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Arpit Bhayani Blogs

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Arpit Bhayani Blogs
001 Ai Topological Sort

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TLDR: Solving the Knapsack Problem with Evolutionary Algorithms

Date: 2022-03-07 Source: https://arpitbhayani.me/blogs/genetic-knapsack

Overview

Solve the Knapsack problem with a Genetic Algorithm! This guide offers a polynomial-time approximation for this famous optimization challenge. The Knapsack problem is one of the most famous problems in computer science.

Key Points

  • The Knapsack problem is one of the most famous problems in computer science.
  • Optimal solution: The solution to the Knapsack problem uses Recursion with memoization to find the optimal solution.
  • Run-time Complexity: The above solution runs with a complexity of O(n.W) where n is the total number of items and W is the maximum weight the knapsack can carry.
  • The Genetic Process: The basic idea behind the Genetic Algorithm is to start with some candidate Individuals (solutions chosen at random) called Population.
  • An Individual in the Genetic Algorithm is a potential solution.
001-ai-topological-sort.md
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002 Temporal Primer
002-temporal-primer.md
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003 Rag Production
003-rag-production.md
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004 Structure Of Llm Chat
004-structure-of-llm-chat.md
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005 How Llms Work
005-how-llms-work.md
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006 Monolith Is Distributed System
006-monolith-is-distributed-system.md
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007 Defensive Databases
007-defensive-databases.md
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008 Bm25
008-bm25.md
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009 Join Algorithms
009-join-algorithms.md
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010 Venting At Work
010-venting-at-work.md
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011 Half Life
011-half-life.md
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012 Multi Paxos
012-multi-paxos.md
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013 Mysql Replication Internals
013-mysql-replication-internals.md
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014 Bloom Filters
014-bloom-filters.md
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015 Clock Sync Nightmare
015-clock-sync-nightmare.md
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016 Kafka Partitions
016-kafka-partitions.md
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017 Product Quantization
017-product-quantization.md
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018 Qkv Matrices
018-qkv-matrices.md
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019 Deleted Production
019-deleted-production.md
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020 How Llm Inference Works
020-how-llm-inference-works.md
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021 Blocking Queues
021-blocking-queues.md
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022 Heartbeats In Distributed Systems
022-heartbeats-in-distributed-systems.md
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023 Cassandra Writes
023-cassandra-writes.md
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024 Redis Replication
024-redis-replication.md
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025 Arrogant People At Work
025-arrogant-people-at-work.md
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026 Cdn Content Replication
026-cdn-content-replication.md
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027 Cant Fix Everything Day One
027-cant-fix-everything-day-one.md
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028 Emotions At Work
028-emotions-at-work.md
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029 Grpc Http2
029-grpc-http2.md
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030 Meetings With No Agenda Are A Waste Of Time
030-meetings-with-no-agenda-are-a-waste-of-time.md
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031 Growth Is Not About Doing Everything
031-growth-is-not-about-doing-everything.md
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032 Career Longevity Vs Job Hopping
032-career-longevity-vs-job-hopping.md
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033 Stay Relevant At Higher Salary Levels
033-stay-relevant-at-higher-salary-levels.md
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034 Why Consensus
034-why-consensus.md
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035 Database Deadlocks
035-database-deadlocks.md
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036 Cpu Cache Locality
036-cpu-cache-locality.md
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037 Eventual Consistency
037-eventual-consistency.md
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038 Dns Udp Tcp
038-dns-udp-tcp.md
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039 Masters
039-masters.md
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040 Empathy Makes Great Engineers Unstoppable
040-empathy-makes-great-engineers-unstoppable.md
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041 Good Mentors Build People
041-good-mentors-build-people.md
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042 Always Have Back Burner Projects
042-always-have-back-burner-projects.md
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043 Before You Push Back Know What Youre Standing On
043-before-you-push-back-know-what-youre-standing-on.md
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044 Be The One They Can Count On
044-be-the-one-they-can-count-on.md
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045 How Much People Bet On You
045-how-much-people-bet-on-you.md
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046 How To Get Leadership To Say Yes To Your Project
046-how-to-get-leadership-to-say-yes-to-your-project.md
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047 Dont Let Your Best Ideas Die In Silence
047-dont-let-your-best-ideas-die-in-silence.md
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048 Be Someone Others Want To Work With
048-be-someone-others-want-to-work-with.md
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049 Dont Fall For Xy Problem Ask Right Questions
049-dont-fall-for-xy-problem-ask-right-questions.md
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050 Biggest Lie Startups Tell Engineers
050-biggest-lie-startups-tell-engineers.md
