Assume that a 4000-bp long circular DNA plasmid has two HindIII sites at coordinate 1 and 801.  If we digest this circular DNA plasmid with BamHI, we obtain 500 bp, 1400 bp, and 2100 bp DNA fragments.  If we perform HindIII/BamHI double digestion with this circular plasmid, we obtain 200 bp, 500 bp, 600 bp, 1200 bp, and 1500 bp DNA fragments.  From above information, please interpret the location of BamHI sites.

(1) How many BamHI sites are there in this circular plasmid?

(2) Where are those BamHI sites? Please draw the map.