CYK algorithm

Hey there kiddo! Have you ever heard of a game called Scrabble, where you have to make words by placing tiles on a board?
Well, imagine if you had a very long word jumbled up and you wanted to know if it was a word that you could make in Scrabble, but you didn't want to go through every possible arrangement of letters to check. That's where the CYK algorithm comes in!

The CYK algorithm is like a special map that helps you figure out if a word can be made from other smaller words or letters. It's called CYK because that's the name of the people who first figured it out - Cocke, Younger, and Kasami.

Here's how it works:
First, you need to break down the big word into smaller pieces. Then, you create a table with all of the possible combinations of the smaller pieces. For example, if you had the word "dog" and you knew that "d" and "o" were both valid letters, you would make a table with "d" in the first row and "o" in the first column.

Next, you use some special rules to fill in the rest of the table. These rules tell you if you can make a bigger word by combining the two smaller words or letters that touch at a certain cell in the table.

Finally, you check to see if the big word you're trying to make is in the last cell of the table. If it is, then you know that it can be made from the smaller pieces. If it's not, then you know it's not a valid word.

So there you have it, kiddo! The CYK algorithm is like a Scrabble helper that uses special rules and a table to figure out if you can make a big word from smaller pieces. Pretty cool, huh?