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100644 index 0000000..0e34e52 --- /dev/null +++ b/output/book.fdb_latexmk @@ -0,0 +1,355 @@ +# Fdb version 3 +["makeindex output/book.idx"] 1612133277 "output/book.idx" "output/book.ind" "output/book" 1612133640 + "output/book.idx" 1612133640 14726 a4f79dc0584fe9e391a7573780c527ed "pdflatex" + (generated) + "output/book.ind" + "output/book.ilg" +["pdflatex"] 1612133616 "book.tex" "output/book.pdf" "book" 1612133640 + "/etc/texmf/web2c/texmf.cnf" 1604433920 475 c0e671620eb5563b2130f56340a5fde8 "" + "/usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc" 1165713224 4850 80dc9bab7f31fb78a000ccfed0e27cab "" + "/usr/share/texlive/texmf-dist/fonts/enc/dvips/inconsolata/i4-t1-0.enc" 1558214095 7631 5169ff1acd97ff1c4ab83563c99f96f4 "" + "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/adobe/ncntrsbk/pncb8r.tfm" 1136768653 3220 7b5d1a9569a08754f1bdfbc1c7ad8dbd "" + 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+\indexentry{Ore's theorem|hyperpage}{177} +\indexentry{De Bruijn sequence|hyperpage}{178} +\indexentry{knight's tour|hyperpage}{179} +\indexentry{heuristic|hyperpage}{179} +\indexentry{Warnsdorf's rule|hyperpage}{179} +\indexentry{flow|hyperpage}{181} +\indexentry{maximum flow|hyperpage}{181} +\indexentry{cut|hyperpage}{182} +\indexentry{minimum cut|hyperpage}{182} +\indexentry{Ford–Fulkerson algorithm|hyperpage}{182} +\indexentry{Edmonds–Karp algorithm|hyperpage}{184} +\indexentry{scaling algorithm|hyperpage}{185} +\indexentry{minimum cut|hyperpage}{185} +\indexentry{matching|hyperpage}{187} +\indexentry{maximum matching|hyperpage}{187} +\indexentry{Hall's theorem|hyperpage}{189} +\indexentry{perfect matching|hyperpage}{189} +\indexentry{Kőnig's theorem|hyperpage}{189} +\indexentry{node cover|hyperpage}{189} +\indexentry{minimum node cover|hyperpage}{189} +\indexentry{independent set|hyperpage}{190} +\indexentry{maximum independent set|hyperpage}{190} +\indexentry{path cover|hyperpage}{190} +\indexentry{Dilworth's theorem|hyperpage}{193} +\indexentry{antichain|hyperpage}{193} +\indexentry{number theory|hyperpage}{197} +\indexentry{divisibility|hyperpage}{197} +\indexentry{factor|hyperpage}{197} +\indexentry{divisor|hyperpage}{197} +\indexentry{prime|hyperpage}{197} +\indexentry{prime decomposition|hyperpage}{197} +\indexentry{perfect number|hyperpage}{198} +\indexentry{Goldbach's conjecture|hyperpage}{199} +\indexentry{twin prime|hyperpage}{199} +\indexentry{Legendre's conjecture|hyperpage}{199} +\indexentry{sieve of Eratosthenes|hyperpage}{200} +\indexentry{harmonic sum|hyperpage}{200} +\indexentry{greatest common divisor|hyperpage}{200} +\indexentry{least common multiple|hyperpage}{200} +\indexentry{Euclid's algorithm|hyperpage}{200} +\indexentry{coprime|hyperpage}{201} +\indexentry{Euler's totient function|hyperpage}{201} +\indexentry{modular arithmetic|hyperpage}{201} +\indexentry{Fermat's theorem|hyperpage}{202} +\indexentry{Euler's theorem|hyperpage}{202} +\indexentry{modular inverse|hyperpage}{202} +\indexentry{Diophantine equation|hyperpage}{204} +\indexentry{extended Euclid's algorithm|hyperpage}{204} +\indexentry{Chinese remainder theorem|hyperpage}{205} +\indexentry{Lagrange's theorem|hyperpage}{205} +\indexentry{Zeckendorf's theorem|hyperpage}{206} +\indexentry{Fibonacci number|hyperpage}{206} +\indexentry{Pythagorean triple|hyperpage}{206} +\indexentry{Euclid's formula|hyperpage}{206} +\indexentry{Wilson's theorem|hyperpage}{206} +\indexentry{combinatorics|hyperpage}{207} +\indexentry{binomial coefficient|hyperpage}{208} +\indexentry{Pascal's triangle|hyperpage}{209} +\indexentry{multinomial coefficient|hyperpage}{210} +\indexentry{Catalan number|hyperpage}{210} +\indexentry{parenthesis expression|hyperpage}{211} +\indexentry{inclusion-exclusion|hyperpage}{212} +\indexentry{derangement|hyperpage}{213} +\indexentry{Burnside's lemma|hyperpage}{214} +\indexentry{Cayley's formula|hyperpage}{215} +\indexentry{Prüfer code|hyperpage}{216} +\indexentry{matrix|hyperpage}{217} +\indexentry{vector|hyperpage}{217} +\indexentry{transpose|hyperpage}{217} +\indexentry{square matrix|hyperpage}{217} +\indexentry{matrix multiplication|hyperpage}{218} +\indexentry{identity matrix|hyperpage}{218} +\indexentry{matrix