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Questions about problems that entail selecting the best element from some set of available alternatives, and methods to solve them.
13
votes
1
answer
3k
views
Analyzing a modified version of the card-game "War"
A simple game usually played by children, the game of War is played by two people using a standard deck of 52 playing cards. Initially, the deck is shuffled and all cards are dealt two the two players …
10
votes
2
answers
294
views
Ordering elements so that some elements don't come between others
Given an integer $n$ and set of triplets of distinct integers
$$S \subseteq \{(i, j, k) \mid 1\le i,j,k \le n, i \neq j, j \neq k, i \neq k\},$$
find an algorithm which either finds a permutation $\pi …
8
votes
5
answers
8k
views
Algorithm to find optimal currency denominations
Mark lives in a tiny country populated by people who tend to over-think things. One day, the king of the country decides to redesign the country's currency to make giving change more efficient. The ki …