You have 2 barrels. Each with 10 liters full of milk. Also you have 2 empty buckets. One with 5 Liters capacity and the other with 4 Liters. Now, I want tho have 2 liters of milk in each bucket.
That is my lack of English. I'll try my best.[:$] In that problem, I don't have any other element to achieve the objective. And this is: move milk from full barrels to empty buckets severals time, to finally have 2 liters in each bucket. There is no limit in those moves. Is a real problem and, of course, severals solutions. (min steps win).
Some help to know what is the objective: B(10L) B(10L) Bu(5L) Bu(4L) 10F 10F 0F 0F .............. Any valid move from and between B and Bu. All moves you want. .............. ?F ?F 2F 2F Final: 2L in Bu(5L) and 2L in Bu(4L) Any question?.
[quote user="Luis Martin"] Some help to know what is the objective: B(10L) B(10L) Bu(5L) Bu(4L) 10F 10F 0F 0F .............. Any valid move from and between B and Bu. All moves you want. .............. ?F ?F 2F 2F Final: 2L in Bu(5L) and 2L in Bu(4L) Any question?. [/quote] Fill Bu(4L) from B(10L) Now B(10L) B(10L) Bu(5L) Bu(4L) 6F 10F 0F 4F Take half of Bu(4L) and fill it in Bu(5L) Now B(10L) B(10L) Bu(5L) Bu(4L) 6F 10F 2F 2F
Madhivanan, Nice try, but "Take half of Bu(4L) and fill it in Bu(5L)" - assuming there are no markings on the buckets and barrels, you can't measure half of a bucket ...
14 steps - if emptying buckets is allowed! (1) Fill Bu(4L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 6F 10F 0F 4F (2) Fill Bu(5L) from Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 6F 10F 4F 0F (3) Fill Bu(5L) from B2(10L) B1(10L) B2(10L) Bu(5L) Bu(4L) 6F 9F 5F 0F (4) Fill Bu(4L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 9F 5F 4F (5) Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 9F 5F 0F (6) Fill Bu(4L) from B2 B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 5F 5F 4F (7)Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 5F 5F 0F (8) Fill Bu(4L) from B2 B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 1F 5F 4F (9) Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 1F 5F 0F (10) Fill Bu(4L) from Bu(5L) B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 1F 1F 4F (11) Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 1F 1F 0F (12) Fill Bu(4L) from Bu(5L) B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 1F 0F 1F (13) Fill Bu(4L) from B2 B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 0F 0F 2F (14) Fill Bu(5L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 0 0F 2F 2F
No need to go 14 steps.......With in 10 steps..... (1) Fill Bu(4L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 6F 10F 0F 4F (2)Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 6F 10F 0F 0F (3) Fill Bu(4L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 10F 0F 4F (4)Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 2F 10F 0F 0F (5) Fill Bu(5L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 0F 10F 2F 0F (6) Fill Bu(4L) from B2 B1(10L) B2(10L) Bu(5L) Bu(4L) 0F 6F 2F 4F (7)Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 0F 6F 2F 0F (8) Fill Bu(4L) from B2 B1(10L) B2(10L) Bu(5L) Bu(4L) 0F 2F 2F 4F (9)Empty Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 0F 2F 2F 0F (10) Fill Bu(4L) from B2 B1(10L) B2(10L) Bu(5L) Bu(4L) 0F 10F 2F 2F Any other way is there let me know.........
No. You don't have any way to measure half, or any other measure from B or Bu. I forgot to mention that. Sorry.
Adriann, my answer where written at the same time you were written. Was for Madhi. Anyway you can't throw any milk outside. Always you have to have 20 Liters in any step.
Finally i got the answer. Let check it is satisfied or not......... (1) B(10L) B(10L) Bu(5L) Bu(4L) 10F 10F 0F 0F (2) Fill Bu(5L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 5F 10F 5F 0F (3) Fill Bu(4L) from Bu(5L) B1(10L) B2(10L) Bu(5L) Bu(4L) 5F 10F 1F 4F (4) Fill B1 from Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 9F 10F 1F 0F (5) Fill Bu(4L) from Bu(5L) B1(10L) B2(10L) Bu(5L) Bu(4L) 9F 10F 0F 1F (6) Fill Bu(5L) from B1 B1(10L) B2(10L) Bu(5L) Bu(4L) 4F 10F 5F 1F (7) Fill Bu(4L) from Bu(5L) B1(10L) B2(10L) Bu(5L) Bu(4L) 4F 10F 2F 4F (8) Fill B1 From Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 8F 10F 2F 0F (9) Fill Bu(4L) from B2 B1(10L) B2(10L) Bu(5L) Bu(4L) 8F 6F 2F 4F (10) Fill B1 From Bu(4L) B1(10L) B2(10L) Bu(5L) Bu(4L) 10F 6F 2F 2F
Congrats Monthi!!!![] And that is the minimun steps, as far I know. I'll be back next friday with a new one.[]
<P mce_keep="true">[quote user="Luis Martin"] <P>Congrats Monthi!!!!<IMG alt=Smile src="http://sql-server-performance.com/Community/emoticons/emotion-1.gif"></P><P>And that is the minimun steps, as far I know.</P><P mce_keep="true"> </P><P>I'll be back next friday with a new one.<IMG alt="Big Smile" src="http://sql-server-performance.com/Community/emoticons/emotion-2.gif"></P><P>[/quote]</P><P>Many more interesting Quizes here</P><P><A href="http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=47264">http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=47264</A></P>