power|hyperpage}{219} +\indexentry{determinant|hyperpage}{219} +\indexentry{cofactor|hyperpage}{219} +\indexentry{inverse matrix|hyperpage}{220} +\indexentry{linear recurrence|hyperpage}{220} +\indexentry{Fibonacci number|hyperpage}{220} +\indexentry{Kirchhoff's theorem|hyperpage}{223} +\indexentry{spanning tree|hyperpage}{223} +\indexentry{Laplacean matrix|hyperpage}{224} +\indexentry{probability|hyperpage}{225} +\indexentry{conditional probability|hyperpage}{227} +\indexentry{independence|hyperpage}{228} +\indexentry{random variable|hyperpage}{228} +\indexentry{expected value|hyperpage}{229} +\indexentry{distribution|hyperpage}{229} +\indexentry{uniform distribution|hyperpage}{230} +\indexentry{binomial distribution|hyperpage}{230} +\indexentry{geometric distribution|hyperpage}{230} +\indexentry{Markov chain|hyperpage}{230} +\indexentry{randomized algorithm|hyperpage}{231} +\indexentry{Monte Carlo algorithm|hyperpage}{231} +\indexentry{Las Vegas algorithm|hyperpage}{231} +\indexentry{order statistic|hyperpage}{232} +\indexentry{matrix multiplication|hyperpage}{232} +\indexentry{quicksort|hyperpage}{232} +\indexentry{quickselect|hyperpage}{232} +\indexentry{Freivalds' algoritm|hyperpage}{232} +\indexentry{coloring|hyperpage}{233} +\indexentry{winning state|hyperpage}{235} +\indexentry{losing state|hyperpage}{235} +\indexentry{nim game|hyperpage}{237} +\indexentry{nim sum|hyperpage}{237} +\indexentry{misère game|hyperpage}{238} +\indexentry{Sprague–Grundy theorem|hyperpage}{238} +\indexentry{Grundy number|hyperpage}{238} +\indexentry{mex function|hyperpage}{238} +\indexentry{Grundy's game|hyperpage}{241} +\indexentry{pattern matching|hyperpage}{243} +\indexentry{string|hyperpage}{243} +\indexentry{alphabet|hyperpage}{243} +\indexentry{substring|hyperpage}{243} +\indexentry{subsequence|hyperpage}{243} +\indexentry{prefix|hyperpage}{243} +\indexentry{suffix|hyperpage}{243} +\indexentry{rotation|hyperpage}{243} +\indexentry{period|hyperpage}{243} +\indexentry{border|hyperpage}{244} +\indexentry{lexicographical order|hyperpage}{244} +\indexentry{trie|hyperpage}{244} +\indexentry{hashing|hyperpage}{245} +\indexentry{string hashing|hyperpage}{245} +\indexentry{hash value|hyperpage}{245} +\indexentry{polynomial hashing|hyperpage}{245} +\indexentry{collision|hyperpage}{246} +\indexentry{birthday paradox|hyperpage}{247} +\indexentry{Z-algorithm|hyperpage}{247} +\indexentry{Z-array|hyperpage}{247} +\indexentry{square root algorithm|hyperpage}{251} +\indexentry{Mo's algorithm|hyperpage}{255} +\indexentry{segment tree|hyperpage}{257} +\indexentry{lazy propagation|hyperpage}{258} +\indexentry{lazy segment tree|hyperpage}{258} +\indexentry{dynamic segment tree|hyperpage}{261} +\indexentry{sparse segment tree|hyperpage}{261} +\indexentry{persistent segment tree|hyperpage}{262} +\indexentry{two-dimensional segment tree|hyperpage}{264} +\indexentry{geometry|hyperpage}{265} +\indexentry{Heron's formula|hyperpage}{265} +\indexentry{complex number|hyperpage}{266} +\indexentry{point|hyperpage}{266} +\indexentry{vector|hyperpage}{266} +\indexentry{complex@\texttt{complex}|hyperpage}{266} +\indexentry{cross product|hyperpage}{268} +\indexentry{line segment intersection|hyperpage}{269} +\indexentry{shoelace formula|hyperpage}{271} +\indexentry{Pick's theorem|hyperpage}{272} +\indexentry{distance function|hyperpage}{272} +\indexentry{Euclidean distance|hyperpage}{272} +\indexentry{Manhattan distance|hyperpage}{272} +\indexentry{sweep line|hyperpage}{275} +\indexentry{intersection point|hyperpage}{276} +\indexentry{closest pair|hyperpage}{277} +\indexentry{Andrew's algorithm|hyperpage}{279} diff --git a/output/book.ilg b/output/book.ilg new file mode 100644 index 0000000..511b999 --- /dev/null +++ b/output/book.ilg @@ -0,0 +1,6 @@ +This is makeindex, version 2.15 [TeX Live 2020] (kpathsea + Thai support). +Scanning input file output/book.idx....done (345 entries accepted, 0 rejected). +Sorting entries......done (3076 comparisons). +Generating output file output/book.ind....done (401 lines written, 0 warnings). +Output written in output/book.ind. +Transcript written in output/book.ilg. diff --git a/output/book.ind b/output/book.ind new file mode 100644 index 0000000..f3c505d --- /dev/null +++ b/output/book.ind @@ -0,0 +1,401 @@ +\begin{theindex} + + \item 2SAT