1 gallon- Fill the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 5 gallons in the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 1 gallon in the 9 gallon bucket.
2 gallons - Fill the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 5 gallons in the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 1 gallon in the 9 gallon bucket. Pour it out to the 4 gallon bucket and do the process over again which makes 2 gallons of water.
3 gallons -
4 gallons - Fill up the 4 gallon bucket.
5 gallons - Fill the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 5 gallons in the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 1 gallon in the 9 gallon bucket. Then Fill up the 4 gallon bucket and pour it into the 9 gallon bucket, now creating 5 gallons.
6 gallons -
7 gallons -
8 gallons - Fill up the 4 gallon bucket and dump it in the 9 gallon bucket, then do the same again, thus making 8 gallons in the 9 gallon bucket.
9 gallons - Fill up the 9 gallon bucket.
10 gallons - Fill the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 5 gallons in the 9 gallon bucket. Pour 4 gallons into the 4 gallon bucket and pour it out. You now have 1 gallon in the 9 gallon bucket. Then pour the 1 gallon of water into the 4 and refill the 9 gallon bucket and this creates 10 gallons.
11 gallons -
12 gallons - Fill up the 4 gallon bucket and dump it in the 9 gallon bucket, then do the same again, thus making 8 gallons in the 9 gallon bucket, so then fill the 4 gallon bucket and then you'll have 12 gallons total. (8 in the 9 gallon bucket and 4 in the 4 gallon bucket)
13 gallons - Fill up the 4 gallon bucket and the 9 gallon bucket and all together you have 13 gallons.
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