•

0 likes•3 views

Report

Share

We consider the following problem: Suppose that you are given a 0/1 string S of kind 1m0n, that is, it has m01 's at the beginning, followed by n00 's. Note that m and n are unknown to the algorithm, only k=m+n is known. Also note, that either m or n can be equal to zero, but not both. (a) [14 marks] Design a divide-and-conquer algorithm that finds the number of zeroes in S in time O(logk), where k=m+n. Assume that the input string S is given in an array S[1,,k]. Give a brief argument showing that your algorithm is correct. (b) [12 marks] Give an argument that your algorithm indeed has O(logk) running time, by formulating, explaining and solving an appropriate recurrence equation. Assume that each comparison or arithmetic operation takes constant time..

Download to read offline

Ad

Watch the videos below In these videos you will see the st.pdf

Watch the videos below In these videos you will see the st.pdf

Waste Disposal Systems has an aftertax cost of debt of 90 p.pdf

Waste Disposal Systems has an aftertax cost of debt of 90 p.pdf

Waste from the food ingested is eliminated via the colon and.pdf

Waste from the food ingested is eliminated via the colon and.pdf

Warning This game is purely for educational purposes and do.pdf

Warning This game is purely for educational purposes and do.pdf

WarmUp Check Your Understanding Fill in the blank with the.pdf

WarmUp Check Your Understanding Fill in the blank with the.pdf

Walmartn Amazon ve dier evrimii perakendecilerle rekabet .pdf

Walmartn Amazon ve dier evrimii perakendecilerle rekabet .pdf

Warren Buffett director ejecutivo del holding multinacional.pdf

Warren Buffett director ejecutivo del holding multinacional.pdf

Walt Disney espera recibir una tarifa teatral de Mex16 mill.pdf

Walt Disney espera recibir una tarifa teatral de Mex16 mill.pdf

WACC is 542 Firm Z has invested 4 million in marketing .pdf

WACC is 542 Firm Z has invested 4 million in marketing .pdf

Walmart en todo el mundo Escuela de Negocios de Harvard Pr.pdf

Walmart en todo el mundo Escuela de Negocios de Harvard Pr.pdf

Vulcan Flyovers offers scenic overfights of Mount Saint Hele.pdf

Vulcan Flyovers offers scenic overfights of Mount Saint Hele.pdf

W them and Interference NOTE The mutant versions of these.pdf

W them and Interference NOTE The mutant versions of these.pdf

Vulcan Flyovers offers scenic overflights of Mount Saint Hel.pdf

Vulcan Flyovers offers scenic overflights of Mount Saint Hel.pdf

VSIM JOSEPHINE MORROW La reflexin est destinada a reforza.pdf

VSIM JOSEPHINE MORROW La reflexin est destinada a reforza.pdf

Vincent Company supplies schools with floot matiresses to us.pdf

Vincent Company supplies schools with floot matiresses to us.pdf

vs H1pp0 for some known quantity p001 Based on Questi.pdf

vs H1pp0 for some known quantity p001 Based on Questi.pdf

Viviane performs a noncompartmental analysis She reports t.pdf

Viviane performs a noncompartmental analysis She reports t.pdf

viguifcanon levei for al parte Tent the claim trat the teo .pdf

viguifcanon levei for al parte Tent the claim trat the teo .pdf

Verdadero Falso 5_____ Las actividades de apoyo del sistem.pdf

Verdadero Falso 5_____ Las actividades de apoyo del sistem.pdf

Victory Company uses weighted average process costing The c.pdf

Victory Company uses weighted average process costing The c.pdf

2023 MAP Data Analysis - St. Louis Region

2023 MAP Data Analysis - St. Louis Region

Advance Mobile Application Development class 02-B

Advance Mobile Application Development class 02-B

Use integers to explore high and low places.pptx

Use integers to explore high and low places.pptx

“ Importance of seed, seed structure & function ”.pptx

“ Importance of seed, seed structure & function ”.pptx

Writing Agony Letter & If type O+1 & Diphthongs + Text “Arab Science”.pdf

Writing Agony Letter & If type O+1 & Diphthongs + Text “Arab Science”.pdf

Intuition behind Monte Carlo Markov Chains

Intuition behind Monte Carlo Markov Chains

Health Education - Meaning, Definition, Concept, Factors Influencing Health

Health Education - Meaning, Definition, Concept, Factors Influencing Health

Website Fixer-Upper Series to Boost your Online Presence

Website Fixer-Upper Series to Boost your Online Presence

UG - Water Disinfection.pptx

UG - Water Disinfection.pptx

Sudden Death of Beliefs

Sudden Death of Beliefs

2.15.24 The Birmingham Campaign and MLK.pptx

2.15.24 The Birmingham Campaign and MLK.pptx

Blue Persuasive Writing English Essay Worksheet (1).pdf

Blue Persuasive Writing English Essay Worksheet (1).pdf

Bayesian Analysis Fundamentals with Examples

Bayesian Analysis Fundamentals with Examples

Chromatography-Gas chromatography-Principle

Chromatography-Gas chromatography-Principle

mean stack mean stack mean stack mean stack

mean stack mean stack mean stack mean stack

General Principles of treatment of Poisoning

General Principles of treatment of Poisoning

Metabolism of Galactose & fructose .pptx

Metabolism of Galactose & fructose .pptx

Cardiovascular Pathophysiology- Hypertension

Cardiovascular Pathophysiology- Hypertension

CONCEPTS OF ENVIRONMENT & ECOSYSTEM.pptx

CONCEPTS OF ENVIRONMENT & ECOSYSTEM.pptx

Grantseeking Solo- Securing Awards with Limited Staff PDF.pdf

Grantseeking Solo- Securing Awards with Limited Staff PDF.pdf

- 1. We consider the following problem: Suppose that you are given a 0/1 string S of kind 1m0n, that is, it has m01 's at the beginning, followed by n00 's. Note that m and n are unknown to the algorithm, only k=m+n is known. Also note, that either m or n can be equal to zero, but not both. (a) [14 marks] Design a divide-and-conquer algorithm that finds the number of zeroes in S in time O(logk), where k=m+n. Assume that the input string S is given in an array S[1,,k]. Give a brief argument showing that your algorithm is correct. (b) [12 marks] Give an argument that your algorithm indeed has O(logk) running time, by formulating, explaining and solving an appropriate recurrence equation. Assume that each comparison or arithmetic operation takes constant time.