Search results “Fermats theorem in cryptography”

In this youtube channel, we are going to teach you the basic concepts of Cryptography and Network Security.
In this video, we have discussed how to solve Fermat's Little Theorem.
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Answers : 7^14mod13 = 10
456^17mod17 = 14
9^12mod13=1

Views: 8381
Quick Trixx

Views: 29926
Pankaj Baluja

In this youtube channel we are going to teach you the basic concepts of Cryptography and Network Security.
In this video we have discussed about how to solve Euler's Theorem.
Visit Our Channel :- https://www.youtube.com/channel/UCxik...
In this lecture we have taught about Euler's Theorem in Cryptography.
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Views: 15129
Quick Trixx

Introduction to a key result in elementary number theory using a visualization with beads
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/random-algorithms-probability/v/fermat-primality-test-prime-adventure-part-10?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/random-algorithms-probability/v/random-primality-test-prime-adventure-part-9?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
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Views: 77888
Khan Academy Labs

This is a very powerful This is an excellent video explaining the concept of Fermat's Little Theorem. Subscribe to our channel for more such videos.
Fermat Theorem is one of the most popular concepts students use while trying to solve remainder problems in MBA exams like CAT, GMAT, XAT etc.
Fermat Theorem is a very powerful concept which can be used to break down complex remainder theorem problems into easier sub parts. A basic understanding of modulus and GCD is necessary to understand the theorem well.
You can get more such videos for free here: https://cracku.in/cat/video-concepts
#cracku #cat #cat2017 #quant #di #fermat #catpuzzle #catexam #preparation #gmat #lcd #shortcuts #video

Views: 17918
Cracku

In this lecture series, you will be learning about cryptography basic concepts and examples related to it. Detailed explanation of Fermet Theorem and Eulers theorem with example.

Views: 1714
Eezytutorials

Find the least residue (modulo p) using Fermat's Little Theorem; or find the remainder when dividing by p. We start with a simple example, so that we can easily check the answer, then look at much bigger numbers where the answers cannot be directly checked on a calculator.

Views: 168620
Maths with Jay

Continued coverage of number theory for public key cryptography: Euler's totient function, Fermat's theorem, Euler's theorem, discrete logarithms, primitive roots. Course material via: http://sandilands.info/sgordon/teaching

Views: 30011
Steven Gordon

Views: 7835
Eddie Woo

My entry for the Breakthrough Junior Challenge.
Solution to test exercise:
p = 71, q = 89
n = 6319
phi = 6160
e = 3
d = 4107
"Go" = 715 (3320 encoded)
"Up" = 2116 (5350 encoded)
References:
Modular Arithmetic: http://artofproblemsolving.com/wiki/index.php/Modular_arithmetic/Introduction
Euclidean Algorithm: http://artofproblemsolving.com/wiki/index.php/Euclidean_algorithm
Euler Totient Function: http://www.artofproblemsolving.com/wiki/index.php/Euler's_totient_function
Exponentiation By Squaring: https://en.wikipedia.org/wiki/Exponentiation_by_squaring
Euler’s Theorem: https://en.wikipedia.org/wiki/Euler%27s_theorem
Fermat’s Little Theorem: https://en.wikipedia.org/wiki/Fermat%27s_little_theorem
---There are many fascinating concepts and theories to choose from. Why did you pick this one?
I picked RSA encryption as my topic because it is fundamental to the security of the internet, something which most people take for granted. Everyone should know why it is safe to send messages across the internet without fear of them being stolen. Since RSA is one of the primary encryption methods used by modern computers, people should know how it works. I also felt that this topic would be something that the majority of people don't actually know, so it would be beneficial to have a video such as this that is accessible for the average person to understand. I also make it a point to add in a clear, concrete example of why RSA encryption works, so that someone who watched the video could visualize the way RSA protects our information.
---Tell us about yourself! Why do you believe that it is important to study mathematics, life sciences, or physics?
I have a lot of experience in math. Ever since I was young, math has been my favorite subject. In high school I took an accelerated math course through multi variable calculus, and I also participated in many math competitions such as USAMO. The reason that studying STEM areas is so important is because they literally represent the future progress of our society. Each discovery and breakthrough furthers our society's knowledge and gives us access to new technology to improve the quality of life of everyone on the planet. Furthermore, STEM jobs pay very nice salaries, making it very easy to have a comfortable life as a STEM worker.
---What specific area(s) of mathematics, life sciences, or physics would you like to pursue in the future and why?
Currently I am not sure exactly which areas of math I will pursue in the future, since I could see myself in either a pure or an applied field. But hey, isn't that what college is for?
---Tell us about a teacher who inspired your interest in mathematics, life sciences, or physics. What is the teacher's name? What did that teacher do to develop your passion for learning and discovery?
The teacher who inspired me the most was my math team coach, Mr. Curt Michener. He convinced me to join the math team, and eventually I caught the math bug. If it weren't for him, I would have never truly realized my love for mathematics. He also provided me many opportunities to participate in math competitions, such as AMC, Math League, and Moody's Mega Math Challenge. I couldn't have done it without Mr. Michener.
---If you win the Breakthrough Junior Challenge, your school will receive a new, cutting-edge science lab from Cold Spring Harbor. How would this lab benefit your school?
The lab would reward those who worked hard in their science classes, hopefully causing more people to fall in love with science. That would be great for my school because we always need more science majors.

