from inline_snapshot import snapshot

from mirascope.llm import (
    AssistantMessage,
    Text,
    UserMessage,
)

sync_snapshot = snapshot(
    {
        "response": {
            "provider_id": "anthropic",
            "model_id": "anthropic/claude-sonnet-4-0",
            "provider_model_name": "claude-sonnet-4-0",
            "params": {"thinking": {"level": "medium", "include_thoughts": False}},
            "finish_reason": None,
            "usage": {
                "input_tokens": 67,
                "output_tokens": 933,
                "cache_read_tokens": 0,
                "cache_write_tokens": 0,
                "reasoning_tokens": 0,
                "provider_tool_usage": None,
                "raw": "Usage(cache_creation=CacheCreation(ephemeral_1h_input_tokens=0, ephemeral_5m_input_tokens=0), cache_creation_input_tokens=0, cache_read_input_tokens=0, input_tokens=67, output_tokens=933, server_tool_use=None, service_tier='standard')",
                "total_tokens": 1000,
            },
            "messages": [
                UserMessage(
                    content=[
                        Text(
                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
                        )
                    ]
                ),
                AssistantMessage(
                    content=[Text(text="3")],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "signature": "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",
                                "thinking": """\
I need to find all primes below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers of the form 79X (where X is any digit): 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers of the form X79 (where X is any digit): 179, 279, 379
- The number 79 itself

Wait, let me be more systematic. Since we're looking at numbers below 400, the possibilities are:
- 79 (the number itself)
- 179, 279, 379 (3-digit numbers ending in 79)
- Numbers starting with 79 but since we need to be below 400, we can't have any 4-digit numbers starting with 79

Let me check each of these for primality:

1) 79: Let me check if 79 is prime.
   79 = ? \n\
   Need to check divisibility by primes up to √79 ≈ 8.9
   So check 2, 3, 5, 7
   79 is odd, so not divisible by 2
   7+9 = 16, not divisible by 3
   Doesn't end in 0 or 5, so not divisible by 5
   79 ÷ 7 = 11.28..., so not divisible by 7
   So 79 is prime.

2) 179: Let me check if 179 is prime.
   Need to check divisibility by primes up to √179 ≈ 13.4
   So check 2, 3, 5, 7, 11, 13
   179 is odd, so not divisible by 2
   1+7+9 = 17, not divisible by 3
   Testing 5, 7, 11, and 13 all yield non-integer results, so 179 is prime.

3) 279: The digit sum is 2+7+9 = 18, which is divisible by 3, so 279 = 3 × 93 and is composite.

4) 379: Checking divisibility by primes up to √379 ≈ 19.5. It's odd, so not divisible by 2. The digit sum 3+7+9 = 19 isn't divisible by 3. It doesn't end in 0 or 5. Testing 7, 11, and 13 all produce non-integers, so 379 appears to be prime based on these checks.

Continuing with 17 and 19: 379 ÷ 17 = 22.29... and 379 ÷ 19 = 19.95..., confirming 379 is prime.

The primes below 400 containing "79" as a substring are 79, 179, and 379—three primes total.\
""",
                                "type": "thinking",
                            },
                            {"citations": None, "text": "3", "type": "text"},
                        ],
                    },
                ),
            ],
            "format": None,
            "tools": [],
        }
    }
)
async_snapshot = snapshot(
    {
        "response": {
            "provider_id": "anthropic",
            "model_id": "anthropic/claude-sonnet-4-0",
            "provider_model_name": "claude-sonnet-4-0",
            "params": {"thinking": {"level": "medium", "include_thoughts": False}},
            "finish_reason": None,
            "usage": {
                "input_tokens": 67,
                "output_tokens": 1215,
                "cache_read_tokens": 0,
                "cache_write_tokens": 0,
                "reasoning_tokens": 0,
                "provider_tool_usage": None,
                "raw": "Usage(cache_creation=CacheCreation(ephemeral_1h_input_tokens=0, ephemeral_5m_input_tokens=0), cache_creation_input_tokens=0, cache_read_input_tokens=0, input_tokens=67, output_tokens=1215, server_tool_use=None, service_tier='standard')",
                "total_tokens": 1282,
            },
            "messages": [
                UserMessage(
                    content=[
                        Text(
                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
                        )
                    ]
                ),
                AssistantMessage(
                    content=[
                        Text(
                            text="""\
Looking for primes below 400 that contain "79" as a substring.

