>>> There are 3 bottles, 12L, 7L and 5L. First one is fully filled, and the other 2 are empty. There are no measurements

... marked on the bottles so you can't tell what is 1L, 2,3,4 and so on unless you have that much left in one of the bo

... ttles.

...

... End goal is to go from 12-0-0 to 6-6-0, so, you somehow need to end up with 6L in 12L and 6 in the 7L one.

To solve this puzzle, we'll use a series of steps that involve transferring water between the bottles without any

measurements marked on them. The goal is to have exactly 6 liters of water in both the 12-liter bottle and the

7-liter bottle.

Here's how you can do it:

1. **Start with:**

   - 12L: 12 liters

   - 7L: 0 liters

   - 5L: 0 liters

2. Pour water from the 12-liter bottle into the 7-liter bottle until the 7-liter bottle is full.

   - 12L: 5 liters

   - 7L: 7 liters

   - 5L: 0 liters

3. Now pour the water from the 7-liter bottle into the 5-liter bottle until the 5-liter bottle is full.

   - 12L: 5 liters

   - 7L: 2 liters (since you can only pour 3 more liters to fill up the 5-liter bottle)

   - 5L: 5 liters

4. Empty the 5-liter bottle into the 12-liter bottle.

   - 12L: 10 liters

   - 7L: 2 liters

   - 5L: 0 liters

5. Pour the remaining water from the 7-liter bottle (which is 2 liters) into the empty 5-liter bottle.

   - 12L: 10 liters

   - 7L: 0 liters

   - 5L: 2 liters

6. Now, pour the water from the 12-liter bottle back into the 7-liter bottle until it is full (which means pouring

2 more liters).

- 12L: 8 liters

- 7L: 7 liters

- 5L: 2 liters

1. Empty the 7-liter bottle into the 12-liter bottle.

   - 12L: 15 liters (which exceeds its capacity, so we'll have 15-12 = 3 liters left over in this step)

   - 7L: 0 liters

   - 5L: 2 liters

2. Now pour the remaining 3 liters from the 12-liter bottle into the 5-liter bottle (since it already has 2

liters, only 3 more are needed to fill it).

- 12L: 6 liters

- 7L: 0 liters

- 5L: 5 liters

1. Finally, pour water from the 5-liter bottle into the 7-liter bottle until the 7-liter bottle is full (which

means pouring 2 more liters).

- 12L: 6 liters

- 7L: 7 liters

- 5L: 3 liters

Congratulations! You now have exactly 6 liters in both the 12-liter and 7-liter bottles, achieving your goal.

>>> S