Views: 1758
Jordan Haack

Fermat and Euler
To get certificate subscribe: https://www.coursera.org/learn/crypto
========================
Playlist URL: https://www.youtube.com/playlist?list=PL2jykFOD1AWYosqucluZghEVjUkopdD1e
========================
About this course: Cryptography is an indispensable tool for protecting information in computer systems. In this course you will learn the inner workings of cryptographic systems and how to correctly use them in real-world applications. The course begins with a detailed discussion of how two parties who have a shared secret key can communicate securely when a powerful adversary eavesdrops and tampers with traffic. We will examine many deployed protocols and analyze mistakes in existing systems. The second half of the course discusses public-key techniques that let two parties generate a shared secret key.

Views: 456
intrigano

How to deal with really big exponents using the three main methods: Modular Exponentiation, Fermat's Little Theorem, and Euler's Theorem. Also explains which method to pick.
Table of contents:
Which to pick? - 0:47
Fermat's Example - 1:39
Modular Exponentiation Example - 4:43
Euler's Example - 10:13

Views: 29500
Theoretically

Using the Little Fermat Theorem to test for primality.
MISTAKE: Everywhere it says 561, it should say 23.
Questions? Feel free to post them in the comments and I'll do my best to answer!

Views: 3581
Theoretically

Here we find a remainder using the powerful Fermat's Little Theorem.

Views: 7894
Joshua Helston

In this youtube channel we are going to teach you the basic concepts of Cryptography and Network Security.
In this video we have discussed about how to find Inverse using Fermant's Little Theorem.
Visit Our Channel :- https://www.youtube.com/channel/UCxik...
Programming Interview, Software Interview, Data Structure, Algorithm, modular multiplicative inverse, multiplicative inverse, modular arithmetic, fermats theorem, euler's totient, Euler's Totient Function, Fermat's Little Theorem, Modular Multiplicative Inverse | Fermat's Theorem | Euler's Totient, yt:crop=16:11,
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Views: 6093
Quick Trixx

Introduction to congruence and the terminology used.
Fairly basic with emphasis on the arithmetic of remainders.
Examples of the addition and multiplication rules for congruence.
Powers and Fermat’s little theorem.
Lastly an example solved using Fermat’s little theorem.

Views: 81923
DLBmaths

Gresham Professor of Geometry, Raymond Flood, begins his series 'Great Mathematicians, Great Mathematics' with Pierre de Fermat:http://www.gresham.ac.uk/lectures-and-events/fermats-theorems
The seventeenth century mathematician Pierre de Fermat is mainly remembered for contributions to number theory even though he often stated his results without proof and published very little. He is particularly remembered for his ‘last theorem’ which was only proved in the mid-1990s by Andrew Wiles. He also stated other influential results, in particular Fermat’s ‘Little Theorem’ about certain large numbers which can be divided by primes. His ‘Little Theorem’ is the basis of important recent work in cryptography and internet security.
The transcript and downloadable versions of the lecture are available from the Gresham College Website: http://www.gresham.ac.uk/lectures-and-events/fermats-theorems
Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently over 1,500 lectures free to access or download from the website.
Website: http://www.gresham.ac.uk
Twitter: http://twitter.com/GreshamCollege
Facebook: https://www.facebook.com/greshamcollege

Views: 26664
Gresham College

Views: 5816
Pankaj Baluja

Step by step instructions on how to use The Chinese Remainder Theorem to solve a system of linear congruence.
Visit Our Channel :- https://www.youtube.com/channel/UCxikHwpro-DB02ix-NovvtQ
In this lecture we have taught about what how to solve multiplicative cipher method.
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Views: 31802
Quick Trixx

Views: 15191
Ian VanderSchee

The bizarre theorem proposed by Fermat in 1640, and proven almost 100 years later by Euler, as a non-applicative gem of pure math, has been dusted off by modern cryptography, and is now exploited in powerful protocols that enable the miracle of cyber commerce. Looking back the proof is so simple, one wonders why it took so long? Is there more math insight there -- that we don't see, but our adversaries do?

