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"Recursion/WhatIsRecursion.rst", "Recursion/toctree.rst", "SortSearch/Exercises.rst", "SortSearch/Hashing.rst", "SortSearch/KeyTerms.rst", "SortSearch/Objectives.rst", "SortSearch/Summary.rst", "SortSearch/TheBinarySearch.rst", "SortSearch/TheBubbleSort.rst", "SortSearch/TheInsertionSort.rst", "SortSearch/TheMergeSort.rst", "SortSearch/TheQuickSort.rst", "SortSearch/TheSelectionSort.rst", "SortSearch/TheSequentialSearch.rst", "SortSearch/TheShellSort.rst", "SortSearch/searching.rst", "SortSearch/sorting.rst", "SortSearch/toctree.rst", "Trees/AVLTreeImplementation.rst", "Trees/AVLTreePerformance.rst", "Trees/BalancedBinarySearchTrees.rst", "Trees/BinaryHeapImplementation.rst", "Trees/BinaryHeapOperations.rst", "Trees/BinarySearchTrees.rst", "Trees/ExamplesofTrees.rst", "Trees/Exercises.rst", "Trees/Implementation.rst", "Trees/KeyTerms.rst", "Trees/ListofListsRepresentation.rst", "Trees/NodesandReferences.rst", "Trees/Objectives.rst", "Trees/ParseTree.rst", "Trees/PriorityQueueswithBinaryHeaps.rst", "Trees/SearchTreeAnalysis.rst", "Trees/SearchTreeImplementation.rst", "Trees/SearchTreeOperations.rst", "Trees/Summary.rst", "Trees/SummaryofMapADTImplementations.rst", "Trees/TreeTraversals.rst", "Trees/VocabularyandDefinitions.rst", "Trees/toctree.rst", "assignments.rst", "index.rst"], "titles": ["<span class=\"section-number\">8.4. </span>Dictionaries Revisited: Skip Lists", "<span class=\"section-number\">8.6. </span>Graphs Revisited: Pattern Matching", "<span class=\"section-number\">8.1. </span>Objectives", "<span class=\"section-number\">8.2. </span>Python Lists Revisited", "<span class=\"section-number\">8.3. </span>Recursion Revisited", "<span class=\"section-number\">8.5. </span>Trees Revisited: Quantizing Images", "Exercises", "Key Terms", "Summary", "<span class=\"section-number\">8. </span>Advanced Topics", "<span class=\"section-number\">2.4. </span>An Anagram Detection Example", "<span class=\"section-number\">2.3. </span>Big O Notation", "<span class=\"section-number\">2.7. </span>Dictionaries", "<span class=\"section-number\">2.10. </span>Exercises", "<span class=\"section-number\">2.9. </span>Key Terms", "<span class=\"section-number\">2.6. </span>Lists", "<span class=\"section-number\">2.1. </span>Objectives", "<span class=\"section-number\">2.5. </span>Performance of Python Data Structures", "<span class=\"section-number\">2.8. </span>Summary", "<span class=\"section-number\">2.2. </span>What Is Algorithm Analysis?", "<span class=\"section-number\">2. </span>Algorithm Analysis", "<span class=\"section-number\">3.7. </span>Balanced Symbols (A General Case)", "<span class=\"section-number\">3.8. </span>Converting Decimal Numbers to Binary Numbers", "<span class=\"section-number\">3.26. </span>Exercises", "<span class=\"section-number\">3.17. </span>Implementing a Deque in Python", "<span class=\"section-number\">3.12. </span>Implementing a Queue in Python", "<span class=\"section-number\">3.5. </span>Implementing a Stack in Python", "<span class=\"section-number\">3.23. </span>Implementing an Ordered List", "<span class=\"section-number\">3.21. </span>Implementing an Unordered List: Linked Lists", "<span class=\"section-number\">3.9. </span>Infix, Prefix, and Postfix Expressions", "<span class=\"section-number\">3.25. </span>Key Terms", "<span class=\"section-number\">3.19. </span>Lists", "<span class=\"section-number\">3.1. </span>Objectives", "<span class=\"section-number\">3.18. </span>Palindrome Checker", "<span class=\"section-number\">3.6. </span>Simple Balanced Parentheses", "<span class=\"section-number\">3.13. </span>Queue Simulation: Hot Potato", "<span class=\"section-number\">3.14. </span>Queue Simulation: Printing Tasks", "<span class=\"section-number\">3.24. </span>Summary", "<span class=\"section-number\">3.16. </span>The Deque Abstract Data Type", "<span class=\"section-number\">3.22. </span>The Ordered List Abstract Data Type", "<span class=\"section-number\">3.11. </span>The Queue Abstract Data Type", "<span class=\"section-number\">3.4. </span>The Stack Abstract Data Type", "<span class=\"section-number\">3.20. </span>The Unordered List Abstract Data Type", "<span class=\"section-number\">3.2. </span>What Are Linear Structures?", "<span class=\"section-number\">3.15. </span>Deques", "<span class=\"section-number\">3.10. </span>Queues", "<span class=\"section-number\">3.3. </span>Stacks", "<span class=\"section-number\">3. </span>Basic Data Structures", "<span class=\"section-number\">7.5. </span>An Adjacency List", "<span class=\"section-number\">7.4. </span>An Adjacency Matrix", "<span class=\"section-number\">7.21. </span>Analysis of Dijkstra\u2019s Algorithm", "<span class=\"section-number\">7.10. </span>Breadth-First Search Analysis", "<span class=\"section-number\">7.12. </span>Building the Knight\u2019s Tour Graph", "<span class=\"section-number\">7.8. </span>Building the Word Ladder Graph", "<span class=\"section-number\">7.16. </span>Depth-First Search Analysis", "<span class=\"section-number\">7.20. </span>Dijkstra\u2019s Algorithm", "<span class=\"section-number\">7.25. </span>Exercises", "<span class=\"section-number\">7.15. </span>General Depth-First Search", "<span class=\"section-number\">7.6. </span>Implementation", "<span class=\"section-number\">7.9. </span>Implementing Breadth-First Search", "<span class=\"section-number\">7.13. </span>Implementing Knight\u2019s Tour", "<span class=\"section-number\">7.24. </span>Key Terms", "<span class=\"section-number\">7.14. </span>Knight\u2019s Tour Analysis", "<span class=\"section-number\">7.1. </span>Objectives", "<span class=\"section-number\">7.22. </span>Prim\u2019s Spanning Tree Algorithm", "<span class=\"section-number\">7.19. </span>Shortest Path Problems", "<span class=\"section-number\">7.18. </span>Strongly Connected Components", "<span class=\"section-number\">7.23. </span>Summary", "<span class=\"section-number\">7.3. </span>The Graph Abstract Data Type", "<span class=\"section-number\">7.11. </span>The Knight\u2019s Tour Problem", "<span class=\"section-number\">7.7. </span>The Word Ladder Problem", "<span class=\"section-number\">7.17. </span>Topological Sorting", "<span class=\"section-number\">7.2. </span>Vocabulary and Definitions", "<span class=\"section-number\">7. </span>Graphs and Graphing Algorithms", "<span class=\"section-number\">1.10. </span>Control Structures", "<span class=\"section-number\">1.12. </span>Defining Functions", "Discussion Questions", "<span class=\"section-number\">1.11. </span>Exception Handling", "<span class=\"section-number\">1.16. </span>Exercises", "<span class=\"section-number\">1.2. </span>Getting Started", "<span class=\"section-number\">1.8. </span>Getting Started with Data", "<span class=\"section-number\">1.9. </span>Input and Output", "<span class=\"section-number\">1.15. </span>Key Terms", "<span class=\"section-number\">1.13. </span>Object-Oriented Programming in Python: Defining Classes", "<span class=\"section-number\">1.1. </span>Objectives", "Programming Exercises", "<span class=\"section-number\">1.7. </span>Review of Basic Python", "<span class=\"section-number\">1.14. </span>Summary", "<span class=\"section-number\">1.3. </span>What Is Computer Science?", "<span class=\"section-number\">1.4. </span>What Is Programming?", "<span class=\"section-number\">1.6. </span>Why Study Algorithms?", "<span class=\"section-number\">1.5. </span>Why Study Data Structures and Abstract Data Types?", "<span class=\"section-number\">1. </span>Introduction", "Writing a Proper Python Class", "Making your Class Comparable", "A Proper Class", "<span class=\"section-number\">4.3. </span>Calculating the Sum of a List of Numbers", "<span class=\"section-number\">4.9. </span>Complex Recursive Problems", "<span class=\"section-number\">4.5. </span>Converting an Integer to a String in Any Base", "Discussion Questions", "<span class=\"section-number\">4.12. </span>Dynamic Programming", "<span class=\"section-number\">4.15. </span>Exercises", "<span class=\"section-number\">4.11. </span>Exploring a Maze", "Glossary", "<span class=\"section-number\">4.14. </span>Key Terms", "<span class=\"section-number\">4.1. </span>Objectives", "<span class=\"section-number\">4.8. </span>Sierpinski Triangle", "<span class=\"section-number\">4.6. </span>Stack Frames: Implementing Recursion", "<span class=\"section-number\">4.13. </span>Summary", "<span class=\"section-number\">4.4. </span>The Three Laws of Recursion", "<span class=\"section-number\">4.10. </span>Tower of Hanoi", "<span class=\"section-number\">4.7. </span>Visualizing Recursion", "<span class=\"section-number\">4.2. </span>What Is Recursion?", "<span class=\"section-number\">4. </span>Recursion", "<span class=\"section-number\">5.15. </span>Exercises", "<span class=\"section-number\">5.5. </span>Hashing", "<span class=\"section-number\">5.14. </span>Key Terms", "<span class=\"section-number\">5.1. </span>Objectives", "<span class=\"section-number\">5.13. </span>Summary", "<span class=\"section-number\">5.4. </span>The Binary Search", "<span class=\"section-number\">5.7. </span>The Bubble Sort", "<span class=\"section-number\">5.9. </span>The Insertion Sort", "<span class=\"section-number\">5.11. </span>The Merge Sort", "<span class=\"section-number\">5.12. </span>The Quicksort", "<span