Recursive Thinking Define the solution to a problem in terms of a - PowerPoint PPT Presentation

Sep 10, 2023 •249 likes •306 views

Senior Symposium, Friday Elicitation of Gestures for The Weil Zeta Function for Image Editing Curves Andreea Bancila Vy Nguyen 4:15, Cleveland L1 3:45, Cleveland L1 1 Recursive Thinking Define the solution to a problem in terms of a

Senior Symposium, Friday Elicitation of Gestures for The Weil Zeta Function for Image Editing Curves Andreea Bancila Vy Nguyen 4:15, Cleveland L1 3:45, Cleveland L1 1 Recursive Thinking Define the solution to a problem in terms of a solution to one or more “smaller” subproblems Define a base case, a subproblem that can be solved directly. 2 Towers of Hanoi End of the world in 585 billion years! http:/ / en.wikipedia.org/wiki/Tower_of_Hanoi 3 Thursday, April 18, 13
More Recursion Humor http:/ / www.thinkgeek.com/ images/products/zoom/ b2ae_recursion.jpg 4 Finding a Path in a Maze Start End 5 Recursion! What are the subproblems? Take 1 step, then search from that step to the end. What is the base case? Reached the end 6 Thursday, April 18, 13
Stacks & Start Backtracking Recursing findMazePath(0,4) findMazePath(0,3) findMazePath(0,2) End findMazePath(0,1) findMazePath(0,0) 7 Stacks & Start Backtracking Dead end - backtrack findMazePath(0,4) findMazePath(0,3) findMazePath(0,2) End findMazePath(0,1) findMazePath(0,0) 8 Stacks & Start Backtracking Recurse in a different direction findMazePath(1,3) findMazePath(0,3) findMazePath(0,2) End findMazePath(0,1) findMazePath(0,0) 9 Thursday, April 18, 13
Eight Queens Place 8 queens on a chessboard such that no queen can capture any other queen. ! ! L I A F 10 Success! 11 Sudoku 12 Thursday, April 18, 13

Download Presentation

Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend

1 Recursive Definitions Infinite Recursion The recursive part of the LIST definition is used

CSC 2014 Java Bootcamp Lecture 9 Recursion 2 Recursion Recursion is a fundamental programming technique that can provide an elegant solution certain kinds of problems RECURSIVE THINKING 3 4 Recursive Thinking Recursive Definitions

148 views • 4 slides

RECURSION Chapter 5 Recursive Thinking Section 5.1 1 11/2/2017 Recursive Thinking

11/2/2017 RECURSION Chapter 5 Recursive Thinking Section 5.1 1 11/2/2017 Recursive Thinking Recursion is a problem-solving approach that can be used to generate simple solutions to certain kinds of problems that are difficult to solve

530 views • 30 slides

Recursive Methods Noter ch.2 Recursive Methods Recursive problem solution Problems

Recursive Methods Noter ch.2 Recursive Methods Recursive problem solution Problems that are naturally solved by recursion Examples: Recursive function: Fibonacci numbers Recursive graphics: Fractals Mutual recursion:

796 views • 61 slides

Recursive Methods Recursive problem solution Problems that are naturally solved by

Recursive Methods Recursive problem solution Problems that are naturally solved by recursion Derivative of rational function Recursive Methods Examples: Recursive function: Fibonacci numbers Recursive graphics:

284 views • 5 slides

61A Lecture 6 Announcements Recursive Functions Recursive Functions 4 Recursive Functions

61A Lecture 6 Announcements Recursive Functions Recursive Functions 4 Recursive Functions Definition: A function is called recursive if the body of that function calls itself, either directly or indirectly 4 Recursive Functions Definition:

1.08k views • 88 slides

Recursion Announcements Recursive Functions Recursive Functions 4 Recursive Functions

Recursion Announcements Recursive Functions Recursive Functions 4 Recursive Functions Definition : A function is called recursive if the body of that function calls itself, either directly or indirectly 4 Recursive Functions Definition

1.11k views • 89 slides

Lesson 9 Recursive Types 2/19, 21 Chapters 20, 21 Recursive type Recursive type terms are

Lesson 9: Recursive Types Lesson 9 Recursive Types 2/19, 21 Chapters 20, 21 Recursive type Recursive type terms are infinite, but regular For finite terms, use induction based on least fixed points For infinite terms/trees, we

232 views • 7 slides

Review Recursion Factorial (Iterative and Recursive versions) Call Stack (Last-in,

Review Recursion Factorial (Iterative and Recursive versions) Call Stack (Last-in, first-out Queue) Tracing recursive functions Fibonacci Sequence Recursive Implementation Recursive Maze Generation One can declare an

921 views • 16 slides

Assessing the Stability of Forecasting Models: Recursive Parameter Estimation and Recursive

Assessing the Stability of Forecasting Models: Recursive Parameter Estimation and Recursive Residuals At each t, t = k, ... ,T-1, compute: Recursive parameter est. and forecast: Recursive residual: If all is well: Sequence of 1-step forecast