Views: 11839
Gideon Samid

This video lecture is produced by S. Saurabh. He is B.Tech from IIT and MS from USA.
In this lecture you will learn
1. What is modular multiplicative inverse
2. How to calculate it using Fermat's theorem
3. calculate it using Euler's totient
To study interview questions on Linked List watch http://www.youtube.com/playlist?list=PL3D11462114F778D7&feature=view_all
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To learn about Pointers in C visit
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To learn C programming from IITian S.Saurabh visit
http://www.youtube.com/playlist?list=PL3C47C530C457BACD&feature=view_all

Views: 16851
saurabhschool

In this video we have discussed about how to test whether the Fermat theorems fails or not using Primality Testing.
Visit Our Channel :- https://www.youtube.com/channel/UCxik...
In this lecture we have taught about what how to solve Fermat's Primality Testing.
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Views: 6303
Quick Trixx

Visit http://ilectureonline.com for more math and science lectures!
In this video I will explain Fermat's Theorem.

Views: 9250
Michel van Biezen

Topic covered : Fermat Little theorem and examples in hindi
Find the least residue (modulo p) using Fermat's Little Theorem; or find the remainder when dividing by p. We start with a simple example, so that we can easily check the answer, then look at much bigger numbers where the answers cannot be directly checked on a calculator.
Facebook page ..
https://www.facebook.com/Math.MentorJi/
Math Institute https://youtu.be/m1PzzVSoFQs
Graduate Math app :https://goo.gl/vo2Tj2
Facebook page ..
https://www.facebook.com/Math.MentorJi/
Math Institute https://youtu.be/m1PzzVSoFQs
Graduate Math app :https://goo.gl/vo2Tj2
Euler's phi funciton https://youtu.be/e5TkgCAYBdk
Kernel of homomorphism : https://youtu.be/Sm660fGG5sE
homomorphism and isomorphism : https://youtu.be/WaNdQh0w6Xc
Quotient group :https://youtu.be/zPhKD7ucMY8
Normal Subgroup :https://youtu.be/WkSAWw_4uPE
Product of subgroup :https://youtu.be/o4tCeHZvogM
thoerem related subgroup : https://youtu.be/cfT3ZFmfNLI
Subgroup and examples = https://youtu.be/H7CKR1Nevnw
(a+b)^2 =https://youtu.be/5i5yL2BCwpc
permuatation group theory :https://youtu.be/-VvUsxsujyc
Examples of singularity :https://youtu.be/cgsB8Z5WSPk
Riemann Sum : https://youtu.be/Z3Ecy2Zwukw
Riemann Sum problems https://youtu.be/LKuZreMPiRQ
infimum and supremum https://youtu.be/mK6NZznoZeg
Dirichlet and able test https://youtu.be/WyoMpdh7f0c
uniform convergence : https://youtu.be/_WWsMl0_9BI
MN Test of uniform : https://youtu.be/r5yec-FtlUE
pointwise convergence:http://youtu.be/o_0YjNo_v64
Cauchy integral Formula :http://youtu.be/LEJBT0nLngM
complex integration : http://youtu.be/s2wPryo_Hfs
Limit pt .of infimum & supremue :http://youtu.be/zIn8CTcX-6A
comparsion test(convergence) : http://youtu.be/02IncEDug2Y
Cauchy all theorm :http://youtu.be/G5ZTzjN8KQA
Cauchy sequence with example :http://youtu.be/B-7cUVXSZeI
Cauchy nth root test :http://youtu.be/AOPIZsR4JkU
Basics Of Sequence And Series :http://youtu.be/IZgNfFc481M
Convergence sequence : http://youtu.be/c3Il3eEPvF0
Kernel of homomorphism : https://youtu.be/Sm660fGG5sE
homomorphism and isomorphism : https://youtu.be/WaNdQh0w6Xc
Quotient group :https://youtu.be/zPhKD7ucMY8
Normal Subgroup :https://youtu.be/WkSAWw_4uPE
Product of subgroup :https://youtu.be/o4tCeHZvogM
thoerem related subgroup : https://youtu.be/cfT3ZFmfNLI
Subgroup and examples = https://youtu.be/H7CKR1Nevnw
(a+b)^2 =https://youtu.be/5i5yL2BCwpc
permuatation group theory :https://youtu.be/-VvUsxsujyc
Examples of singularity :https://youtu.be/cgsB8Z5WSPk
Riemann Sum : https://youtu.be/Z3Ecy2Zwukw
Riemann Sum problems https://youtu.be/LKuZreMPiRQ
infimum and supremum https://youtu.be/mK6NZznoZeg
Dirichlet and able test https://youtu.be/WyoMpdh7f0c
uniform convergence : https://youtu.be/_WWsMl0_9BI
MN Test of uniform : https://youtu.be/r5yec-FtlUE
pointwise convergence:http://youtu.be/o_0YjNo_v64
Cauchy integral Formula :http://youtu.be/LEJBT0nLngM
complex integration : http://youtu.be/s2wPryo_Hfs
Limit pt .of infimum & supremue :http://youtu.be/zIn8CTcX-6A
comparsion test(convergence) : http://youtu.be/02IncEDug2Y
Cauchy all theorm :http://youtu.be/G5ZTzjN8KQA
Cauchy sequence with example :http://youtu.be/B-7cUVXSZeI
Cauchy nth root test :http://youtu.be/AOPIZsR4JkU
Basics Of Sequence And Series :http://youtu.be/IZgNfFc481M
Convergence sequence : http://youtu.be/c3Il3eEPvF0
Power series radius,domain convergent:https://youtu.be/C8Bw-gFC1Gg

