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    I can't enumerate all the possible ways that make the game possible to complete; there are 107 items. Commented Mar 3, 2017 at 18:40
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    @Smurfton You wouldn't need to. You'd just need a way of mapping the Nth logical item to that configuration. For example, if you have a lock that has 5 digits and you choose 4 numbers then you know that 57th combination would be 2-1-0-2 (that's just 57 in base 5) and you wouldn't need to actually generate the 56 combinations that came before it. You just need to come up with a good algorithm to determine "the Nth possible valid state of the game". Commented Mar 3, 2017 at 19:40