problem, \hyperpage{160} + \item 2SUM problem, \hyperpage{78} + \item 3SAT problem, \hyperpage{162} + \item 3SUM problem, \hyperpage{79} + + \indexspace + + \item adjacency list, \hyperpage{113} + \item adjacency matrix, \hyperpage{114} + \item alphabet, \hyperpage{243} + \item amortized analysis, \hyperpage{77} + \item ancestor, \hyperpage{163} + \item and operation, \hyperpage{96} + \item Andrew's algorithm, \hyperpage{279} + \item antichain, \hyperpage{193} + \item arithmetic progression, \hyperpage{10} + + \indexspace + + \item backtracking, \hyperpage{50} + \item Bellman–Ford algorithm, \hyperpage{123} + \item binary code, \hyperpage{62} + \item binary indexed tree, \hyperpage{86} + \item binary search, \hyperpage{31} + \item binary tree, \hyperpage{139} + \item Binet's formula, \hyperpage{14} + \item binomial coefficient, \hyperpage{208} + \item binomial distribution, \hyperpage{230} + \item bipartite graph, \hyperpage{112}, \hyperpage{122} + \item birthday paradox, \hyperpage{247} + \item bit representation, \hyperpage{95} + \item bit shift, \hyperpage{97} + \item bitset, \hyperpage{41} + \item border, \hyperpage{244} + \item breadth-first search, \hyperpage{119} + \item bubble sort, \hyperpage{25} + \item Burnside's lemma, \hyperpage{214} + + \indexspace + + \item Catalan number, \hyperpage{210} + \item Cayley's formula, \hyperpage{215} + \item child, \hyperpage{133} + \item Chinese remainder theorem, \hyperpage{205} + \item closest pair, \hyperpage{277} + \item codeword, \hyperpage{62} + \item cofactor, \hyperpage{219} + \item collision, \hyperpage{246} + \item coloring, \hyperpage{112}, \hyperpage{233} + \item combinatorics, \hyperpage{207} + \item comparison function, \hyperpage{31} + \item comparison operator, \hyperpage{30} + \item complement, \hyperpage{12} + \item complete graph, \hyperpage{111} + \item \texttt{complex}, \hyperpage{266} + \item complex number, \hyperpage{266} + \item complexity classes, \hyperpage{20} + \item component, \hyperpage{110} + \item component graph, \hyperpage{157} + \item conditional probability, \hyperpage{227} + \item conjuction, \hyperpage{13} + \item connected graph, \hyperpage{110}, \hyperpage{121} + \item constant factor, \hyperpage{21} + \item constant-time algorithm, \hyperpage{20} + \item coprime, \hyperpage{201} + \item counting sort, \hyperpage{28} + \item cross product, \hyperpage{268} + \item cubic algorithm, \hyperpage{20} + \item cut, \hyperpage{182} + \item cycle, \hyperpage{109}, \hyperpage{121}, \hyperpage{149}, + \hyperpage{155} + \item cycle detection, \hyperpage{155} + + \indexspace + + \item data compression, \hyperpage{62} + \item data structure, \hyperpage{35} + \item De Bruijn sequence, \hyperpage{178} + \item degree, \hyperpage{111} + \item depth-first search, \hyperpage{117} + \item deque, \hyperpage{42} + \item derangement, \hyperpage{213} + \item determinant, \hyperpage{219} + \item diameter, \hyperpage{135} + \item difference, \hyperpage{12} + \item difference array, \hyperpage{93} + \item Dijkstra's algorithm, \hyperpage{126}, \hyperpage{153} + \item Dilworth's theorem, \hyperpage{193} + \item Diophantine equation, \hyperpage{204} + \item Dirac's theorem, \hyperpage{177} + \item directed graph, \hyperpage{110} + \item disjunction, \hyperpage{13} + \item distance function, \hyperpage{272} + \item distribution, \hyperpage{229} + \item divisibility, \hyperpage{197} + \item divisor, \hyperpage{197} + \item dynamic array, \hyperpage{35} + \item dynamic programming, \hyperpage{65} + \item dynamic segment tree, \hyperpage{261} + + \indexspace + + \item edge, \hyperpage{109} + \item edge list, \hyperpage{115} + \item edit distance, \hyperpage{74} + \item Edmonds–Karp algorithm, \hyperpage{184} + \item equivalence, \hyperpage{13} + \item Euclid's algorithm, \hyperpage{200} + \item Euclid's formula, \hyperpage{206} + \item Euclidean distance, \hyperpage{272} + \item Euler tour technique, \hyperpage{168} + \item Euler's theorem, \hyperpage{202} + \item Euler's totient function, \hyperpage{201} + \item Eulerian circuit, \hyperpage{174} + \item Eulerian path, \hyperpage{173} + \item expected value, \hyperpage{229} + \item extended Euclid's algorithm, \hyperpage{204} + + \indexspace + + \item factor, \hyperpage{197} + \item factorial, \hyperpage{14} + \item