After I scan all 3 problems. I choose problem 1 : "Wine tasting" because this problem statement is shortest LOL. Anyway the problem is quite confuse for me. So I spent a long time to understand. certainly I 'm not in time to solve this problem but I still submit code and output and pray LOL.
May I need to read this book to prepare a problem like this before second sub round. :)
I demonstrate my understand for this problem like this
For example 4,2
Given 4 glasses of wine (G) A, B, C, and D
and given C a number of minimum number( of right guess( fb not provide me :( )) to win
so the way to win is like this
A B C D
A B D C
A D C B
A C B D
D B C A
C B A D
B A C D
There are 7 ways to win
Why 7 ? 7 = C (4,2) + C(4,4)
= 6 + 1
Where is C(4,3) ? if you guess right for 3 there 's no way to miss last choice (problem state that "They will always guess a different type of wine for each glass") so C(4,3) is like C(4,4)
But for example 13, 10 and 14, 1. I still don't know how to solve this. May anyone suggest me :)
For 13, 10 :
ตอบลบC(13,10)*(number or cases he can guess the other 3 wine bottles wrong) + C(13,11) + C(13, 13)
Here ma ruby code:
def answer(m, n)
ans = 1
(n.to_i..m.to_i).each do |y|
ans = ans + binomial_coef(m.to_i, y) * (factorial(m.to_i - y) - answer(m.to_i - y, 1)) if m.to_i - y - 1 > 0
end
ans
end
I didn't pass the round though. The ruby code didn't get me the result within the 6 mins.
@Anoop.J.S May you store your Factorial value in memory for 1..100 first you can get this precalculate value faster than realtime compute
ตอบลบMay this help you improve your time :)
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