155 lines
9.5 KiB
Plaintext
155 lines
9.5 KiB
Plaintext
\BOOKMARK [0][-]{chapter*.2}{Preface}{}% 1
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\BOOKMARK [-1][-]{part.1}{I Basic techniques}{}% 2
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\BOOKMARK [0][-]{chapter.1}{Introduction}{part.1}% 3
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\BOOKMARK [1][-]{section.1.1}{Programming languages}{chapter.1}% 4
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\BOOKMARK [1][-]{section.1.2}{Input and output}{chapter.1}% 5
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\BOOKMARK [1][-]{section.1.3}{Working with numbers}{chapter.1}% 6
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\BOOKMARK [1][-]{section.1.4}{Shortening code}{chapter.1}% 7
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\BOOKMARK [1][-]{section.1.5}{Mathematics}{chapter.1}% 8
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\BOOKMARK [1][-]{section.1.6}{Contests and resources}{chapter.1}% 9
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\BOOKMARK [0][-]{chapter.2}{Time complexity}{part.1}% 10
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\BOOKMARK [1][-]{section.2.1}{Calculation rules}{chapter.2}% 11
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\BOOKMARK [1][-]{section.2.2}{Complexity classes}{chapter.2}% 12
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\BOOKMARK [1][-]{section.2.3}{Estimating efficiency}{chapter.2}% 13
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\BOOKMARK [1][-]{section.2.4}{Maximum subarray sum}{chapter.2}% 14
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\BOOKMARK [0][-]{chapter.3}{Sorting}{part.1}% 15
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\BOOKMARK [1][-]{section.3.1}{Sorting theory}{chapter.3}% 16
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\BOOKMARK [1][-]{section.3.2}{Sorting in C++}{chapter.3}% 17
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\BOOKMARK [1][-]{section.3.3}{Binary search}{chapter.3}% 18
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\BOOKMARK [0][-]{chapter.4}{Data structures}{part.1}% 19
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\BOOKMARK [1][-]{section.4.1}{Dynamic arrays}{chapter.4}% 20
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\BOOKMARK [1][-]{section.4.2}{Set structures}{chapter.4}% 21
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\BOOKMARK [1][-]{section.4.3}{Map structures}{chapter.4}% 22
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\BOOKMARK [1][-]{section.4.4}{Iterators and ranges}{chapter.4}% 23
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\BOOKMARK [1][-]{section.4.5}{Other structures}{chapter.4}% 24
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\BOOKMARK [1][-]{section.4.6}{Comparison to sorting}{chapter.4}% 25
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\BOOKMARK [0][-]{chapter.5}{Complete search}{part.1}% 26
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\BOOKMARK [1][-]{section.5.1}{Generating subsets}{chapter.5}% 27
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\BOOKMARK [1][-]{section.5.2}{Generating permutations}{chapter.5}% 28
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\BOOKMARK [1][-]{section.5.3}{Backtracking}{chapter.5}% 29
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\BOOKMARK [1][-]{section.5.4}{Pruning the search}{chapter.5}% 30
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\BOOKMARK [1][-]{section.5.5}{Meet in the middle}{chapter.5}% 31
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\BOOKMARK [0][-]{chapter.6}{Greedy algorithms}{part.1}% 32
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\BOOKMARK [1][-]{section.6.1}{Coin problem}{chapter.6}% 33
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\BOOKMARK [1][-]{section.6.2}{Scheduling}{chapter.6}% 34
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\BOOKMARK [1][-]{section.6.3}{Tasks and deadlines}{chapter.6}% 35
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\BOOKMARK [1][-]{section.6.4}{Minimizing sums}{chapter.6}% 36
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\BOOKMARK [1][-]{section.6.5}{Data compression}{chapter.6}% 37
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\BOOKMARK [0][-]{chapter.7}{Dynamic programming}{part.1}% 38
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\BOOKMARK [1][-]{section.7.1}{Coin problem}{chapter.7}% 39
