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1 | | -# Introduction |
2 | | - |
3 | | -You are an accomplished problem-solver, known for your ability to tackle the most challenging mathematical puzzles. |
4 | | -One evening, you receive an urgent letter from an inventor called the Triangle Tinkerer, who is working on a groundbreaking new project. |
5 | | -The letter reads: |
6 | | - |
7 | | -> Dear Mathematician, |
8 | | -> |
9 | | -> I need your help. |
10 | | -> I am designing a device that relies on the unique properties of Pythagorean triplets — sets of three integers that satisfy the equation a² + b² = c². |
11 | | -> This device will revolutionize navigation, but for it to work, I must program it with every possible triplet where the sum of a, b, and c equals a specific number, N. |
12 | | -> Calculating these triplets by hand would take me years, but I hear you are more than up to the task. |
13 | | -> |
14 | | -> Time is of the essence. |
15 | | -> The future of my invention — and perhaps even the future of mathematical innovation — rests on your ability to solve this problem. |
16 | | -
|
17 | | -Motivated by the importance of the task, you set out to find all Pythagorean triplets that satisfy the condition. |
18 | | -Your work could have far-reaching implications, unlocking new possibilities in science and engineering. |
19 | | -Can you rise to the challenge and make history? |
| 1 | +# Introduction |
| 2 | + |
| 3 | +You are an accomplished problem-solver, known for your ability to tackle the most challenging mathematical puzzles. |
| 4 | +One evening, you receive an urgent letter from an inventor called the Triangle Tinkerer, who is working on a groundbreaking new project. |
| 5 | +The letter reads: |
| 6 | + |
| 7 | +> Dear Mathematician, |
| 8 | +> |
| 9 | +> I need your help. |
| 10 | +> I am designing a device that relies on the unique properties of Pythagorean triplets — sets of three integers that satisfy the equation a² + b² = c². |
| 11 | +> This device will revolutionize navigation, but for it to work, I must program it with every possible triplet where the sum of a, b, and c equals a specific number, N. |
| 12 | +> Calculating these triplets by hand would take me years, but I hear you are more than up to the task. |
| 13 | +> |
| 14 | +> Time is of the essence. |
| 15 | +> The future of my invention — and perhaps even the future of mathematical innovation — rests on your ability to solve this problem. |
| 16 | +
|
| 17 | +Motivated by the importance of the task, you set out to find all Pythagorean triplets that satisfy the condition. |
| 18 | +Your work could have far-reaching implications, unlocking new possibilities in science and engineering. |
| 19 | +Can you rise to the challenge and make history? |
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