A hundred4prisoners are each9locked in a room with3three pirates, one6of whom will walk the plank in the morning. Each prisoner has910 bottles of wine, one of which has been poisoned, and each pirate has112 coins, one of which is counterfeit and weighs either more or less than a genuine coin. In the room is a single switch, which the prisoner may either leave as it is, or flip. Before being led into the rooms, the prisoners are all made to wear either a red hat or a blue hat, they can see all the other prisoners' hats, but not their own. Meanwhile, a8six-digit prime number of monkeys multiply until their digits reverse, then all have to get across a river using a canoe that can hold at most two monkeys at a time. But half the monkeys always lie and the other half always tell the truth. Given that the39th prisoner knows that one of the monkeys doesn't know that a pirate doesn't know the product of two numbers between51 and 100 without knowing that the19th+1 prisoner has flipped the switch in his room or not after having determined which bottle of wine was poisoned and what color his hat is, what is the solution to this puzzle?
Take all the digits mentioned, assign each of those a letter and use that as the key to a Vigenère cipher to decipher the text of the puzzle which will yield a Morse code pattern when spelled out on the buttons of a phone where an odd digit represents a dash and and even represents a dot. Then once you have the Morse code decoded it will tell you to look up all the number one hit singles from 1972 and take the 4th letter from each one. Using those letters the answer will then make sense.
Coins have been seen in this cache.