dfjlkSJLSDDSDKSDLK's blog

By dfjlkSJLSDDSDKSDLK, history, 5 years ago, In English

https://codeforces.net/contest/1370/problem/C Why the 90 give Ashishgup?

I found Fastestfinger

90-->30_(/3) --> 10_(/3) -->2_(/5)-->1_(-1)

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5 years ago, # |
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First, $$$ 90 = 2 * 3^2 * 5 $$$ then Ashishgup makes $$$90 / (3 * 5) = 6$$$, so the are two options make $$$6 / 3 = 2 $$$ or $$$6 - 1 = 5$$$ and in both of them FastestFinger loses.

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    5 years ago, # ^ |
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    A:90/3=30 F:30/3=10 A:10/5=2 F:2-1=1 so Fastest Finger win?

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      5 years ago, # ^ |
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      Yes, in that sequence of movements FastestFinger wins, but that is because Ashishgup did not make the most optimal plays. As you can see, if the first movement is $$$90 / 30$$$ then Ashisgup will win no matter what, that is the most optimal play for him.