We prove that completing an untimed, unbounded track in TrackMania Nations Forever is NP-complete by using a reduction from 3-SAT and showing that a solution can be checked in polynomial time.doi:10.48550/arXiv.1411.5765Franck Dernoncourt
SUBSET-SUM is NP-Complete SUBSET-SUM is NP-Complete •The SUBSET-SUM problem:–Instance: We are given a set S of positive integers, and a target integer t.–Question: does there exist a subset of S adding up to t?•Example: {1, 3, 5, 17, 42, 391}, target 50 –The subset ...
Many combinatorial puzzles with simple rules are NP-hard [1–3]. Show abstract Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems 2014, Journal of Optimization Theory and Applications On the hardness of solving edge matching puzzles as SAT or CSP problems 2013, Constra...
k-LSAT is NP-Complete for k≥3k-LSAT(k≥3)是NP-完全的 合取范式(conjunctive normal form,简称CNF)公式F是线性公式,如果F中任意两个不同子句至多有一个公共变元.如果F中的任意两个不同子句恰好含有一个公共变元,则称F是严... 许道云,邓天炎,张庆顺 - 《软件学报》 被引量: 23发表: 2008年 $k$...
The Hamiltonian Cycle Problem is NP-Complete
In this paper, we shall prove that the decision version of MMN is strongly NP-complete, using the reduction from the well-known 3-SAT problem, which requires a number of gadgets. The gadgets have similar structures, but play different roles in simulating the 3-SAT formula. The reduction ...
This hand-out provides a proof (according to the one presented in [Pap94]) that the problem MAX2SAT is a NP-complete problem. To do attain such result we start by giving some previous account on satisfiability and motivating the problem of MAX2SAT . In the sequel we present the required...
In this section we prove that splitting number is NP-complete, by reducing the NP-complete problem 3-satisfiability [1] to splitting number. These problems are defined as follows: 3-satisfiability (3SAT) Instance: Set U of variables, collection C of clauses over U such that each clause c...
The player wins by cre- ating the 2048 valued tile, hence the name. We study the complexity of a slightly adapted version and prove that a number of natural decision problems turn out to be NP-Complete. We reduce from 3SAT and implement our reduction as an online game....
In a Hiroimono puzzle, one must collect a set of stones from a square grid, moving along grid lines, picking up stones as one encounters them, and changing direction only when one picks up a stone. We show that deciding the solvability of such puzzles isNP-complete....