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\BOOKMARK [1][-]{section.7.2}{Longest increasing subsequence}{chapter.7}% 40
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\BOOKMARK [1][-]{section.7.3}{Paths in a grid}{chapter.7}% 41
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\BOOKMARK [1][-]{section.7.4}{Knapsack problems}{chapter.7}% 42
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\BOOKMARK [1][-]{section.7.5}{Edit distance}{chapter.7}% 43
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\BOOKMARK [1][-]{section.7.6}{Counting tilings}{chapter.7}% 44
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\BOOKMARK [0][-]{chapter.8}{Amortized analysis}{part.1}% 45
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\BOOKMARK [1][-]{section.8.1}{Two pointers method}{chapter.8}% 46
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\BOOKMARK [1][-]{section.8.2}{Nearest smaller elements}{chapter.8}% 47
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\BOOKMARK [1][-]{section.8.3}{Sliding window minimum}{chapter.8}% 48
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\BOOKMARK [0][-]{chapter.9}{Range queries}{part.1}% 49
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\BOOKMARK [1][-]{section.9.1}{Static array queries}{chapter.9}% 50
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\BOOKMARK [1][-]{section.9.2}{Binary indexed tree}{chapter.9}% 51
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\BOOKMARK [1][-]{section.9.3}{Segment tree}{chapter.9}% 52
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\BOOKMARK [1][-]{section.9.4}{Additional techniques}{chapter.9}% 53
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\BOOKMARK [0][-]{chapter.10}{Bit manipulation}{part.1}% 54
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\BOOKMARK [1][-]{section.10.1}{Bit representation}{chapter.10}% 55
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\BOOKMARK [1][-]{section.10.2}{Bit operations}{chapter.10}% 56
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\BOOKMARK [1][-]{section.10.3}{Representing sets}{chapter.10}% 57
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\BOOKMARK [1][-]{section.10.4}{Bit optimizations}{chapter.10}% 58
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\BOOKMARK [1][-]{section.10.5}{Dynamic programming}{chapter.10}% 59
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\BOOKMARK [-1][-]{part.2}{II Graph algorithms}{}% 60
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\BOOKMARK [0][-]{chapter.11}{Basics of graphs}{part.2}% 61
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\BOOKMARK [1][-]{section.11.1}{Graph terminology}{chapter.11}% 62
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\BOOKMARK [1][-]{section.11.2}{Graph representation}{chapter.11}% 63
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\BOOKMARK [0][-]{chapter.12}{Graph traversal}{part.2}% 64
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\BOOKMARK [1][-]{section.12.1}{Depth-first search}{chapter.12}% 65
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\BOOKMARK [1][-]{section.12.2}{Breadth-first search}{chapter.12}% 66
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\BOOKMARK [1][-]{section.12.3}{Applications}{chapter.12}% 67
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\BOOKMARK [0][-]{chapter.13}{Shortest paths}{part.2}% 68
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\BOOKMARK [1][-]{section.13.1}{Bellman\205Ford algorithm}{chapter.13}% 69
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\BOOKMARK [1][-]{section.13.2}{Dijkstra's algorithm}{chapter.13}% 70
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\BOOKMARK [1][-]{section.13.3}{Floyd\205Warshall algorithm}{chapter.13}% 71
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\BOOKMARK [0][-]{chapter.14}{Tree algorithms}{part.2}% 72
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\BOOKMARK [1][-]{section.14.1}{Tree traversal}{chapter.14}% 73
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\BOOKMARK [1][-]{section.14.2}{Diameter}{chapter.14}% 74
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\BOOKMARK [1][-]{section.14.3}{All longest paths}{chapter.14}% 75
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\BOOKMARK [1][-]{section.14.4}{Binary trees}{chapter.14}% 76
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\BOOKMARK [0][-]{chapter.15}{Spanning trees}{part.2}% 77
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\BOOKMARK [1][-]{section.15.1}{Kruskal's algorithm}{chapter.15}% 78
