Problems from Tough Cubs' Contest, October 2016

These problems are from a contest hosted on October 8, 2016 at 4:00 PM UTC. See details...

Standings
A. The Perfect Collection
Given an array A of N integers, if we choose any K of these integers and calculate their bitwise XOR...
B. Alice and the Chessboard
It's Sunday afternoon, and Alice is in her room trying to figure out the rules of the game called Ch...
C. Darth Vader and 3PO on a Tree!
Did you watch Star Wars yet? No? You should in your free time. Now back to Darth Vader and 3PO. Dart...
D. Old Magic!
You: Guess an integer number, but don't tell me. Your friend: Okay! You: Now multiply it by 3. Your ...
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