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{"run": 0, "warmup": true, "ttft_s": 0.07895353000003524, "elapsed_s": 1.795279004000804, "decode_tps": 148.5732186946995, "usage": {"prompt_tokens": 58, "total_tokens": 314, "completion_tokens": 256, "completion_tokens_details": {"reasoning_tokens": 247}}, "content": "\n\n# Merging Overlapping Intervals", "reasoning": "The user wants a Python function that merges overlapping intervals, along with an explanation of the algorithm, edge cases, and complexity analysis.\n\nLet me think about this:\n\n1. **Algorithm**: The classic approach is:\n - Sort intervals by start time\n - Iterate through sorted intervals, merging when there's overlap\n - Two intervals overlap if the start of the next is <= the end of the current\n\n2. **Edge cases to consider**:\n - Empty input\n - Single interval\n - All intervals overlap into one\n - No intervals overlap\n - Intervals that touch (e.g., [1,3] and [3,5]) \u2014 should these merge? Typically yes, since they share a point.\n - Intervals with same start\n - Intervals with same end\n - Unsorted input\n\n3. **Complexity**:\n - Time: O(n log n) due to sorting\n - Space: O(n) for the output (or O(1) extra if we modify in place, but typically we return a new list)\n\nLet me write a clean, well-documented solution with type hints and a thorough explanation.\n"}
{"run": 1, "warmup": false, "ttft_s": 0.08640880700022535, "elapsed_s": 1.8029339949998757, "decode_tps": 148.55593252154011, "usage": {"prompt_tokens": 58, "total_tokens": 314, "completion_tokens": 256, "completion_tokens_details": {"reasoning_tokens": 247}}, "content": "\n\n# Merging Overlapping Intervals", "reasoning": "The user wants a Python function that merges overlapping intervals, along with an explanation of the algorithm, edge cases, and complexity analysis.\n\nLet me think about this:\n\n1. **Algorithm**: The classic approach is:\n - Sort intervals by start time\n - Iterate through sorted intervals, merging when there's overlap\n - Two intervals overlap if the start of the next is <= the end of the current\n\n2. **Edge cases to consider**:\n - Empty input\n - Single interval\n - All intervals overlap into one\n - No intervals overlap\n - Intervals that touch (e.g., [1,3] and [3,5]) \u2014 should these merge? Typically yes, since they share a point.\n - Intervals with same start\n - Intervals with same end\n - Unsorted input\n\n3. **Complexity**:\n - Time: O(n log n) due to sorting\n - Space: O(n) for the output (or O(1) extra if we modify in place, but typically we return a new list)\n\nLet me write a clean, well-documented solution with type hints and a thorough explanation.\n"}
{"run": 2, "warmup": false, "ttft_s": 0.08631457799947384, "elapsed_s": 1.8029650199996468, "decode_tps": 148.54509325898877, "usage": {"prompt_tokens": 58, "total_tokens": 314, "completion_tokens": 256, "completion_tokens_details": {"reasoning_tokens": 247}}, "content": "\n\n# Merging Overlapping Intervals", "reasoning": "The user wants a Python function that merges overlapping intervals, along with an explanation of the algorithm, edge cases, and complexity analysis.\n\nLet me think about this:\n\n1. **Algorithm**: The classic approach is:\n - Sort intervals by start time\n - Iterate through sorted intervals, merging when there's overlap\n - Two intervals overlap if the start of the next is <= the end of the current\n\n2. **Edge cases to consider**:\n - Empty input\n - Single interval\n - All intervals overlap into one\n - No intervals overlap\n - Intervals that touch (e.g., [1,3] and [3,5]) \u2014 should these merge? Typically yes, since they share a point.\n - Intervals with same start\n - Intervals with same end\n - Unsorted input\n\n3. **Complexity**:\n - Time: O(n log n) due to sorting\n - Space: O(n) for the output (or O(1) extra if we modify in place, but typically we return a new list)\n\nLet me write a clean, well-documented solution with type hints and a thorough explanation.\n"}
{"run": 3, "warmup": false, "ttft_s": 0.0862306319995696, "elapsed_s": 1.8031676069995228, "decode_tps": 148.52030314042653, "usage": {"prompt_tokens": 58, "total_tokens": 314, "completion_tokens": 256, "completion_tokens_details": {"reasoning_tokens": 247}}, "content": "\n\n# Merging Overlapping Intervals", "reasoning": "The user wants a Python function that merges overlapping intervals, along with an explanation of the algorithm, edge cases, and complexity analysis.\n\nLet me think about this:\n\n1. **Algorithm**: The classic approach is:\n - Sort intervals by start time\n - Iterate through sorted intervals, merging when there's overlap\n - Two intervals overlap if the start of the next is <= the end of the current\n\n2. **Edge cases to consider**:\n - Empty input\n - Single interval\n - All intervals overlap into one\n - No intervals overlap\n - Intervals that touch (e.g., [1,3] and [3,5]) \u2014 should these merge? Typically yes, since they share a point.\n - Intervals with same start\n - Intervals with same end\n - Unsorted input\n\n3. **Complexity**:\n - Time: O(n log n) due to sorting\n - Space: O(n) for the output (or O(1) extra if we modify in place, but typically we return a new list)\n\nLet me write a clean, well-documented solution with type hints and a thorough explanation.\n"}