650 views • 39 slides

Recursion Announcements Recursive Functions Recursive Functions Definition : A function is

Recursion Announcements Recursive Functions Recursive Functions Definition : A function is called recursive if the body of that function calls itself, either directly or indirectly Implication : Executing the body of a recursive function may

320 views • 18 slides

Recursion: Thinking About It 7 January 2019 OSU CSE 1 Recursion A remarkably important

Recursion: Thinking About It 7 January 2019 OSU CSE 1 Recursion A remarkably important concept and programming technique in computer science is recursion A recursive method is simply one that calls itself There are two quite

599 views • 58 slides

OUTLINE CHAPTER 10 Recursive Hierarchies Table of contents Recursive Hierarchies and Bridges

OUTLINE CHAPTER 10 Recursive Hierarchies Table of contents Recursive Hierarchies and Bridges Reporting Challenge Flattening a Recursive Hierarchy The Hierarchy Bridge Double Counting Resolving Many to Many Dinesh Maharjan

401 views • 13 slides

Announcements Recursion Recursive Functions Definition : A function is called recursive if the

Announcements Recursion Recursive Functions Definition : A function is called recursive if the body of that function calls itself, either directly or indirectly Implication : Executing the body of a recursive function may require applying that

398 views • 3 slides

Non-Recursive In-Place FFT Algorithm Idea: "Unwind the in-place recursive algorithm and work

Non-Recursive In-Place FFT Algorithm Idea: "Unwind the in-place recursive algorithm and work bottom up from a bit-reversed input array in a "butterfly" pattern: - 1 - (non-recursive in-place FFT algorithm continued) Non-recursive

436 views • 5 slides

Recursive Analysis And Real Recursive Functions Emmanuel Hainry Joint work with Olivier Bournez

Recursive Analysis And Real Recursive Functions Emmanuel Hainry Joint work with Olivier Bournez LORIA/INPL, Nancy, France Feb. 13, 2006 1/29 Introduction Definitions Recursive functions Limit operator Conclusion 1. Introduction Context

399 views • 29 slides

Recursion 15-110 - Friday 2/21 Learning Objectives Define and recognize base cases and

Recursion 15-110 - Friday 2/21 Learning Objectives Define and recognize base cases and recursive cases in recursive code Read and write basic recursive code Trace over recursive functions that use multiple recursive calls with

940 views • 48 slides

Constraint Satisfaction Philipp Koehn 3 March 2020 Philipp Koehn Artificial Intelligence:

Constraint Satisfaction Philipp Koehn 3 March 2020 Philipp Koehn Artificial Intelligence: Constraint Satisfaction 3 March 2020 Outline 1 Constraint satisfaction problems (CSP) examples Backtracking search for CSPs Problem

730 views • 49 slides

Constraint Satisfaction Problems: Backtracking Search Alice Gao Lecture 6 Based on work by K.

1/17 Constraint Satisfaction Problems: Backtracking Search Alice Gao Lecture 6 Based on work by K. Leyton-Brown, K. Larson, and P. van Beek 2/17 Outline Learning Goals Backtracking Search Algorithm Revisiting the Learning goals 3/17

716 views • 17 slides

Solving Sudoku Puzzles Constraint propagation, Graph traversal, and Backtracking Constraint

Solving Sudoku Puzzles Constraint propagation, Graph traversal, and Backtracking Constraint Satisfaction Given some constraints, can I find a solution? e.g. Given the contents of my fridge, is there a nutritious dinner to be made?

790 views • 13 slides

1 Consistency of a Single Arc Arc Consistency of an Entire CSP A simple form of propagation

Improving Backtracking CSE 473: Artificial Intelligence General-purpose ideas give huge gains in speed Autumn 2018 Ordering: Constraint Satisfaction Problems - Part 2 Which variable should be assigned next? In what order should

94 views • 6 slides

CS200: Recursion and induction Prichard Ch. 6.1 & 6.3 CS200 - Recursion 1 CS200 -

CS200: Recursion and induction Prichard Ch. 6.1 & 6.3 CS200 - Recursion 1 CS200 - Recursion 2 Backtracking n Problem solving technique that involves moves: guesses at a solution. n Depth First Search: in case of failure retrace

272 views • 23 slides

r trts

r trts r r strt Prt r trts

611 views • 40 slides

Introduction to Gecode Marco Chiarandini Department of Mathematics & Computer Science

DM841 Discrete Optimization Part II Lecture 3 Introduction to Gecode Marco Chiarandini Department of Mathematics & Computer Science University of Southern Denmark Outline Solving CSP Overview 1. Solving CSP Overview 2 Outline

284 views • 27 slides

CSE 101 Algorithm Design and Analysis Sanjoy Dasgupta, Russell Impagliazzo, Ragesh Jaiswal (with

CSE 101 Algorithm Design and Analysis Sanjoy Dasgupta, Russell Impagliazzo, Ragesh Jaiswal (with help from Miles Jones) Lecture 25: Intro to Backtracking SEARCH AND OPTIMIZATION PROBLEMS Many problems involve finding the best solution from

605 views • 34 slides