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1 SPOJ.com - Problem MUL
https://www.spoj.com/problems/MUL/
VFMUL - Very Fast Multiplication ... Multiply the given numbers. Input. n [the number of multiplications <= 101]. l1 l2 [numbers to multiply (at most 300000 ...
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2 Fast Multiplication.java at master · SH-anonta/Competitive ...
https://github.com/SH-anonta/Competitive-Programming-Solutions/blob/master/SPOJ/SPOJ%20MUL%20-%20Fast%20Multiplication.java
Competitive-Programming-Solutions/SPOJ/SPOJ MUL - Fast Multiplication.java. Go to file · Go to file T; Go to line L; Copy path; Copy permalink.
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3 Fast Multiplication on SPOJ - c++ - Stack Overflow
https://stackoverflow.com/questions/65156759/fast-multiplication-on-spoj
According to the problem, the answer can shoot up to 1e100000000 which is far larger. Ways to solve this are: Use Strings to store integers and ...
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4 Fast Multiplication - Codeforces
http://codeforces.com/blog/entry/1720
I had posted the same at topcoder and spoj but can't get the desired help, can somebody help me here for this problem. This code is taking 8 sec and I am ...
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5 Fast Multiplication - SPOJ MUL - Virtual Judge
https://vjudge.net/problem/SPOJ-MUL
Multiply the given numbers. Input. n [the number of multiplications <= 1000]. l1 l2 [numbers to multiply (at most 10000 decimal digits each)].
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6 SPOJ VFMUL - Very Fast Multiplication (FFT) - WuTao's Blog
https://wutao18.github.io/2019/09/18/SPOJ-VFMUL-Very-Fast-Multiplication-FFT/
SPOJ VFMUL - Very Fast Multiplication (FFT) · Description · Input · Output · Example · Solution · Code ...
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7 [Solved]-Fast Multiplication on SPOJ-C++ - appsloveworld
https://www.appsloveworld.com/cplus/100/1418/fast-multiplication-on-spoj
From the problem description: Input n [the number of multiplications <= 1000] l1 l2 [numbers to multiply (at most 10000 decimal digits each)] Text grouped ...
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8 Spoj | Not So Fast Multiplication - StopStalk
https://www.stopstalk.com/problems?problem_id=6581
› problems
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9 SPOJ Fast Multiplication Solution in C, C++
https://onlinejudgesolution.blogspot.com/2017/05/spoj-fast-multiplication-solution-in-c-c.html
SPOJ Fast Multiplication Solution in C, C++ · Sphere Online Judge Solution Fast Multiplication · SPOJ Fast Multiplication Solution Code in CPP: ...
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10 spoj Fast Multiplication - degvx - 博客园
https://www.cnblogs.com/gaudar/p/9751570.html
spoj Fast Multiplication. 题意:乘法. 要用nlogn的fft乘法。 复制代码. //#pragma comment(linker,"/STACK:1024000000,1024000000") ...
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11 Fast Multiplication - explanation - general - CodeChef Discuss
https://discuss.codechef.com/t/fast-multiplication-explanation/4227
The best way to solve this is to split the multiplication operation into different steps so that the modulo operator can be applied in intermediate steps to ...
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12 SPOJ fast multiplication - Google Groups
https://groups.google.com/g/acm_guc/c/UBiu3iVZloc/m/e9fhLe9E7OQJ
SPOJ fast multiplication · Ahmed Mohamed Abdel-Samad Abdel-Khaleq El-Shenoudi · Maha Badreldin · Abdallah Elguindy · Ahmed Mohamed Abdel-Samad Abdel-Khaleq El- ...
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13 A Times B - DMOJ: Modern Online Judge
https://dmoj.ca/problem/atimesb
For a while now, FatalEagle has been thinking about fast multiplication. He found the problem on SPOJ, MUL, and solved it without too much trouble.
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14 SPOJ VFMUL - Very Fast Multiplication (FFT) - CSDN博客
https://blog.csdn.net/G19850917/article/details/101450530
SPOJ VFMUL - Very Fast Multiplication (FFT). G19850917 于 2019-09-18 21:19:00 发布 109 收藏. 原文链接:http://www.cnblogs.com/wulitaotao/p/11545421.html.
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15 Online Compiler and IDE >> C/C++, Java, PHP, Python, Perl ...
https://ideone.com/fork/Jrqvcw
... 1341M JAVA 13525718 2015-01-26 16:32:50 Fast Multiplication runtime error ... About SPOJ width: 900 1024 Full theme: olive banana plum hspl #spoj at ...