Faulhaber's formula, \hyperpage{10} + \item Fenwick tree, \hyperpage{86} + \item Fermat's theorem, \hyperpage{202} + \item Fibonacci number, \hyperpage{14}, \hyperpage{206}, + \hyperpage{220} + \item floating point number, \hyperpage{7} + \item flow, \hyperpage{181} + \item Floyd's algorithm, \hyperpage{156} + \item Floyd–Warshall algorithm, \hyperpage{129} + \item Ford–Fulkerson algorithm, \hyperpage{182} + \item Freivalds' algoritm, \hyperpage{232} + \item functional graph, \hyperpage{154} + + \indexspace + + \item geometric distribution, \hyperpage{230} + \item geometric progression, \hyperpage{11} + \item geometry, \hyperpage{265} + \item Goldbach's conjecture, \hyperpage{199} + \item graph, \hyperpage{109} + \item greatest common divisor, \hyperpage{200} + \item greedy algorithm, \hyperpage{57} + \item Grundy number, \hyperpage{238} + \item Grundy's game, \hyperpage{241} + + \indexspace + + \item Hall's theorem, \hyperpage{189} + \item Hamiltonian circuit, \hyperpage{177} + \item Hamiltonian path, \hyperpage{177} + \item Hamming distance, \hyperpage{100} + \item harmonic sum, \hyperpage{11}, \hyperpage{200} + \item hash value, \hyperpage{245} + \item hashing, \hyperpage{245} + \item heap, \hyperpage{43} + \item Heron's formula, \hyperpage{265} + \item heuristic, \hyperpage{179} + \item Hierholzer's algorithm, \hyperpage{175} + \item Huffman coding, \hyperpage{63} + + \indexspace + + \item identity matrix, \hyperpage{218} + \item implication, \hyperpage{13} + \item in-order, \hyperpage{139} + \item inclusion-exclusion, \hyperpage{212} + \item indegree, \hyperpage{111} + \item independence, \hyperpage{228} + \item independent set, \hyperpage{190} + \item index compression, \hyperpage{93} + \item input and output, \hyperpage{4} + \item integer, \hyperpage{6} + \item intersection, \hyperpage{12} + \item intersection point, \hyperpage{276} + \item inverse matrix, \hyperpage{220} + \item inversion, \hyperpage{26} + \item iterator, \hyperpage{39} + + \indexspace + + \item Kadane's algorithm, \hyperpage{23} + \item Kirchhoff's theorem, \hyperpage{223} + \item knapsack, \hyperpage{72} + \item knight's tour, \hyperpage{179} + \item Kosaraju's algorithm, \hyperpage{158} + \item Kruskal's algorithm, \hyperpage{142} + \item Kőnig's theorem, \hyperpage{189} + + \indexspace + + \item Lagrange's theorem, \hyperpage{205} + \item Laplacean matrix, \hyperpage{224} + \item Las Vegas algorithm, \hyperpage{231} + \item lazy propagation, \hyperpage{258} + \item lazy segment tree, \hyperpage{258} + \item leaf, \hyperpage{133} + \item least common multiple, \hyperpage{200} + \item Legendre's conjecture, \hyperpage{199} + \item Levenshtein distance, \hyperpage{74} + \item lexicographical order, \hyperpage{244} + \item line segment intersection, \hyperpage{269} + \item linear algorithm, \hyperpage{20} + \item linear recurrence, \hyperpage{220} + \item logarithm, \hyperpage{14} + \item logarithmic algorithm, \hyperpage{20} + \item logic, \hyperpage{13} + \item longest increasing subsequence, \hyperpage{70} + \item losing state, \hyperpage{235} + \item lowest common ancestor, \hyperpage{167} + + \indexspace + + \item macro, \hyperpage{9} + \item Manhattan distance, \hyperpage{272} + \item map, \hyperpage{38} + \item Markov chain, \hyperpage{230} + \item matching, \hyperpage{187} + \item matrix, \hyperpage{217} + \item matrix multiplication, \hyperpage{218}, \hyperpage{232} + \item matrix power, \hyperpage{219} + \item maximum flow, \hyperpage{181} + \item maximum independent set, \hyperpage{190} + \item maximum matching, \hyperpage{187} + \item maximum query, \hyperpage{83} + \item maximum spanning tree, \hyperpage{142} + \item maximum subarray sum, \hyperpage{21} + \item meet in the middle, \hyperpage{54} + \item memoization, \hyperpage{67} + \item merge sort, \hyperpage{27} + \item mex function, \hyperpage{238} + \item minimum cut, \hyperpage{182}, \hyperpage{185} + \item minimum node cover, \hyperpage{189} + \item minimum query, \hyperpage{83} + \item minimum spanning tree, \hyperpage{141} + \item misère game, \hyperpage{238} + \item Mo's algorithm, \hyperpage{255} + \item modular arithmetic, \hyperpage{6}, \hyperpage{201} + \item modular inverse, \hyperpage{202} + \item Monte Carlo algorithm, \hyperpage{231} + \item multinomial