Project Euler #100: Arranged probability
Project Euler #100: Arranged probability
georeth2010 + 0 comments Page 176-178 of "Quadratic Diophantine Equations" by Titu Andreescu, Dorin Andrica.
(IMHO, this is a meaningless problem)
jamespate + 0 comments The case P/Q = 1/2 like the real Project Euler Problem 100 is very easy to solve once you are able to look up the sequence: 1, 3, 15, 85, 493, 2871, 16731,... It turns out to be Sloane's integer sequence https://oeis.org/A011900 which has a nice and easy recurrence of a(n) = 6*a(n-1) - a(n-2) - 2 with a(0) = 1, a(1) = 3.
satyajeet753 + 0 comments why this can't be solved using binary search
kitchent + 0 comments Does anyone knows whether Brahmagupta's composition is applicable here or not? I'm stuck with not being able to generate
85 120
from3 4
and15 21
.Even completing squares to arrive at Pell's equation with integer is troublesome with like
3 8
. No clue yet.EDIT: It gets frustrating. This time I follow the continued fraction approach. The trouble is still at the very beginning. While now I know that as a perfect square should result in
No solution
, I could not get the Pell's Equation in its appropriate form. The one I've got is , where . So now it is . But when I plug in with and for the case and , those and are not integers. The fact is that, I couldn't even get the fundamental solutions for and right.Is it possible that there are multiple valid Pell's Equations for one input? But then there would be infinitely many such equations as I could just modify the corresponding . This idea sounds horrifying. And when
sqrt
is involved, answers like181489708628619 296371453137673
is found for3 8 1000
, which is obviously wrong.Also, there is the issue with
OverflowError: long int too large to convert to float
for Test Case #11, #16 and #17, when I tried to performy * sqrt(k) + 1
.Trying to implement something like the Generic two integer variable equation solver is too overwhelming.
EDIT 2: Just found this, this, this, and this. That's a lot of reading ahead of me.
cantonios + 0 comments Hmm... is there an approach that doesn't require implementing a full quadratic diophantine solver? Mine has gotten extremely complex, and is starting to time out.
ykrmeena + 1 comment I am solved complete problem but having only problem with Scanner to take input.can you suggest me what can i do for take input via scanner or oter way.
zack_kenyonAsked to answer + 0 comments Endorsed by ykrmeenaScanner is what, java? All data is passed to the program via STDIN. you can check the hackerrank tutorial for java problems though if that's not enough.
Vignesh201293 + 1 comment Can anyone elaborate the question more thank you
ykrmeena + 0 comments their are problem to find how many blue disk having in total disk which have followed ratio of p/q :that you enter. d+1 is minimum no. of disk .Now you can solve......
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