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16 SPOJ 31 - MUL Solution - Coding Quest
http://uvaquest.blogspot.com/2016/12/spoj-31-mul-solution.html
Multiply the given numbers. The numbers to multiply at most 10000 decimal digits each. This problem can be solved easily using Java BigInteger.
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17 Fast Multiplication» с сайта spoj.com на python - YouTube
https://www.youtube.com/watch?v=7_nDhzpBsos
Vadim Kiselev
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18 hc12 spoj solution - Arpit Bhayani
https://arpitbhayani.me/competitive-programming-solutions/spoj/hc12
Some Helpful Links : http://digital-madness.in/blog/2013/fast-io-in-c/ http://en.wikipedia.org/wiki/Exponentiation_by_squaring ...
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19 Fast Fourier transform - Algorithms for Competitive Programming
https://cp-algorithms.com/algebra/fft.html
E.g. in 1971 Schönhage and Strasser developed a variation for multiplying arbitrary large numbers that applies the FFT recursively in rings ...
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20 TMUL – Not so fast multiplication | 0xdbeef's cubicle
https://dbeef.lol/2018/01/07/tmul-not-so-fast-multiplication/
http://pl.spoj.com/problems/TMUL/ Implementując szkolne mnożenie pisemne nie da się rozwiązać tego zadania w czasie oczekiwanym przez spoj, ...
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21 102 Easier Classical SPOJ Solutions using Python - Dreamshire
https://blog.dreamshire.com/various-spoj-solutions-in-python/
Fast Multiplication (MUL). Time: 0.00. Output: Multiply two numbers. for _ in xrange(int(raw_input())): a, b = ...
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22 Catarina Moreira
http://web.ist.utl.pt/~catarina.p.moreira/programming.html
More recently I found about the Sphere Online Judge (SPOJ) website, which has some interesting problems to ... Large Integer Fast Multiplication Algorithms.
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23 SPOJ Volume III - Algorithmist
https://algorithmist.com/wiki/SPOJ_Volume_III
SPOJ Volume III ; 146 MULTIPLY - Fast Multiplication Again · MULTIPLY ; 147 TAUT - Tautology · TAUT ; 148 MLAND - Land for Motorways · MLAND ; 149 ...
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24 SPOJ - POWFIB (Fibo and non fibo) Time Limit Exceeds
https://codereview.stackexchange.com/questions/97673/spoj-powfib-fibo-and-non-fibo-time-limit-exceeds
Here, you are using modular exponentiation and modular multiplication, which are fast enough. Your nonfibo function is also taking only ...
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25 spoj - Shiruku.list - laekov
https://laekov.com.cn/list/tag/spoj
spoj235 Very Fast Multiplication. 水水的fft啦.主要是来mark一下数论版fft. ... ; bzoj2482 Spoj1557 Can you answer these queries II. 原来备案还没过。那之前是怎么 ...
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26 Using Fourier Transforms to Multiply Numbers | Hacker News
https://news.ycombinator.com/item?id=18874347
It's pretty interesting--it's actually a recursive multiplication algorithm with log log N levels of recursion and N log N work at each level.
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27 45/60 days advanced training course - Regex Software
https://www.regexsoftware.com/wp-content/uploads/2020/03/Competitive_Programming.pdf
spoj.com - HISTOGRA. ○ codeforces.com - D. Maximum Xor ... codechef.com - A tutorial on Fast Modulo Multiplication. Euclid's GCD Algorithm. Resources.
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28 MUL - Fast Multiplication - 洛谷| 计算机科学教育新生态
https://www.luogu.com.cn/problem/SP31
题目来源 SPOJ. 评测方式RemoteJudge ... 题目描述. Multiply the given numbers. ... l1 l2 [numbers to multiply (at most 10000 decimal digits each)].
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29 Entries in SPOJ category - 0w1
https://h0rnet.hatenablog.com/archive/category/SPOJ
Fast fourier transform can be applied on multiplication of polynomial functions, giving O( N lgN ) time complexity.
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30 Spoj Score
https://spojscore.herokuapp.com/

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31 Find Last Digit of a^b for Large Numbers - GeeksforGeeks
https://www.geeksforgeeks.org/find-last-digit-of-ab-for-large-numbers/
If b%4==0 that means b is completely divisible by 4, so our exponent now will be exp = 4 because by multiplying number 4 times, we get the last ...
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32 gzip -dc prf-SPOJ-classical.ps - AMiner
https://static.aminer.org/pdf/PDF/000/210/726/trong_spatial_mixing_for_lattice_graphs_with_fewer_colours.pdf
SPOJ Problem Set (classical). 31. Fast Multiplication. Problem code: MUL. Multiply the given numbers. Input n [the number of multiplications ...
