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主要内容 2.1Java语言的特点 2.1.1简单的面向对象程序设计语言 2.1.2健壮安全的分布式语言 2.1.3结构中立、可移植性强的解释型语言 2.1.4高效能 2.1.5支持多线程的动态语言 2.1.6Java与几种常用语言的比较 2.2Java执行环境 2.2.1VM机制Java平台的基础 2.2.2自动垃圾收集 2.2.3保护域机制与沙箱模型 2.2.4类加载器一一启动引擎的点火器 2.3JDK的组成与安装设置 2.3.1Java平台的组成结构 2.3.2 SET PATHSET和 CLASSPATH的作用 2.4典型例子及常见问题 2.4.1编译器、解释器、小程序观察器和反编译器 2.4.2最简单的例子 2.4.3应用程序的主方法 2.4.4小程序的运行
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Welcome to Introduction to Algorithms, Fall 2001 Handouts 1. Course Information 2. Calendar 3. Registration (MIT students only) 4. References 5. Objectives and Outcomes 6. Diagnostic Survey
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The divide-and-conquer design paradigm 1. Divide the problem(instance) into subproblems 2. Conquer the subproblems by solving them recursively 3. Combine subproblem solutions
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How fast can we sort? All the sorting algorithms we have seen so far are comparison sorts: only use comparisons to determine the relative order of elements E. g, insertion sort, merge sort, quicksort heapsort The best worst-case running time that weve seen for comparison sorting is O(nIgn) Is o(nlgn) the best we can do?
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Symbol-table problem Symbol table T holding n records
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Binary-search-tree sort 7∈ b Create an empty Bst for i=i to n do trEe-INSert(,AiD) Perform an inorder tree walk of t Example:
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ynamic order statistics OS-SELECT(i, S): returns the i th smallest element in the dynamic set S. OS-RANK(, S): returns the rank ofx E S in the sorted order of s s elements IDEA: Use a red-black tree for the set S, but keep subtree sizes in the nodes
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Fixed -universe successor problem Goal: maintain a dynamic subset s of size n of the universe 0=10, 1,.,u-1 of size u subject to these operations INSERT(X∈U\\S): Add x to s DELETE(X E S): Remove x from S
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Dynamic programming Design technique, like divide-and-conquer Example: Longest Common Subsequence (LCs) Given two sequences x[l.. m] and yll.n], find a longest subsequence common to them both a' not the
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Paths in graphs Consider a digraph g=(v, E)with edge-weight function w:E→>R. The weight of path p=v1→ →>…→> vi is defined to be (D)=∑(n,1)
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