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Pour both the 7 and the 13 into the 19, then pour half of the total of that into the 13.

Good try, and you're close, but if you poured both the 13 and 7 (13+7=20) you would lose 1 liter of water. Unless you want to be the one cleaning up after this (got your towel) then I would try it this way:

pour the 7 liters into the 19 liter container. Then pour 3 liters from the 13 liter container into the 19 liter container, which now contains 7 liters. Of course, it isn't easy to just pour an even 3 liters, so just pour and check the heights of both until they are equal.

2 moves, solved.

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three jars with different capacities, 19 Liters (empty), 13 Liters (full of water), 7 Liters (full of water).

how can I get two jars with 10 liters of water in a shortest way?

the jars do not have scale.

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Good try, and you're close, but if you poured both the 13 and 7 (13+7=20) you would lose 1 liter of water. Unless you want to be the one cleaning up after this (got your towel) then I would try it this way:

pour the 7 liters into the 19 liter container. Then pour 3 liters from the 13 liter container into the 19 liter container, which now contains 7 liters. Of course, it isn't easy to just pour an even 3 liters, so just pour and check the heights of both until they are equal.

2 moves, solved.

but the jars do not have scale.

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I am not sure this is posted before but anyway below:

Let A(19 L), B(13L) and C(7L)

Step...............A..........B..........C

Initial..............0..........13.........7

1 (C to A) .......7..........13........0

2 (B to A) ......19..........1.........0

3 (A to C) ....12...........1.........7

4 (C to B)......12...........8.........0

5 (A to C)........5...........8.........7

6 (C to B) .......5..........13........2

7 (B to A) ......18...........0........2

8 (C to B).......18..........2.........0

9 (A to C).......11..........2.........7

10 (C to B)......11.........9.........0

11 (A to C).......4..........9.........7

12 (C to B).......4........13.........3

13 (B to A).....17..........0.........3

14 (C to B).....17..........3.........0

15 ( A to C)....10..........3.........7

16 (C to B).....10........10.........0

there are 16 steps minimum. :)

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I am not sure this is posted before but anyway below:

Let A(19 L), B(13L) and C(7L)

Step...............A..........B..........C

Initial..............0..........13.........7

1 (C to A) .......7..........13........0

2 (B to A) ......19..........1.........0

3 (A to C) ....12...........1.........7

4 (C to B)......12...........8.........0

5 (A to C)........5...........8.........7

6 (C to B) .......5..........13........2

7 (B to A) ......18...........0........2

8 (C to B).......18..........2.........0

9 (A to C).......11..........2.........7

10 (C to B)......11.........9.........0

11 (A to C).......4..........9.........7

12 (C to B).......4........13.........3

13 (B to A).....17..........0.........3

14 (C to B).....17..........3.........0

15 ( A to C)....10..........3.........7

16 (C to B).....10........10.........0

there are 16 steps minimum. :)

right, but I'm not sure this is the shortest way?

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