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Can you solve the fortress riddle? - Henri Picciotto

1.2M views
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May 31, 2022
by
TED-Ed
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Can you solve the fortress riddle? - Henri Picciotto

TL;DR

Using a mathematical sieve technique, find the longest wall segment that siege weapons can’t destroy to protect a sacred dino herd.

Transcript

Bad news: your worst enemies are at the gate. For your fledgling kingdom guards the world’s only herd of tiny dino creatures. To you, they’re sacred. To everyone else, they’re food. The three closest nation-states have all teamed up in what they call an alliance of the hungry to smash open your walls and devour the herd. Your fortifications wil... Read More

Key Insights

  • 👊 Different nation-states with specific wall-buster sizes are attacking a kingdom with a sacred dino herd.
  • #️⃣ Understanding prime numbers and the sieve of Eratosthenes technique to protect the kingdom’s walls.
  • 🤔 Employing strategic thinking to determine the longest wall segment that can withstand attacks.
  • 🌍 Using mathematical concepts to solve real-world problems like wall defense strategies.
  • ⌛ The importance of strategic planning and efficient problem-solving in times of crisis.
  • ❓ Protection of vital resources through effective defensive strategies.
  • 🥳 Utilizing historical mathematical techniques in modern-day scenarios for practical applications.

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Questions & Answers

Q: How can the sieve of Eratosthenes technique be applied to protect the kingdom's walls?

The sieve identifies vulnerable numbers to the wall-busters, eliminating possible wall lengths that can be destroyed.

Q: Why is the number 43 determined to be the largest wall segment that enemies can't destroy?

43 is determined to be safe as it falls in a column where combinations of wall-buster sizes above it can’t destroy it.

Summary & Key Takeaways

  • Three nation-states are forming an alliance to break down your kingdom's walls to access a sacred dino herd.

  • Each kingdom has specific wall-buster sizes that can be combined to take down wall segments.

  • Use the sieve of Eratosthenes technique to determine the longest wall segment to protect the dino herd.


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