Average-case complexity

Hey there little one, do you know what complexity means? It's a big word that means how hard or easy something is to solve or understand. Average-case complexity is a way to measure how hard or easy it is to solve a problem by looking at the average amount of time it takes to solve it.

Let's say you have a fun game where you have to guess a number between 1 and 10. If you guess the right number, you win! Now imagine you have to play this game 100 times. Sometimes, the number you have to guess is easy and you can guess it quickly, but other times, it's hard and takes you longer to guess.

Average-case complexity looks at how long it would take you on average to guess the right number. If the number is randomly picked, it would take you an average of 5 guesses to get it right. This means the average-case complexity of this game is 5.

In real life, we use average-case complexity to analyze how hard or easy it is to solve problems like sorting a list of numbers or finding the shortest route between two places. By knowing the average-case complexity, we can figure out how long it would take to solve the problem on average and come up with better solutions to solve them faster.