TED-Ed: Can you solve the penniless pilgrim riddle? - Daniel Finkel

The video tutorial explores a pilgrimage to a temple in Duonia, a city with a unique tax system. The tax increases with each block walked east or south and decreases with each block walked north or west. The challenge is to reach the temple without owing any tax, while adhering to the rule of not walking the same block twice in any direction. The solution involves strategic counterclockwise loops to reduce the tax, ultimately allowing the pilgrim to reach the temple with a zero or negative tax balance, demonstrating that sometimes an indirect route is the best way to reach a destination.

What is the initial tax amount owed by a visitor upon entering Duonia?

• Six silver

• Four silver

• Eight silver

• Two silver

How does the tax change when a visitor walks one block east?

• It halves

• It increases by two silver

• It doubles

• It decreases by two silver

What is the effect of completing a clockwise loop around a block?

• It reduces the tax by one silver

• It increases the tax by one silver

• It doubles the tax

• It halves the tax

What is the result of completing a counterclockwise loop around a block?

• It reduces the tax by two silver

• It reduces the tax by one silver

• It increases the tax by two silver

• It increases the tax by one silver

What strategy allows the pilgrim to reach the temple without owing any tax?

• Walking directly east to the temple

• Completing multiple clockwise loops

• Walking directly south to the temple

• Taking a large counterclockwise loop through the city