class=\"section-number\">5.8. </span>The Selection Sort", "<span class=\"section-number\">5.3. </span>The Sequential Search", "<span class=\"section-number\">5.10. </span>The Shell Sort", "<span class=\"section-number\">5.2. </span>Searching", "<span class=\"section-number\">5.6. </span>Sorting", "<span class=\"section-number\">5. </span>Searching and Sorting", "<span class=\"section-number\">6.18. </span>AVL Tree Implementation", "<span class=\"section-number\">6.17. </span>AVL Tree Performance", "<span class=\"section-number\">6.16. </span>Balanced Binary Search Trees", "<span class=\"section-number\">6.11. </span>Binary Heap Implementation", "<span class=\"section-number\">6.10. </span>Binary Heap Operations", "<span class=\"section-number\">6.12. </span>Binary Search Trees", "<span class=\"section-number\">6.2. </span>Examples of Trees", "<span class=\"section-number\">6.22. </span>Exercises", "<span class=\"section-number\">6.4. </span>Implementation", "<span class=\"section-number\">6.21. </span>Key Terms", "<span class=\"section-number\">6.5. </span>List of Lists Representation", "<span class=\"section-number\">6.6. </span>Nodes and References", "<span class=\"section-number\">6.1. </span>Objectives", "<span class=\"section-number\">6.7. </span>Parse Tree", "<span class=\"section-number\">6.9. </span>Priority Queues with Binary Heaps", "<span class=\"section-number\">6.15. </span>Search Tree Analysis", "<span class=\"section-number\">6.14. </span>Search Tree Implementation", 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115, 130, 136, 138, 140, 143], "abil": [0, 22, 26, 28, 34, 79, 83, 90, 130], "put": [0, 1, 4, 5, 35, 36, 53, 57, 81, 83, 100, 111, 114, 115, 126, 130, 132, 143, 145, 146, 147, 149, 150], "look": [0, 1, 3, 4, 5, 6, 11, 15, 19, 27, 28, 29, 36, 46, 49, 50, 53, 55, 57, 59, 60, 62, 63, 64, 66, 67, 68, 72, 79, 80, 81, 83, 86, 94, 96, 97, 98, 100, 101, 102, 106, 107, 108, 109, 111, 115, 119, 121, 123, 124, 125, 130, 131, 132, 133, 136, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151], "up": [0, 1, 3, 4, 5, 10, 11, 15, 23, 27, 28, 35, 36, 44, 51, 52, 60, 62, 71, 75, 80, 83, 88, 93, 94, 97, 98, 100, 102, 109, 110, 111, 114, 115, 119, 120, 121, 122, 123, 130, 133, 137, 143, 150], "ar": [0, 1, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 17, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 34, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 57, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 77, 78, 80, 81, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94, 96, 97, 98, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 111, 114, 115, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 130, 131, 133, 134, 135, 136, 140, 141, 143, 144, 145, 146, 150, 151, 153, 154], "fundament": [0, 37, 46, 72, 79, 89, 122, 151], "oper": [0, 3, 4, 5, 6, 10, 11, 13, 16, 17, 22, 23, 24, 25, 26, 27, 29, 31, 34, 35, 37, 39, 42, 44, 45, 64, 66, 78, 81, 82, 83, 85, 88, 89, 91, 94, 98, 102, 114, 115, 119, 120, 121, 122, 126, 127, 128, 130, 131, 132, 136, 137, 140, 143, 145, 146, 149, 150, 152, 154], "all": [0, 1, 3, 4, 5, 6, 10, 11, 12, 15, 22, 23, 26, 27, 28, 29, 31, 34, 35, 36, 37, 44, 45, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 64, 65, 66, 68, 71, 72, 74, 77, 78, 79, 80, 81, 83, 85, 88, 89, 93, 94, 96, 100, 101, 102, 103, 106, 108, 109, 110, 111, 115, 123, 125, 126, 130, 131, 132, 133, 136, 141, 143, 144, 145, 146, 150, 151, 154], "provid": [0, 1, 5, 8, 11, 12, 19, 23, 24, 26, 27, 28, 29, 31, 36, 37, 44, 46, 55, 57, 58, 64, 66, 67, 74, 76, 77, 78, 79, 81, 83, 86, 88, 89, 91, 93, 94, 101, 102, 103, 107, 110, 115, 118, 130, 135, 140, 143, 146, 147, 151], "For": [0, 1, 3, 4, 5, 10, 11, 12, 15, 19, 21, 22, 23, 26, 27, 28, 31, 36, 39, 41, 43, 46, 53, 55, 60, 62, 64, 66, 70, 72, 74, 75, 77, 80, 81, 83, 86, 89, 93, 98, 100, 101, 102, 111, 114, 115, 123, 125, 126, 127, 128, 132, 133, 136, 141, 151, 153], "exampl": [0, 1, 3, 4, 5, 11, 15, 19, 20, 21, 22, 23, 26, 27, 28, 31, 33, 34, 35, 36, 39, 41, 43, 45, 46, 60, 62, 64, 65, 66, 70, 71, 72, 74, 75, 77, 79, 80, 81, 83, 86, 88, 89, 90, 94, 98, 100, 101, 102, 106, 107, 108, 109, 110, 111, 114, 115, 119, 120, 122, 123, 126, 128, 130, 132, 133, 140, 141, 143, 145, 146, 150, 151, 152, 153, 154], "figur": [0, 1, 3, 4, 5, 11, 12, 15, 22, 27, 28, 29, 33, 34, 35, 36, 44, 45, 46, 48, 49, 52, 53, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 70, 71, 72, 74, 80, 83, 88, 90, 91, 96, 98, 100, 102, 106, 107, 110, 111, 115, 119, 120, 121, 122, 123, 124, 125, 126, 130, 131, 132, 133, 136, 140, 141, 143, 145, 146, 150, 151], "1": [0, 1, 3, 4, 5, 6, 12, 13, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 33, 34, 35, 36, 44, 45, 46, 52, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 69, 71, 72, 74, 75, 77, 83, 88, 90, 96, 98, 100, 101, 102, 106, 107, 109, 110, 111, 114, 115, 119, 121, 122, 123, 124, 126, 127, 130, 131, 132, 133, 134, 136, 137, 140, 141, 143, 145, 146, 150, 151, 153, 154], "show": [0, 1, 3, 4, 5, 10, 11, 15, 17, 19, 21, 23, 24, 25, 26, 27, 28, 29, 31, 35, 36, 38, 40, 41, 44, 45, 46, 52, 53, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 70, 71, 72, 75, 77, 80, 83, 86, 91, 93, 96, 98, 100, 106, 110, 111, 114, 115, 119, 120, 121, 122, 123, 124, 125, 126, 130, 131, 132, 133, 136, 137, 140, 143, 146, 150, 151], "contain": [0, 1, 3, 5, 12, 15, 23, 26, 27, 28, 31, 46, 55, 58, 60, 66, 71, 74, 80, 81, 83, 93, 100, 102, 103, 115, 146], "In": [0, 1, 3, 4, 5, 10, 11, 12, 15, 17, 19, 22, 23, 24, 26, 27, 28, 29, 31, 33, 34, 35, 36, 44, 45, 48, 49, 51, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 67, 70, 74, 75, 77, 78, 79, 80, 81, 83, 85, 86, 88, 89, 90, 93, 96, 97, 98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 111, 114, 115, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 130, 132, 133, 135, 136, 137, 140, 141, 143, 144, 145, 146, 148, 150, 151], "thi": [0, 1, 3, 4, 5, 6, 10, 11, 12, 15, 17, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 34, 35, 36, 44, 45, 46, 49, 51, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 74, 75, 77, 78, 79, 80, 81, 83, 85, 86, 88, 89, 91, 93, 94, 96, 97, 98, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 111, 114, 115, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 130, 131, 132, 133, 135, 136, 137, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151, 153, 154], "case": [0, 1, 3, 4, 5, 10, 11, 12, 14, 15, 19, 23, 26, 27, 28, 29, 31, 33, 35, 36, 37, 43, 47, 51, 55, 57, 60, 62, 64, 74, 75, 77, 79, 80, 81, 83, 88, 90, 93, 98, 100, 102, 103, 104, 106, 108, 109, 110, 111, 115, 118, 120, 121, 122, 123, 125, 126, 130, 131, 133, 135, 140, 141, 143, 145, 146, 150, 154], "integ": [0, 3, 4, 5, 10, 11, 19, 22, 23, 27, 28, 29, 31, 36, 38, 39, 40, 41, 42, 75, 77, 78, 80, 81, 83, 85, 89, 113, 114, 115, 119, 120, 121, 125, 133, 137, 143, 154], "small": [0, 1, 4, 5, 11, 49, 53, 57, 62, 64, 65, 66, 96, 100, 109, 111, 112, 114, 115, 119, 128, 133, 136, 140], "two": [0, 1, 3, 4, 5, 6, 10, 11, 12, 15, 19, 21, 22, 23, 26, 27, 28, 29, 36, 43, 44, 49, 51, 52, 53, 56, 57, 58, 59, 60, 62, 64, 66, 68, 69, 72, 74, 77, 78, 79, 80, 81, 83, 85, 90, 91, 94, 96, 98, 100, 101, 102, 106, 110, 114, 115, 120, 122, 123, 125, 128, 130, 131, 133, 135, 136, 137, 138, 140, 141, 143, 144, 145, 146, 149, 150, 151], "charact": [0, 1, 4, 10, 22, 23, 26, 29, 33, 45, 74, 75, 80, 83, 98, 102, 107, 114, 115, 137, 143], "word": [0, 4, 10, 11, 28, 29, 36, 59, 73, 74, 78, 81, 83, 85, 88, 101, 102, 115, 125, 126, 128, 137, 154], "from": [0, 1, 3, 4, 5, 6, 10, 11, 12, 13, 15, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 51, 52, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 83, 85, 86, 88, 90, 91, 96, 98, 100, 101, 102, 103, 106, 107, 108, 110, 111, 114, 115, 119, 122, 125, 128, 130, 133, 134, 135, 136, 137, 138, 140, 143, 144, 145, 146, 147, 150, 151, 153], "logic": [0, 5, 26, 28, 37, 77, 88, 91, 92, 94, 102, 109, 144, 146, 154], "perspect": [0, 19, 88, 91], "inher": 0, "order": [0, 3, 5, 10, 11, 13, 14, 19, 21, 23, 26, 28, 29, 34, 35, 37, 38, 40, 41, 43, 44, 45, 46, 47, 55, 57, 60, 63, 66, 67, 71, 80, 81, 83, 88, 89, 98, 102, 106, 111, 114, 115, 118, 119, 120, 121, 122, 123, 124, 126, 128, 130, 134, 137, 139, 143, 144, 145, 146, 150, 151, 152, 154], "organ": [0, 1, 8, 83, 87, 103, 136], "within": [0, 1, 5, 19, 22, 29, 45, 50, 52, 74, 77, 79, 83, 150], "themselv": [0, 22, 35, 58, 83, 141, 143], "howev": [0, 1, 3, 4, 5, 10, 11, 15, 19, 24, 26, 27, 28, 29, 31, 33, 36, 49, 53, 55, 56, 59, 60, 63, 64, 65, 69, 77, 80, 83, 88, 89, 100, 101, 111, 115, 119, 120, 121, 123, 124, 125, 126, 133, 136, 140, 144, 146, 150], "93": [0, 27, 28, 31, 39, 115, 121, 123, 124, 146], "return": [0, 1, 3, 4, 5, 6, 10, 15, 19, 21, 22, 23, 24, 25, 27, 28, 29, 34, 35, 36, 38, 39, 40, 41, 42, 52, 53, 57, 58, 60, 62, 68, 71, 74, 75, 78, 80, 81, 83, 85, 88, 90, 96, 98, 100, 102, 106, 107, 109, 110, 115, 125, 127, 130, 133, 134, 138, 140, 141, 143, 146, 147, 150], "defin": [0, 3, 5, 11, 15, 23, 26, 29, 34, 38, 39, 40, 41, 58, 64, 66, 68, 72, 80, 88, 91, 92, 94, 96, 103, 107, 109, 111, 115, 131, 132, 133, 140, 141, 143, 146, 149, 150, 151, 154], "follow": [0, 1, 3, 4, 5, 6, 10, 11, 13, 15, 19, 21, 23, 25, 26, 27, 28, 29, 34, 36, 38, 40, 41, 51, 52, 54, 55, 56, 57, 58, 59, 60, 64, 66, 67, 70, 71, 74, 75, 77, 80, 81, 83, 88, 93, 94, 96, 97, 100, 101, 102, 105, 106, 108, 111, 114, 115, 119, 120, 