Logic Puzzles with OpenAI o1

The video presents a challenging logic puzzle about the ages of a prince and princess, requiring careful analysis and equation formulation to determine their current ages. Using an AI reasoning model, the presenter illustrates the problem-solving process, ultimately revealing that the princess is ( 6K ) years old and the prince is ( 8K ) years old, confirming the solution’s accuracy.

In the video, the presenter discusses a complex logic puzzle involving the ages of a prince and a princess. The riddle states that the princess’s current age is equal to the prince’s future age when the princess is twice as old as the prince was at a specific point in time. The puzzle is framed in a way that makes it challenging to decipher, requiring careful consideration and translation of the problem into solvable equations.

The presenter expresses a fondness for this puzzle, noting that it has been a part of a computer game they enjoyed as a child. They highlight the difficulty of the riddle, which can take time for a person to fully understand and break down. The goal is to determine the current ages of both the prince and the princess based on the conditions outlined in the riddle.

To solve the puzzle, the presenter engages an AI reasoning model, allowing viewers to observe its thought process as it decodes the problem. The model analyzes the riddle, identifying the necessary variables and conditions that must be met to formulate the correct equations. This process mirrors the way humans approach problem-solving, with varying lengths of time spent on different aspects of the puzzle.

As the model continues to work through the problem, it eventually arrives at a solution. The presenter emphasizes the importance of verification in the problem-solving process, ensuring that the answer aligns with the conditions set forth in the riddle. The model successfully determines the ages of the prince and princess, providing a clear explanation of how it arrived at the solution.

In conclusion, the ages of the princess and prince are expressed in terms of a natural number ( K ), with the princess being ( 6K ) years old and the prince ( 8K ) years old. This outcome not only resolves the puzzle but also confirms the accuracy of the solution as it relates to the original game. The video effectively demonstrates the interplay between logic, reasoning, and verification in solving complex puzzles.