Is this written correctly:
Your explanation of dynamic programming it good. It's an effective method that dissects a problem into smaller, solvable subproblems, storing their solutions to prevent unnecessary computations. This is especially beneficial in problems where the same subproblems are repeatedly solved, like the Fibonacci sequence you mentioned. As you mentioned, it can escalate space complexity due to the storage of all calculated values. It's vital to weigh the trade-off between time and space complexity when opting for dynamic programming. It's not always easy to identify the state representation or the transition function. Dynamic programming is a good tool for tackling complex problems, but it's not a universal solution and should be employed wisely.