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051 Promotions Are Proactive Not Reactive
051-promotions-are-proactive-not-reactive.md
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052 Not Enough To Be Right Learn To Be Heard
052-not-enough-to-be-right-learn-to-be-heard.md
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053 No One Ships Alone
053-no-one-ships-alone.md
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054 Not Every Mistake Needs A Correction
054-not-every-mistake-needs-a-correction.md
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055 Build Influence At Work
055-build-influence-at-work.md
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056 Your Soft Skills Arent Soft At All
056-your-soft-skills-arent-soft-at-all.md
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057 Experience Before Forming Opinion
057-experience-before-forming-opinion.md
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058 Curiosity And High Bias For Action
058-curiosity-and-high-bias-for-action.md
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059 Worklog
059-worklog.md
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060 Mistakes And Growth
060-mistakes-and-growth.md
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061 Own It Instead Of Sweeping It Aside
061-own-it-instead-of-sweeping-it-aside.md
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062 Dont Wait Step Up
062-dont-wait-step-up.md
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063 Temporary Fix Is Permanent
063-temporary-fix-is-permanent.md
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064 Interview Bias And What Sets You Apart
064-interview-bias-and-what-sets-you-apart.md
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065 Saying This Isnt My Problem Is A Problem
065-saying-this-isnt-my-problem-is-a-problem.md
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066 Okr
066-okr.md
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067 Miscommunication
067-miscommunication.md
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068 When In Doubt Code It Out
068-when-in-doubt-code-it-out.md
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069 Follow Up Without Annoying People
069-follow-up-without-annoying-people.md
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070 Lead Projects That Land
070-lead-projects-that-land.md
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071 Abstract Thinking Skill Next Decade
071-abstract-thinking-skill-next-decade.md
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072 We Engineers Suck At Task Estimation
072-we-engineers-suck-at-task-estimation.md
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073 Shiny Object Syndrome In Tech
073-shiny-object-syndrome-in-tech.md
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074 3p
074-3p.md
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075 Leverage The Equilibrium
075-leverage-the-equilibrium.md
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076 On Demand Container Loading In Aws Lambda
076-on-demand-container-loading-in-aws-lambda.md
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077 Sql Has Problems We Can Fix Them Pipe Syntax In Sql
077-sql-has-problems-we-can-fix-them-pipe-syntax-in-sql.md
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078 Nanolog A Nanosecond Scale Logging System
078-nanolog-a-nanosecond-scale-logging-system.md
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079 Best Resource Is Mythical
079-best-resource-is-mythical.md
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080 Wtf The Who To Follow Service At Twitter
080-wtf-the-who-to-follow-service-at-twitter.md
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081 Know A Lot
081-know-a-lot.md
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082 Out Of Syllabus
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083 Negotiate The Offer
083-negotiate-the-offer.md
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084 Never Bad Mouth Your Ex Exployer
084-never-bad-mouth-your-ex-exployer.md
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085 Culture Fit
085-culture-fit.md
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086 Quantification In Resume
086-quantification-in-resume.md
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087 Hiring Is Unfair
087-hiring-is-unfair.md
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088 Questions For Interviewers
088-questions-for-interviewers.md
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089 Collaboration Communication
089-collaboration-communication.md
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090 Out Of Vicious Interview Cycle
090-out-of-vicious-interview-cycle.md
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091 Pitch Projects Not Ideas
091-pitch-projects-not-ideas.md
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092 Read Design Docs
092-read-design-docs.md
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093 Read Rca Docs
093-read-rca-docs.md
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094 Start Generalist
094-start-generalist.md
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095 Do Not Rely On Summaries
095-do-not-rely-on-summaries.md
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096 Structure Your Design Interviews
096-structure-your-design-interviews.md
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097 Title Inflation
097-title-inflation.md
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098 Find Your Own Project
098-find-your-own-project.md
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099 Six Pointers To Crack Coding And Design Interviews
099-six-pointers-to-crack-coding-and-design-interviews.md
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100 Keep Yourself Unblocked
100-keep-yourself-unblocked.md
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101 Genetic Knapsack
101-genetic-knapsack.md
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102 Pseudorandom Number Generation Lfsr
102-pseudorandom-number-generation-lfsr.md
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103 How Indexes Work On Partitioned And Sharded Data
103-how-indexes-work-on-partitioned-and-sharded-data.md
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104 Some Data Partitioning Strategies For Distributed Data Stores
104-some-data-partitioning-strategies-for-distributed-data-stores.md
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105 Data Partitioning
105-data-partitioning.md
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106 Leaderless Replication
106-leaderless-replication.md
