$$A$$ had some cookies. When $$A$$ divided the cookies among $$3$$ friends, she had $$1$$ cookie left. When $$A$$ divided the cookies among $$4$$ friends, she had $$3$$ cookies left. When $$A$$ divided the cookies among $$5$$ friends, she had $$4$$ cookies left. What was the least number of cookies that $$A$$ had? 
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