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\BOOKMARK [1][-]{section.15.2}{Union-find structure}{chapter.15}% 79
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\BOOKMARK [1][-]{section.15.3}{Prim's algorithm}{chapter.15}% 80
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\BOOKMARK [0][-]{chapter.16}{Directed graphs}{part.2}% 81
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\BOOKMARK [1][-]{section.16.1}{Topological sorting}{chapter.16}% 82
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\BOOKMARK [1][-]{section.16.2}{Dynamic programming}{chapter.16}% 83
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\BOOKMARK [1][-]{section.16.3}{Successor paths}{chapter.16}% 84
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\BOOKMARK [1][-]{section.16.4}{Cycle detection}{chapter.16}% 85
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\BOOKMARK [0][-]{chapter.17}{Strong connectivity}{part.2}% 86
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\BOOKMARK [1][-]{section.17.1}{Kosaraju's algorithm}{chapter.17}% 87
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\BOOKMARK [1][-]{section.17.2}{2SAT problem}{chapter.17}% 88
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\BOOKMARK [0][-]{chapter.18}{Tree queries}{part.2}% 89
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\BOOKMARK [1][-]{section.18.1}{Finding ancestors}{chapter.18}% 90
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\BOOKMARK [1][-]{section.18.2}{Subtrees and paths}{chapter.18}% 91
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\BOOKMARK [1][-]{section.18.3}{Lowest common ancestor}{chapter.18}% 92
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\BOOKMARK [1][-]{section.18.4}{Offline algorithms}{chapter.18}% 93
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\BOOKMARK [0][-]{chapter.19}{Paths and circuits}{part.2}% 94
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\BOOKMARK [1][-]{section.19.1}{Eulerian paths}{chapter.19}% 95
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\BOOKMARK [1][-]{section.19.2}{Hamiltonian paths}{chapter.19}% 96
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\BOOKMARK [1][-]{section.19.3}{De Bruijn sequences}{chapter.19}% 97
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\BOOKMARK [1][-]{section.19.4}{Knight's tours}{chapter.19}% 98
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\BOOKMARK [0][-]{chapter.20}{Flows and cuts}{part.2}% 99
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\BOOKMARK [1][-]{section.20.1}{Ford\205Fulkerson algorithm}{chapter.20}% 100
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\BOOKMARK [1][-]{section.20.2}{Disjoint paths}{chapter.20}% 101
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\BOOKMARK [1][-]{section.20.3}{Maximum matchings}{chapter.20}% 102
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\BOOKMARK [1][-]{section.20.4}{Path covers}{chapter.20}% 103
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\BOOKMARK [-1][-]{part.3}{III Advanced topics}{}% 104
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\BOOKMARK [0][-]{chapter.21}{Number theory}{part.3}% 105
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\BOOKMARK [1][-]{section.21.1}{Primes and factors}{chapter.21}% 106
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\BOOKMARK [1][-]{section.21.2}{Modular arithmetic}{chapter.21}% 107
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\BOOKMARK [1][-]{section.21.3}{Solving equations}{chapter.21}% 108
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\BOOKMARK [1][-]{section.21.4}{Other results}{chapter.21}% 109
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\BOOKMARK [0][-]{chapter.22}{Combinatorics}{part.3}% 110
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\BOOKMARK [1][-]{section.22.1}{Binomial coefficients}{chapter.22}% 111
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\BOOKMARK [1][-]{section.22.2}{Catalan numbers}{chapter.22}% 112
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\BOOKMARK [1][-]{section.22.3}{Inclusion-exclusion}{chapter.22}% 113
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\BOOKMARK [1][-]{section.22.4}{Burnside's lemma}{chapter.22}% 114
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\BOOKMARK [1][-]{section.22.5}{Cayley's formula}{chapter.22}% 115
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\BOOKMARK [0][-]{chapter.23}{Matrices}{part.3}% 116