coefficient, \hyperpage{210} + + \indexspace + + \item natural logarithm, \hyperpage{15} + \item nearest smaller elements, \hyperpage{79} + \item negation, \hyperpage{13} + \item negative cycle, \hyperpage{125} + \item neighbor, \hyperpage{111} + \item \texttt{next\_permutation}, \hyperpage{49} + \item nim game, \hyperpage{237} + \item nim sum, \hyperpage{237} + \item node, \hyperpage{109} + \item node cover, \hyperpage{189} + \item not operation, \hyperpage{97} + \item NP-hard problem, \hyperpage{20} + \item number theory, \hyperpage{197} + + \indexspace + + \item or operation, \hyperpage{96} + \item order statistic, \hyperpage{232} + \item Ore's theorem, \hyperpage{177} + \item outdegree, \hyperpage{111} + + \indexspace + + \item \texttt{pair}, \hyperpage{30} + \item parent, \hyperpage{133} + \item parenthesis expression, \hyperpage{211} + \item Pascal's triangle, \hyperpage{209} + \item path, \hyperpage{109} + \item path cover, \hyperpage{190} + \item pattern matching, \hyperpage{243} + \item perfect matching, \hyperpage{189} + \item perfect number, \hyperpage{198} + \item period, \hyperpage{243} + \item permutation, \hyperpage{49} + \item persistent segment tree, \hyperpage{262} + \item Pick's theorem, \hyperpage{272} + \item point, \hyperpage{266} + \item polynomial algorithm, \hyperpage{20} + \item polynomial hashing, \hyperpage{245} + \item post-order, \hyperpage{139} + \item pre-order, \hyperpage{139} + \item predicate, \hyperpage{13} + \item prefix, \hyperpage{243} + \item prefix sum array, \hyperpage{84} + \item Prim's algorithm, \hyperpage{147} + \item prime, \hyperpage{197} + \item prime decomposition, \hyperpage{197} + \item priority queue, \hyperpage{43} + \item probability, \hyperpage{225} + \item programming language, \hyperpage{3} + \item Prüfer code, \hyperpage{216} + \item Pythagorean triple, \hyperpage{206} + + \indexspace + + \item quadratic algorithm, \hyperpage{20} + \item quantifier, \hyperpage{13} + \item queen problem, \hyperpage{50} + \item queue, \hyperpage{43} + \item quickselect, \hyperpage{232} + \item quicksort, \hyperpage{232} + + \indexspace + + \item random variable, \hyperpage{228} + \item \texttt{random\_shuffle}, \hyperpage{39} + \item randomized algorithm, \hyperpage{231} + \item range query, \hyperpage{83} + \item regular graph, \hyperpage{111} + \item remainder, \hyperpage{6} + \item \texttt{reverse}, \hyperpage{39} + \item root, \hyperpage{133} + \item rooted tree, \hyperpage{133} + \item rotation, \hyperpage{243} + + \indexspace + + \item scaling algorithm, \hyperpage{185} + \item segment tree, \hyperpage{89}, \hyperpage{257} + \item set, \hyperpage{12}, \hyperpage{37} + \item set theory, \hyperpage{12} + \item shoelace formula, \hyperpage{271} + \item shortest path, \hyperpage{123} + \item sieve of Eratosthenes, \hyperpage{200} + \item simple graph, \hyperpage{112} + \item sliding window, \hyperpage{81} + \item sliding window minimum, \hyperpage{81} + \item \texttt{sort}, \hyperpage{29}, \hyperpage{39} + \item sorting, \hyperpage{25} + \item spanning tree, \hyperpage{141}, \hyperpage{223} + \item sparse segment tree, \hyperpage{261} + \item sparse table, \hyperpage{85} + \item SPFA algorithm, \hyperpage{126} + \item Sprague–Grundy theorem, \hyperpage{238} + \item square matrix, \hyperpage{217} + \item square root algorithm, \hyperpage{251} + \item stack, \hyperpage{42} + \item string, \hyperpage{36}, \hyperpage{243} + \item string hashing, \hyperpage{245} + \item strongly connected component, \hyperpage{157} + \item strongly connected graph, \hyperpage{157} + \item subsequence, \hyperpage{243} + \item subset, \hyperpage{12}, \hyperpage{47} + \item substring, \hyperpage{243} + \item subtree, \hyperpage{133} + \item successor graph, \hyperpage{154} + \item suffix, \hyperpage{243} + \item sum query, \hyperpage{83} + \item sweep line, \hyperpage{275} + + \indexspace + + \item time complexity, \hyperpage{17} + \item topological sorting, \hyperpage{149} + \item transpose, \hyperpage{217} + \item tree, \hyperpage{110}, \hyperpage{133} + \item tree query, \hyperpage{163} + \item tree traversal array, \hyperpage{164} + \item trie, \hyperpage{244} + \item \texttt{tuple}, \hyperpage{30} + \item \texttt{typedef}, \hyperpage{8} + \item twin prime, \hyperpage{199} + \item two