# BUSTED | FIBONACCI SEQUENCE AND THE CAESAR CIPHER

A couple of days ago, I started to re-watch Busted Season 1.

Busted is a Netflix Korean Variety program that stars Yoo Jae Suk, Kim Jong Min, Lee Kwang Soo, Ahn Jae Wook, Park Min Young, Oh Se Hun, and Sejeong. Lee Seung Gi would join in Seasons 2 and 3.

Anyway, during the first Battle of the Detectives (actually, it's the only battle - considering that they teamed up in the succeeding seasons), the Genius team solved two cases using two encryption techniques.

###### CAESAR CIPHER

A Caesar cipher is a simple encryption technique that was used by Julius Caesar to protect his private communications. The Caesar cipher works by shifting each letter of the alphabet a certain number of places down the alphabet. For example, if the shift is three, then "A" would become "D", "B" would become "E", and so on. The recipient of the message can then decrypt it by shifting each letter back to the same number of places.

The Caesar cipher is a type of substitution cipher, where one letter is substituted for another. It is a very basic form of encryption and is easily broken, but it was an effective way for Julius Caesar to keep his messages secret from his enemies.

The Caesar cipher is named after Julius Caesar, who is credited with inventing it. However, it is possible that the technique was used earlier by other cultures. The Caesar cipher is also known as a shift cipher or a Caesar shift.

*Example: TZESJGJFE = SYDRIFIED *

###### FIBONACCI SEQUENCE

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding numbers. The sequence starts with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on. The sequence is named after the Italian mathematician Leonardo Fibonacci, who introduced it to the Western world in his book "Liber Abaci" in 1202.

The Fibonacci sequence is a famous mathematical pattern that appears in many different areas of mathematics, science, and art. Some examples of where the Fibonacci sequence appears include:

The growth patterns of plants and animals.

The ratio of successive terms in the sequence approaches the Golden Ratio, which is an irrational number approximately equal to 1.618.

The sequence is closely related to the "golden spiral", a logarithmic spiral found in nature and in many works of art.

It is also used in many algorithms and computer programs, including those for generating random numbers and for solving optimization problems.