Complexity analysis

Complexity analysis is like planning for a trip with your family. You want to know how long it will take you to reach your destination and how much effort it will take to get there.

Computer programs work the same way. We want to know how many steps it will take for the program to solve a problem, and how long it will take for it to finish. This is called the complexity of the program.

Just like planning for a trip, we use different tools to measure the complexity of a program. We use time and space to help us measure how complex a program is. Time represents how long the program takes to run, and space represents how much memory it needs to use.

For example, if we want to find the largest number in a list, we can use different techniques. We can look at each number in the list one by one and select the largest, which will take a lot of time and effort. Alternatively, we can first sort the list and then choose the last number which will take less time and effort.

So, in complexity analysis, we look at these techniques and compare them to see which one is faster and uses less memory. This helps us choose the best technique for the problem we are solving.

In summary, complexity analysis is like planning for a trip for computers. We use different tools to measure how complex a program is, which helps us choose the best technique for solving a problem.