempt. A list of tuples. Each tuple contains its remainder and the previous divisor.

Output: A list of integer divisors and your best guess. A list of two integers.

Example:

checkio([(1,5)])                            # the number has a remainder 1
checkio([(1,5),(1,2)])                      # the number has a remainder 1
checkio([(1,5),(1,2),(2,3)])                # the number has a remainder 2
checkio([(1,5),(1,2),(2,3),(5,6)])          # the number has a remainder 5
checkio([(1,5),(1,2),(2,3),(5,6),(3,4)])    # the number has a remainder 3

How it is used: This is a classical prediction and decision problem. You have some indirect information and should to get hidden by it data. The skills that go into this problem could help you create a sports bracket for the office pool.

Precondition:
0 < number ≤ 100

Settings
Code:
CheckiO Extensions

CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.

In order to install CheckiO client you'll need installed Python (version at least 3.8)

Install CheckiO Client first:

pip3 install checkio_client

Configure your tool

checkio --domain=py config --key=

Sync solutions into your local folder

checkio sync

(in beta testing) Launch local server so your browser can use it and sync solution between local file end extension on the fly. (doesn't work for safari)

checkio serv -d

Alternatevly, you can install Chrome extension or FF addon

checkio install-plugin
checkio install-plugin --ff
checkio install-plugin --chromium

Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.

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