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   Author  Topic: River Crossing (I)  (Read 1183 times)
ThudnBlunder
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River Crossing (I)  
« on: Jun 1st, 2003, 4:05am »
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Three soldiers have to cross a river without a bridge. Two boys with a boat agree to help the soldiers, but the boat is so small it can support only one soldier or two boys. A soldier and a boy can't be in the boat at the same time for fear of sinking it. Given that none of the soldiers can swim, it would seem that in these circumstances just one soldier could cross the river. Yet all three soldiers eventually end up on the other bank and return the boat to the boys. How do they do it?
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Re: River Crossing (I)  
« Reply #1 on: Jun 1st, 2003, 6:01am »
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Are the boys allowed to swim ?
 
Failing that:

Boy 1 is dropped off on the far bank.
Boy 2 rows back.
Soldier 1 rows to the far side.
Boy 1 rows to the near side.
Boy 2 gets in, and both row to the far side.
Return to step 1, and repeat for the other soldiers.
« Last Edit: Jun 1st, 2003, 6:05am by WombatDeath » IP Logged
ThudnBlunder
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Re: River Crossing (I)  
« Reply #2 on: Jun 1st, 2003, 6:27am »
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Quote:
Are the boys allowed to swim ?  

Nyet.
 
« Last Edit: Jun 1st, 2003, 11:24am by ThudnBlunder » IP Logged

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TenaliRaman
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Re: River Crossing (I)  
« Reply #3 on: Jun 1st, 2003, 7:02am »
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Let us call the boys as B1 and B2,
the soldiers as S1,S2 and S3,
and the banks as bank1 and bank2.
 
Situation :
At bank1 : B1,B2,S1,S2,S3  
At bank2 : nobody
 
1>Boys B1 and B2 go from bank1 to bank2.Boy B2 is dropped off at bank2 and boy B1 returns.
 
Situation :
At bank1 : B1,S1,S2,S3
At bank2 : B2
 
2>Soldiers S1 takes the boat and goes to bank2.From there boy B2 takes the boat and comes to bank1.
 
Situation :  
At bank1 : B1,B2,S2,S3
At bank2 : S1
 
3> Repeat Step 1.
 
Situation :  
At bank1 : B1,S2,S3
At bank2 : S1,B2
 
3>Soldiers S2 takes the boat and goes to bank2.From there boy B2 takes the boat and comes to bank1.
 
Situation :  
At bank1 : B1,B2,S3
At bank2 : S1,S2
 
4>Repeat Step 1.
 
Situation :  
At bank1 : B1,S3
At bank2 : S1,S2,B2
 
5>Soldiers S3 takes the boat and goes to bank2.From there boy B2 takes the boat and comes to bank1.
 
Situation :  
At bank1 : B1,B2
At bank2 : S1,S2,S3
 
This is the answer unless i have made any mistake in understanding the question.
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Re: River Crossing (I)  
« Reply #4 on: Jun 1st, 2003, 1:50pm »
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As a matter of fact, the boys can use the same method to ferry any number of soldiers across, although it may take a while.
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