121, 122, 123, 124, 125, 126, 130, 131, 133, 134, 136, 137, 138, 140, 141, 143, 146, 148, 150, 151], "structur": [0, 3, 5, 6, 8, 12, 15, 20, 21, 22, 23, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 38, 39, 40, 41, 42, 44, 49, 63, 66, 77, 79, 80, 82, 83, 86, 92, 103, 109, 110, 115, 135, 136, 137, 140, 141, 142, 143, 144, 148, 149, 150, 152], "describ": [0, 3, 4, 5, 6, 11, 16, 23, 24, 26, 28, 35, 36, 38, 40, 41, 42, 53, 66, 68, 80, 83, 86, 88, 89, 91, 99, 100, 101, 102, 106, 111, 114, 115, 120, 123, 126, 130, 143, 146], "abov": [0, 1, 3, 4, 5, 11, 15, 19, 21, 23, 27, 28, 29, 36, 38, 39, 40, 41, 42, 56, 66, 68, 70, 72, 77, 80, 81, 83, 98, 100, 101, 102, 106, 110, 111, 115, 119, 120, 126, 130, 132, 136, 140, 143, 146], "where": [0, 1, 3, 4, 5, 6, 11, 15, 21, 23, 24, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 48, 57, 60, 62, 65, 66, 69, 70, 72, 74, 77, 80, 83, 90, 93, 96, 98, 100, 102, 108, 109, 110, 115, 119, 120, 122, 123, 125, 126, 127, 130, 133, 136, 140, 143, 145, 146, 150, 151, 153], "can": [0, 1, 3, 4, 5, 6, 10, 11, 12, 13, 15, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 34, 35, 36, 37, 38, 43, 44, 45, 46, 49, 51, 52, 53, 55, 56, 57, 59, 60, 62, 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133, 134, 137, 138, 140, 141, 143, 144, 145, 146, 147], "empti": [0, 5, 15, 22, 24, 25, 27, 28, 29, 34, 36, 38, 39, 40, 41, 42, 49, 55, 68, 80, 83, 115, 122, 130, 134, 140, 143, 146, 147, 151], "It": [0, 1, 3, 4, 5, 10, 11, 12, 15, 17, 19, 21, 23, 25, 26, 27, 28, 29, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 55, 57, 59, 63, 64, 65, 72, 74, 75, 77, 80, 81, 83, 86, 88, 90, 93, 94, 98, 100, 102, 115, 118, 119, 120, 121, 122, 123, 125, 126, 127, 130, 133, 146, 151], "need": [0, 1, 3, 4, 5, 10, 11, 15, 19, 22, 24, 25, 26, 27, 28, 29, 34, 36, 38, 39, 40, 41, 42, 46, 49, 53, 56, 57, 60, 64, 70, 74, 75, 78, 79, 80, 81, 83, 85, 86, 88, 89, 90, 93, 96, 98, 100, 102, 110, 111, 114, 115, 119, 120, 121, 122, 123, 125, 126, 130, 132, 133, 137, 140, 141, 143, 145, 146, 150], "paramet": [0, 1, 4, 5, 6, 11, 15, 22, 23, 36, 38, 39, 40, 41, 42, 56, 58, 60, 75, 80, 81, 83, 88, 94, 96, 98, 100, 101, 102, 111, 120, 137, 138, 143, 146, 150], "add": [0, 3, 4, 5, 6, 23, 24, 25, 27, 28, 29, 33, 36, 38, 39, 40, 41, 42, 50, 53, 55, 57, 58, 59, 64, 68, 72, 78, 80, 83, 85, 98, 100, 115, 130, 133, 134, 137, 140, 141, 143, 146, 147, 150], "noth": [0, 21, 26, 29, 38, 39, 40, 41, 42, 57, 59, 110], "assum": [0, 1, 6, 10, 15, 22, 24, 25, 26, 27, 28, 29, 31, 34, 35, 38, 39, 40, 42, 44, 46, 60, 64, 74, 78, 83, 85, 88, 99, 101, 102, 106, 115, 119, 121, 122, 125, 150], "alreadi": [0, 3, 5, 24, 28, 29, 39, 42, 55, 57, 59, 62, 72, 81, 83, 96, 100, 102, 103, 110, 115, 120, 121, 122, 123, 128, 130, 133, 135, 137, 140, 143, 146, 147, 150], "get": [0, 1, 3, 4, 5, 6, 10, 11, 12, 13, 15, 19, 24, 25, 28, 29, 36, 38, 45, 55, 56, 58, 60, 62, 64, 65, 74, 81, 83, 88, 91, 92, 94, 96, 98, 100, 101, 102, 106, 109, 111, 112, 114, 115, 119, 125, 126, 128, 130, 131, 132, 133, 135, 136, 140, 141, 143, 145, 146, 147, 149, 150, 154], "should": [0, 4, 5, 11, 12, 23, 27, 28, 29, 34, 36, 55, 57, 58, 59, 65, 71, 75, 78, 80, 83, 85, 86, 87, 93, 96, 98, 101, 102, 110, 111, 115, 119, 120, 128, 130, 137, 140, 143, 146, 150], "note": 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38, 39, 43, 44, 56, 68, 78, 80, 81, 83, 85, 100, 101, 102, 115, 119, 123, 125, 127, 141, 143, 146, 151], "found": [0, 1, 5, 6, 10, 12, 27, 28, 53, 55, 56, 60, 77, 78, 81, 85, 102, 115, 125, 127, 130, 133, 145, 146], "more": [0, 1, 3, 4, 5, 6, 10, 15, 19, 21, 22, 23, 27, 28, 29, 31, 36, 45, 48, 53, 57, 60, 63, 64, 65, 66, 69, 72, 77, 80, 81, 83, 86, 90, 91, 93, 100, 102, 108, 109, 110, 111, 114, 115, 119, 122, 126, 128, 130, 131, 132, 136, 137, 140, 141, 143, 145, 146, 150, 151], "check": [0, 1, 3, 4, 5, 14, 20, 21, 23, 24, 27, 33, 55, 57, 58, 59, 60, 62, 77, 78, 85, 93, 94, 96, 100, 101, 130, 133, 136, 137, 143, 150, 154], "highest": [0, 5, 144], "continu": [0, 1, 3, 11, 15, 19, 21, 22, 23, 27, 28, 33, 35, 51, 56, 57, 59, 60, 64, 74, 77, 78, 83, 85, 87, 101, 102, 106, 114, 120, 122, 124, 125, 130, 141, 143, 146], "line": [0, 1, 3, 4, 5, 12, 21, 22, 23, 24, 26, 27, 28, 29, 34, 35, 36, 45, 46, 53, 55, 57, 60, 62, 75, 77, 78, 80, 83, 85, 96, 98, 100, 101, 102, 107, 109, 110, 111, 115, 120, 121, 122, 130, 141, 143, 150], "check1": 0, "down1": 0, "On": [0, 1, 3, 5, 10, 29, 36, 62, 88, 110, 111, 120, 121, 124, 125, 126, 127, 128], "hand": [0, 1, 19, 22, 27, 29, 34, 59, 62, 72, 80, 88, 106, 122, 128, 130], "exist": [0, 1, 3, 5, 6, 22, 23, 27, 28, 36, 42, 44, 45, 46, 78, 83, 85, 88, 89, 90, 114, 115, 141, 143, 146, 150], "compar": [0, 1, 6, 11, 12, 13, 15, 19, 20, 21, 23, 27, 28, 29, 32, 33, 34, 53, 57, 75, 83, 90, 93, 95, 101, 114, 119, 120, 125, 127, 128, 133, 146, 154], "match": [0, 2, 3, 5, 6, 8, 9, 10, 21, 23, 28, 29, 33, 34, 53, 55, 100, 115, 146, 147, 154], "check2": 0, "current": [0, 1, 3, 5, 19, 21, 27, 28, 34, 36, 38, 40, 46, 54, 55, 59, 60, 62, 80, 83, 93, 100, 102, 115, 121, 123, 130, 133, 138, 140, 143, 146], "while": [0, 1, 4, 5, 10, 13, 15, 26, 27, 28, 36, 46, 50, 51, 55, 59, 60, 63, 64, 74, 80, 81, 96, 98, 106, 112, 115, 123, 124, 130, 133, 146, 150, 151], "els": [0, 1, 4, 5, 27, 28, 29, 57, 60, 74, 77, 83, 102, 115, 130, 133, 140, 141, 143, 146, 150], "mismatch": [0, 1, 6, 21], "veri": [0, 1, 3, 4, 5, 8, 11, 15, 19, 21, 22, 23, 24, 26, 28, 29, 33, 34, 37, 38, 43, 45, 49, 53, 55, 62, 63, 64, 65, 66, 74, 77, 80, 81, 83, 88, 89, 91, 97, 98, 101, 102, 108, 109, 110, 111, 112, 115, 120, 121, 123, 125, 126, 127, 130, 131, 133, 136, 138, 140, 146, 147, 150, 151, 154], "inform": [0, 1, 4, 5, 6, 12, 15, 22, 23, 28, 29, 64, 65, 72, 82, 83, 86, 91, 115, 143, 151], "check3": 0, "know": [0, 1, 4, 5, 10, 15, 24, 27, 28, 29, 34, 36, 53, 60, 63, 64, 71, 72, 75, 83, 88, 90, 93, 94, 96, 98, 100, 101, 102, 110, 111, 115, 119, 120, 123, 125, 130, 143, 146, 151], "everyth": [0, 3, 75, 96, 115], "greater": [0, 3, 5, 11, 22, 27, 35, 64, 74, 77, 80, 81, 83, 94, 119, 121, 122, 123, 132, 145, 146], "down2": 0, "discov": [0, 1, 19, 27, 28, 55, 59, 115, 123, 125, 146], "break": [0, 1, 4, 28, 83, 98, 102, 109, 112, 126, 130, 133, 143], "out": [0, 1, 3, 4, 5, 10, 11, 15, 19, 23, 27, 28, 30, 33, 34, 35, 36, 37, 38, 41, 45, 46, 49, 53, 56, 57, 59, 64, 65, 70, 74, 75, 80, 88, 93, 98, 100, 101, 102, 106, 110, 111, 120, 123, 125, 126, 127, 128, 130, 133, 140, 141, 143, 144, 146, 150], "loop": [0, 1, 3, 4, 5, 15, 28, 50, 51, 54, 55, 57, 58, 60, 66, 96, 100, 102], "long": [0, 1, 4, 10, 15, 21, 27, 28, 29, 34, 36, 51, 53, 60, 74, 75, 88, 89, 90, 96, 110], "next1": 0, "onc": [0, 1, 3, 4, 5, 10, 15, 21, 23, 26, 27, 28, 29, 34, 36, 43, 50, 51, 52, 53, 54, 55, 59, 60, 62, 63, 66, 69, 83, 88, 100, 102, 106, 111, 115, 119, 120, 122, 130, 132, 133, 140, 143, 146], "enter": [0, 1, 45, 77, 81, 83], "repeat": [0, 1, 4, 5, 12, 15, 19, 59, 74, 78, 80, 85, 102, 119, 123, 125, 133], "complet": [0, 1, 5, 6, 26, 27, 28, 29, 33, 34, 36, 45, 52, 55, 59, 60, 63, 75, 77, 83, 102, 111, 115, 119, 120, 121, 123, 124, 126, 130, 133, 139, 143, 145], "hope": [0, 19, 36], "sooner": 0, "fairli": [0, 19, 130], "easi": [0, 1, 4, 5, 8, 11, 19, 27, 49, 58, 62, 63, 64, 74, 86, 87, 97, 98, 100, 102, 110, 111, 115, 122, 127, 130, 133, 140, 144, 146], "task": [0, 1, 4, 15, 45, 47, 51, 67, 90, 146, 154], "understand": [0, 2, 3, 4, 5, 11, 16, 17, 19, 29, 32, 63, 64, 65, 69, 74, 79, 80, 83, 84, 88, 90, 100, 105, 111, 115, 117, 130, 133, 142, 143, 145], "built": [0, 1, 3, 4, 10, 22, 28, 53, 83, 86, 87, 89, 91, 92, 115, 143, 154], "give": [0, 3, 4, 5, 10, 11, 13, 22, 25, 26, 29, 36, 43, 51, 77, 78, 79, 80, 83, 85, 89, 91, 93, 98, 100, 101, 103, 107, 110, 111, 115, 119, 122, 125, 130, 133, 137, 143, 145, 150], "essenti": [0, 19, 115, 130], "step": [0, 1, 4, 10, 11, 19, 23, 27, 28, 29, 47, 55, 56, 57, 59, 60, 64, 66, 69, 70, 71, 74, 88, 89, 93, 98, 100, 102, 110, 111, 115, 120, 121, 122, 123, 124, 125, 126, 130, 133, 143, 146, 154], "posit": [0, 1, 3, 4, 5, 6, 10, 12, 15, 22, 23, 24, 25, 26, 27, 28, 29, 31, 37, 39, 42, 43, 44, 46, 52, 55, 62, 64, 78, 80, 81, 83, 85, 100, 102, 114, 115, 120, 121, 123, 125, 128, 130, 133, 136, 140, 146, 150], "been": [0, 1, 3, 5, 19, 22, 27, 28, 29, 34, 35, 36, 38, 40, 41, 45, 46, 53, 57, 59, 60, 66, 71, 77, 91, 102, 115, 122, 125, 126, 128, 130, 133, 146], "rememb": [0, 4, 5, 19, 26, 27, 28, 29, 36, 57, 80, 83, 98, 100, 102, 108, 110, 111, 115, 121, 130, 133, 137, 141, 145, 146], "9": [0, 3, 4, 5, 22, 23, 27, 28, 29, 58, 60, 64, 65, 72, 74, 75, 80, 83, 96, 98, 101, 102, 106, 110, 114, 115, 120, 122, 123, 126, 130, 133, 137, 146], "65": [0, 4, 36, 115], "hi": [0, 35, 62, 102], "path": [0, 5, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 66, 67, 69, 70, 72, 73, 100, 102, 136, 139, 151, 154], "hit": [0, 75], "caus": [0, 3, 10, 27, 29, 74, 77, 78, 83, 85, 103, 115, 120, 121, 146], "eventu": [0, 1, 28, 33, 45, 65, 91, 103, 115, 122, 123, 126], "base": [0, 1, 3, 4, 5, 8, 10, 19, 22, 23, 26, 27, 28, 35, 36, 39, 45, 46, 55, 56, 60, 74, 81, 83, 90, 100, 102, 103, 104, 106, 108, 109, 110, 111, 113, 114, 115, 122, 123, 126, 130, 131, 143, 150, 154], "second": [0, 1, 3, 4, 5, 10, 11, 12, 15, 19, 26, 28, 29, 31, 36, 55, 59, 60, 62, 64, 66, 69, 79, 80, 81, 83, 96, 98, 109, 110, 114, 115, 119, 120, 122, 123, 124, 128, 130, 133, 136, 140, 141, 146, 151], "10": [0, 1, 4, 11, 12, 15, 19, 22, 23, 27, 28, 29, 