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\BOOKMARK [1][-]{section.23.1}{Operations}{chapter.23}% 117
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\BOOKMARK [1][-]{section.23.2}{Linear recurrences}{chapter.23}% 118
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\BOOKMARK [1][-]{section.23.3}{Graphs and matrices}{chapter.23}% 119
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\BOOKMARK [0][-]{chapter.24}{Probability}{part.3}% 120
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\BOOKMARK [1][-]{section.24.1}{Calculation}{chapter.24}% 121
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\BOOKMARK [1][-]{section.24.2}{Events}{chapter.24}% 122
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\BOOKMARK [1][-]{section.24.3}{Random variables}{chapter.24}% 123
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\BOOKMARK [1][-]{section.24.4}{Markov chains}{chapter.24}% 124
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\BOOKMARK [1][-]{section.24.5}{Randomized algorithms}{chapter.24}% 125
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\BOOKMARK [0][-]{chapter.25}{Game theory}{part.3}% 126
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\BOOKMARK [1][-]{section.25.1}{Game states}{chapter.25}% 127
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\BOOKMARK [1][-]{section.25.2}{Nim game}{chapter.25}% 128
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\BOOKMARK [1][-]{section.25.3}{Sprague\205Grundy theorem}{chapter.25}% 129
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\BOOKMARK [0][-]{chapter.26}{String algorithms}{part.3}% 130
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\BOOKMARK [1][-]{section.26.1}{String terminology}{chapter.26}% 131
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\BOOKMARK [1][-]{section.26.2}{Trie structure}{chapter.26}% 132
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\BOOKMARK [1][-]{section.26.3}{String hashing}{chapter.26}% 133
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\BOOKMARK [1][-]{section.26.4}{Z-algorithm}{chapter.26}% 134
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\BOOKMARK [0][-]{chapter.27}{Square root algorithms}{part.3}% 135
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\BOOKMARK [1][-]{section.27.1}{Combining algorithms}{chapter.27}% 136
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\BOOKMARK [1][-]{section.27.2}{Integer partitions}{chapter.27}% 137
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\BOOKMARK [1][-]{section.27.3}{Mo's algorithm}{chapter.27}% 138
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\BOOKMARK [0][-]{chapter.28}{Segment trees revisited}{part.3}% 139
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\BOOKMARK [1][-]{section.28.1}{Lazy propagation}{chapter.28}% 140
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\BOOKMARK [1][-]{section.28.2}{Dynamic trees}{chapter.28}% 141
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\BOOKMARK [1][-]{section.28.3}{Data structures}{chapter.28}% 142
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\BOOKMARK [1][-]{section.28.4}{Two-dimensionality}{chapter.28}% 143
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\BOOKMARK [0][-]{chapter.29}{Geometry}{part.3}% 144
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\BOOKMARK [1][-]{section.29.1}{Complex numbers}{chapter.29}% 145
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\BOOKMARK [1][-]{section.29.2}{Points and lines}{chapter.29}% 146
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\BOOKMARK [1][-]{section.29.3}{Polygon area}{chapter.29}% 147
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\BOOKMARK [1][-]{section.29.4}{Distance functions}{chapter.29}% 148
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\BOOKMARK [0][-]{chapter.30}{Sweep line algorithms}{part.3}% 149
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\BOOKMARK [1][-]{section.30.1}{Intersection points}{chapter.30}% 150
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\BOOKMARK [1][-]{section.30.2}{Closest pair problem}{chapter.30}% 151
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\BOOKMARK [1][-]{section.30.3}{Convex hull problem}{chapter.30}% 152
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\BOOKMARK [0][-]{section*.3}{Bibliography}{part.3}% 153
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\BOOKMARK [0][-]{chapter*.5}{Index}{part.3}% 154
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