The candidates are: 79, 179, 279, 379

Checking primality:
- 79: prime
- 179: prime  \n\
- 279: divisible by 3 (2+7+9=18), so not prime
- 379: prime

3\
"""
                        )
                    ],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "signature": "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",
                                "thinking": """\
I need to find all prime numbers below 400 that contain "79" as a substring.

Let me think about this systematically. A number contains "79" as a substring if "79" appears consecutively in its decimal representation.

First, let me list numbers that contain "79" as a substring and are below 400:
- 79 itself
- 179
- 279
- 379
- 790, 791, 792, etc. - but these are all ≥ 400, so not relevant
- Numbers like 1790, 2790, etc. - also too large

Wait, I also need to consider numbers where 79 appears in the middle or at the end:
- Numbers of the form X79 where X is a single digit: 079 (which is just 79), 179, 279, 379
- Numbers of the form 79X where X is a digit: 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 - but these are all ≥ 400
- Numbers of the form X79Y where X and Y are digits - but the smallest would be 1790, which is > 400

So the candidates are: 79, 179, 279, 379

Now I need to check which of these are prime:

79: Let me check if 79 is prime.
- Is 79 divisible by 2? No (it's odd)
- Is 79 divisible by 3? 7+9 = 16, 16 is not divisible by 3, so no
- Is 79 divisible by 5? No (doesn't end in 0 or 5)
- Is 79 divisible by 7? 79 ÷ 7 = 11.28..., so no
- Is 79 divisible by 11? 79 ÷ 11 = 7.18..., so no


- Since √79 < 9, I only need to check primes up to 7, so 79 is prime.

179: Let me check if 179 is prime. Testing divisibility by 2, 3, 5, and 7 shows none divide evenly into 179. Since √179 ≈ 13.4, I need to also check 11 and 13, but 179 ÷ 11 = 16.27... and 179 ÷ 13 = 13.77..., so 179 is prime.

279: Checking divisibility by 2 and 3 - the digit sum is 18, which is divisible by 3, so 279 ÷ 3 = 93. This means 279 = 3 × 93, so it's not prime.

379: Let me check if 379 is prime. It's odd, so not divisible by 2. The digit sum is 19, which isn't divisible by 3. Testing 5, 7, 11, 13, and 17 all yield non-integer results, and since √379 ≈ 19.5, I need to continue checking a few more factors to confirm it's prime.

I've verified 379 isn't divisible by 19 either, which completes the necessary checks. The primes below 400 containing "79" are 79, 179, and 379—three total.\
""",
                                "type": "thinking",
                            },
                            {
                                "citations": None,
                                "text": """\
Looking for primes below 400 that contain "79" as a substring.

The candidates are: 79, 179, 279, 379

Checking primality:
- 79: prime
- 179: prime  \n\
- 279: divisible by 3 (2+7+9=18), so not prime
- 379: prime

3\
""",
                                "type": "text",
                            },
                        ],
                    },
                ),
            ],
            "format": None,
            "tools": [],
        }
    }
)
stream_snapshot = snapshot(
    {
        "response": {
            "provider_id": "anthropic",
            "model_id": "anthropic/claude-sonnet-4-0",
            "provider_model_name": "claude-sonnet-4-0",
            "finish_reason": None,
            "messages": [
                UserMessage(
                    content=[
                        Text(
                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
                        )
                    ]
                ),
                AssistantMessage(
                    content=[Text(text="3")],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "type": "thinking",
                                "thinking": """\
I need to find all prime numbers below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers of the form 79X (where X is a digit): 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers of the form X79 (where X is a digit): 079 (which is just 79), 179, 279, 379
- Numbers of the form X79Y (where X and Y are digits): these would be at least 1790, which is above 400

Wait, let me be more systematic. Numbers below 400 that contain "79":
- 79
- 179
- 279
- 379
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799

But wait, 790-799 are all ≥ 400, so they don't count.