36, 56, 57, 60, 62, 64, 65, 66, 69, 74, 77, 80, 83, 90, 94, 98, 100, 101, 102, 106, 107, 109, 110, 114, 115, 120, 121, 122, 123, 130, 137, 143, 146, 153], "stop": [0, 1, 4, 5, 23, 27, 28, 35, 98, 106, 109, 120, 121, 122, 123, 124, 125, 126], "best": [0, 3, 10, 11, 75, 80, 83, 100, 115, 119, 120, 121, 125, 150], "ever": [0, 27, 56, 63, 94, 101, 103], "also": [0, 1, 3, 4, 5, 12, 15, 19, 22, 23, 24, 25, 27, 28, 29, 31, 34, 35, 36, 43, 44, 45, 48, 55, 57, 58, 59, 60, 63, 64, 72, 74, 75, 77, 79, 80, 81, 83, 86, 88, 89, 90, 94, 96, 98, 100, 102, 107, 111, 115, 120, 121, 122, 123, 124, 128, 130, 133, 136, 143, 145, 146, 150, 151], "high": [0, 6, 29, 36, 65, 79, 91, 110, 125, 128], "predetermin": [0, 114], "instead": [0, 5, 19, 22, 26, 28, 29, 35, 62, 77, 80, 81, 101, 107, 111, 115, 119, 126, 150], "probabilist": [0, 23, 36], "essenc": [0, 1, 120], "flip": 0, "coin": [0, 99, 100, 101], "decid": [0, 6, 10, 11, 25, 26, 27, 34, 35, 36, 55, 59, 71, 74, 90, 94, 100, 114, 115, 125], "whether": [0, 1, 4, 6, 10, 12, 19, 22, 27, 28, 29, 33, 34, 36, 38, 39, 40, 41, 42, 74, 80, 83, 90, 115, 119, 125, 127, 130], "anoth": [0, 4, 5, 10, 11, 12, 15, 19, 22, 23, 27, 28, 29, 35, 43, 46, 53, 57, 58, 63, 65, 66, 69, 70, 72, 74, 75, 76, 78, 80, 81, 83, 85, 88, 90, 94, 101, 106, 110, 111, 115, 119, 125, 127, 128, 130, 133, 135, 136, 137, 140, 141, 146, 151], "random": [0, 4, 12, 13, 35, 36, 37, 75, 101, 111, 114, 137, 145], "gener": [0, 1, 3, 4, 10, 15, 17, 19, 22, 35, 36, 37, 47, 52, 54, 56, 60, 62, 63, 64, 67, 73, 74, 75, 78, 80, 83, 85, 101, 106, 107, 111, 114, 115, 119, 121, 126, 131, 136, 137, 140, 146, 150, 154], "simul": [0, 3, 23, 30, 32, 37, 47, 75, 78, 82, 83, 85, 154], "randrang": [0, 12, 36], "modul": [0, 15, 19, 26, 36, 75, 77, 80, 83, 88, 101, 102, 106, 111, 143], "interpret": [0, 22, 29, 77, 81, 86, 89, 102, 143], "lst_insert": 0, "immedi": [0, 1, 21, 27, 28, 29, 34, 35, 78, 85, 98, 100, 102, 122, 125], "question": [0, 1, 4, 5, 10, 19, 23, 27, 28, 36, 37, 53, 55, 56, 74, 78, 80, 83, 85, 94, 122, 127, 130, 136, 137, 145], "iter": [0, 1, 3, 4, 6, 10, 11, 12, 15, 19, 22, 27, 28, 51, 55, 57, 58, 59, 74, 75, 83, 89, 93, 96, 97, 101, 105, 108, 114, 115, 121, 146], "14": [0, 5, 22, 28, 57, 62, 64, 83, 100, 102, 115, 119, 121, 123, 124, 125, 146, 150], "toss": 0, "non": [0, 5, 70, 77, 137, 146], "15": [0, 4, 15, 23, 27, 29, 34, 56, 57, 64, 100, 101, 102, 111, 119, 120, 121, 123, 125, 126, 127], "mani": [0, 1, 3, 4, 5, 8, 10, 12, 15, 19, 21, 24, 26, 27, 29, 34, 35, 36, 39, 43, 44, 45, 46, 49, 53, 57, 59, 60, 63, 64, 65, 66, 67, 69, 70, 71, 74, 77, 78, 79, 80, 83, 85, 89, 90, 91, 93, 98, 100, 101, 102, 109, 111, 115, 119, 123, 125, 126, 127, 128, 136, 140, 143, 146, 148, 151], "save": [0, 3, 5, 29, 150], "part": [0, 1, 3, 4, 5, 11, 23, 28, 34, 50, 51, 62, 64, 66, 72, 74, 80, 83, 89, 102, 115, 119, 120, 130, 133, 136, 143, 151], "These": [0, 1, 4, 5, 11, 21, 29, 36, 43, 77, 80, 81, 83, 88, 89, 91, 108, 115, 120, 130, 140, 150], "revers": [0, 15, 22, 23, 26, 28, 29, 34, 37, 46, 62, 66, 80, 98, 101, 115], "so": [0, 1, 3, 4, 5, 6, 10, 11, 15, 19, 22, 23, 27, 28, 29, 31, 34, 36, 40, 45, 50, 53, 55, 56, 57, 59, 60, 62, 63, 64, 65, 66, 74, 75, 77, 78, 80, 81, 83, 85, 88, 89, 90, 93, 94, 100, 101, 102, 106, 109, 110, 111, 114, 115, 119, 122, 123, 124, 125, 126, 130, 133, 136, 137, 140, 143, 145, 146, 150], "stack": [0, 21, 22, 23, 24, 29, 30, 32, 34, 37, 43, 44, 45, 47, 57, 60, 98, 99, 101, 104, 110, 113, 136, 143, 154], "work": [0, 1, 3, 4, 5, 13, 19, 22, 23, 26, 27, 29, 36, 45, 53, 55, 57, 59, 64, 65, 74, 75, 78, 80, 83, 85, 88, 89, 90, 93, 96, 98, 100, 102, 106, 110, 111, 115, 119, 120, 121, 122, 125, 127, 130, 133, 140, 143, 145, 146, 150], "nice": [0, 3, 4, 12, 24, 93, 140], "back": [0, 1, 3, 4, 5, 22, 23, 29, 35, 46, 57, 59, 60, 64, 65, 77, 78, 83, 85, 98, 100, 102, 103, 106, 111, 115, 121, 122, 130, 132, 133, 137, 143, 144, 150], "necessari": [0, 1, 3, 4, 19, 27, 28, 36, 45, 57, 62, 74, 78, 83, 85, 88, 89, 114, 115, 119, 120, 122, 126, 128, 130], "34": [0, 66, 122], "pop": [0, 3, 6, 15, 22, 23, 24, 25, 26, 28, 29, 34, 37, 39, 41, 42, 45, 53, 60, 80, 107, 133, 140, 143], "grow": [0, 1, 5, 10, 11, 12, 15, 26, 29, 62, 64, 79, 137], "after": [0, 1, 4, 5, 6, 10, 15, 19, 22, 23, 28, 29, 35, 36, 43, 50, 57, 59, 62, 74, 75, 81, 83, 98, 107, 111, 115, 119, 120, 121, 122, 123, 124, 125, 126, 130, 133, 146, 150], "leav": [0, 1, 3, 5, 10, 27, 28, 29, 45, 51, 57, 62, 66, 83, 107, 115, 119, 122, 123, 130, 133, 134, 136, 144, 146], "remain": [0, 1, 4, 5, 12, 23, 27, 28, 29, 34, 35, 36, 44, 60, 64, 78, 79, 81, 83, 85, 91, 110, 115, 119, 123, 124, 130, 132], "trace": [0, 1, 55, 64, 66, 98, 100, 130, 137, 143], "temp": [0, 27, 28, 120], "top": [0, 5, 21, 26, 29, 41, 43, 46, 83, 106, 107, 110, 133, 136, 143], "newhead": 0, "push": [0, 21, 22, 26, 29, 34, 37, 41, 46, 62, 107, 133, 140, 141, 143], "lowest_level": 0, "is_empti": [0, 24, 25, 26, 27, 28, 36, 37, 38, 39, 40, 41, 42, 64, 134], "next_level": 0, "make": [0, 3, 4, 5, 6, 10, 11, 12, 15, 23, 26, 28, 29, 33, 34, 36, 39, 42, 44, 45, 52, 55, 57, 58, 60, 62, 66, 70, 71, 74, 75, 78, 83, 85, 89, 93, 95, 96, 98, 99, 100, 101, 102, 103, 106, 107, 108, 110, 111, 114, 115, 120, 121, 122, 124, 125, 126, 130, 131, 132, 133, 137, 140, 141, 143, 146, 150, 151, 154], "about": [0, 1, 3, 4, 5, 10, 12, 15, 17, 19, 22, 29, 35, 36, 55, 59, 62, 63, 65, 71, 75, 79, 80, 81, 86, 89, 93, 100, 102, 106, 109, 110, 111, 114, 115, 119, 121, 125, 128, 131, 133, 136, 141, 143, 144, 145], "had": [0, 1, 3, 5, 10, 15, 100, 102, 115, 125], "mention": [0, 5, 81, 111, 123], "earlier": [0, 1, 2, 10, 11, 19, 27, 28, 29, 34, 36, 57, 59, 74, 75, 80, 83, 90, 91, 115, 120, 123, 125, 126, 144, 146, 150], "even": [0, 1, 3, 4, 5, 10, 12, 15, 19, 22, 26, 33, 44, 49, 57, 63, 69, 74, 80, 90, 100, 102, 103, 107, 110, 111, 115, 119, 122, 123, 127, 130, 133, 146, 150], "thei": [0, 3, 4, 5, 10, 11, 15, 17, 19, 22, 23, 26, 27, 28, 29, 33, 34, 35, 36, 43, 45, 46, 49, 54, 55, 59, 63, 64, 71, 76, 77, 78, 80, 83, 88, 90, 91, 94, 100, 102, 110, 115, 120, 122, 125, 126, 127, 128, 143], "why": [0, 3, 5, 6, 15, 16, 17, 29, 56, 57, 62, 79, 92, 102, 110, 114, 137, 146, 154], "natur": [0, 36, 44, 57, 62, 108, 109, 111, 119, 133, 136, 143], "ani": [0, 1, 3, 4, 5, 10, 11, 12, 15, 19, 21, 22, 23, 26, 27, 28, 29, 34, 35, 36, 46, 53, 55, 56, 57, 59, 64, 65, 71, 74, 75, 81, 83, 86, 88, 91, 96, 100, 101, 102, 103, 110, 113, 115, 125, 130, 131, 133, 136, 140, 141, 145, 146, 150, 151, 153, 154], "bound": [0, 3, 15, 69, 77], "chang": [0, 1, 11, 12, 21, 22, 23, 26, 27, 28, 29, 36, 55, 59, 60, 62, 64, 70, 79, 80, 81, 83, 91, 93, 98, 99, 100, 101, 102, 108, 109, 111, 115, 126, 130, 131, 136, 145, 146, 150, 154], "discuss": [0, 3, 4, 11, 26, 27, 28, 29, 31, 47, 72, 80, 83, 91, 98, 115, 128, 130, 133, 135, 146, 154], "lst_mapclass": 0, "intern": [0, 5, 25, 36, 63, 83, 102, 133, 138, 144, 150, 154], "init": [0, 83], "label": [0, 1, 3, 4, 5, 53, 65, 83, 96, 100], "simpli": [0, 1, 3, 4, 5, 10, 11, 19, 21, 22, 27, 28, 29, 34, 35, 36, 57, 58, 64, 74, 75, 77, 80, 83, 86, 88, 90, 98, 100, 102, 107, 110, 115, 119, 122, 123, 127, 131, 133, 140, 141, 143, 145, 146, 150], "expect": [0, 2, 8, 15, 24, 29, 56, 64, 80, 89, 111, 141], "better": [0, 1, 3, 4, 5, 19, 28, 36, 53, 64, 75, 78, 79, 83, 85, 90, 91, 114, 115, 119, 123, 126, 131, 144, 146, 150], "recal": [0, 1, 3, 4, 12, 21, 25, 26, 27, 28, 29, 36, 55, 83, 86, 96, 114, 115, 119, 120, 122, 125, 128, 131, 135, 143, 145, 146], "upon": [0, 19, 24, 29, 35, 36, 39, 75, 78, 83, 85, 90, 106], "probabl": [0, 5, 10, 12, 15, 19, 22, 36, 88, 110, 115, 119, 125, 133, 136, 144, 145, 150], "event": [0, 1, 36, 71, 77], "although": [0, 4, 10, 11, 15, 19, 27, 29, 57, 69, 79, 83, 88, 89, 100, 110, 115, 121, 123, 126, 133, 140], "rigor": 0, "beyond": [0, 3, 22, 83, 88, 115, 125, 126, 133, 141], "scope": [0, 83, 88, 107, 115, 126, 133], "text": [0, 1, 3, 4, 5, 6, 8, 65, 75, 79, 81, 83, 88, 102, 114, 115, 126, 131, 154], "strong": 0, "argument": [0, 22, 34, 81, 106], "off": [0, 5, 14, 15, 20, 23, 34, 68, 90, 102, 107, 111, 123, 143, 146, 154], "frac": [0, 10, 19, 36, 75, 83, 115, 119, 120, 125, 126, 131], "tallest": 0, "log_": 0, "big": [0, 3, 10, 13, 14, 16, 17, 18, 20, 23, 56, 91, 100, 130, 131, 154], "notat": [0, 14, 17, 18, 20, 21, 29, 80, 83, 89, 93, 154], "To": [0, 1, 2, 3, 4, 5, 10, 15, 16, 19, 22, 23, 27, 28, 29, 32, 34, 35, 36, 46, 52, 53, 55, 59, 63, 64, 66, 70, 71, 75, 80, 83, 84, 89, 91, 96, 100, 102, 103, 105, 109, 111, 115, 117, 119, 120, 123, 125, 130, 132, 133, 140, 141, 142, 143, 146, 149], "analyz": [0, 3, 6, 10, 11, 19, 27, 51, 115, 119, 120, 122, 123, 125, 128], "scan": [0, 29], "direct": [0, 5, 23, 55, 56, 61, 64, 66, 68, 71, 72, 78, 85, 98, 102, 114, 130, 151, 153], "result": [0, 1, 3, 4, 5, 6, 11, 12, 15, 19, 22, 23, 25, 28, 29, 34, 36, 38, 40, 41, 55, 57, 62, 71, 74, 75, 77, 78, 80, 81, 83, 85, 86, 88, 89, 90, 98, 100, 107, 114, 115, 119, 120, 122, 123, 125, 131, 133, 137, 140, 143, 146, 150], "suggest": [0, 27, 28, 75, 90, 98, 101, 115, 128, 143], "worst": [0, 3, 11, 14, 27, 51, 90, 118, 120, 123, 125, 131, 145], "includ": [0, 1, 3, 4, 5, 15, 22, 23, 26, 29, 31, 56, 59, 63, 71, 75, 76, 78, 80, 81, 83, 88, 94, 98, 101, 102, 103, 136, 137, 153], "occur": [0, 1, 3, 10, 21, 26, 28, 29, 36, 43, 45, 46, 70, 77, 79, 83, 102, 103, 115, 123, 125], "happen": [0, 1, 4, 15, 26, 28, 29, 35, 45, 46, 54, 59, 60, 62, 83, 88, 93, 94, 97, 