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Pouring water III.


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40 replies to this topic

#31 pendragon

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Posted 24 July 2008 - 01:10 AM

Damn... I thought 10 was good!

Spoiler for In 10...

Edited by pendragon, 24 July 2008 - 01:11 AM.

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#32 DancinDiva101514

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Posted 26 July 2008 - 09:51 PM

Pour once filling the 3 liter bowl then fill the 4 liter half way therefore having 2-2-3 with only 2 pours :D
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#33 Madbz5

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Posted 07 August 2008 - 06:42 PM

7 pours, as follows:

4-0-3
4-3-0
1-3-3
1-4-2
5-0-2
5-2-0
2-2-3
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#34 five0to180

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Posted 18 August 2008 - 02:18 AM

Spoiler for 4 pours

Edited by five0to180, 18 August 2008 - 02:19 AM.

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#35 five0to180

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Posted 18 August 2008 - 02:26 AM

Pouring water III. - Back to the Water and Weighing Puzzles
Having three bowls: 7, 4 and 3 litres capacity. Only the 7-litre is full. Pouring the fewest times gain the quantity of 2, 2 and 3 litres.


Spoiler for Solution


There is a better solution. See the solution I posted. There is no estimating involved (unless you're really stingy about what "estimate" means).
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#36 five0to180

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Posted 18 August 2008 - 03:23 PM

There is a better solution. See the solution I posted. There is no estimating involved (unless you're really stingy about what "estimate" means).


Actually, my solution makes the assumption that the bowls are homogeneous, which was not explicitly stated in the problem. If they aren't, then it's not possible to do step 2 without estimating.

Edited by five0to180, 18 August 2008 - 03:24 PM.

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#37 rookie1ja

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Posted 18 August 2008 - 03:35 PM

Actually, my solution makes the assumption that the bowls are homogeneous, which was not explicitly stated in the problem. If they aren't, then it's not possible to do step 2 without estimating.

exactly ... that would not work for various shapes ... nevertheless, good thinking
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#38 Poolsharky

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Posted 05 September 2008 - 07:12 PM

Done it in 5 pours (7, 4, 3 Litres respectively)

700 - 340 - 313 - 601 - 241 - 223

No half pours, no steps missed!


There is a missed step. From 313 to 601 you need to do 313 - 610 - 601

There are of course multiple solutions, but 6 pours is the best solution.
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#39 soppu

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Posted 06 October 2008 - 07:59 AM

Pouring water III. - Back to the Water and Weighing Puzzles
Having three bowls: 7, 4 and 3 litres capacity. Only the 7-litre is full. Pouring the fewest times gain the quantity of 2, 2 and 3 litres.


Spoiler for Solution


1) Pour 3L from 7L bowl to 3L bowl (4:0:3)
2) Pour this 3L from 3L bowl to 4L bowl (4:3:0)
3) Nw again pour 3L from 7L bowl to 3L bowl (1:3:3)
4) Nw pour frm 3L bowl to 4L bowl till 4L bowl is full i.e. pour 1L (1:4:2)
5) Nw pour whole 4L from 4L bowl to 7L bowl (5:0:2)
6) Nw pour the 2L from 3L bowl to 4L bowl (5:2:0)
7) Nw finally, again pour 3L from 7L bowl to 3L bowl (2:2:3)

Hence done :rolleyes:
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#40 MaZa

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Posted 14 June 2010 - 09:24 AM

6.

#   7:7 | 4:0 | 3:0
===================
1]  7:3 | 4:4 | 3:0
-------------------
2]  7:3 | 4:1 | 3:3
-------------------
3]  7:6 | 4:1 | 3:0
-------------------
4]  7:6 | 4:0 | 3:1
-------------------
5]  7:2 | 4:4 | 3:1
-------------------
6]  7:2 | 4:2 | 3:3

Edited by MaZa, 14 June 2010 - 09:24 AM.

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