Brain Teasers
Madadian Combined Cheese and Dog Show
Mad Ade, Daft Derrick, Sue Denim, two pieces of Madadian "Kebabrie" Cheese, two pieces of Madadian "Chillirella" Cheese, and "Beef Curry" the dog were on their way to the annual Madadian combined Cheese and Dog show (it's Madadian, these things happen).
Mad Ade's "Kebabretta" scooter can only carry two objects at a time.
Mad Ade, Daft Derrick and Sue Denim can all drive the scooter. If Mad Ade is not around, Daft Derrick will eat the "Kebabrie"; if Daft Derrick is not around, Mad Ade will eat the "Chillirella". If Sue Denim is not around, "Beef Curry" will eat the cheese and bite Mad Ade and Daft Derrick.
Can they all get to the Cheese/Dog show without anything bad happening?
If so, what's the smallest number of trips needed (each way counts as one trip)?
Mad Ade's "Kebabretta" scooter can only carry two objects at a time.
Mad Ade, Daft Derrick and Sue Denim can all drive the scooter. If Mad Ade is not around, Daft Derrick will eat the "Kebabrie"; if Daft Derrick is not around, Mad Ade will eat the "Chillirella". If Sue Denim is not around, "Beef Curry" will eat the cheese and bite Mad Ade and Daft Derrick.
Can they all get to the Cheese/Dog show without anything bad happening?
If so, what's the smallest number of trips needed (each way counts as one trip)?
Answer
Yes, they can do it, and the smallest number of trips is 17. There are essentially two ways of doing this in 17 steps. One way is:Sue Denim and "Beef Curry"; Sue Denim; Sue Denim and "Kebabrie"; Sue Denim and "Beef Curry"; Mad Ade and "Kebabrie"; Mad Ade; Daft Derrick and Mad Ade; Daft Derrick; Sue Denim and "Beef Curry"; Mad Ade; Daft Derrick and Mad Ade; Daft Derrick; Daft Derrick and "Chillirella"; Sue Denim and "Beef Curry"; Sue Denim and "Chillirella"; Sue Denim; Sue Denim and "Beef Curry".
The other method is to do this in reverse. Another way of looking at it is that we're swapping "Kebabrie" and "Chillirella", Daft Derrick and Mad Ade, since from the point of view of the other restrictions this changes nothing.
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