98, 109, 111, 115, 123, 125, 126, 130, 150], "constant": [0, 3, 11, 12, 14, 15, 26, 35, 62, 79, 81, 102, 115, 118, 119, 131, 145], "domin": [0, 10, 11, 18, 115], "locat": [0, 1, 3, 6, 27, 28, 43, 52, 64, 65, 80, 88, 115, 120, 123, 124], "comput": [1, 3, 4, 5, 6, 10, 11, 15, 19, 21, 22, 29, 34, 36, 43, 45, 46, 62, 63, 65, 66, 69, 71, 74, 75, 76, 78, 79, 82, 83, 84, 87, 89, 90, 91, 92, 96, 100, 101, 105, 109, 111, 114, 115, 122, 125, 127, 128, 133, 136, 154], "graphic": [1, 5, 97, 101, 111, 136], "textual": 1, "still": [1, 3, 4, 10, 15, 22, 27, 28, 29, 36, 51, 52, 59, 64, 74, 77, 81, 100, 110, 111, 115, 120, 121, 125, 133, 136, 146, 150], "area": [1, 5, 8, 65, 66, 67, 79, 101, 128, 136], "studi": [1, 11, 22, 36, 43, 59, 63, 65, 66, 69, 70, 79, 87, 88, 89, 92, 121, 122, 124, 127, 128, 130, 135, 136, 144, 154], "Of": [1, 3, 5, 15, 31, 36, 51, 62, 66, 80, 133], "substr": [1, 7, 80], "The": [1, 3, 5, 6, 9, 10, 11, 12, 15, 19, 21, 22, 23, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 65, 66, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 83, 85, 86, 88, 89, 91, 96, 98, 100, 101, 102, 103, 105, 106, 107, 108, 110, 111, 113, 114, 115, 128, 129, 130, 134, 135, 136, 138, 140, 141, 143, 144, 145, 146, 150, 151, 152, 154], "type": [1, 3, 5, 9, 21, 23, 24, 25, 26, 29, 31, 32, 36, 37, 45, 47, 58, 63, 67, 73, 74, 75, 76, 77, 78, 81, 82, 83, 84, 85, 86, 87, 88, 89, 92, 100, 102, 103, 110, 117, 129, 132, 135, 140, 149, 154], "search": [1, 5, 6, 8, 9, 27, 28, 39, 42, 55, 56, 60, 61, 62, 65, 66, 67, 69, 70, 71, 73, 102, 114, 115, 116, 117, 118, 122, 128, 130, 131, 133, 137, 139, 149, 152, 154], "identifi": [1, 5, 19, 29, 66, 80, 90, 100, 136, 143], "least": [1, 5, 6, 28, 29, 39, 42, 51, 64, 100, 137, 151], "occurr": [1, 6, 10, 80], "extens": [1, 4], "python": [1, 4, 5, 6, 9, 10, 11, 16, 19, 20, 21, 22, 23, 27, 28, 29, 31, 32, 34, 44, 45, 46, 47, 49, 52, 53, 58, 64, 66, 68, 74, 75, 77, 79, 81, 84, 87, 88, 92, 94, 95, 96, 98, 106, 107, 110, 111, 115, 119, 120, 122, 125, 127, 133, 138, 140, 143, 146, 147], "ccabababcab": 1, "ab": [1, 74, 77], "xyz": 1, "index": [1, 3, 5, 6, 13, 15, 22, 23, 26, 28, 39, 42, 77, 80, 83, 93, 102, 114, 115, 125, 133, 140, 154], "doe": [1, 3, 4, 11, 15, 19, 21, 28, 29, 36, 41, 44, 59, 62, 75, 77, 78, 80, 81, 83, 85, 88, 89, 93, 94, 97, 100, 101, 102, 103, 106, 110, 111, 114, 115, 118, 122, 123, 125, 126, 130, 137, 143, 145, 146], "excit": 1, "algorithm": [1, 2, 3, 7, 9, 10, 11, 13, 15, 16, 18, 22, 23, 29, 33, 34, 36, 37, 43, 45, 51, 53, 56, 57, 59, 60, 62, 63, 65, 66, 67, 69, 70, 71, 74, 75, 77, 79, 82, 83, 86, 88, 89, 91, 92, 96, 97, 98, 99, 100, 101, 102, 106, 107, 108, 109, 110, 114, 115, 116, 118, 119, 120, 121, 122, 123, 125, 127, 128, 130, 133, 137, 143, 144, 146, 148, 150, 151], "develop": [1, 3, 15, 29, 59, 60, 64, 79, 83, 88, 89, 90, 101, 128], "take": [1, 3, 4, 5, 6, 10, 11, 12, 15, 19, 22, 23, 27, 28, 29, 46, 50, 52, 59, 60, 63, 71, 72, 74, 75, 77, 79, 80, 81, 83, 88, 89, 90, 93, 96, 98, 100, 102, 106, 107, 108, 109, 111, 115, 119, 120, 122, 128, 130, 131, 133, 136, 137, 143, 146, 147, 150], "domain": [1, 77, 87, 91], "bioinformat": 1, "manag": [1, 35, 87, 91], "larg": [1, 4, 5, 10, 11, 15, 36, 49, 53, 55, 66, 79, 106, 109, 115, 119, 122, 125, 128, 150], "quantiti": [1, 5], "data": [1, 3, 4, 5, 6, 9, 11, 12, 15, 16, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 43, 44, 45, 46, 49, 58, 63, 64, 67, 73, 75, 79, 81, 82, 83, 84, 86, 87, 89, 92, 102, 103, 109, 110, 114, 117, 122, 125, 129, 132, 135, 136, 140, 141, 142, 143, 144, 146, 148, 149, 150], "much": [1, 3, 4, 5, 12, 15, 28, 33, 36, 53, 62, 78, 80, 81, 83, 85, 90, 91, 102, 111, 112, 146], "form": [1, 4, 5, 23, 29, 64, 66, 68, 74, 80, 81, 83, 96, 98, 105, 115, 137, 147, 150], "code": [1, 3, 4, 5, 10, 11, 13, 15, 19, 22, 23, 24, 28, 29, 34, 36, 53, 55, 57, 58, 59, 62, 64, 66, 74, 77, 78, 80, 83, 85, 88, 94, 98, 102, 103, 106, 107, 110, 111, 120, 128, 130, 133, 136, 137, 140, 141, 143, 146, 150, 153], "genet": 1, "materi": [1, 26], "chromosom": 1, "individu": [1, 5, 64, 83, 125, 143], "deoxyribonucl": 1, "acid": 1, "dna": [1, 7], "molecul": 1, "blueprint": 1, "protein": 1, "synthesi": 1, "sequenc": [1, 3, 4, 21, 22, 23, 24, 25, 26, 34, 38, 40, 41, 55, 57, 63, 64, 69, 70, 72, 74, 83, 96, 98, 101, 103, 115, 119, 125, 131], "chemic": 1, "adenin": 1, "thymin": 1, "t": [1, 4, 5, 10, 11, 12, 29, 57, 62, 64, 66, 77, 102, 111, 114, 115], "guanin": 1, "g": [1, 5, 29, 58, 59, 64, 66, 71, 72, 81, 89, 103, 132, 146], "cytosin": 1, "c": [1, 3, 4, 5, 10, 11, 23, 29, 57, 60, 62, 64, 65, 66, 74, 81, 83, 100, 115, 130, 140, 141], "symbol": [1, 10, 28, 29, 34, 47, 80, 81, 154], "alphabet": [1, 4, 10, 22, 57, 60, 75, 128], "piec": [1, 5, 23, 28, 64, 69, 75, 80, 83, 96, 100, 101, 106, 110, 115, 119, 141], "atcgtagagtcagtagagactadtggtacga": 1, "might": [1, 3, 4, 5, 11, 15, 29, 31, 36, 43, 53, 62, 63, 66, 70, 71, 72, 81, 88, 90, 93, 94, 96, 98, 110, 111, 114, 115, 125, 130, 133, 136, 141, 145, 146], "strand": [1, 62], "perhap": [1, 4, 15, 19, 36, 46, 88, 90, 115], "thousand": [1, 5, 15, 69], "tool": [1, 4, 15, 79, 87, 88, 111], "research": [1, 5, 69, 78, 85, 101, 114], "reduc": [1, 4, 5, 6, 8, 15, 55, 64, 66, 78, 83, 85, 98, 100, 110, 111, 115, 126, 130], "underli": [1, 10, 19, 27, 39, 66, 77, 83, 88, 125, 127], "further": [1, 2, 4, 11, 19, 25, 26, 27, 59, 81, 83, 93, 94, 102, 103, 115, 119, 120, 130, 131, 133, 143], "typic": [1, 10, 19, 22, 28, 35, 36, 39, 45, 58, 77, 80, 83, 89, 109, 115, 120, 124, 125, 127], "quit": [1, 4, 36, 71, 80, 90, 101, 111], "sure": [1, 4, 21, 23, 28, 29, 39, 52, 57, 75, 77, 78, 83, 85, 100, 110, 111, 115, 130, 132, 143, 146], "approach": [1, 4, 5, 10, 15, 27, 28, 36, 49, 53, 62, 64, 100, 101, 115, 140, 141, 146], "solut": [1, 4, 5, 19, 20, 22, 28, 29, 33, 53, 56, 59, 62, 64, 70, 79, 88, 89, 90, 96, 97, 100, 101, 105, 108, 109, 110, 112, 119, 143, 154], "your": [1, 3, 4, 5, 6, 15, 19, 22, 23, 28, 29, 46, 49, 56, 59, 62, 63, 65, 71, 74, 75, 77, 78, 79, 80, 81, 83, 85, 88, 93, 95, 100, 101, 102, 111, 114, 137, 153], "mind": [1, 4, 5, 28, 138], "solv": [1, 5, 10, 11, 19, 22, 33, 34, 43, 53, 55, 56, 59, 60, 63, 64, 65, 67, 69, 70, 72, 78, 79, 80, 83, 84, 85, 87, 88, 89, 90, 91, 96, 97, 98, 100, 101, 102, 105, 108, 109, 110, 111, 112, 119, 125, 130, 131, 143], "try": [1, 5, 6, 11, 15, 28, 36, 55, 62, 74, 77, 80, 83, 94, 98, 100, 102, 103, 106, 108, 110, 140], "whenev": [1, 29, 83, 102, 143], "slide": 1, "sixth": 1, "attempt": [1, 15, 115, 123], "shade": [1, 5, 58, 66, 120, 121, 146], "denot": [1, 11, 27, 28, 29, 77, 115, 130], "partial": [1, 120, 121, 124, 126], "list": [1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 32, 35, 36, 37, 38, 41, 43, 47, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 68, 71, 73, 74, 75, 77, 82, 83, 87, 88, 93, 100, 101, 102, 103, 107, 109, 110, 111, 113, 114, 115, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 130, 133, 134, 135, 136, 137, 138, 141, 142, 143, 144, 146, 149, 150, 151, 152, 154], "lst_simplematch": 1, "implement": [1, 2, 3, 4, 5, 6, 9, 11, 12, 15, 16, 17, 18, 19, 21, 22, 23, 31, 32, 34, 35, 37, 47, 48, 49, 53, 55, 57, 62, 63, 64, 67, 68, 73, 74, 75, 78, 80, 81, 82, 83, 84, 85, 87, 88, 90, 91, 94, 95, 98, 101, 105, 113, 114, 117, 119, 121, 122, 123, 125, 129, 132, 134, 135, 137, 140, 141, 142, 143, 144, 145, 147, 148, 150, 152, 154], "otherwis": [1, 3, 4, 63, 68, 80, 81, 83, 98, 102, 105, 112, 115, 130, 134, 147], "signal": [1, 22, 34], "fail": [1, 27, 59, 60, 74, 100, 102], "simple_match": 1, "j": [1, 3, 4, 10, 11, 12, 13, 100, 120, 122], "len": [1, 4, 5, 24, 25, 36, 60, 80, 93, 102, 111, 114, 115, 133, 140], "variabl": [1, 3, 4, 15, 19, 28, 29, 55, 57, 58, 59, 62, 74, 80, 81, 83, 93, 96, 102, 107, 120, 130, 137], "serv": [1, 36, 45, 59, 123], "indic": [1, 5, 6, 49, 57, 59, 60, 71, 80, 91, 100, 102, 119, 122, 146, 151], "respect": [1, 4, 11, 18, 19, 22, 28, 29, 31, 42, 55, 59, 80, 83, 89, 91, 98, 115, 119, 123, 128, 137, 143, 146, 150], "line_checkmatch": 1, "between": [1, 4, 5, 10, 11, 12, 15, 17, 19, 22, 23, 27, 29, 34, 36, 53, 55, 57, 62, 63, 64, 65, 66, 70, 72, 74, 80, 81, 83, 90, 98, 100, 101, 106, 111, 114, 115, 118, 125, 126, 132, 133, 136, 137, 141, 145, 150, 151], "increment": [1, 3, 5, 10, 114, 115, 118, 123, 126], "reset": 1, "line_patternreset": 1, "At": [1, 4, 5, 10, 19, 28, 29, 33, 34, 35, 52, 55, 60, 62, 70, 80, 83, 89, 93, 110, 111, 114, 120, 121, 123, 125, 126, 130, 136, 143, 145, 146, 150], "line_textend": 1, "line_patternend": 1, "length": [1, 4, 5, 10, 33, 36, 46, 53, 60, 69, 72, 80, 96, 109, 111, 114, 122, 123, 128], "m": [1, 4, 26, 65, 74, 81, 83, 98, 115, 132], "complex": [1, 8, 12, 14, 27, 28, 29, 79, 80, 81, 87, 88, 89, 91, 103, 105, 113, 115, 125, 128, 130, 154], "nm": 1, "mai": [1, 3, 4, 5, 10, 15, 19, 22, 23, 27, 28, 29, 34, 36, 55, 57, 59, 62, 63, 64, 68, 72, 75, 81, 83, 88, 90, 93, 94, 100, 102, 105, 106, 108, 109, 110, 111, 112, 115, 118, 119, 120, 122, 123, 124, 125, 126, 127, 128, 131, 133, 144, 145, 146, 150, 151], "against": [1, 4, 6, 10, 27, 29, 35, 58, 119, 121, 123, 125], "almost": [1, 21, 46, 57, 75, 110, 115], "bad": [1, 77, 133], "million": [1, 5, 10, 15, 53], "matcher": [1, 6], "willing": 1, "do": [1, 3, 4, 5, 6, 10, 11, 15, 19, 21, 23, 28, 29, 36, 45, 49, 51, 53, 57, 62, 63, 64, 66, 71, 74, 75, 76, 78, 80, 83, 85, 88, 90, 93, 94, 96, 98, 100, 102, 110, 111, 114, 115, 120, 124, 125, 126, 130, 132, 133, 137, 140, 