Use MathJax to format equations. What we are after are the $10$ digits from the $n$th number onward in the finite sum By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. The description of problem 1 on Project Euler reads. 0. To learn more, see our tips on writing great answers. Why is it wrong to answer a question with a tautology? Contribute to IsmailBayam/Project-Euler development by creating an account on GitHub. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. For example for n=$10^{16}$: we have to sum the 10 decimal digits from the $10^{16}$th number onward of those fractions : $$a_k=\frac1{3^k}$$ such that k in [1..33] . Is there a puzzle that is only solvable by assuming there is a unique solution? marked in red. When did the Altair move ROM to the top of memory? In this Poject Euler probelm < https://projecteuler.net/problem=731 > I'm asked to find the 10 decimal digits from the nth number onward in the decimal expansion of the infinte serie : $$\sum_{k=1}^\infty\frac1{10^{3^k}3^k}$$ which is equal to the stoneham number $\alpha_{10,3}$. $$, $$ Total Inversion Count of Divided Sequences: 706. Here's code that implements the idea I had in mind: Although it technically works, this method is problematic because $10^{n - 3^k - 1}$ is very large. Podcast 285: Turning your coding career into an RPG, Creating new Help Center documents for Review queues: Project overview, Feature Preview: New Review Suspensions Mod UX, Project Euler Problem 11 (“Largest product in a grid”) in Python, Project Euler 11: Largest product in a grid, Project Euler problem #11 - Largest product in a grid, Project Euler 11: Largest product in a grid, Python3, Project Euler #11 Largest Product in a Grid | Cache-optimized + sliding window (C++14), (Follow-up) Project Euler #11 Largest Product in a Grid | Cache-optimized + sliding window (C++14), Project Euler # 11 largest product in a grid in Python, Largest product in a grid: Project Euler 11. Turning right but can't see cars coming (UK). rev 2020.11.12.37996, The best answers are voted up and rise to the top, Mathematics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, It's not clear what you're trying to say in the description of your method. For more information, see our Privacy Statement. Solution #1. i'm currently in the process of learning c++ and i thought sharing the solutions of the questions which i've solved before might help beginners(like me :D) i hope this repository will be helpfull for all beginners. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. 0. Project Euler 233 on Hackerrank. Code Review Stack Exchange is a question and answer site for peer programmer code reviews. Learn more. How can I seal a gap between floor joist boxes and foundation? MathJax reference. GitHub is home to over 50 million developers working together to host and review code, manage projects, and build software together. It only takes a minute to sign up. What is the reasoning behind nighttime restrictions during pandemic? Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems. within each array or array view. Project Euler Problem 65. Project Euler, Problem #25. Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Problem 11: In the 20×20 grid below, four numbers along a diagonal line have been marked in red. 3-Like Numbers Fore re-usability (I know, not such a big concern here) you should give your function a name that explains what it does.

How should I visualize the average of two bars in a bar chart? Turning right but can't see cars coming (UK). they're used to gather information about the pages you visit and how many clicks you need to accomplish a task.

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How would Earth turn into debris drifting through space without everything at its surface being destroyed? Equivalently, we want the first 10 digits after the decimal point in the number $10^{n-1}S_1$, which is equal to Solutions of the problems on Project Euler. Convert from VGA 9 pin to RCA (manually - old machine), All applications cannot open unless Internet is off. Hint: Let $i$ be the smallest integer for which $3^i > n$. In the 20×20 grid below, four numbers along a diagonal line have been Background Image vs Reference Image - What are the pros and cons of these methods? Modern IDEs are magic. Stop at $\frac1{81}$ because $10^{243}$ in the denominator will gives us 243 zeros after the decimal point. LIST[:,i] to get the ith column, Because of this, j is always 19, since the inner for loop has finished, so the first two blocks are actually unreachable. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The sum of these multiples is 23. This solution contains 10 empty lines, 14 comments and 3 preprocessor commands. Making statements based on opinion; back them up with references or personal experience. Learn more.

Find the sum of the digits in the number 100! If you have written code to implement this, it would be helpful if you could edit your post to include this code, $$ download the GitHub extension for Visual Studio.

Is it possible to use NumPy or any other library from Anaconda3 to make this code more readable? If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. Benchmark. Your last three if blocks are not in the inner for loop. If nothing happens, download the GitHub extension for Visual Studio and try again. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. $$ Why does my character have such a good sense of direction? Effect of touchdown on angle of attack, tailwheel vs tricycle. How can I ask colleagues to use chat/email instead of scheduling unnecessary calls? Here I make my solutions publicly available for other enthusiasts to learn from and to critique. Has there been a naval battle where a boarding attempt backfired? Project Euler - Problem 1 Problem #1. Are bleach solutions still routinely used in biochemistry laboratories to rid surfaces of bacteria, viruses, certain enzymes and nucleic acids? Find the sum of all the multiples of 3 or 5 below 1000. If LIST were a two-dimensional numpy array, you could use Use MathJax to format equations. 1. How important is the gate threshold voltage on a MOSFET. Project Euler Problem 338. How to make this illumination effect with CSS. Learn more. 0. Then for all the fractions : take the the 10 decimal digits from the nth digit onward and sum them up. How can a chess game with clock take 5 hours? You should have a look at Python's official style-guide, PEP8. $$ We use essential cookies to perform essential website functions, e.g. By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. This method works fine for A(100) , but it is clear that for large n , this method will not work due to carries addition issue .

