Okay kiddo, so imagine you have to solve a puzzle. When you try to solve it, you have to make some moves or steps to get closer to the solution. Similarly, computers also have to solve problems by taking some steps, which we call algorithms. PRAM algorithms are a type of algorithm that are used to solve big problems.
Now imagine a bunch of ants trying to move a big piece of food. They can all push the food from different sides to make it move faster. In the same way, PRAM algorithms work by having many processors (like ants) working together to solve problems. These processors can work on different parts of the problem at the same time, making the solution faster.
But we need to know how efficient the algorithm is in solving problems. Just like you might try different ways to solve a puzzle to see which one is faster, we need to analyze how fast the PRAM algorithm is in solving a problem. This is where the analysis of PRAM algorithms comes in. We measure the efficiency of the algorithm by counting the number of processors, the time it takes to solve the problem, and the amount of communication between the processors.
So, when we analyze a PRAM algorithm, we are checking to make sure that all the processors are working together and that they are working efficiently. By doing this, we can make sure that the algorithm is solving the problem quickly and using as little resources as possible.