RE: wonderings
11-27-2016, 09:45 PM
for every possible starting deck D of a standard game of solitaire:
1. is there always a sequence of moves M that will lead to a victory condition?
1. a. if not, can it be determined whether M exists? with D known? without D known?
2. with a given deck D where M exists, is it always possible to determine whether a move is in M or not, without knowing the locations of all elements of D? essentially, can it always be determined which is the better move to make, or can an arbitrary decision between two equally promising moves change the outcome of the game? is it necessary to know the location of every card in order to ensure a victory?
3. can there be more than one M for each D?
1. is there always a sequence of moves M that will lead to a victory condition?
1. a. if not, can it be determined whether M exists? with D known? without D known?
2. with a given deck D where M exists, is it always possible to determine whether a move is in M or not, without knowing the locations of all elements of D? essentially, can it always be determined which is the better move to make, or can an arbitrary decision between two equally promising moves change the outcome of the game? is it necessary to know the location of every card in order to ensure a victory?
3. can there be more than one M for each D?