{
"id": "msg_01RTMUzgfAqheU5zG8vrBwbs",
"model": "claude-opus-4-5-20251101",
"object": "chat.completion",
"created": 1766975951,
"choices": [
{
"index": 0,
"message": {
"role": "assistant",
"content": "# Sum of 1 + 2 + 3 + ... + 100\n\n## Using the formula:\n$$S = \\frac{n(n+1)}{2}$$\n\n## Calculation:\n$$S = \\frac{100 \\times 101}{2} = \\frac{10100}{2} = \\boxed{5050}$$",
"reasoning_content": "This is asking for the sum of all integers from 1 to 100.\n\nI can use the formula for the sum of an arithmetic series:\nSum = n(n+1)/2\n\nWhere n = 100\n\nSum = 100 × 101 / 2\nSum = 10100 / 2\nSum = 5050",
"signature": "Eu0CCkYICxgCKkBu42zpywVZcSVzok7y8BF2uUNxH0KfNtSBuLDM/PVbEkegBcoJF5OWv6DC+ksEnUB57x6FZD4BaE3f7TEMdpagEgzBXFDvXgJlbJe3HGwaDIgu4Y6a+3w6craV1SIwtmF/Rurx994wziEq7Hn4RRrJVRh1ZgOoJXfxeT6Jd/UcH4eOKLE/60bDTrDt4ZpgKtQBPOjxRd/bscLm1aDmX4YTr2mZ3bidlJYwB1ktW1GYE4XDeipZ9kP65yZOFqrqcRZwc0bcHh7Wjd8dA9pl0pPu9Oxuijpxwpq4nWfQ5sh6+L2UnULOYgCyTWtUzd0+2AKjs4kFC34Ap1c2eonRjSBxDEcfSRRocZdVQXHAnUEKMrLYOzwl44VPzZSvf3leBIts9LOgQQYDIjEhZI0NTN+ptde7UcKMCMI6jUaKaDbiFCJBpUaCV0avLi3sPkq6/cw6EDSESZ6lARdwi4/o7yeBh8qWhqwYAQ=="
},
"finish_reason": "stop"
}
],
"usage": {
"prompt_tokens": 50,
"completion_tokens": 171,
"total_tokens": 221,
"prompt_tokens_details": {
"cached_tokens": 0,
"text_tokens": 0,
"audio_tokens": 0,
"image_tokens": 0
},
"completion_tokens_details": {
"text_tokens": 0,
"audio_tokens": 0,
"reasoning_tokens": 0
},
"output_tokens_details": {
"text_tokens": 0,
"audio_tokens": 0,
"reasoning_tokens": 0
},
"input_tokens": 0,
"output_tokens": 0,
"input_tokens_details": null,
"claude_cache_creation_5_m_tokens": 0,
"claude_cache_creation_1_h_tokens": 0
}
}