143, 144, 145, 146, 148, 150, 151, 153], "preprocess": 1, "build": [1, 4, 8, 9, 17, 22, 23, 24, 25, 28, 36, 50, 51, 59, 60, 73, 80, 83, 89, 93, 101, 106, 115, 132, 133, 134, 137, 141, 143, 146, 154], "what": [1, 3, 4, 5, 6, 10, 11, 15, 17, 20, 22, 23, 25, 26, 27, 28, 29, 35, 36, 37, 44, 45, 46, 47, 49, 53, 54, 56, 57, 59, 60, 62, 63, 71, 74, 76, 78, 80, 81, 83, 91, 92, 94, 97, 98, 100, 101, 102, 106, 109, 110, 111, 113, 114, 115, 119, 123, 125, 127, 130, 134, 142, 143, 145, 146, 150, 154], "determinist": [1, 7], "automaton": [1, 7], "dfa": [1, 6, 7, 8], "vertex": [1, 5, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 66, 68, 69, 71, 72], "keep": [1, 3, 4, 5, 6, 10, 22, 28, 29, 33, 34, 36, 38, 48, 55, 57, 58, 59, 60, 64, 75, 100, 101, 110, 115, 130, 132, 133, 136, 137, 138, 140, 143, 146], "track": [1, 3, 5, 6, 19, 22, 36, 38, 55, 57, 58, 59, 60, 100, 101, 110, 130, 132, 137, 140, 143, 146], "amount": [1, 4, 5, 10, 15, 19, 36, 45, 56, 75, 90, 100, 101, 111, 115, 128], "far": [1, 27, 29, 41, 62, 74, 75, 83, 102, 111, 133], "edg": [1, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 68, 71, 72, 102, 139, 145, 151], "transit": 1, "last": [1, 3, 4, 10, 12, 22, 23, 24, 25, 27, 28, 29, 30, 31, 33, 34, 35, 37, 39, 42, 45, 46, 57, 62, 63, 64, 77, 78, 80, 83, 85, 100, 102, 115, 123, 125, 126, 133, 136, 146], "acata": 1, "clearli": [1, 3, 4, 26, 69, 72, 100, 110, 115, 150], "situat": [1, 21, 23, 28, 35, 36, 37, 46, 74, 77, 83, 130], "read": [1, 5, 6, 11, 15, 19, 23, 29, 33, 34, 55, 80, 93, 102, 106, 143, 150], "appropri": [1, 5, 11, 22, 25, 32, 34, 53, 59, 83, 109, 114, 123, 130, 137, 145], "By": [1, 4, 11, 15, 19, 29, 36, 65, 80, 83, 90, 91, 100, 102, 111, 115, 126, 130, 131, 136, 143, 146, 151, 154], "definit": [1, 4, 5, 11, 26, 66, 68, 73, 74, 75, 78, 83, 85, 88, 103, 109, 111, 122, 130, 132, 138, 140, 141, 146, 152, 154], "multipl": [1, 9, 29, 62, 63, 89, 101, 120, 133, 143, 154], "termin": [1, 77, 103, 115], "concentr": 1, "circl": [1, 35, 81, 102, 109, 136], "report": [1, 29, 77, 125], "run": [1, 5, 6, 10, 11, 12, 15, 19, 26, 27, 29, 33, 36, 50, 51, 54, 55, 56, 62, 65, 66, 75, 94, 96, 102, 110, 111, 114, 120, 121, 122, 123, 124, 125, 126, 128, 130], "somewher": [1, 11, 28, 29, 102, 126], "nonfin": 1, "did": [1, 3, 4, 5, 15, 19, 28, 29, 78, 85, 88, 98, 100, 119], "acgacacata": 1, "alwai": [1, 3, 4, 10, 12, 27, 28, 29, 46, 55, 64, 80, 83, 87, 101, 106, 108, 110, 111, 115, 119, 121, 123, 131, 133, 143, 144], "subsequ": [1, 3, 60, 75, 123, 130], "combin": [1, 4, 5, 23, 50, 51, 66, 74, 80, 81, 83, 100, 122, 150], "input": [1, 19, 29, 33, 35, 77, 78, 83, 85, 92, 154], "account": [1, 3, 4, 28, 76, 78, 100], "There": [1, 3, 4, 5, 15, 19, 21, 27, 29, 45, 49, 52, 55, 56, 60, 62, 64, 68, 70, 77, 83, 90, 96, 100, 101, 120, 122, 125, 128, 131, 141, 143, 146, 154], "produc": [1, 3, 4, 19, 29, 36, 56, 62, 66, 71, 78, 80, 83, 85, 89, 94, 126], "them": [1, 4, 5, 10, 15, 21, 22, 29, 31, 33, 35, 36, 43, 46, 53, 55, 59, 64, 71, 72, 76, 78, 80, 81, 83, 85, 90, 91, 93, 94, 100, 101, 102, 106, 107, 114, 115, 122, 123, 125, 128, 138, 141, 145, 146, 150, 151], "mostli": 1, "fact": [1, 3, 5, 10, 11, 12, 15, 19, 27, 28, 29, 49, 63, 66, 77, 88, 89, 93, 94, 96, 97, 100, 109, 115, 119, 124, 130, 131, 133, 146, 150, 151], "aris": [1, 19, 21, 28, 36, 88, 89, 90, 127], "emploi": 1, "streamlin": [1, 100], "test": [1, 3, 4, 10, 15, 26, 38, 39, 40, 41, 42, 57, 60, 74, 76, 78, 94, 100, 102, 114], "prove": [1, 3, 83, 88, 151], "wast": [1, 3, 5, 100, 115, 120, 146], "farther": [1, 106, 133], "ineffici": [1, 8, 100, 120], "rule": [1, 5, 29, 77, 94, 99, 101, 110, 130, 131, 143], "longer": [1, 3, 4, 12, 15, 19, 22, 26, 27, 28, 29, 36, 78, 85, 111], "shift": [1, 3, 5, 15, 88, 121, 126, 133], "third": [1, 4, 5, 10, 11, 31, 35, 66, 72, 75, 98, 110, 115, 121, 124, 136, 140, 146], "choic": [1, 5, 6, 10, 15, 26, 29, 83, 119], "three": [1, 3, 4, 5, 11, 29, 36, 55, 56, 59, 62, 64, 66, 80, 83, 94, 98, 99, 100, 101, 102, 105, 106, 110, 113, 114, 115, 116, 120, 121, 123, 124, 125, 126, 146, 150, 154], "too": [1, 28, 34, 36, 90, 100, 111, 114, 115, 128], "miss": [1, 36, 110], "content": [1, 3, 29, 38, 40, 41, 56, 115, 122, 123, 126, 136, 143], "previous": [1, 27, 55, 83], "prefix": [1, 23, 30, 32, 37, 47, 154], "suffix": 1, "valuabl": 1, "overlap": 1, "slid": 1, "observ": [1, 15, 24, 29, 34, 46, 51, 66], "kmp": [1, 6, 7, 8], "scientist": [1, 10, 11, 69, 71, 79, 88, 89, 90, 91, 100, 101], "who": [1, 35, 62, 64, 80, 88, 101, 102, 154], "represent": [1, 4, 5, 11, 22, 23, 25, 28, 36, 48, 49, 55, 59, 63, 68, 83, 89, 93, 98, 102, 133, 141, 144, 152, 154], "unlik": [1, 10, 146], "special": [1, 4, 10, 28, 37, 57, 63, 83, 96, 114, 115, 132, 146], "respons": [1, 122], "asterisk": 1, "taken": [1, 4, 15, 50, 63, 81], "f": [1, 4, 11, 12, 15, 23, 29, 36, 53, 57, 58, 60, 64, 74, 82, 83, 103, 110, 140], "y": [1, 4, 5, 11, 15, 26, 55, 62, 94, 102, 114], "ye": 1, "want": [1, 3, 4, 5, 15, 19, 27, 28, 29, 36, 45, 55, 64, 65, 71, 75, 80, 81, 83, 93, 94, 96, 98, 100, 101, 102, 106, 111, 115, 121, 128, 131, 143, 146, 150, 153, 154], "itself": [1, 5, 19, 28, 57, 80, 83, 88, 91, 96, 100, 103, 106, 108, 109, 111, 112, 114, 140, 141, 146, 150], "lst_mismatchedlink": 1, "tell": [1, 3, 4, 11, 17, 19, 28, 81, 83, 100, 101, 110], "mismatched_link": [1, 6], "aug_pattern": 1, "k": [1, 4, 10, 11, 13, 15, 56, 59, 62, 75, 80, 119, 122, 126, 134], "rang": [1, 3, 4, 5, 10, 11, 12, 13, 15, 19, 36, 52, 58, 74, 75, 77, 80, 100, 101, 102, 111, 115, 132], "": [1, 3, 4, 5, 10, 11, 15, 29, 32, 35, 41, 51, 53, 56, 57, 59, 66, 67, 70, 71, 72, 73, 74, 75, 81, 83, 88, 89, 91, 96, 98, 100, 101, 102, 106, 109, 110, 111, 115, 123, 130, 131, 133, 136, 140, 141, 143, 145, 146, 147, 149, 150, 154], "valu": [1, 3, 4, 5, 6, 9, 10, 11, 15, 19, 22, 23, 27, 28, 29, 31, 34, 35, 36, 38, 39, 40, 41, 42, 48, 49, 53, 55, 58, 59, 60, 64, 72, 74, 75, 77, 78, 80, 81, 83, 85, 93, 100, 101, 102, 103, 107, 111, 114, 115, 116, 119, 120, 121, 123, 124, 125, 128, 130, 134, 135, 140, 141, 143, 144, 146, 147, 150, 151], "dictionari": [1, 2, 7, 8, 9, 13, 16, 17, 20, 21, 29, 48, 53, 58, 81, 82, 87, 103, 115, 143, 146, 147, 154], "kei": [1, 2, 3, 4, 5, 6, 9, 12, 20, 47, 48, 53, 55, 58, 59, 62, 72, 73, 75, 80, 81, 88, 92, 96, 100, 103, 108, 110, 113, 115, 119, 125, 126, 129, 130, 131, 133, 134, 135, 137, 138, 141, 143, 144, 145, 146, 147, 149, 150, 151, 152, 154], "pair": [1, 4, 9, 29, 34, 55, 56, 57, 65, 66, 80, 96, 115, 120, 135, 136, 146, 147, 151], "destin": [1, 28, 55, 110], "past": [1, 4, 29, 100, 133, 143, 149], "longest": [1, 45, 46], "augment": [1, 122, 130], "placehold": [1, 81], "line_initdict": 1, "automat": [1, 3, 114, 132], "larger": [1, 3, 5, 11, 12, 27, 36, 55, 56, 62, 66, 101, 110, 121, 122, 128, 131], "11": [1, 12, 15, 22, 27, 28, 29, 34, 36, 57, 60, 64, 65, 74, 83, 100, 102, 110, 115, 119, 122, 123, 124, 125, 137, 146, 150], "proper": [1, 23, 28, 29, 45, 81, 83, 98, 115, 120, 124, 133, 145], "revert": 1, "correct": [1, 5, 12, 22, 29, 75, 83, 88, 94, 100, 119, 120, 124, 128, 130, 140, 146], "easier": [1, 3, 57, 75, 80, 93, 102, 103, 109, 146], "storag": [1, 5, 10, 37, 115, 120, 123, 138, 140], "expand": [2, 59, 60, 102], "rsa": [2, 7, 9, 154], "public": [2, 4, 5, 7, 93], "encrypt": [2, 4, 6, 7], "recurs": [2, 5, 9, 54, 56, 57, 60, 96, 98, 99, 100, 101, 102, 103, 104, 105, 106, 108, 110, 114, 119, 122, 123, 130, 136, 137, 140, 141, 142, 143, 146, 150, 151, 154], "mathemat": [2, 3, 4, 80, 98, 111, 131, 133, 137, 143], "skip": [2, 6, 7, 8, 9, 80, 115, 154], "altern": [2, 4, 19, 23, 74, 81, 88, 108, 114, 115], "octre": [2, 6, 7, 8, 9, 154], "imag": [2, 6, 8, 9, 88, 154], "string": [2, 4, 7, 9, 10, 21, 22, 23, 26, 28, 29, 33, 34, 58, 74, 75, 82, 83, 87, 89, 92, 93, 101, 103, 107, 113, 114, 115, 143, 154], "graph": [2, 6, 7, 8, 9, 11, 26, 48, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 69, 70, 71, 72, 100, 144, 154], "analysi": [3, 7, 9, 11, 14, 16, 18, 36, 47, 73, 90, 114, 122, 126, 129, 152, 154], "introduc": [3, 55, 81, 83], "limit": [3, 5, 60, 66, 114, 131, 137, 145, 150], "yet": [3, 29, 31, 60, 64, 83, 87, 89, 135, 143], "knowledg": [3, 62, 63, 88], "learn": [3, 22, 23, 55, 59, 63, 65, 77, 79, 86, 90, 102, 105, 106, 109, 132, 136, 144], "pattern": [3, 5, 6, 8, 9, 22, 32, 74, 83, 90, 114, 131, 150, 154], "principl": [3, 45, 46, 79], "behind": [3, 12, 27, 28, 65, 94, 121], "recogn": [3, 32, 34, 57, 83, 111, 120, 143], "real": [3, 4, 5, 23, 34, 35, 36, 37, 49, 53, 55, 69, 143], "program": [3, 4, 5, 6, 10, 11, 15, 16, 19, 21, 22, 23, 26, 29, 31, 34, 35, 36, 45, 56, 62, 66, 69, 74, 75, 77, 78, 79, 80, 81, 82, 84, 86, 90, 91, 92, 96, 97, 99, 101, 102, 103, 104, 105, 106, 110, 111, 112, 113, 120, 141, 153, 154], "languag": [3, 5, 12, 19, 21, 23, 26, 31, 34, 36, 74, 77, 79, 80, 83, 84, 86, 87, 89, 120], "demonstr": [3, 15, 71, 115, 130, 134, 136], "replac": [3, 10, 22, 28, 53, 75, 83, 115, 130, 131, 137, 143, 146, 147, 150], "arrai": [3, 5, 27, 72, 100], "common": [3, 5, 8, 9, 10, 15, 16, 19, 22, 24, 31, 45, 69, 74, 76, 78, 80, 83, 88, 89, 111, 115, 125, 127, 128, 136, 144, 150, 154], "java": [3, 5], "capabl": [3, 36, 44, 115, 120], "kind": [3, 11, 21, 23, 62, 63, 77, 128, 132, 141, 143, 146, 148, 150], "float": [3, 4, 5, 15, 80, 81, 83, 100, 143], "cannot": [3, 10, 31, 36, 62, 77, 79, 80, 88, 96, 103, 115, 120, 126], "mix": [3, 21, 71], "support": [3, 6, 65, 74, 80, 88, 115, 154], "think": [3, 5, 10, 15, 19, 