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# puzzle - water jar

Ranch Hand
Posts: 3850
• • • • You have three jars that hold max 19, 13 and 7 liters of water respectively and 20 liters of water in them (not unlimited). I want two jars with 10 liters of water.

Ranch Hand
Posts: 210
• • • • Dude,I used to solve these puzzled in early 90s.Later these kind of puzzles disappeared from scene somehow.I will give it a try in tea break at 4 PM. Greenhorn
Posts: 5
• 1
• • • • Here you go. I did it in 14 steps. I don't know if it can be done in fewer.

I will label the 3 jars j1, j2 and j3.
j1 holds 19 litres
j2 holds 13 litres
j3 holds 7 litres

I am starting off by filling j1 full (19 litres) and putting the remaining litre in j2, so I have this makeup

j1 = 19
j2 = 1
j3 = 0

Step 1 Fill j3
j1 = 12
j2 = 1
j3 = 7

Step 2 put j3 in j2
j1 = 12
j2 = 8
j3 = 0

Step 3 fill j3
j1 = 5
j2 = 8
j3 = 7

Step 4 fill j2 with j3
j1 = 5
j2 = 13
j3 = 2

Step 5 put j2 into j1
j1 = 18
j2 = 0
j3 = 2

Step 6 put j3 into j2
j1 = 18
j2 = 2
j3 = 0

Step 7 fill j3
j1 = 11
j2 = 2
j3 = 7

Step 8 put j3 into j2
j1 = 11
j2 = 9
j3 = 0

Step 9 fill j3
j1 = 4
j2 = 9
j3 = 7

Step 10 fill j2 with j3
j1 = 4
j2 = 13
j3 = 3

Step 11 put j2 in j1
j1 = 17
j2 = 0
j3 = 3

Step 12 put j3 into j2
j1 = 17
j2 = 3
j3 = 0

Step 13 fill j3
j1 = 10
j2 = 3
j3 = 7

Step 14 put j3 into j2
j1 = 10
j2 = 10
j3 = 0

Ranch Hand
Posts: 3389   • • • • Ryan you rock  Greenhorn
Posts: 3
• • • • Am trying to make it to 14 steps
j1 = 19
j2 = 1
j3 = 0

-------------
j1 = 12
j2 = 1
j3 = 7
----------------
put j3 in j2
j1 = 12
j2 = 8
j3 = 0
-----------
fill j3
j1 = 5
j2 = 8
j3 = 7
--------------
fill j2 with j3
j1 = 5
j2 = 13
j3 = 2
-----------------
put j2 into j1
j1 = 18
j2 = 0
j3 = 2
-----------
put j3 into j2
j1 = 18
j2 = 2
j3 = 0
--------------
fill j3
j1 = 11
j2 = 2
j3 = 7
--------------
j3 into j2
j1 = 11
j2 = 9
j3 = 0
--------------
fill j3
j1 = 4
j2 = 9
j3 = 7
--------------
fill j2 with j3
j1 = 4
j2 = 13
j3 = 3
--------------
put j2 in j1
j1 = 17
j2 = 0
j3 = 3
--------------
put j3 into j2
j1 = 17
j2 = 3
j3 = 0
--------------
fill j3
j1 = 10
j2 = 3
j3 = 7
--------------
put j3 into j2
j1 = 10
j2 = 10
j3 = 0
--------------
Rammy Rocks

Rajaraman Sriraman
Greenhorn
Posts: 3
• • • • j1 = 12
j2 = 1
j3 = 7

Step 2 put j3 in j2
j1 = 12
j2 = 8
j3 = 0

Step 3 fill j3
j1 = 5
j2 = 8
j3 = 7

Step 4 fill j2 with j3
j1 = 5
j2 = 13
j3 = 2

Step 5 put j2 into j1
j1 = 18
j2 = 0
j3 = 2

Step 6 put j3 into j2
j1 = 18
j2 = 2
j3 = 0

Step 7 fill j3
j1 = 11
j2 = 2
j3 = 7

Step 8 put j3 into j2
j1 = 11
j2 = 9
j3 = 0

Step 9 fill j3
j1 = 4
j2 = 9
j3 = 7

Step 10 fill j2 with j3
j1 = 4
j2 = 13
j3 = 3

Step 11 put j2 in j1
j1 = 17
j2 = 0
j3 = 3

Step 12 put j3 into j2
j1 = 17
j2 = 3
j3 = 0

Step 13 fill j3
j1 = 10
j2 = 3
j3 = 7

Step 14 put j3 into j2
j1 = 10
j2 = 10
j3 = 0

Rajaraman Sriraman
Greenhorn
Posts: 3
• • • • ok

Marshal Posts: 69403
276
• • • • Welcome to JavaRanch and sorry I didn't notice you earlier. Ranch Hand
Posts: 750
• • • • I'm missing something, why not just pour 10 litres in j1, and 10 litres in j2?

Campbell Ritchie
Marshal Posts: 69403
276
• • • • You have no way of measuring 10. Only 7, 13 and 19. Rancher
Posts: 1196
22
• • • • Since this is the Programming Diversions forum, would anyone care to discuss how you'd go about programming a solution to this type of puzzle? Do you want ants? Because that's how you get ants. And a tiny ads: Devious Experiments for a Truly Passive Greenhouse! https://www.kickstarter.com/projects/paulwheaton/greenhouse-1