Candle Timers

Logic Level 3

The Busy Beeswax Candle Company ("Perfect Precision since 1689") sells only one kind of candle: a very remarkable candle that is guaranteed to burn up in exactly one hour. Unfortunately, these high-precision candles don't burn at a steady pace, so it's no use cutting them into parts to measure out shorter spans. However, they do burn from both ends, a trick which you can use to measure out exactly half an hour, even though the two flames might not meet in the middle.

How many candles do you need to measure out 1 hour and 15 minutes exactly?

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