abbr.凝固汽油弹，国家警察(National Police)，海军退休金(Naval Pension)

The problem is NP-hard, meaning it belongs to the class of problems that are at least as difficult as the hardest problems in NP.
这个问题是NP难问题，意味着它的难度至少与NP中最难的问题相当。
Solving a satisfiability problem in NP requires checking a polynomial number of potential solutions.
解决一个满足性问题在NP中需要检查多项式数量的可能解。
Cryptographers often seek NP-complete problems for designing secure encryption systems.
密码学家常常寻找NP完全问题来设计安全的加密系统。
NP-completeness is a central concept in computational complexity theory, dividing problems into tractable and intractable classes."
NP完全性是计算复杂性理论的核心概念，它将问题分为可处理和不可处理的类别。
Many combinatorial optimization problems, like finding the shortest path, are NP-complete.
许多组合优化问题，如寻找最短路径，都是NP完全的。
It's conjectured that P ≠ NP, implying that some NP problems may never be solved efficiently.
人们推测P不等于NP，这意味着有些NP问题可能永远无法有效解决。
The Traveling Salesman Problem, a classic NP-problem, asks for the shortest possible route to visit all cities exactly once.
旅行商问题，一个经典的NP问题，询问的是访问所有城市恰好一次的最短路线。
NP stands for 'nondeterministic polynomial time', referring to the hypothetical power of a machine that can guess the correct answer quickly."
NP代表“非确定性多项式时间”，指的是假设机器能够快速猜测正确答案的能力。
If a problem can be solved in polynomial time by a non-deterministic Turing machine, it is considered to be in NP.
如果一个问题可以被非确定性图灵机在多项式时间内解决，那么它被认为属于NP。
The study of NP-completeness helps researchers understand which problems are inherently difficult, even if they don't have an efficient solution yet.
研究NP完全性有助于研究人员理解哪些问题是本质上困难的，即使目前还没有有效的解决方案。