pointers method, \hyperpage{77} + \item two-dimensional segment tree, \hyperpage{264} + + \indexspace + + \item uniform distribution, \hyperpage{230} + \item union, \hyperpage{12} + \item union-find structure, \hyperpage{145} + \item universal set, \hyperpage{12} + + \indexspace + + \item vector, \hyperpage{35}, \hyperpage{217}, \hyperpage{266} + + \indexspace + + \item Warnsdorf's rule, \hyperpage{179} + \item weighted graph, \hyperpage{111} + \item Wilson's theorem, \hyperpage{206} + \item winning state, \hyperpage{235} + + \indexspace + + \item xor operation, \hyperpage{97} + + \indexspace + + \item Z-algorithm, \hyperpage{247} + \item Z-array, \hyperpage{247} + \item Zeckendorf's theorem, \hyperpage{206} + +\end{theindex} diff --git a/output/book.log b/output/book.log new file mode 100644 index 0000000..0daf69a --- /dev/null +++ b/output/book.log @@ -0,0 +1,2245 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex 2021.1.31) 31 JAN 2021 23:53 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**book.tex +(./book.tex +LaTeX2e <2020-02-02> patch level 5 +L3 programming layer <2020-07-17> +(/usr/share/texlive/texmf-dist/tex/latex/base/book.cls +Document Class: book 2019/12/20 v1.4l Standard LaTeX document class +(/usr/share/texlive/texmf-dist/tex/latex/base/bk12.clo +File: bk12.clo 2019/12/20 v1.4l Standard 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+\BOOKMARK [0][-]{chapter.1}{Introduction}{part.1}% 3 +\BOOKMARK [1][-]{section.1.1}{Programming languages}{chapter.1}% 4 +\BOOKMARK [1][-]{section.1.2}{Input and output}{chapter.1}% 5 +\BOOKMARK [1][-]{section.1.3}{Working with numbers}{chapter.1}% 6 +\BOOKMARK [1][-]{section.1.4}{Shortening code}{chapter.1}% 7 +\BOOKMARK [1][-]{section.1.5}{Mathematics}{chapter.1}% 8 +\BOOKMARK [1][-]{section.1.6}{Contests and resources}{chapter.1}% 9 +\BOOKMARK [0][-]{chapter.2}{Time complexity}{part.1}% 10 +\BOOKMARK [1][-]{section.2.1}{Calculation rules}{chapter.2}% 11 +\BOOKMARK [1][-]{section.2.2}{Complexity classes}{chapter.2}% 12 +\BOOKMARK [1][-]{section.2.3}{Estimating efficiency}{chapter.2}% 13 +\BOOKMARK [1][-]{section.2.4}{Maximum subarray sum}{chapter.2}% 14 +\BOOKMARK [0][-]{chapter.3}{Sorting}{part.1}% 15 +\BOOKMARK [1][-]{section.3.1}{Sorting theory}{chapter.3}% 16 +\BOOKMARK [1][-]{section.3.2}{Sorting in C++}{chapter.3}% 17 +\BOOKMARK [1][-]{section.3.3}{Binary search}{chapter.3}% 18 +\BOOKMARK [0][-]{chapter.4}{Data structures}{part.1}% 19 +\BOOKMARK [1][-]{section.4.1}{Dynamic arrays}{chapter.4}% 20 +\BOOKMARK [1][-]{section.4.2}{Set structures}{chapter.4}% 21 +\BOOKMARK [1][-]{section.4.3}{Map structures}{chapter.4}% 22 +\BOOKMARK [1][-]{section.4.4}{Iterators and ranges}{chapter.4}% 23 +\BOOKMARK [1][-]{section.4.5}{Other structures}{chapter.4}% 24 +\BOOKMARK [1][-]{section.4.6}{Comparison to sorting}{chapter.4}% 25 +\BOOKMARK [0][-]{chapter.5}{Complete search}{part.1}% 26 +\BOOKMARK [1][-]{section.5.1}{Generating subsets}{chapter.5}% 27 +\BOOKMARK [1][-]{section.5.2}{Generating permutations}{chapter.5}% 28 +\BOOKMARK [1][-]{section.5.3}{Backtracking}{chapter.5}% 29 +\BOOKMARK [1][-]{section.5.4}{Pruning the search}{chapter.5}% 30 +\BOOKMARK [1][-]{section.5.5}{Meet in the middle}{chapter.5}% 31 +\BOOKMARK [0][-]{chapter.6}{Greedy algorithms}{part.1}% 32 +\BOOKMARK [1][-]{section.6.1}{Coin problem}{chapter.6}% 33 +\BOOKMARK [1][-]{section.6.2}{Scheduling}{chapter.6}% 34 +\BOOKMARK [1][-]{section.6.3}{Tasks and deadlines}{chapter.6}% 35 +\BOOKMARK [1][-]{section.6.4}{Minimizing sums}{chapter.6}% 36 +\BOOKMARK [1][-]{section.6.5}{Data compression}{chapter.6}% 37 +\BOOKMARK [0][-]{chapter.7}{Dynamic programming}{part.1}% 38 +\BOOKMARK [1][-]{section.7.1}{Coin problem}{chapter.7}% 39 +\BOOKMARK [1][-]{section.7.2}{Longest increasing subsequence}{chapter.7}% 40 +\BOOKMARK [1][-]{section.7.3}{Paths in a grid}{chapter.7}% 41 +\BOOKMARK [1][-]{section.7.4}{Knapsack problems}{chapter.7}% 42 +\BOOKMARK [1][-]{section.7.5}{Edit distance}{chapter.7}% 43 +\BOOKMARK [1][-]{section.7.6}{Counting tilings}{chapter.7}% 44 +\BOOKMARK [0][-]{chapter.8}{Amortized analysis}{part.1}% 45 +\BOOKMARK [1][-]{section.8.1}{Two pointers method}{chapter.8}% 46 +\BOOKMARK [1][-]{section.8.2}{Nearest smaller elements}{chapter.8}% 47 +\BOOKMARK [1][-]{section.8.3}{Sliding