~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-
~3 gallons- fill up the 4 gallon bucket and pour it into the 3 gallons in the 4 gallon bucket
~4 gallons- fill up the 4 gallon bucket
~5 gallons- fill the 9 gallon bucket. Use the 9 gallon bucket and fill the 4 gallon bucket, pour the 4 gallon bucket out and u will have 5 gallons in the 9 gallon bucket left.
~6 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. Pour that gallon in the 4 gallon bucket and fill up the 9 gallon bucket again pour the rest of that into the 4 gallon bucket then you will have 6 gallons in the 9 gallon bucket.
~7 gallons-
~8 gallons- fill the 4 gallon bucket up and fill the 9 gallon bucket up with that water twice.
~9 gallons- fill the 9 gallon bucket up
~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 the 1 gallon into the 4 gallon bucket then fill up the 9 gallon bucket and you have 10.
~12 gallons- Fill the 4 gallon bucket up and pour it into the 9 gallon bucket twice.
~13 gallons- Fill both the 4 gallon and 9 gallon bucket up.