
Pseudopolynomial Time
Pseudopolynomial time refers to an algorithm whose running time depends on the numerical value of the input, not just its size. For example, if an algorithm's time grows with the actual number (like the amount of money or the maximum value in a list), it might be polynomial concerning that number, but exponential relative to the input size (such as the number of digits). This means it can be efficient for small numbers but becomes impractical as the numbers grow large. Essentially, pseudopolynomial algorithms are efficient in some cases but not universally, bridging the gap between polynomial and exponential time depending on input sizes.