Algorithm efficiency basics (fast vs slow) in Intro to Computing - Comparative Flowcharts

Process Overview

This flowchart explains how to compare two algorithms by checking how fast or slow they run based on the number of steps they take for a given input size. It helps understand why some algorithms are better choices for big tasks.

Flowchart

Choose Algorithm A and Algorithm B

↓

Pick input size N

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Run Algorithm A with input N

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Count steps taken by A

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Run Algorithm B with input N

↓

Count steps taken by B

Yes No↓

Algorithm A is faster

This flowchart shows the step-by-step process to compare two algorithms by running them on the same input size, counting their steps, and deciding which one is faster.

Step-by-Step Trace - 8 Steps

Step 1: Choose Algorithm A (linear search) and Algorithm B (binary search).

Step 2: Pick input size N = 16 (list of 16 items).

Step 3: Run Algorithm A (linear search) on input N.

Step 4: Count steps taken by Algorithm A (worst case: 16 steps).

Step 5: Run Algorithm B (binary search) on input N.

Step 6: Count steps taken by Algorithm B (worst case: 4 steps).

Step 7: Compare steps: Is 16 < 4?

Step 8: No, Algorithm A is not faster; Algorithm B is faster.

Diagram

Item1

→Item2

↓

16 items

↩Divide list in half repeatedly:

This diagram shows how linear search checks each item one by one, taking 16 steps, while binary search cuts the list in half each step, taking only 4 steps for 16 items.

Flowchart Quiz - 3 Questions

What does the flowchart compare between two algorithms?

A The color of the code used in each algorithm

B The names of the programmers who wrote the algorithms

C The number of steps each algorithm takes for the same input size

D The size of the computer screen

Key Result

Comparing algorithms by counting steps for the same input size shows which one is faster and more efficient.