Views: 4402
Math Mentor

-- Created using PowToon -- Free sign up at http://www.powtoon.com/youtube/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.

Views: 634
Toures Tiu

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

Views: 2550
Udacity

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

Views: 5161
Udacity

4 typical exam or test questions. For Fermat's LAST Theorem click here https://www.youtube.com/watch?v=TEQrxlcprbY&t=2s

Views: 5980
Randell Heyman

Here I explain Euler's Theorem. What is Euler's Theorem? and Why is it useful?
My web page:
www.imperial.ac.uk/people/n.sadawi

Views: 22800
Noureddin Sadawi

Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large numbers and can aid in testing numbers to see if they are prime. For more advanced students, this theorem can be easily proven using basic group theory.
Prerequisites: To follow this video, you will want to first learn the basics of congruences.
If you found this video helpful, please share it with your friends!
You might like the other videos in our Number Theory Playlist:
https://www.youtube.com/watch?v=VLFjOP7iFI0&list=PLi01XoE8jYojnxiwwAPRqEH19rx_mtcV_
Don't forget to Subscribe to our channels so you'll hear about our newest videos:
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Subject: Number Theory
Teacher: Michael Harrison
Artist: Katrina de Dios

Views: 134420
Socratica

How eulers function and fermats theorem are useful to find out remainders, watch the video and solve the problems. Visit www.learnersplanet.com for practice questions, free notes and much more..Quant session by Alka Maheshwari, Watch the complete series at www.learnersplanet.com. Call 9099020032 for further information. Follow us :
https://www.facebook.com/LearnersPlanet
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http://www.learners-planet.blogspot.com/
https://plus.google.com/+AlkaMaheshwari/posts

Views: 9104
Learners' Planet

Number system is the topic which covers the basic concepts of whole mathematics. If you have a strong command on this chapter than you will be at ease with other chapter. In this video we will discuss the number system in great detail and we will also try to understand that how can we solve others chapters with the help of number system. This will be very helpful for you in preparing for SSC CGL, IBPS Bank PO and Clerk SBI Bank PO and clerk CAT and other competitive exams.this videos is for Fermat's Theorem & Wilson's Theorem.

