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Problem E (LISDL) was already appeared on Topcoder SRM 332 Div1 Hard . (Although I didn't know this problem during the contest)
and SnackDown Online Pre- elimination Round B 2016 as well
I think I have a better analysis for nim problem which gives .Though it is not a big improvement.I want help to find what is the fault in my method if there is any. So idea is when that ceil(n/k)> , do a single step. And when ceil(n/k)<= .try to reduce ceil value by 1.Remember that N is original number and n is intermediate number.
Each of the two steps cannot take place more than times.Complexity is .
Please find fault in it.
Seems obvious to me. The number of steps where we subtract is and the number of steps where we subtract is also . Approximating the Euler limit is overkill.