Aliens have kidnapped you just to check the thinking ability of an intelligent human brain. They do not want to harm you unless you fail in the task designed for you. They have locked you in a cell, the exit to which is a corridor with five back to back doors. The first door which is right at the beginning of the corridor and just in front of the cell opens every 3 minutes, the second door opens every 2 minutes, the third door after every 5 minutes, the fourth after every 4 minutes and the fifth door opens after every minute. All the doors open for a time interval sufficient enough for you to walk through it safely but smaller than the time taken by you to travel between two consecutive doors which is 40 seconds. A guard comes every time when all the five doors are open simultaneously, checks that you are in your cell and leaves immediately and you have been warned that if he sees that you are trying to escape, there might be severe consequences. And also if you stay in the corridor for more than 4 minutes 30 seconds an alarm will ring and you will be executed.
The guard has just left and will come again when all the doors are again open simultaneously. You have a watch to keep track of the time. Use your grey cells to get yourself out of the cell?
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