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33 Fast Fourier Transform and 2D Convolutions - Activities
https://activities.tjhsst.edu/sct/lectures/2021/2020_10_23_FFT.pdf
The Fast Fourier Transform (FFT) is a common technique for signal ... The multiplication of two polynomials f and g is then simply each term ...
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34 Fast fibonaci by matrix exponentiation
https://discuss.codingblocks.com/t/fast-fibonaci-by-matrix-exponentiation/13254
matrix-exponentiation-implementation-seq-spoj ... i have a better and easy and simple way to multiply matrices usin goperator overloading , look at it.
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35 latest questions - CodeChef Discuss
https://codechef13.rssing.com/chan-13217065/all_p856.html
//for taking symmetrical cases into account, multiply by 2. return 2*ans ... Prime Miller Rabin; Matrix Recurrence + Fast Modulo Multiplication for counting ...
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36 1.Game Theory - sharingwithfrn - Google Sites
https://sites.google.com/site/sharingwithfrn/8-others/game-theory
› site › sharingwithfrn › 8-others
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37 HackerRank/LeetCode/SPOJ刷题笔记 Flashcards - Quizlet
https://quizlet.com/cn/507926307/hackerrankleetcodespoj%E5%88%B7%E9%A2%98%E7%AC%94%E8%AE%B0-flash-cards/
(Not really faster than binary exponentiation). ... The function a2 roughly corresponds to multiplication: ∀n : a2(n) = 2n + 3.
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38 Online Contest | awsmcode
https://awsmcode.wordpress.com/category/online-contest/
SPOJ #4177. ... Step 1 : Multiply index i of B with all the indexes j of A. Add the ... Fast Doubling method to find nth Fibonacci number.
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39 courses:a4b36acm2:2013_ls:seminar9 [CourseWare Wiki]
https://cw.fel.cvut.cz/b172/courses/a4b36acm2/2013_ls/seminar9
Ant - Ants know nothing about matrix multiplication and fast exponentiation. ... http://www.spoj.com/problems/GEOPROB/
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40 SPOJ Classical | PDF | Subject (Grammar) | Verb - Scribd
https://www.scribd.com/doc/62889027/SPOJ-Classical
Fast Multiplication. Problem code: MUL Multiply the given numbers. Input n [the number of multiplications <= 1000] l1 l2 [numbers to multiply (at most 10000 ...
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41 Karatsuba Multiplication Algorithm – Python Code
https://pythonandr.com/2015/10/13/karatsuba-multiplication-algorithm-python-code/
result = 72 · 10002 + 11538 · 1000 + 272205 = 83810205. Pseudocode and Python code ...
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42 Really Fast I/O methods for Programming in C++ (Input ...
http://abhisharlives.blogspot.com/2012/06/really-fast-io-methods-for-programming.html
x=(x<<1)+(x<<3)+(c-48); Explanation for expression in between Parentheses 1 & 2: As you know, left shifting by every bit results multiplication ...
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43 SPOJ Problems Solved - richard-desktop - Learning
http://rchardx.is-programmer.com/posts/16168.html
31 - Fast Multiplication[MUL] 高精度乘法,可以使用FFT等算法。其实直接压位也可以过。 32 - A Needle in the Haystack[NHAY] KMP算法就可以过了。
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44 SPOJ Polynomial Multiplication / Fast Fourier transform
https://pastebin.com/4b4zsr3F
SPOJ Polynomial Multiplication / Fast Fourier transform ; [i + ; ], v = ; [i + ; + len / ; ] * ...
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45 Fast arithmetic - DJ Bernstein's
https://cr.yp.to/arith.html
[multapps] 60pp. (PDF) D. J. Bernstein. Fast multiplication and its applications. Document ID: 8758803e61822d485d54251b27b1a20d. URL: https://cr.yp.to/papers.
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46 Fast Multiplication on SPOJ - Anycodings.com
https://www.anycodings.com/1questions/1894242/fast-multiplication-on-spoj
Answers 1 : of Fast Multiplication on SPOJ · Use Strings to store integers and use the operations on strings to multiply. You can check this ...
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47 Multiplication algorithm - Wikipedia
https://en.wikipedia.org/wiki/Multiplication_algorithm
A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are used.
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48 On Your Mark, Get Set, Multiply | Quanta Magazine
https://www.quantamagazine.org/the-math-behind-a-faster-multiplication-algorithm-20190923/
And second, the way most computers are designed, small additions can be performed much faster than small multiplications.
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