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 gallon- fill up the 4 gallon bucket and pour out 2 gallons out
3 gallon- fill up the 4 gallon bucket and pour 1 gallon out
4 gallon- fill up the 4 gallon bucket
5 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. fill the 4 gallon bucket and pour it in the 9 gallon bucket you know have 5 gallons.
6 gallon- fill up the 4 gallon bucket. pour the 4 gallons into the 9 gallon bucket. Fill the 4 gallon bucket up to 2 gallons now you should have 6 gallons
7 gallon- Fill up the 9 gallon bucket pour 2 gallons into the 4 gallon bucket
8 gallon- Fill up the 9 gallon bucket and dump 1 gallon into the 4 gallon bucket
9 gallon- Fill up the 9 ballon bucket
10 gallon- Fill up the 9 gallon bucket pour 4 gallons of the 9 gallon bucket into the 4 gallon bucket, you have 5 gallons in the 9 gallon bucket so add 1 more gallon into the 9 gallon
11 gallon- Fill up the 9 gallon bucket and fill up the 4 gallon bucket dump half of the 4 gallon bucket and you now have 11 gallons all together.
12 gallon- fill up both the 9 and 4 gallon bucket and pour 1 gallon out of the 4 gallon bucket
13 gallon- Fill up the 9 gallon bucket and the 4 gallon bucket together you have 13 gallons
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