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107 Conflict Resolution
107-conflict-resolution.md
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108 Conflict Detection
108-conflict-detection.md
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109 Multi Master Replication
109-multi-master-replication.md
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110 Monotonic Reads
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111 Read Your Write Consistency
111-read-your-write-consistency.md
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112 Handling Outages Master Replica
112-handling-outages-master-replica.md
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113 Replication Formats
113-replication-formats.md
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114 Replication Strategies
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115 Master Replica Replication
115-master-replica-replication.md
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116 Durability
116-durability.md
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117 Isolation
117-isolation.md
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118 Atomicity
118-atomicity.md
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119 Consistency
119-consistency.md
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120 Architectures In Distributed Systems
120-architectures-in-distributed-systems.md
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121 Mistaken Beliefs Of Distributed Systems
121-mistaken-beliefs-of-distributed-systems.md
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122 Fork Bomb
122-fork-bomb.md
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123 Chained Operators Python
123-chained-operators-python.md
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124 Taxonomy On Sql
124-taxonomy-on-sql.md
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125 The Weird Walrus
125-the-weird-walrus.md
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126 Fully Persistent Arrays
126-fully-persistent-arrays.md
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127 Persistent Data Structures Introduction
127-persistent-data-structures-introduction.md
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128 Constant Folding Python
128-constant-folding-python.md
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129 String Interning Python
129-string-interning-python.md
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130 Recursion Visualizer Python
130-recursion-visualizer-python.md
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131 Flajolet Martin
131-flajolet-martin.md
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132 2q Cache
132-2q-cache.md
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133 Israeli Queues
133-israeli-queues.md
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134 1d Terrain
134-1d-terrain.md
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135 Jaccard Minhash
135-jaccard-minhash.md
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136 Ts Smoothing
136-ts-smoothing.md
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137 Lfu
137-lfu.md
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138 Morris Counter
138-morris-counter.md
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139 Slowsort
139-slowsort.md
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140 Bitcask
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141 Phi Accrual
141-phi-accrual.md
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142 10x Engineer
142-10x-engineer.md
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143 Decipher Repeated Key Xor
143-decipher-repeated-key-xor.md
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144 Decipher Single Xor
144-decipher-single-xor.md
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145 Python Iterable Integers
145-python-iterable-integers.md
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146 Inheritance C
146-inheritance-c.md
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147 Rum
147-rum.md
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148 Consistent Hashing
148-consistent-hashing.md
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149 Python Caches Integers
149-python-caches-integers.md
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150 Fractional Cascading
150-fractional-cascading.md
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151 Copy On Write
151-copy-on-write.md
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152 Midpoint Insertion Caching Strategy
152-midpoint-insertion-caching-strategy.md
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153 Fsm Python
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154 Bayesian Average
154-bayesian-average.md
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155 Sliding Window Ratelimiter
155-sliding-window-ratelimiter.md
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156 Idf
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157 Better Programmer
157-better-programmer.md
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158 Python Prompts
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159 Rule 30 Cellular Automata
159-rule-30-cellular-automata.md
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160 Function Overloading
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161 Isolation Forest
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162 Image Steganography
162-image-steganography.md
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163 Long Integers Python
163-long-integers-python.md
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164 I Changed My Python
164-i-changed-my-python.md
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165 Benchmark And Compare Pagination Approach In Mongodb
165-benchmark-and-compare-pagination-approach-in-mongodb.md
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166 Mongodb Cursor Skip Is Slow
166-mongodb-cursor-skip-is-slow.md
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167 Fast And Efficient Pagination In Mongodb
167-fast-and-efficient-pagination-in-mongodb.md
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168 Making Http Requests Using Netcat
168-making-http-requests-using-netcat.md
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Individual Representation:
  • Picking Individuals: Now that we have our Individual representation done, we pick a random set of Individuals that would form our initial population.

    • Takeaway

    As we discussed above there are multiple Crossover functions that we can use, like Single Point Crossover, Two-point Crossover, and Multi-point Crossover.