TESTfunda Puzzle of the Week 25-May-12

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Testfunda
25-May-12
Puzzle of Week
Puzzle # 210 - Astra'a Astronomical Expedition II
24-May-12
Astra successfully solved the magic square and so king Dark Matter of Sorcera had to release her and give her the codes which would reverse the time travel and help her return to the dimension to which she belonged. But Dark Matter had his own twisted schemes which made him give Astra incorrect codes due to which she passed through the black hole and reached an altogether new dimension and landed on a planet named Draconia. She was captured by King Megamath of Draconia and was imprisoned. There, she met 14 other inmates who were also explorers and were stuck in the cell. King Megamath also has a penchant for puzzles. Seeing Astra’s desperation to be free again, he offers Astra a deal. He has two boulder crushing machines, each one of which is either currently switched off or switched on. Only Megamath knows which machine(s) is/are on and which machine(s) is/are off.
One of the prisoners will be randomly called and ordered to toggle the switch position of exactly one of the two machines i.e. the prisoner can either switch off exactly one machine which is already on or it can switch on exactly one machine that is off but a prisoner will not be allowed to reinstate the position of the switch to what it was in the beginning. No order will be followed when it comes to calling the prisoners and any one may be ordered to come to toggle switch positions any day for any number of times. This process may or may not take place everyday and depends totally on Megamath’s mood. None of the prisoners know who or when someone has been asked to toggle switches. A time will come when all the prisoners will get their respective turns to toggle switches. If Astra is successfully able to declare when all the prisoners have got their turns, they all will be released. However, if even a single prisoner is yet to get his/her turn and Astra declares that all of them have toggled at least once, then all the prisoners will be crushed using the boulder crushing machines. The prisoners cannot communicate amongst themselves once the king starts ordering the prisoners to go and toggle switches. If any one is caught communicating with the others, then all of them will be crushed. Help Astra to devise a strategy to counter the evil lord’s cunning plans.
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