Use Git or checkout with SVN using the web URL. Peak memory usage was about 18 MByte. @meh98 Maybe you had a problem before because of python2 vs python3. We use optional third-party analytics cookies to understand how you use GitHub.com so we can build better products. Asking for help, clarification, or responding to other answers. S_2 = \sum_{k=1}^i \frac{10^{n - 3^k - 1}}{3^k}. For instance: Thanks for contributing an answer to Mathematics Stack Exchange!

How to break the cycle of taking on more debt to pay the rates for debt I already have? Project Euler analyzing and simplifying problem 33.

Find the sum of the digits in the number 100! 44. Isn't "2+2" correct when answering 'What is "2+2"'? We use optional third-party analytics cookies to understand how you use GitHub.com so we can build better products. What does "worm of yellow convicts" mean? Convert from VGA 9 pin to RCA (manually - old machine). It recommends using lower_case for variable names.

How should I visualize the average of two bars in a bar chart? Turning right but can't see cars coming (UK). they're used to gather information about the pages you visit and how many clicks you need to accomplish a task.

Thanks for contributing an answer to Code Review Stack Exchange! It only takes a minute to sign up.

How would Earth turn into debris drifting through space without everything at its surface being destroyed? Equivalently, we want the first 10 digits after the decimal point in the number $10^{n-1}S_1$, which is equal to Solutions of the problems on Project Euler. Convert from VGA 9 pin to RCA (manually - old machine), All applications cannot open unless Internet is off. Hint: Let $i$ be the smallest integer for which $3^i > n$. In the 20×20 grid below, four numbers along a diagonal line have been Background Image vs Reference Image - What are the pros and cons of these methods? Modern IDEs are magic. Stop at $\frac1{81}$ because $10^{243}$ in the denominator will gives us 243 zeros after the decimal point. LIST[:,i] to get the ith column, Because of this, j is always 19, since the inner for loop has finished, so the first two blocks are actually unreachable. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The sum of these multiples is 23. This solution contains 10 empty lines, 14 comments and 3 preprocessor commands. Making statements based on opinion; back them up with references or personal experience. Learn more.

Find the sum of the digits in the number 100! If you have written code to implement this, it would be helpful if you could edit your post to include this code, $$ download the GitHub extension for Visual Studio.

Is it possible to use NumPy or any other library from Anaconda3 to make this code more readable? If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. Benchmark. Your last three if blocks are not in the inner for loop. If nothing happens, download the GitHub extension for Visual Studio and try again. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. $$ Why does my character have such a good sense of direction? Effect of touchdown on angle of attack, tailwheel vs tricycle. How can I ask colleagues to use chat/email instead of scheduling unnecessary calls? Here I make my solutions publicly available for other enthusiasts to learn from and to critique. Has there been a naval battle where a boarding attempt backfired? Project Euler - Problem 1 Problem #1. Are bleach solutions still routinely used in biochemistry laboratories to rid surfaces of bacteria, viruses, certain enzymes and nucleic acids? Find the sum of all the multiples of 3 or 5 below 1000. If LIST were a two-dimensional numpy array, you could use Use MathJax to format equations. 1. How important is the gate threshold voltage on a MOSFET. Project Euler Problem 338. How to make this illumination effect with CSS. Learn more. 0. Then for all the fractions : take the the 10 decimal digits from the nth digit onward and sum them up. How can a chess game with clock take 5 hours? You should have a look at Python's official style-guide, PEP8. $$ We use essential cookies to perform essential website functions, e.g. By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. This method works fine for A(100) , but it is clear that for large n , this method will not work due to carries addition issue .

Use Git or checkout with SVN using the web URL. Peak memory usage was about 18 MByte. @meh98 Maybe you had a problem before because of python2 vs python3. We use optional third-party analytics cookies to understand how you use GitHub.com so we can build better products. Asking for help, clarification, or responding to other answers. S_2 = \sum_{k=1}^i \frac{10^{n - 3^k - 1}}{3^k}. For instance: Thanks for contributing an answer to Mathematics Stack Exchange!

How to break the cycle of taking on more debt to pay the rates for debt I already have? Project Euler analyzing and simplifying problem 33.

Find the sum of the digits in the number 100! 44. Isn't "2+2" correct when answering 'What is "2+2"'? We use optional third-party analytics cookies to understand how you use GitHub.com so we can build better products. What does "worm of yellow convicts" mean? Convert from VGA 9 pin to RCA (manually - old machine). It recommends using lower_case for variable names.