Problems from Cybernauts NPC 2018 Mock

2Sat, Adhoc, ApolloneasTheorem, Backtracking, BFS, Bignum, BinarySearch, BipartiteMatching, Bitmask, BruteForce, ChineseRemainderTheorem, Combinatorics, ConvexHull, CutVertex, DataStructure, DFS, DigitDP, DisjointSets, DivideAndConquer, DP, Eertree, EulerTour, ExpectedValue, FenwickTree, FFT, Flow, Game, GCD, Geometry, Graph, Greedy, Hashing, HeavyLightDecomposition, Implementation, InclusionExclusion, Interactive, KnuthMorrisPratt, LowestCommonAncestor, Math, Matrix, MatrixExponentiation, MergeSortTree, ModularExponentiation, MOSAlgorithm, MST, NTT, NumberTheory, Parsing, PersistentLiChaoTree, PersistentSegmentTree, PollardRho, PriorityQueue, Probability, Queue, RabinMiller, RangeOrderStatistics, Scheduling, SegmentTree, ShortestPath, Simulation, Sorting, SparseTable, SpragueGrundyTheorem, SqrtDecomposition, Stack, String, StronglyConnectedComponents, SuffixStructure, TernarySearch, Tree, Trie, TwoPointer, WaveletTree