Detecting a cycle L Detecting a cycle L

  • Slides: 48
Download presentation
Detecting a cycle L

Detecting a cycle L

Detecting a cycle L p

Detecting a cycle L p

Detecting a cycle L p stack

Detecting a cycle L p stack

Detecting a cycle L p stack

Detecting a cycle L p stack

Detecting a cycle L p

Detecting a cycle L p

Detecting a cycle p Cycle detected at p L

Detecting a cycle p Cycle detected at p L

Now restore the list using the saved pointers p L

Now restore the list using the saved pointers p L

Restoring. . . L p

Restoring. . . L p

Restoring. . . L p

Restoring. . . L p

Restoring. . . L p

Restoring. . . L p

Restoring. . . L p

Restoring. . . L p

Restored! L

Restored! L

How much time and space? L

How much time and space? L

How much time and space? p O(N) time L O(N) space for stack

How much time and space? p O(N) time L O(N) space for stack

Detecting a cycle with two-speed pointers L p q

Detecting a cycle with two-speed pointers L p q

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers p L q

Detecting a cycle with two-speed pointers p L q

Detecting a cycle with two-speed pointers p L q

Detecting a cycle with two-speed pointers p L q

Detecting a cycle with two-speed pointers L p q

Detecting a cycle with two-speed pointers L p q

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L q p

Detecting a cycle with two-speed pointers L Cycle detected p q

Detecting a cycle with two-speed pointers L Cycle detected p q

How much time and space? L

How much time and space? L

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example

Two-speed method: a larger example Cycle detected!

Two-speed method: a larger example Cycle detected!

How much time and space?

How much time and space?

How much time and space? O(N) time O(1) space

How much time and space? O(N) time O(1) space

Water Cycle Carbon Cycle Phosphorous Cycle Nitrogen CycleWater Cycle Carbon Cycle Phosphorous Cycle Nitrogen Cycle
Water Cycle Carbon Cycle Phosphorous Cycle Nitrogen CycleWater Cycle Carbon Cycle Phosphorous Cycle Nitrogen Cycle
Review Detecting Outliers Review Detecting Outliers Standard DeviationReview Detecting Outliers Review Detecting Outliers Standard Deviation
Detecting Attention Detecting Sleep By Matthew Parks WeDetecting Attention Detecting Sleep By Matthew Parks We
Detecting and Preventing Fraud in Nonprofits Detecting andDetecting and Preventing Fraud in Nonprofits Detecting and
Biogeochemical Cycles Carbon Cycle Nitrogen Cycle Phosphorus CycleBiogeochemical Cycles Carbon Cycle Nitrogen Cycle Phosphorus Cycle
Product life cycle JUNIOR CYCLE Product life cycleProduct life cycle JUNIOR CYCLE Product life cycle
Choisis ton niveau Cycle 1 Cycle 3 CycleChoisis ton niveau Cycle 1 Cycle 3 Cycle
The Water Cycle Earths Water Cycle A cycleThe Water Cycle Earths Water Cycle A cycle
VOCABULARY Carbon Cycle Water Cycle Nitrogen cycle NUTRIENTVOCABULARY Carbon Cycle Water Cycle Nitrogen cycle NUTRIENT
DIESEL CYCLE DIESEL CYCLE Diesel cycle is veryDIESEL CYCLE DIESEL CYCLE Diesel cycle is very
Triacylcaboxylic Acid Cycle Kerb Cycle TCA Cycle ByTriacylcaboxylic Acid Cycle Kerb Cycle TCA Cycle By
Cycle configuration Cycle Configuration Element cycle depends onCycle configuration Cycle Configuration Element cycle depends on
The Rock Cycle Rock Cycle The Rock CycleThe Rock Cycle Rock Cycle The Rock Cycle
VOCABULARY Carbon Cycle Respiration Nitrogen cycle Phosphorus cycleVOCABULARY Carbon Cycle Respiration Nitrogen cycle Phosphorus cycle
Carnot cycle 1 Carnot cycle 2 Carnot cycleCarnot cycle 1 Carnot cycle 2 Carnot cycle
Biogeochemical Pathways Water Cycle Carbon Cycle Nitrogen CycleBiogeochemical Pathways Water Cycle Carbon Cycle Nitrogen Cycle
Water and Carbon Cycle Nitrogen Cycle Phosphorus CycleWater and Carbon Cycle Nitrogen Cycle Phosphorus Cycle
Hydrologic Cycle the Water Cycle THE WATER CYCLEHydrologic Cycle the Water Cycle THE WATER CYCLE
Cycle 3 Cycle 6 e 3 Programme CycleCycle 3 Cycle 6 e 3 Programme Cycle
Cell Cycle I Cell Cycle The cell cycleCell Cycle I Cell Cycle The cell cycle
BUSINESS CYCLE AND STABILISATION BUSINESS CYCLE Business cycleBUSINESS CYCLE AND STABILISATION BUSINESS CYCLE Business cycle
Tricarboxylic acid cycle TCA Cycle Krebs cycle CitricTricarboxylic acid cycle TCA Cycle Krebs cycle Citric
Jeopardy Nutrient Cycle Carbon Cycle Phosphorus Cycle NitrogenJeopardy Nutrient Cycle Carbon Cycle Phosphorus Cycle Nitrogen