Views: 4212
M.A.L Tutorials

Elliptic curves, modular forms and the beautiful link between them. More videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/videos

Views: 35554
Randell Heyman

A presentation of fermat's little theorem for RSA
Next video: https://youtu.be/WrVXuneadH8

Views: 34
Hunter Johnson

Introduction to Number Theory Tutorial 11 Cryptography and Fermat's Little Theorem

Views: 49
Chicku E Tutorials

Fermat's Little Theorem Visualized. Introduction to a key result in elementary number theory using a visualization with beads

Views: 88869
Art of the Problem

شرح modular Inverse,Euler‘s Phi Function,Fermat‘s Little Theorem

Views: 599
mohamed ftouh

In this video we look into few of the remainder theorems like Fermat's little theorem, Euler's Theorem which help us in calculating remainders.
Math Tricks Workout by JustQuant.com: https://play.google.com/store/apps/details?id=com.sankhyantra.mathstricks&hl=en

Views: 66773
JustQuant.com

Views: 3834
Sezan Vakhpieva

Views: 2387
Miran Fattah

If Fermat had a little more room in his margin, what proof would he have written there?
Support us on Patreon at https://www.patreon.com/pbsinfiniteseries
Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Resources:
Contemporary Abstract Algebra by Joseph Gallian
https://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-Gallian/dp/1133599702
Standard Definitions in Ring Theory by Keith Conrad
http://www.math.uconn.edu/~kconrad/blurbs/ringtheory/ringdefs.pdf
Rings and First Examples (online course by Prof. Matthew Salomone)
https://www.youtube.com/watch?v=h4UCMd8dyiM
Fermat's Enigma by Simon Singh
https://www.amazon.com/Fermats-Enigma-Greatest-Mathematical-Problem/dp/0385493622
Who was first to differentiate between prime and irreducible elements? (StackExchange)
https://hsm.stackexchange.com/questions/3754/who-was-first-to-differentiate-between-prime-and-irreducible-elements
Previous Episodes:
What Does It Mean to be a Number?
https://www.youtube.com/watch?v=3gBoP8jZ1Is
What are Numbers Made of?
https://www.youtube.com/watch?v=S4zfmcTC5bM
Gabe's references from the comments:
Blog post about the Peano axioms and construction of natural numbers by Robert Low:
http://robjlow.blogspot.co.uk/2018/01/whats-number-1-naturally.html
Recommended by a viewer for connections to formulation of numbers in computer science:
https://softwarefoundations.cis.upenn.edu/
In 1637, Pierre de Fermat claimed to have the proof to his famous conjecture, but, as the story goes, it was too large to write in the margin of his book. Yet even after Andrew Wiles’s proof more than 300 years later, we’re still left wondering: what proof did Fermat have in mind?
The mystery surrounding Fermat’s last theorem may have to do with the way we understand prime numbers. You all know what prime numbers are. An integer greater than 1 is called prime if it has exactly two factors: 1 and itself. In other words, p is prime if whenever you write p as a product of two integers, then one of those integers turns out to be 1. In fact, this definition works for negative integers, too. We simply incorporate -1. But the prime numbers satisfy another definition that maybe you haven’t thought about: An integer p is prime if, whenever p divides a product of two integers, then p divides at least one of those two integers.
Written and Hosted by Tai-Danae Bradley
Produced by Rusty Ward
Graphics by Ray Lux
Assistant Editing and Sound Design by Mike Petrow and Linda Huang
Made by Kornhaber Brown (www.kornhaberbrown.com)
Special thanks to Roman Pinchuk for supporting us on our Converse level on Patreon.
Along with thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level!
And thanks to Mauricio Pacheco who are supporting us at the Lemma level!

Views: 62048
PBS Infinite Series

There are two important theorems that make the job of understanding powers in modular arithmetic much simpler. These go back to Fermat and Euler. We apply these to the nice problem of deciding z mod 13. Fermat's result helps us understand powers to a prime modulus. Euler's result relies on understanding the interesting Euler phi function, and is a generalization of Fermat's. As usual we like to illustrate theorems with explicit examples.
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary.
A screenshot PDF which includes MathFoundations184 to 212 can be found at my WildEgg website here: http://www.wildegg.com/store/p105/product-Math-Foundations-C2-screenshots-pdf

Views: 6100
njwildberger

Professor Sir Andrew Wiles of Oxford University has been awarded the 2016 Abel Prize – one of the highest honours in mathematics – for his proof of Fermat’s Last Theorem. But what was this famous theorem, and why did it exercise the greatest minds for more than 300 years? Marcus du Sautoy, Simonyi Professor for the Public Understanding of Science at Oxford University, explains.

Views: 220145
University of Oxford

Views: 3702
Khan Academy Labs

FERMAT'S THEOREM AND WILSON THEOREM BY B.K. TUTORIALS

Views: 1722
B.K. TUTORIALS

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