21, 22, 29, 46, 62, 63, 75, 77, 79, 89, 93, 94, 96, 102, 106, 107, 110, 111, 114, 115, 126, 128, 130, 131, 133, 141, 144, 146], "block": [3, 17, 28, 56, 77, 83, 89, 102, 103], "byte": [3, 4, 5], "memori": [3, 5, 8, 19, 28, 79, 89, 90, 115, 120, 123, 154], "divid": [3, 4, 5, 22, 23, 77, 80, 83, 98, 102, 106, 115, 119, 122, 123, 133, 150], "chunk": [3, 4], "illustr": [3, 4, 5, 17, 48, 49, 52, 56, 57, 64, 65, 69, 71, 72, 80, 81, 98, 100, 106, 107, 111, 122, 126, 130, 131, 133, 136, 140, 143, 146, 150, 151], "six": [3, 5, 22, 35, 36, 58, 72, 94, 100, 115, 121, 141, 146], "16": [3, 5, 22, 27, 28, 29, 57, 64, 74, 88, 96, 98, 100, 102, 115, 119, 122, 123, 126, 130, 146], "total": [3, 5, 6, 10, 15, 36, 54, 55, 65, 96, 100, 101, 120, 122, 126, 128, 131, 133, 145], "96": [3, 23, 36, 80], "object": [3, 4, 9, 15, 20, 26, 28, 36, 44, 45, 46, 47, 48, 55, 58, 69, 73, 74, 80, 81, 82, 86, 87, 92, 93, 100, 102, 110, 113, 129, 138, 141, 143, 146, 152, 154], "__main__": [3, 12, 15, 83], "foo": [3, 19], "0x5eca30": 3, "becaus": [3, 4, 5, 11, 15, 17, 19, 23, 29, 36, 51, 55, 62, 64, 65, 80, 81, 83, 98, 100, 102, 106, 109, 111, 120, 131, 133, 140, 143, 144, 145, 146, 150], "calcul": [3, 4, 5, 6, 19, 23, 88, 100, 109, 113, 119, 137, 145, 154], "item_address": 3, "base_address": 3, "size_of_object": 3, "suppos": [3, 4, 11, 25, 36, 53, 75, 94, 96, 98, 100, 101, 102, 107, 109, 110, 115, 119, 120, 121, 124, 125, 146, 150], "0x000040": 3, "64": [3, 4, 5, 60, 65, 74, 110, 115], "decim": [3, 4, 5, 47, 81, 98, 154], "arithmet": [3, 9, 21, 29, 34, 78, 80, 81, 83, 85, 89, 143, 154], "cdot": [3, 4, 10, 53, 143], "cours": [3, 5, 15, 19, 22, 31, 51, 62, 63, 66, 80, 123, 133], "risk": 3, "fix": [3, 83, 93, 146], "just": [3, 4, 5, 11, 15, 27, 28, 53, 55, 58, 62, 64, 65, 71, 75, 88, 93, 94, 96, 98, 100, 102, 106, 111, 119, 120, 130, 132, 140, 141, 143, 145, 146, 150], "thing": [3, 4, 5, 12, 15, 19, 24, 29, 35, 38, 51, 57, 59, 62, 63, 64, 71, 83, 88, 93, 100, 102, 106, 110, 115, 130, 136, 141, 143], "indefinit": [3, 106], "seriou": 3, "consequ": 3, "though": [3, 10, 15, 26, 44, 74, 80, 90, 94, 100, 107, 110, 115, 119, 127, 140], "element": [3, 5, 12, 15, 24, 25, 26, 43, 45, 74, 80, 81, 96, 100, 103, 115, 120, 123, 125, 128, 136, 140], "runtim": [3, 77, 103], "error": [3, 5, 15, 23, 28, 29, 39, 42, 77, 80, 83, 94, 103, 143, 146], "imagin": [3, 5, 46, 59], "hard": [3, 11, 62, 79, 102, 133], "linux": 3, "system": [3, 15, 19, 22, 45, 63, 88, 105, 136, 151], "boundari": [3, 5], "rather": [3, 4, 5, 11, 12, 15, 28, 35, 36, 48, 57, 65, 100, 103, 111, 137], "uninform": 3, "messag": [3, 4, 55, 64, 65, 67, 74, 77, 80], "segment": 3, "violat": [3, 133], "pointer": [3, 130], "alloc": [3, 5, 107], "space": [3, 5, 10, 19, 23, 29, 48, 75, 80, 81, 98, 102, 118, 119, 122, 137], "fill": [3, 5, 49, 53, 56, 81, 100, 101, 106, 115, 133, 146], "bigger": [3, 11, 12], "old": [3, 5, 28, 81, 98, 100, 115, 130, 137, 140, 146, 147], "copi": [3, 12, 23, 64, 74, 101], "implic": [3, 55], "pretti": [3, 102, 111], "amaz": [3, 59], "let": [3, 4, 5, 15, 29, 35, 50, 51, 53, 55, 59, 60, 62, 64, 66, 70, 71, 80, 81, 93, 94, 96, 98, 100, 102, 106, 109, 110, 111, 115, 123, 130, 131, 136, 140, 141, 143, 145, 147, 149, 150], "dive": 3, "anyth": [3, 4, 11, 28, 59, 71, 75, 80, 83], "itema": 3, "specif": [3, 5, 19, 21, 27, 28, 31, 60, 72, 80, 81, 83, 128, 136], "append": [3, 4, 5, 15, 22, 23, 24, 26, 28, 29, 36, 42, 52, 60, 62, 74, 80, 133], "averag": [3, 5, 11, 12, 14, 19, 23, 27, 36, 62, 114, 115, 120, 125], "delet": [3, 6, 12, 50, 55, 64, 80, 101, 114, 115, 130, 133, 134, 137, 145, 146, 147], "item": [3, 6, 12, 13, 15, 22, 23, 24, 25, 26, 27, 28, 31, 33, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 74, 77, 80, 81, 83, 89, 93, 100, 101, 114, 115, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 133, 134, 135, 136, 137, 144], "arbitrari": [3, 4, 6, 19, 57, 80, 115], "outlin": [3, 5, 70, 98, 106, 110, 143, 146], "__resiz": 3, "arraylist": [3, 6], "instanc": [3, 5, 11, 19, 28, 36, 55, 57, 58, 59, 68, 80, 83, 88, 89, 93, 100, 102, 138, 141, 146], "max_siz": 3, "last_index": 3, "lst_arraylistinit": 3, "zero": [3, 4, 5, 36, 74, 77, 80, 81, 100, 102, 109, 111, 130, 132, 151], "my_arrai": 3, "size_expon": 3, "shortli": [3, 5, 146], "val": [3, 102, 115, 138, 147], "lst_arr_siz": 3, "new_siz": 3, "print": [3, 4, 5, 12, 15, 19, 45, 47, 58, 59, 74, 75, 77, 81, 83, 86, 93, 100, 101, 110, 115, 122, 146, 150, 154], "new_arrai": 3, "lst_arr_cop1": 3, "condit": [3, 4, 5, 27, 28, 60, 74, 98, 100, 102, 103, 109, 122, 131, 146], "doubl": [3, 36, 44, 80, 145], "underscor": [3, 53, 80, 83, 133], "convent": 3, "resiz": [3, 114], "privat": [3, 4, 5, 146], "ad": [3, 5, 9, 10, 19, 24, 26, 27, 28, 29, 38, 40, 41, 43, 44, 45, 46, 50, 51, 57, 58, 59, 64, 71, 74, 80, 83, 96, 100, 101, 115, 130, 133, 140, 145], "_expon": 3, "multipli": [3, 4, 15, 29, 62, 71, 83], "power": [3, 4, 5, 25, 26, 31, 36, 43, 66, 69, 74, 80, 83, 86, 87, 146], "125": 3, "plu": [3, 5, 11, 75, 98, 100, 115, 137], "design": [3, 4, 5, 15, 23, 35, 36, 37, 64, 78, 83, 85, 88, 90, 109, 115, 143, 151], "good": [3, 4, 5, 10, 11, 15, 19, 23, 28, 36, 49, 59, 63, 80, 90, 93, 98, 100, 101, 102, 109, 111, 121, 133, 138], "tradeoff": [3, 15], "vari": [3, 4, 36], "cpu": 3, "speed": [3, 36, 62, 79, 102, 114], "24": [3, 57, 62, 65, 81, 96], "32": [3, 4, 66], "40": [3, 4, 111, 122, 146], "52": [3, 100], "76": [3, 98, 137], "ldot": 3, "bit": [3, 4, 5, 6, 29, 38, 78, 85, 93, 100, 111, 130, 133, 140, 141, 146], "updat": [3, 5, 55, 64, 102, 130, 137, 146], "referenc": 3, "explicitli": [3, 5, 26, 28, 29, 60, 75, 77, 81, 83, 107, 110, 146], "reus": [3, 83], "clean": [3, 34, 46, 111, 137], "garbag": 3, "cost": [3, 10, 17, 55, 56, 61, 64, 65, 72, 81, 101, 119, 122, 130, 133], "c_i": 3, "expens": [3, 108, 119], "_index": 3, "summar": [3, 12, 81, 125, 149], "i_": 3, "th": [3, 13, 120, 124, 125, 131], "rel": [3, 4, 5, 27, 28, 29, 31, 37, 39, 42, 43, 63, 97, 125], "infrequ": 3, "spread": 3, "amort": [3, 7], "fifth": [3, 83, 100, 121], "But": [3, 4, 5, 15, 19, 22, 28, 49, 62, 98, 102, 109, 110, 130, 143, 145], "room": [3, 102, 121, 133], "low": [3, 36, 88, 89, 125, 133], "align": [3, 4, 81], "cost_": 3, "sum_": [3, 10, 19], "log_2": [3, 130, 145, 149], "2n": [3, 10, 11], "3n": [3, 11], "summat": [3, 11, 19], "equat": [3, 4, 19, 29, 75, 96, 101, 130, 131, 137], "obviou": [3, 5, 15, 19, 29], "sum": [3, 10, 11, 19, 36, 64, 72, 80, 83, 107, 109, 113, 115, 120, 121, 154], "goe": [3, 4, 36, 80, 83, 143, 146], "term": [3, 4, 5, 10, 11, 20, 29, 47, 72, 73, 78, 83, 85, 89, 92, 94, 96, 100, 103, 106, 113, 129, 130, 131, 152, 154], "advanc": [3, 79, 154], "lst_arrindex": 3, "express": [3, 4, 11, 21, 22, 23, 28, 32, 34, 37, 47, 56, 62, 77, 81, 83, 94, 96, 103, 107, 108, 109, 137, 143, 146, 148, 150, 154], "hide": [3, 5, 75, 82, 87, 91], "difficult": [3, 63, 71, 88, 97, 105, 111, 112, 115, 130, 146], "reli": [3, 106, 133, 146], "confirm": [3, 12], "sourc": [3, 15, 83, 136], "file": [3, 5, 6, 15, 77, 80, 83, 102, 136, 146, 151, 153], "listobject": 3, "__getitem__": [3, 6, 102, 115, 146], "idx": [3, 5, 102], "rais": [3, 4, 19, 28, 39, 42, 77, 78, 83, 85, 103, 143, 146], "lookuperror": 3, "__setitem__": [3, 6, 115, 146], "ahead": [3, 4, 10, 28, 45], "27": [3, 36, 66, 71, 115, 122], "correctli": [3, 21, 23, 28, 29, 34, 55, 88, 98, 110, 119], "realiz": [3, 100], "overwrit": [3, 5], "toward": [3, 5, 45, 55, 98, 102, 106, 108, 109, 110, 123, 130, 133, 143], "lst_arrlistin": 3, "lst_arrlistins_rang": 3, "ensur": [3, 29, 62, 64, 115, 122, 130, 131, 133], "unus": [3, 5, 115], "lost": [3, 5, 28, 91], "forev": 3, "someth": [3, 4, 10, 27, 29, 67, 77, 81, 94, 103, 111, 120, 125, 126, 140, 146, 150], "half": [3, 27, 36, 62, 78, 85, 111, 119, 120, 122, 123, 125, 130, 145], "basicd": 3, "remind": [3, 98], "yourself": [3, 5, 36, 55, 62, 64, 65, 83, 106, 130, 140, 146], "neither": [3, 56, 59, 101], "wrong": [3, 77, 98, 123], "guarante": [3, 29, 100, 115, 122, 123, 130, 133, 146], "wors": [3, 114], "applic": [3, 8, 35, 55, 71, 83, 88, 151], "write": [3, 4, 5, 6, 10, 11, 12, 13, 19, 23, 26, 29, 34, 36, 37, 51, 56, 66, 75, 77, 78, 79, 80, 81, 83, 85, 88, 94, 95, 98, 101, 102, 109, 112, 127, 130, 133, 137, 140, 141, 143, 146, 148, 150, 153], "intend": [3, 22, 23, 75, 88, 89], "Will": [3, 111], "sever": [3, 5, 53, 59, 66, 68, 72, 94, 100, 108, 128, 136, 146, 149, 151], "del": [3, 13, 15, 80, 114, 115, 145, 146, 147, 149], "enhanc": 3, "count": [3, 5, 6, 20, 23, 28, 35, 54, 62, 80, 125, 153, 154], "sy": [3, 5, 55, 64], "getsizeof": 3, "1415": 3, "189": 3, "87": 3, "104": [3, 4], "numer": [4, 78, 80, 83, 85, 89, 115, 143], "todai": [4, 81, 88], "cryptographi": 4, "bank": [4, 23, 56, 76, 78, 101], "sign": 4, "secur": [4, 115], "websit": [4, 12, 66], "purchas": [4, 100], "sens": [4, 5, 11, 26, 28, 29, 44, 74, 83, 89, 114, 125], "concern": [4, 10, 19, 36, 65, 79, 91, 127], "decrypt": 4, "peopl": [4, 5, 15, 56, 76, 78, 83, 88, 101, 111], "everydai": [4, 46], "cryptograph": 4, "practic": [4, 5, 55, 79, 115], "faster": [4, 10, 12, 15, 36, 79, 90, 124], "modulo": [4, 22, 80, 115], "b": [4, 5, 10, 11, 22, 23, 29, 57, 60, 64, 66, 74, 83, 120, 130, 140, 141], "earliest": 4, "uryybjbeyq": 4, "guess": [4, 75, 100, 102, 145], "lst_enc": [4, 6], "abcdefghijklmnopqrstuvwxyz": 4, "13": [4, 5, 21, 22, 28, 34, 36, 56, 57, 62, 64, 65, 83, 102, 115, 120, 122, 123, 125, 130, 143, 146], "caesar": [4, 6], "cipher": [4, 