英语翻译There was a jail with 100 cells in it,all in a long row.The warden was feeling very jolly one night and told his assistant that he wanted to give all the prisoners a surprise.While they were sleeping,he wanted the asistant to unlock all t

英语翻译There was a jail with 100 cells in it,all in a long row.The warden was feeling very jolly one night and told his assistant that he wanted to give all the prisoners a surprise.While they were sleeping,he wanted the asistant to unlock all t
英语翻译
There was a jail with 100 cells in it,all in a long row.The warden was feeling very jolly one night and told his assistant that he wanted to give all the prisoners a surprise.While they were sleeping,he wanted the asistant to unlock all the cells.This should be done,he told the assistant,by putting the key in each lock and turning it once.
Following the order,the assistant unlocked all the cells and then reported that the job was done.Meanwhile,however,the warden had second thoughts.He said to the assistant,"Go back and leave the first cell open,but lock the second one,by putting the key in and turning it once.Then leave the third open,but lock the fourth,and continue this way for the entire row."
The assistant wasn't surprised at this request because the warden often changed his mind.After finishing the task,the assistant returned,and again the warden had often thoughts."Here's what I really want you to do." he said."Go back down the row.Leave the first two cells as they sre,and put your key in the third cell and turn it once.Then leave the fourth and fifth cells alone and turn the key in the sixth.Continue down the row this way."
The assistant again did as instructed.Fortunately,the prisoners were still asleep.As a matter of fact,the assistant was getting pretty sleepy,but there was no chance for rest yet.The warden changed his mind again,and the assistant had to go back again and turn the lock in the fourth cell and in every fourth cell down the row.
This continued all through the night,next turning the lock in every fifth cell,and then in every sixth,and on,until on the last trip,the assistant just had to turn the key in the hundredth cell.
When the prisoners finally work up,which ones could walk out of their cells?

英语翻译There was a jail with 100 cells in it,all in a long row.The warden was feeling very jolly one night and told his assistant that he wanted to give all the prisoners a surprise.While they were sleeping,he wanted the asistant to unlock all t
这是道数学题目.
【有一所监狱里有100个排成一行的牢房.一晚,监狱的看守心血来潮,对他的伙计说要给囚犯们一个惊喜.他想让伙计在囚犯们睡着的时候把牢房的门锁解开.门锁解开的方式是把钥匙插进去后转一圈.（也就是说解开后再转一圈就会再次锁上门）
伙计听从看守的吩咐把所有牢房的门锁都解开了.但是在他报告后,看守改变了想法.看守重新吩咐：“回去,让奇数的牢房继续开着锁,但锁上所有偶数牢房的门.“（即1、3、5.号牢房保持不变,2、4、6.号房的门锁转一圈）
等伙计完成看守的第二次吩咐后,看守又改变主意了.这一回,看守要求伙计保留1、2号的门锁现状,再转一圈3好牢房的锁,依此类推继续下去.（也就是说3倍数的房子转一圈锁,其余房不变）
在这之后,看守不停地改变主意,最后,整个晚上,在看守的指示下,伙计转了一圈所有4倍数房号的牢房的锁、5倍数房号的牢房的锁、6倍数房号的牢房的锁.直至最后100倍数的牢房的锁.
问题是：当这一切结束,囚犯们醒来后,他们当中哪些人能够走出他们的牢房?
（也就是说,100个牢房中,哪几号房是处于开锁的状态的）】