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29 mar 2019 · Presentation Transcript. Algorithm/Running Time Analysis. Running Time • Why do we need to analyze the running time of a program? • Option 1: Run the program and time it • Why is this option bad? • What can we do about it?
18 lip 2018 · This document analyzes the running time of an algorithm using pseudo code. It breaks down the algorithm into three nested loops: an inner while loop, a middle for loop, and an outer for loop. It calculates the running time of each loop level and derives that the overall running time of the algorithm is O (n^3).
20 gru 2019 · Algorithm/Running Time Analysis. Running Time • Why do we need to analyze the running time of a program? • Option 1: Run the program and time it • Why is this option bad? • What can we do about it?
Dijkstra’s Algorithm. Named for famous Dutch computer scientist Edsger Dijkstra (actually D ̈ykstra!) Idea! Relax edges from each vertex in increasing order of distance from source s. Idea! Efficiently find next vertex in the order using a data structure.
19 paź 2020 · An algorithm is a well-defined set of steps to solve a problem in a finite amount of time. The complexity of an algorithm measures the time and space required for inputs of different sizes. Time complexity indicates the running time, while space complexity measures storage usage.
1. Algorithm/Running Time Analysis. 2. Running Time. Why do we need to analyze the running time of a. program? Option 1 Run the program and time it. Why is this option bad? What can we do about it? 3. Pseudo-Code. Used to specify algorithms. Part English, part code. Algorithm (arrayMax (A, n)) curMax A0. for i1 iltn i. if curMax lt Ai. curMax Ai.
Running time • The running time depends on the input: an already sorted sequence is easier to sort. • Parameterize the running time by the size of the input, since short sequences are easier to sort than long ones. • Generally, we seek upper bounds on the running time, because everybody likes a guarantee.
