Challenge 08: Illuminati

A common meme on the Interwebs is the Illuminati meme, which usually involves some sort of convoluted series of mathematical operations on a number to prove that there is some vast global conspiracy controlling all the things ¹.

For instance, here is proof that Jay-Z is working with the devil:

Jay Z did 22 2's first. Now 4:44

222 + 444= 666 #illuminati pic.twitter.com/XUfamDVQMG

— KONNYKON-Zeus's Yout (@KONNYKON_) June 30, 2017

To be fair, Taylor Swift is also an alleged agent of the Illuminati², as explained in this Mashable article:

Schreck was high priestess of the Church of Satan from 1985-1990, which is very suspicious, because Taylor Swift talks a big game about being born in 1989. Naming her smash hit album 1989 is clearly TayTay LaVey's desperate attempt to emphasize that she had a normal human birth and was not cultivated in a cauldron and/or laboratory. The whole thing reeks of a coverup.

For this programming challenge, you are to write a program that decides whether or not a series of numbers can be manipulated into yielding the number 13, which is a very special Illuminati number:

There are 13 members in covens and satanic cults - 12 regular members and one high priest. This is a mirroring of 12 jurors + 1 judge = 13. There are 13 high occult families that run the world.

For instance, given the tuple {1, 2, 3, 4, 5}, you are to consider arithmetic expressions in the following form:

(((Int1 Op1 Int2) Op2 Int3) Op3 Int4) Op4 Int5

Where Int1, Int2, Int3, Int4, and Int5 represent some permutation of {1, 2, 3, 4, 5} and Op1, Op2, Op3, and Op4 is an arithmetic operation such as addition, subtraction, or multiplication.

In the example above, the tuple {1, 2, 3, 4, 5} could be manipulated into the following expression to yield 13:

2 + 3 + 4 + 5 - 1 = 13

Therefore, this series of numbers could be used to prove the existence of the Illuminati.

Input

Each line of input will consist of tuples consisting of 1 to 5 elements, where each element has a value between 0 and 100 (inclusive).

You should read and process each line of input until the end of the file.

Example Input

1 3
11 2
26 2
1 1 1 1 1
1 2 3 4 5
2 3 5 7 11

Output

For each tuple, print "Illuminati!" if there exists an arithmetic expression (as described above) that yields 13. Otherwise, print "Nothing to see".

Example Output

Nothing to see
Illuminati!
Nothing to see
Nothing to see
Illuminati!
Illuminati!

Submission

To submit your work, follow the same procedure you used for Reading 01:

$ cd path/to/cse-38472-su19-assignments     # Go to assignments repository
$ git checkout master                       # Make sure we are on master
$ git pull --rebase                         # Pull any changes from GitLab

$ git checkout -b challenge08               # Create and checkout challenge08 branch

$ $EDITOR challenge08/program.cpp           # Edit your code

$ git add challenge08/program.cpp           # Stage your changes
$ git commit -m "challenge08: done"         # Commit your changes

$ git push -u origin challenge08            # Send changes to GitLab

To check your code, you can use the .scripts/submit.py script or curl:

$ .scripts/submit.py
Submitting challenge08 assignment ...

Submitting challenge08 code ...
  Result Success
   Score 6.00
    Time 0.41

$ curl -F source=@challenge08/program.cpp  https://dredd.h4x0r.space/code/cse-34872-su19/challenge08
{"score": 6, "result": "Success"}

Once you have commited your work and pushed it to GitLab, member to create a merge request.