Tina started her trip from city $$A$$. She went east for $$15\text{km}$$, then went north for $$3 \text{km}$$. After that she went west for $$9\text{km}$$. Finally, she went north for $$5 \text{km}$$ to end her trip at city $$B$$. What is the shortest distance, in $$\text{km}$$, from city $$A$$ to city $$B$$? 
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