While strolling by way of the forest, on the best way to admit to your crush, you encounter an previous home. Outside of this home is an previous, broken Brazen Head, with a swiftly wired coin-slot appended beside it. You’d wish to know the way your crush feels earlier than asking them, so you are taking out your coin-purse

But, earlier than you possibly can sacrifice your hard-earned pocket change to the Head, you discover a quite spirited dialogue scrawled on the wall of the home. Reading this, you study:

• Due to break, the Head wants a few pint of its nectar to reply one query, which is unlucky because the leaky tank holds solely 3 pints in whole. Overfilling the tank will make it spill out and harm the machine (and your footwear)

• The corroded pipes and poorly-made pump trigger the Head to behave in a different way with completely different gasoline ranges

  • When crammed to three pints it manages to offer a truthful reply to yes-no questions, in any other case conserving silent

  • When it is right down to 2 pints it’s going to solely lie and attempt to reply unanswerable questions

  • When on its final pint it will give out random solutions

  • Once it is empty it will not say something in any respect

• The Head is way faster when a query is repeated than when a brand new query is loaded in

• The tins piled beside the Head are pint-sized and comprise nectar to gasoline the Head. They are additionally free to make use of, however quite brief in provide

• The Head should not be refilled whereas it is working, however between questions it is completely secure

You cannot inform how a lot gasoline it already has, and you do not need to waste cash on pointless questions. How many questions should you ask (within the worst case) in an effort to replenish the Brazen Head to three pints with out overfilling it? A bonus if you can too use the least gasoline and ask the fewest distinct questions