You have three jars that hold max 19, 13 and 7 liters of water
respectively. 13 and 7 litre jars are full of water and 19 litre jar
is empty (so total 20 litres of water).
You can pour water between jars and I want two jars with 10
litres of water (ie 10, 10, 0 from 0, 13, 7)
10 comments:
Pour the 13 liters into 19 liter jar, then pour 7 liter jar contents into the 13 liter jar. Pour from the 19 liter jar into the 13 liter jar until they are equal.
19 13 7
------------------
0 13 7
13 0 7
19 0 1
19 1 0
12 1 7
12 8 0
5 8 7
5 13 2
18 0 2
18 2 0
11 2 7
11 9 0
4 9 7
4 13 3
17 3 0
10 3 7
10 10 0
This will work, too.
19...13....7
--------------
.0...13....7
.7...13....0
.7....6....7
14....6....0
14....0....6
.1...13....6
.1...12....7
.8...12....0
.8....5....7
15....5....0
15....0....5
.2...13....5
.2...11....7
.9...11....0
.9....4....7
16....4....0
16....0....4
.3...13....4
.3...10....7
10...10....0
It is very interesting game. I love to share this game with my friends.
You can also pour half of the 13L cup into the 19L cup by pouring until the water level of the 13L cup makes a diagonal across the cup (half the volume). This give you 6.5L in both of the larger cups. Do the same with the 7L cup, adding one half (3.5L) into the 19L cup and the remaining half into the 13L cup for 10L in each.
0 13 7
7 13 0
7 6 7
14 0 6
19 0 1
12 1 7
10 3 7
10 10 0
I guess this is the shortest way.........
0 13 7
19 1 0
12 1 7
12 8 0
5 8 7
5 13 2
18 0 2
18 2 0
11 2 7
11 9 0
4 9 7
4 13 3
17 0 3
17 3 0
10 3 7
10 10 0
and Prasad.. Please clarify how u jumped from 12 1 7 to 10 3 7 .. Even I have those two steps with 11 steps between them...
1) pour all water from 7 jar into 19 jar and pour 13 jar into 19 until full you should have 19 liters in one jar and 1 liter in the 13 liter jar. (19, 1, 0)
2) pour from 19 into 7. (12, 1, 7)
3) pour 7 into 13. (12, 8, 0)
4) pour 19 into 7. (5, 8, 7)
5) pour 7 into 13. (5, 13, 2)
6) pour 13 into 19. (18, 0 ,2)
7) pour 7 into 13. (18, 2, 0)
8) pour 19 into 7. (11, 2, 7)
9) pour 7 into 13. (11, 9, 0)
10) pour 19 into 7. (4, 9, 7)
11) pour 7 into 13 (4, 13, 3)
12) pour 13 into 19. (17, 0, 3)
13) pour 7 into 13. (17, 3, 0)
14) pour 19 into 7. (10, 3, 7)
15) pour 7 into 13. (10, 10, 0)
0,13,7
13,0,7
13,7,0
10,10,0
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