So I need to check: 79, 179, 279, 379

Let me check if each is prime:

79: Let me check divisibility by small primes.
- Not divisible by 2 (it's odd)
- Not divisible by 3 (7+9=16, not divisible by 3)
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7: 79 ÷ 7 = 11.28... not divisible
- √79 ≈ 8.9, so I only need to check primes up to 8
- Already checked 2, 3, 5, 7
So 79 is prime.

179: \n\
- Not divisible by 2 (it's odd)
- Not divisible by 3 (1+7+9=17, not divisible by 3)


- Not divisible by 5, 7, 11, or 13 based on division tests
- Since √179 ≈ 13.4, I've checked all necessary primes
So 179 is prime.

For 279, the digit sum is 18, which is divisible by 3, so 279 = 3 × 93 and isn't prime. Moving to 379: it's odd, the digit sum of 19 rules out divisibility by 3, and it doesn't end in 0 or 5. Testing 7 and 11 both fail, and I'm checking 13 next since √379 ≈ 19.5 means I need to verify primes up to that point.

Continuing the divisibility checks for 379: 13, 17, and 19 all fail to divide it evenly. Since I've now tested every prime up to the square root, 379 is prime. The complete list of numbers below 400 containing "79" as a substring that are actually prime comes to three: 79, 179, and 379.\
""",
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                            {"type": "text", "text": "3"},
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async_stream_snapshot = snapshot(
    {
        "response": {
            "provider_id": "anthropic",
            "model_id": "anthropic/claude-sonnet-4-0",
            "provider_model_name": "claude-sonnet-4-0",
            "finish_reason": None,
            "messages": [
                UserMessage(
                    content=[
                        Text(
                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
                        )
                    ]
                ),
                AssistantMessage(
                    content=[
                        Text(
                            text="""\
Looking at numbers below 400 that contain "79" as a substring:
- 79
- 179  \n\
- 279
- 379

Checking which are prime:
- 79: prime
- 179: prime
- 279: divisible by 3 (2+7+9=18), so not prime
- 379: prime

3\
"""
                        )
                    ],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "type": "thinking",
                                "thinking": """\
I need to find all prime numbers below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers of the form 79x where x is a single digit: 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers of the form x79 where x is a single digit: 179, 279, 379
- Numbers of the form x79y where x and y are single digits, but this would be at least 1000, so too big
- The number 79 itself

Wait, let me be more systematic. Numbers below 400 that contain "79":
- 79
- 179
- 279
- 379
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (but these are all ≥ 790 > 400, so not relevant)

So the candidates are: 79, 179, 279, 379

Now I need to check which of these are prime:

79: Let me check if 79 is prime.
- Not divisible by 2 (it's odd)
- Not divisible by 3 (7+9=16, not divisible by 3)
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7 (79 ÷ 7 = 11.28...)
- Since √79 ≈ 8.9, I only need to check up to 8
- Not divisible by 8, but 8 is even so already covered by 2

So 79 is prime.

179: Let me check if 179 is prime.
- Not divisible by 2 (it's odd)
- Not divisible by 3 (1+7+9=17, not divisible by 3)


- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7 (179 ÷ 7 = 25.57...)
- Not divisible by 11 (179 ÷ 11 = 16.27...)
- Not divisible by 13 (179 ÷ 13 = 13.77...)
- Since √179 ≈ 13.4, I need to check up to 13

So 179 is prime.

279: Let me check if 279 is prime.
- Not divisible by 2 (it's odd)
- Divisible by 3 (2+7+9=18, which is divisible by 3), so 279 = 3 × 93

So 279 is not prime. Now checking 379: it's odd, and the digit sum is 19 (not divisible by 3), doesn't end in 5, and testing divisibility by 7, 11, 13, and 17 shows it's not divisible by any of these. Since √379 ≈ 19.5, 379 is prime. 13 = 29.15...). Since the square root of 379 is approximately 19.5, I only need to check divisibility up to 19, and I've confirmed it's not divisible by any prime up to that point. So 379 is prime.

The numbers below 400 containing "79" as a substring that are prime are 79, 179, and 379—three primes total.\
""",
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                            },
                            {
                                "type": "text",
                                "text": """\
Looking at numbers below 400 that contain "79" as a substring:
- 79
- 179  \n\
- 279
- 379

Checking which are prime:
- 79: prime
- 179: prime
- 279: divisible by 3 (2+7+9=18), so not prime
- 379: prime

3\
""",
                            },
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