3,5升杯

有空想想 · 发表于 2006-1-21 23:51:07

你有一个大容器里有10升水，和可刚好盛3，5升水的杯子各一个。容器杯子均无刻度。

问题，你如何只用这三个容器，从那10升水里取水，让两个杯子里各有一升水？（不许浪费一滴水哟）

本贴由[有空想想]最后编辑于：2006-1-21 15:54:25

99-99 · 发表于 2006-1-22 07:29:08

用3升杯取水，倒入5升杯；再取一杯水倒入5升杯，自剩1升，做一记号。

将5升杯倒空，3升杯倒入5升杯；

按记号自取一升

有空想想 · 发表于 2006-1-22 07:41:29

不许做记号，没给条件做记号。

99-99 · 发表于 2006-1-22 07:42:35

My IQ 159 · 发表于 2006-1-22 09:46:41

I used to write a small program to solve 3 Water Jug problem. Some water jug problem needed minimum 98 steps to solve, I remember that. I could take the java program out to solve it. But here I want to challenge my mental ability here.

My IQ 159 · 发表于 2006-1-22 10:41:10

Here I assume you only allow to pour the water not allow to do other tricky actions, such as marking, eye measuring, or bla bla bla

I think if you pour a water from A jug to B jug, only two results will come out.www.ddhw.com

Jug A is empty and Jug B must have all the water which originates from A and B. If water A + water B <= Capacity of Jug B.
A is not empty and B must be full. if water A + water B > Capacity of B.

Not other possible results. The extended conclusion is that, if you pour the water between two jugs, one must either be empty or full afterward.

Since Capacity A = 3, Capacity B = 5, Capacity C >= 10, if you need 1 in A, 1 in B and 8 in C, it is impossible to get such result, due to my above analysis. None of water jugs is either empty or full. So it is impossible to get such combination.

有空想想 · 发表于 2006-1-22 21:49:08

10 - 0 - 0
7 - 3 - 0
7 - 0 - 3
4 - 3 - 3
4 - 1 - 5
4 - 1 - 0 （喝掉5升水，原题是酒，估计喝过5升酒后，人就晕了，做不下去了）
4 - 0 - 1
1 - 3 - 1
1 - 0 - 1 （再喝掉3升）
0 - 1 - 1

看，没浪费一滴水吧，至于以后跑厕所的事，偶就不管了。www.ddhw.com

My IQ 159 · 发表于 2006-1-22 22:51:22

In my analysis, I already said assume no tricky thing.

有空想想 · 发表于 2006-1-23 00:46:04

The original problem is here. I simply changed wine to water, and translated English into Chinese.

I believe the only trick, if we call it a trick, is we should understand "without wasting any wine" correctly.

Jean-Pierre has a big wine-vat with 10 liters of wine in it, and two wine-jugs which can hold exactly 3 and 5 liters of wine respectively.www.ddhw.com

Q: How can he get one liter of wine in each wine-jug without wasting any wine? (The jugs contain no measure bars or something)
A: These are the different stages of the wine-vat, the 3-litre-jug and the 5-litre-jug respectively:
1) 10 - 0 - 0
2) 7 - 3 - 0
3) 7 - 0 - 3
4) 4 - 3 - 3
5) 4 - 1 - 5
6) 4 - 1 - 0
7) 4 - 0 - 1
8) 1 - 3 - 1
9) 1 - 0 - 1
10) 0 - 1 - 1
In stages 5 and 8 Jean-Pierre drinks a sum of 8 liters of wine.

那些花儿 · 发表于 2006-1-23 02:23:49

真的很tricky，昨晚我做了一个晚上，也觉得不可能同时有一升

还以为自己没想到位

[

有空想想 · 发表于 2006-1-23 02:36:37

偶就讨厌那种答案明确，死算就出结果的题。所以捡些好玩的题与大家分享。别太认真呦。

那些花儿 · 发表于 2006-1-23 02:46:23

哈哈，昨天还拖了家人一起做

晕乎

My IQ 159 · 发表于 2006-1-23 10:02:33

Tell me it was Wine I will drink it.

[:D)

有空想想 · 发表于 2006-1-23 16:54:07

(kidding)

My IQ 159 · 发表于 2006-1-24 00:16:54

Good Consideration for players

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3,5升杯

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[:((][:((][:((]

It is similar to one of my project[:)][:E][:E][:E]

I might be wrong but...[:%][:%][:%]

答案。。。。

I know you will do some tricky thing[:%][:%][:%]

There is no tricks at all. Here is original Q & A.

真的很tricky，昨晚我做了一个晚上，也觉得不可能同时有一升[:%]还以为自己没想到位[:((][

你肯定是喝足了水，不渴。所以想不到喝水。话说回来，没点创意的题多没意思呀，是不？[;)]

哈哈，昨天还拖了家人一起做[:E]晕乎

[:%]Tell me it was Wine I will drink it. [:D)][:D)

I am afraid you are under 21 [:D)][:D)]. So ...

Good Consideration for players[:)][:)][:)]