The helpful puzzle solver was Dale Copeland from Okato (New Zealand). Kani Lulu is very grateful for Misses Copeland's help so a first price is awarded to her. If you find an better strategy for Kani Lulu's problem you still can send it to me.
Two times, take 100 and travel 20 km, leaving 60 bananas there. Then take 100, travel 20, pick up 20, travel 33.33333, and leave 33.33333. Return to your pile of bananas, pick up the 100 there, travel 33.3333, pick up 33.3333 and head for the palace. You have 46.66666 km to travel, so will arrive with 53.33333 bananas, and the camel can not get home. I hope the king Kulima is happy enough.
Her only comment about this problem: »Kani Lulu should buy a truck!«. For the last problem king Kulima's prince had a lot of pity with Kani Lulu so she gave a lot of food to his camel and both Kani Lulu and his camel could stay in the castle for the next night. We all hope that Kani Lulu's business is going better so once later he can sell his camel to a butcher to processing in some meat and buy a truck for the banana transport.
action | number of bananas at the wayside | way position [kilometres] | Number of charged bananas | |||
---|---|---|---|---|---|---|
plantage | 20 km away | 53 1/3 km away | castle | |||
(start situation) | 300 | 0 | 0 | 0 | 0 | 0 |
pick up 100 bananas | 200 | 0 | 0 | 0 | 0 | 100 |
go forward 20 km | 200 | 0 | 0 | 0 | 20 | 80 |
release 60 bananas | 200 | 60 | 0 | 0 | 20 | 20 |
go back 20 km | 200 | 60 | 0 | 0 | 0 | 0 |
pick up 100 bananas | 100 | 60 | 0 | 0 | 0 | 100 |
go forward 20 km | 100 | 60 | 0 | 0 | 20 | 80 |
release 60 bananas | 100 | 120 | 0 | 0 | 20 | 20 |
go back 20 km | 100 | 120 | 0 | 0 | 0 | 0 |
pick up 100 bananas | 0 | 120 | 0 | 0 | 0 | 100 |
go forward 20 km | 0 | 120 | 0 | 0 | 20 | 80 |
pick up 20 bananas | 0 | 100 | 0 | 0 | 20 | 100 |
go forward 33 1/3 km | 0 | 100 | 0 | 0 | 53 1/3 | 66 2/3 |
release 33 1/3 bananas | 0 | 100 | 33 1/3 | 0 | 53 1/3 | 33 1/3 |
go back 33 1/3 km | 0 | 100 | 33 1/3 | 0 | 20 | 0 |
pick up 100 bananas | 0 | 0 | 33 1/3 | 0 | 20 | 100 |
go forward 33 1/3 km | 0 | 0 | 33 1/3 | 0 | 53 1/3 | 66 2/3 |
pick up 33 1/3 bananas | 0 | 0 | 0 | 0 | 53 1/3 | 100 |
go forward rest of way | 0 | 0 | 0 | 0 | 100 | 53 1/3 |
give the remaining bananas to the king | 0 | 0 | 0 | result: 53 1/3 | 100 | 0 |
Go back to the problem situation