window minimum}{chapter.8}% 48 +\BOOKMARK [0][-]{chapter.9}{Range 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[1][-]{section.12.1}{Depth-first search}{chapter.12}% 65 +\BOOKMARK [1][-]{section.12.2}{Breadth-first search}{chapter.12}% 66 +\BOOKMARK [1][-]{section.12.3}{Applications}{chapter.12}% 67 +\BOOKMARK [0][-]{chapter.13}{Shortest paths}{part.2}% 68 +\BOOKMARK [1][-]{section.13.1}{Bellman\205Ford algorithm}{chapter.13}% 69 +\BOOKMARK [1][-]{section.13.2}{Dijkstra's algorithm}{chapter.13}% 70 +\BOOKMARK [1][-]{section.13.3}{Floyd\205Warshall algorithm}{chapter.13}% 71 +\BOOKMARK [0][-]{chapter.14}{Tree algorithms}{part.2}% 72 +\BOOKMARK [1][-]{section.14.1}{Tree traversal}{chapter.14}% 73 +\BOOKMARK [1][-]{section.14.2}{Diameter}{chapter.14}% 74 +\BOOKMARK [1][-]{section.14.3}{All longest paths}{chapter.14}% 75 +\BOOKMARK [1][-]{section.14.4}{Binary trees}{chapter.14}% 76 +\BOOKMARK [0][-]{chapter.15}{Spanning trees}{part.2}% 77 +\BOOKMARK [1][-]{section.15.1}{Kruskal's algorithm}{chapter.15}% 78 +\BOOKMARK [1][-]{section.15.2}{Union-find structure}{chapter.15}% 79 +\BOOKMARK [1][-]{section.15.3}{Prim's algorithm}{chapter.15}% 80 +\BOOKMARK [0][-]{chapter.16}{Directed graphs}{part.2}% 81 +\BOOKMARK [1][-]{section.16.1}{Topological sorting}{chapter.16}% 82 +\BOOKMARK [1][-]{section.16.2}{Dynamic programming}{chapter.16}% 83 +\BOOKMARK [1][-]{section.16.3}{Successor paths}{chapter.16}% 84 +\BOOKMARK [1][-]{section.16.4}{Cycle detection}{chapter.16}% 85 +\BOOKMARK [0][-]{chapter.17}{Strong connectivity}{part.2}% 86 +\BOOKMARK [1][-]{section.17.1}{Kosaraju's algorithm}{chapter.17}% 87 +\BOOKMARK [1][-]{section.17.2}{2SAT problem}{chapter.17}% 88 +\BOOKMARK [0][-]{chapter.18}{Tree queries}{part.2}% 89 +\BOOKMARK [1][-]{section.18.1}{Finding ancestors}{chapter.18}% 90 +\BOOKMARK [1][-]{section.18.2}{Subtrees and paths}{chapter.18}% 91 +\BOOKMARK [1][-]{section.18.3}{Lowest common ancestor}{chapter.18}% 92 +\BOOKMARK [1][-]{section.18.4}{Offline algorithms}{chapter.18}% 93 +\BOOKMARK [0][-]{chapter.19}{Paths and circuits}{part.2}% 94 +\BOOKMARK [1][-]{section.19.1}{Eulerian paths}{chapter.19}% 95 +\BOOKMARK [1][-]{section.19.2}{Hamiltonian paths}{chapter.19}% 96 +\BOOKMARK [1][-]{section.19.3}{De Bruijn sequences}{chapter.19}% 97 +\BOOKMARK [1][-]{section.19.4}{Knight's tours}{chapter.19}% 98 +\BOOKMARK [0][-]{chapter.20}{Flows and cuts}{part.2}% 99 +\BOOKMARK [1][-]{section.20.1}{Ford\205Fulkerson algorithm}{chapter.20}% 100 +\BOOKMARK [1][-]{section.20.2}{Disjoint paths}{chapter.20}% 101 +\BOOKMARK [1][-]{section.20.3}{Maximum matchings}{chapter.20}% 102 +\BOOKMARK [1][-]{section.20.4}{Path covers}{chapter.20}% 103 +\BOOKMARK [-1][-]{part.3}{III Advanced topics}{}% 104 +\BOOKMARK [0][-]{chapter.21}{Number theory}{part.3}% 105 +\BOOKMARK [1][-]{section.21.1}{Primes and factors}{chapter.21}% 106 +\BOOKMARK [1][-]{section.21.2}{Modular arithmetic}{chapter.21}% 107 +\BOOKMARK [1][-]{section.21.3}{Solving equations}{chapter.21}% 108 +\BOOKMARK [1][-]{section.21.4}{Other results}{chapter.21}% 109 +\BOOKMARK [0][-]{chapter.22}{Combinatorics}{part.3}% 110 +\BOOKMARK [1][-]{section.22.1}{Binomial coefficients}{chapter.22}% 111 +\BOOKMARK [1][-]{section.22.2}{Catalan numbers}{chapter.22}% 112 +\BOOKMARK [1][-]{section.22.3}{Inclusion-exclusion}{chapter.22}% 113 +\BOOKMARK [1][-]{section.22.4}{Burnside's lemma}{chapter.22}% 114 +\BOOKMARK [1][-]{section.22.5}{Cayley's formula}{chapter.22}% 115 +\BOOKMARK [0][-]{chapter.23}{Matrices}{part.3}% 116 +\BOOKMARK [1][-]{section.23.1}{Operations}{chapter.23}% 117 +\BOOKMARK [1][-]{section.23.2}{Linear recurrences}{chapter.23}% 118 +\BOOKMARK [1][-]{section.23.3}{Graphs and matrices}{chapter.23}% 119 +\BOOKMARK [0][-]{chapter.24}{Probability}{part.3}% 120 +\BOOKMARK [1][-]{section.24.1}{Calculation}{chapter.24}% 121 +\BOOKMARK [1][-]{section.24.2}{Events}{chapter.24}% 122 +\BOOKMARK [1][-]{section.24.3}{Random variables}{chapter.24}% 123 +\BOOKMARK [1][-]{section.24.4}{Markov chains}{chapter.24}% 124 +\BOOKMARK [1][-]{section.24.5}{Randomized algorithms}{chapter.24}% 125 +\BOOKMARK [0][-]{chapter.25}{Game theory}{part.3}% 126 +\BOOKMARK [1][-]{section.25.1}{Game states}{chapter.25}% 127 +\BOOKMARK [1][-]{section.25.2}{Nim game}{chapter.25}% 128 +\BOOKMARK [1][-]{section.25.3}{Sprague\205Grundy theorem}{chapter.25}% 129 +\BOOKMARK [0][-]{chapter.26}{String algorithms}{part.3}% 130 +\BOOKMARK [1][-]{section.26.1}{String terminology}{chapter.26}% 131 +\BOOKMARK [1][-]{section.26.2}{Trie structure}{chapter.26}% 132 +\BOOKMARK [1][-]{section.26.3}{String hashing}{chapter.26}% 133 +\BOOKMARK [1][-]{section.26.4}{Z-algorithm}{chapter.26}% 134 +\BOOKMARK [0][-]{chapter.27}{Square root algorithms}{part.3}% 135 +\BOOKMARK [1][-]{section.27.1}{Combining algorithms}{chapter.27}% 136 +\BOOKMARK [1][-]{section.27.2}{Integer partitions}{chapter.27}% 137 +\BOOKMARK [1][-]{section.27.3}{Mo's algorithm}{chapter.27}% 138 +\BOOKMARK [0][-]{chapter.28}{Segment trees revisited}{part.3}% 139 +\BOOKMARK [1][-]{section.28.1}{Lazy propagation}{chapter.28}% 140 +\BOOKMARK [1][-]{section.28.2}{Dynamic trees}{chapter.28}% 141 +\BOOKMARK [1][-]{section.28.3}{Data structures}{chapter.28}% 142 +\BOOKMARK [1][-]{section.28.4}{Two-dimensionality}{chapter.28}% 143 +\BOOKMARK [0][-]{chapter.29}{Geometry}{part.3}% 144 +\BOOKMARK [1][-]{section.29.1}{Complex numbers}{chapter.29}% 145 +\BOOKMARK [1][-]{section.29.2}{Points and lines}{chapter.29}% 146 +\BOOKMARK [1][-]{section.29.3}{Polygon area}{chapter.29}% 147 +\BOOKMARK [1][-]{section.29.4}{Distance functions}{chapter.29}% 148 +\BOOKMARK [0][-]{chapter.30}{Sweep line algorithms}{part.3}% 149 +\BOOKMARK [1][-]{section.30.1}{Intersection points}{chapter.30}% 150 +\BOOKMARK [1][-]{section.30.2}{Closest pair problem}{chapter.30}% 151 +\BOOKMARK [1][-]{section.30.3}{Convex hull problem}{chapter.30}% 152 +\BOOKMARK [0][-]{section*.3}{Bibliography}{part.3}% 153 +\BOOKMARK [0][-]{chapter*.5}{Index}{part.3}% 154 diff --git a/output/book.pdf b/output/book.pdf new file mode 100644 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{subsubsection}{Algorithm 2}{6}{section.1.2}% +\contentsline {section}{\numberline {1.3}All longest paths}{7}{section.1.3}% +\contentsline {section}{\numberline {1.4}Binary trees}{9}{section.1.4}% +\contentsline {chapter}{Bibliography}{11}{section*.2}% +\contentsline {chapter}{Index}{17}{chapter*.4}% diff --git a/test.tex b/test.tex new file mode 100644 index 0000000..e108ae9 --- /dev/null +++ b/test.tex @@ -0,0 +1,100 @@ +\documentclass[twoside,12pt,a4paper,english]{book} + +%\includeonly{chapter04,list} + +\usepackage[english]{babel} +\usepackage[utf8]{inputenc} +\usepackage{listings} +\usepackage[table]{xcolor} +\usepackage{tikz} +\usepackage{multicol} +\usepackage{hyperref} +\usepackage{array} +\usepackage{microtype} + +\usepackage{fouriernc} +\usepackage[T1]{fontenc} + +\usepackage{graphicx} +\usepackage{framed} +\usepackage{amssymb} +\usepackage{amsmath} + +\usepackage{pifont} +\usepackage{ifthen} +\usepackage{makeidx} +\usepackage{enumitem} + +\usepackage{titlesec} + +\usepackage{skak} +\usepackage[scaled=0.95]{inconsolata} + + +\usetikzlibrary{patterns,snakes} +\pagestyle{plain} + +\definecolor{keywords}{HTML}{44548A} +\definecolor{strings}{HTML}{00999A} +\definecolor{comments}{HTML}{990000} + +\lstset{language=C++,frame=single,basicstyle=\ttfamily \small,showstringspaces=false,columns=flexible} +\lstset{ + literate={ö}{{\"o}}1 + {ä}{{\"a}}1 + {ü}{{\"u}}1 +} +\lstset{xleftmargin=20pt,xrightmargin=5pt} +\lstset{aboveskip=12pt,belowskip=8pt} + +\lstset{ + commentstyle=\color{comments}, + keywordstyle=\color{keywords}, + stringstyle=\color{strings} +} + +\date{Draft \today} + +\usepackage[a4paper,vmargin=30mm,hmargin=33mm,footskip=15mm]{geometry} + +\title{\Huge Competitive Programmer's Handbook} +\author{\Large Antti Laaksonen} + +\makeindex +\usepackage[totoc]{idxlayout} + +\titleformat{\subsubsection} +{\normalfont\large\bfseries\sffamily}{\thesubsection}{1em}{} + +\begin{document} + +%\selectlanguage{finnish} + +%\setcounter{page}{1} +%\pagenumbering{roman} + +%\frontmatter +%\maketitle +%\setcounter{tocdepth}{1} +%\tableofcontents + +%\include{preface} + +\mainmatter +\pagenumbering{arabic} +\setcounter{page}{1} + +\newcommand{\key}[1] {\textbf{#1}} + +%\part{Graph algorithms} +\include{chapter14} + +%\cleardoublepage +%\phantomsection +%\addcontentsline{toc}{chapter}{Bibliography} +%\include{list} + +%\cleardoublepage +%\printindex + +\end{document} \ No newline at end of file

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