Today, the King was having another discussion. However, he was not speaking with Knight but with Jester. He said, “Jester, I have a problem only you can solve.” Jester was filled with excitement and eagerly awaited his next sentence. “I have a 231 marbles.” The King continued, “and I want to put them in bags. However, I want to be as inefficient as possible and use the greatest numbers of bags possible. There must be at least one marble per bag and no two bags can have the same amount of marbles.” He then reached behind his throne and pulled out a huge bag of marbles. “Here are the marbles.” He said as he handed them to Jester.

“Thank you your majesty,” Jester replied as he slung the bag over his shoulder. “Excuse me, I will solve this riddle in my office. I will bring back the exact amount of bags you need.” He happily said as he walked towards the main throne room doors. “Oh hi Knight!” He shouted as Knight walked in. “Hello Jester,” Knight replied as he watch Jester leave and closed the doors.

After the main doors were sufficiently locked, Knight kneeled in front of the King and said, “Your majesty, about yesterday’s discussion.”

“Ah yes, Dragon riding was it? If the Benson Brothers and the young dragons could grow up together, that would be splendid. Please call in Father Benson. This is a something we must discuss together. Maybe we can all ride together.”

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As the King, Father Benson, and Knight prepared to meet with the Elder Dragon and his family, Jester was running around town, from store to store and buying bags. This is not enough. I need more bags! He thought. How many bags does Jester need?