我要将以下数据解析成json对，请给我个脚本。

"\"input\": \"We have a square \\\\(ABCD\\\\) with a side length of \\\\(10\\\\) inscribed in a circle. Points \\\\(P\\\\) and \\\\(Q\\\\) lie on the circle such that \\\\(P\\\\) is on the same side of line \\\\(AD\\\\) as \\\\(C\\\\), and \\\\(Q\\\\) is on the same side of line \\\\(AB\\\\) as \\\\(C\\\\). We know that the distances \\\\(AP = 16\\\\) and \\\\(AQ = 12\\\\). We need to find the length of segment \\\\(PQ\\\\).\"\n\"output\": \"To solve this problem, we need to break it down into parts. First, we should find the radius of the circle that inscribes square \\\\(ABCD\\\\). What formula can we use to find the radius based on the side length of the square?\"\n\n\"input\": \"What formula can we use to find the radius based on the side length of the square?\"\n\"output\": \"The diagonal of square \\\\(ABCD\\\\) can be calculated using the formula \\\\(s \\\\sqrt{2}\\\\). Since the side length \\\\(s = 10\\\\), we have: \\\\[\\\\text{Diagonal} = 10\\\\sqrt{2}\\\\]. The radius \\\\(r\\\\) is half of the diagonal. So, what is the radius?\"\n\n\"input\": \"The diagonal of square \\\\(ABCD\\\\) can be calculated using the formula \\\\(s \\\\sqrt{2}\\\\). Since the side length \\\\(s = 10\\\\), we have: \\\\[\\\\text{Diagonal} = 10\\\\sqrt{2}\\\\]. The radius \\\\(r\\\\) is half of the diagonal. So, what is the radius?\"\n\"output\": \"The radius \\\\(r\\\\) is given by: \\\\[r = \\\\frac{10\\\\sqrt{2}}{2} = 5\\\\sqrt{2}\\\\]. Now that we have the radius, the next step is to apply the Power of a Point Theorem. What does the theorem state about the distances from point A to points P and Q?\"\n\n\"input\": \"What does the Power of a Point Theorem state about the distances from point A to points P and Q?\"\n\"output\": \"The Power of a Point Theorem states that \\\\(AP \\\\cdot AQ = OP^2\\\\), where \\\\(O\\\\) is the center of the circle. Given that \\\\(AP = 16\\\\) and \\\\(AQ = 12\\\\), how can we use this information to find \\\\(OP\\\\)?\"\n\n\"input\": \"Given that \\\\(AP = 16\\\\) and \\\\(AQ = 12\\\\), how can we use this information to find \\\\(OP\\\\)?\"\n\"output\": \"We can plug in the values into the theorem: \\\\[16 \\\\times 12 = OP^2\\\\]. This gives us \\\\[OP^2 = 192\\\\]. What do we get when we take the square root of 192?\"\n\n\"input\": \"What do we get when we take the square root of 192?\"\n\"output\": \"Taking the square root of 192, we find: \\\\[OP = \\\\sqrt{192} = 8\\\\sqrt{3}\\\\]. Now, we know that the distances from the center to points P and Q are equal, meaning \\\\(OP = OQ = 8\\\\sqrt{3}\\\\). The final step is to determine the length of segment \\\\(PQ\\\\). How can we calculate that?\"\n\n\"input\": \"How can we calculate the length of segment \\\\(PQ\\\\)?\"\n\"output\": \"Since both distances are equal, we use the formula \\\\(PQ = 2 \\\\times OP\\\\). Plugging in the value of \\\\(OP\\\\), what do we get for \\\\(PQ\\\\)?\"\n\n\"input\": \"Plugging in the value of \\\\(OP\\\\), what do we get for \\\\(PQ\\\\)?\"\n\"output\": \"We have: \\\\[PQ = 2 \\\\times 8\\\\sqrt{3} = 16\\\\sqrt{3}\\\\]. Now that we have solved all the sub-problems, let's summarize the process. What was the original problem we were trying to solve?\"\n\n\"input\": \"What was the original problem we were trying to solve?\"\n\"output\": \"We needed to find the length of segment \\\\(PQ\\\\) in a square inscribed within a circle. We found that the radius of the circle is \\\\(5\\\\sqrt{2}\\\\), applied the Power of a Point Theorem to find \\\\(OP = 8\\\\sqrt{3}\\\\), and then calculated \\\\(PQ = 16\\\\sqrt{3}\\\\). Therefore, the final answer is \\\\(16\\\\sqrt{3}\\\\).\""