Polynomial-time problems are a class of decision problems in computational complexity theory that can be solved by an algorithm in polynomial time, which means that the time taken to solve the problem is proportional to a polynomial function of the size of the input.
The 3SUM problem is a classic algorithmic problem in computer science, particularly in the fields of computer algorithms and complexity theory. The problem can be stated as follows: Given an array of integers, the task is to determine if there exist three distinct indices \( i, j, k \) such that the sum of the elements at these indices is equal to zero, i.e.
The Element Distinctness problem is a fundamental problem in computer science and algorithms, particularly in the area of data structures and complexity theory. The problem can be succinctly described as follows: **Problem Statement:** Given a set of \( n \) elements, determine if all the elements are distinct or if there are any duplicates in the set.
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