6], "rot13": 4, "descript": [4, 80, 81, 83, 89, 91, 102, 110], "letter": [4, 53, 70, 74, 75, 80, 101, 102], "ordin": [4, 115], "around": [4, 27, 60, 62, 91, 96, 101, 111, 130, 137, 145, 150], "wraparound": 4, "accomplish": [4, 10, 28, 35, 70, 80, 150], "symmetr": [4, 60, 111, 130, 141, 146], "symmetri": 4, "pass": [4, 15, 23, 35, 52, 58, 64, 75, 78, 80, 83, 85, 102, 114, 119, 121, 122, 124, 126, 143, 146], "uryybjbeyg": 4, "helloworld": 4, "rotat": [4, 130, 137, 139], "asymmetri": 4, "separ": [4, 81, 88, 91], "subtract": [4, 15, 29, 36, 83, 89, 98, 100, 101, 106, 111, 130, 133, 143], "job": [4, 5, 15, 65, 83, 98, 100], "lst_dec_kei": 4, "modifi": [4, 5, 6, 22, 23, 27, 28, 29, 36, 38, 39, 40, 41, 42, 56, 74, 75, 78, 80, 81, 85, 100, 101, 102, 103, 107, 109, 111, 114, 115, 120, 127, 137, 141, 150], "accept": [4, 6, 22, 75, 83, 101], "specifi": [4, 6, 15, 28, 74, 80, 81, 91, 93, 100, 106, 110, 136], "everyon": [4, 56, 64, 101], "except": [4, 5, 53, 57, 65, 78, 80, 82, 83, 85, 92, 103, 130, 133, 143, 150, 151, 154], "person": [4, 35], "send": [4, 36, 56, 64, 65, 80, 88], "anyon": [4, 64], "steal": 4, "secret": 4, "remaind": [4, 17, 22, 23, 27, 66, 80, 83, 98, 109, 141], "congruent": 4, "shorthand": 4, "equiv": 4, "pmod": 4, "foral": 4, "ac": 4, "bc": [4, 5], 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Search": [[57, "general-depth-first-search"]], "Implementation": [[58, "implementation"], [138, "implementation"]], "Implementing Breadth-First Search": [[59, "implementing-breadth-first-search"]], "Implementing Knight\u2019s Tour": [[60, "implementing-knights-tour"]], "Knight\u2019s Tour Analysis": [[62, "knights-tour-analysis"]], "Prim\u2019s Spanning Tree Algorithm": [[64, "prims-spanning-tree-algorithm"]], "Shortest Path Problems": [[65, "shortest-path-problems"]], "Strongly Connected Components": [[66, "strongly-connected-components"]], "The Graph Abstract Data Type": [[68, "the-graph-abstract-data-type"]], "The Knight\u2019s Tour Problem": [[69, "the-knights-tour-problem"]], "The Word Ladder Problem": [[70, "the-word-ladder-problem"]], "Topological Sorting": [[71, "topological-sorting"]], "Vocabulary and Definitions": [[72, "vocabulary-and-definitions"], [151, "vocabulary-and-definitions"]], "Graphs and Graphing Algorithms": [[73, "graphs-and-graphing-algorithms"], [73, null]], "Control Structures": [[74, "control-structures"]], "Defining Functions": [[75, "defining-functions"]], "Self Check Challenge": [[75, null]], "Discussion Questions": [[76, "discussion-questions"], [99, "discussion-questions"]], "Exception Handling": [[77, "exception-handling"]], "Getting Started": [[79, "getting-started"]], "Getting Started with Data": [[80, "getting-started-with-data"]], "Built-in Atomic Data Types": [[80, "built-in-atomic-data-types"]], "Table 1: Relational and Logical Operators": [[80, "id1"]], "Built-in Collection Data Types": [[80, "built-in-collection-data-types"]], "Table 2: Operations on Any Sequence in Python": [[80, "id4"]], "Table 3: Methods Provided by Lists in Python": [[80, "id5"]], "Table 4: Methods Provided by Strings in Python": [[80, "id6"]], "Table 5: Operations on a Set in Python": [[80, "id7"]], "Table 6: Methods Provided by Sets in Python": [[80, "id8"]], "Table 7: Operators Provided by Dictionaries in Python": [[80, "id9"]], "Table 8: Methods Provided by Dictionaries in Python": [[80, "id10"]], "Input and Output": [[81, "input-and-output"]], "String Formatting": [[81, "string-formatting"]], "Table 9: String Formatting Conversion Characters": [[81, "id1"]], "Table 10: Additional formatting options": [[81, "id2"]], "Table 11: f-string Formatting Options": [[81, "id3"]], "Object-Oriented Programming in Python: Defining Classes": [[83, "object-oriented-programming-in-python-defining-classes"]], "A Fraction Class": [[83, "a-fraction-class"]], "Self  Check": [[83, null]], "Inheritance: Logic Gates and Circuits": [[83, "inheritance-logic-gates-and-circuits"]], "Programming Exercises": [[85, "programming-exercises"]], "Review of Basic Python": [[86, "review-of-basic-python"]], "What Is Computer Science?": [[88, "what-is-computer-science"]], "What Is Programming?": [[89, "what-is-programming"]], "Why Study Algorithms?": [[90, "why-study-algorithms"]], "Why Study Data Structures and Abstract Data Types?": [[91, "why-study-data-structures-and-abstract-data-types"]], "Introduction": [[92, "introduction"]], "Writing a Proper Python Class": [[93, "writing-a-proper-python-class"]], "A Basic implementation of the MSDie class": [[93, "a-basic-implementation-of-the-msdie-class"]], "Making your Class Comparable": [[94, "making-your-class-comparable"]], "A Proper Class": [[95, "a-proper-class"]], "Calculating the Sum of a List of Numbers": [[96, "calculating-the-sum-of-a-list-of-numbers"]], "Complex Recursive Problems": [[97, "complex-recursive-problems"]], "Converting an Integer to a String in Any Base": [[98, "converting-an-integer-to-a-string-in-any-base"]], "Dynamic Programming": [[100, "dynamic-programming"]], "Exploring a Maze": [[102, "exploring-a-maze"]], "Glossary": [[103, "glossary"]], "Sierpinski Triangle": [[106, "sierpinski-triangle"]], "Stack Frames: Implementing Recursion": [[107, "stack-frames-implementing-recursion"]], "The Three Laws of Recursion": [[109, "the-three-laws-of-recursion"]], "Tower of Hanoi": [[110, "tower-of-hanoi"]], "Visualizing Recursion": [[111, "visualizing-recursion"]], "What Is Recursion?": [[112, "what-is-recursion"]], "Recursion": [[113, "recursion"], [113, null]], "Hashing": [[115, "hashing"]], "Table 4: Simple Hash Function Using Remainders": [[115, "id2"]], "Hash Functions": [[115, "hash-functions"]], "Table 5: Comparison of Remainder and Mid-Square Methods": [[115, "id4"]], "Collision Resolution": [[115, "collision-resolution"]], "Implementing the Map Abstract Data Type": [[115, "implementing-the-map-abstract-data-type"]], "Analysis of Hashing": [[115, "analysis-of-hashing"]], "The Binary Search": [[119, "the-binary-search"]], "Analysis of Binary Search": [[119, "analysis-of-binary-search"]], "Table 3: Tabular Analysis for a Binary Search": [[119, "id2"]], "The Bubble Sort": [[120, "the-bubble-sort"]], "Table 1: Comparisons for Each Pass of Bubble Sort": [[120, "id3"]], "The Insertion Sort": [[121, "the-insertion-sort"]], "The Merge Sort": [[122, "the-merge-sort"]], "The Quicksort": [[123, "the-quicksort"]], "The Selection Sort": [[124, "the-selection-sort"]], "The Sequential Search": [[125, "the-sequential-search"]], "Analysis of Sequential Search": [[125, "analysis-of-sequential-search"]], "Table 1: Comparisons Used in a Sequential Search of an Unordered List": [[125, "id2"]], "Table 2: Comparisons Used in Sequential Search of an Ordered List": [[125, "id4"]], "The Shell Sort": [[126, "the-shell-sort"]], "Searching": [[127, "searching"]], "Sorting": [[128, "sorting"]], "Searching and Sorting": [[129, "searching-and-sorting"], [129, null]], "AVL Tree Implementation": [[130, "avl-tree-implementation"]], "AVL Tree Performance": [[131, "avl-tree-performance"]], "Balanced Binary Search Trees": [[132, "balanced-binary-search-trees"]], "Binary Heap Implementation": [[133, "binary-heap-implementation"]], "The Structure Property": [[133, "the-structure-property"]], "The Heap Order Property": [[133, "the-heap-order-property"]], "Heap Operations": [[133, "heap-operations"]], "Binary Heap Operations": [[134, "binary-heap-operations"]], "Binary Search Trees": [[135, "binary-search-trees"]], "Examples of Trees": [[136, "examples-of-trees"]], "List of Lists Representation": [[140, "list-of-lists-representation"]], "Nodes and References": [[141, "nodes-and-references"]], "Parse Tree": [[143, "parse-tree"]], "Priority Queues with Binary Heaps": [[144, "priority-queues-with-binary-heaps"]], "Search Tree Analysis": [[145, "search-tree-analysis"]], "Search Tree Implementation": [[146, "search-tree-implementation"]], "Search Tree Operations": [[147, "search-tree-operations"]], "Summary of Map ADT Implementations": [[149, "summary-of-map-adt-implementations"]], "Table 1: Comparing the Performance of Different Map Implementations": [[149, "id1"]], "Tree Traversals": [[150, "tree-traversals"]], "Trees and Tree Algorithms": [[152, "trees-and-tree-algorithms"], [152, null]], "Class Assignments": [[153, "class-assignments"]], "Problem Solving with Algorithms and Data Structures using Python": [[154, "problem-solving-with-algorithms-and-data-structures-using-python"]], "Acknowledgements": [[154, "acknowledgements"]], "Indices and tables": [[154, "indices-and-tables"]]}, "indexentries": {"base case": [[103, "term-base-case"]], "data structure": [[103, "term-data-structure"]], "exception": [[103, "term-exception"]], "handle an exception": [[103, "term-handle-an-exception"]], "immutable data type": [[103, "term-immutable-data-type"]], "infinite recursion": [[103, "term-infinite-recursion"]], "mutable data type": [[103, "term-mutable-data-type"]], "raise": [[103, "term-raise"]], "recursion": [[103, "term-recursion"]], "recursive call": [[103, "term-recursive-call"]], "recursive definition": [[103, "term-recursive-definition"]], "tuple": [[103, "term-tuple"], [105, "index-0"]], "tuple assignment": [[103, "term-tuple-assignment"]], "koch": [[105, "index-1"]], "koch fractal": [[105, "index-1"]], "fractal": [[105, "index-1"]], "immutable": [[105, "index-0"]], "mutable": [[105, "index-0"]]}})