ALL TRANSACTIONS

gsTqe8YJKHgAUZuP

CONSUMP_PREPOST_GRANT

completed · 8/21/2026, 4:20:42 PM

Statuscompleted
Date8/21/2026, 4:20:42 PM
User85242227@qq.com
User AmountCNY 0.0004725
User BalancegrvvOoGQ6TYr3Stt
Vendortokease
Vendor CostCNY -0.00043477
Vendor BalancegrUOO3gPM2QLOqUW
Aliasdeepseek-v4-flash-g1 / grUORIPWk0XTl4W7
Mode / Protoreq-v1-chatcmpl / openai-chatcmpl
Log MIDgsTqe8VywMtsdSdw
SETTLEMENT TELEMETRY

Inference Log

Log MIDgsTqe8VywMtsdSdw
Typechat_completion
Aliasdeepseek-v4-flash-g1 / grUORIPWk0XTl4W7
Hostinfogaxi-server:3300:v1.1.3395-0-ga307a73fe
Mode / Protoreq-v1-chatcmplopenai-chatcmpl
Vendor/LLMtokease/deepseek-v4-flash/yd
Statussuccess
User Pricing
30 × 0.75 = 0.000023
0 × 0.015 = 0.000000
300 × 1.5 = 0.000450
CNY 0.000472
Vendor Cost
30 × 0.69034 = 0.000021
0 × 0.013802 = 0.000000
300 × 1.380211 = 0.000414
CNY 0.000435
Latency18.66789618s
Summary
请详细回答以下问题:解释什么是递归,并举例说明。请展开论述,分点说明,条理清晰。
Stop Reasonlength
Vendor Request
Method: POST

URL: https://tokease.cn/v1/chat/completions

Headers:
{
  "Authorization": "Bearer sk-oRd5RE9JhT1bDLQ3lOZgdkESeCuowucrcNX16gZEgHecnxmu",
  "Content-Type": "application/json"
}

Body:
{
  "max_tokens": 300,
  "messages": [
    {
      "role": "user",
      "content": "请详细回答以下问题:解释什么是递归,并举例说明。请展开论述,分点说明,条理清晰。"
    }
  ],
  "model": "deepseek-v4-flash/yd"
}
Vendor Response
Headers:
{
  "Content-Length": "2061",
  "Content-Type": "application/json",
  "Date": "Fri, 21 Aug 2026 08:20:43 GMT",
  "Req-Arrive-Time": "1787300442736",
  "Req-Cost-Time": "691",
  "Resp-Start-Time": "1787300443427",
  "Server": "nginx",
  "Set-Cookie": "route=7041e75fbdb03d21cbe6a8d8f36f7b94; Path=/",
  "Vary": "Accept-Encoding",
  "Via": "1.1 Caddy",
  "X-Envoy-Upstream-Service-Time": "685",
  "X-New-Api-Version": "v0.0.0",
  "X-Oneapi-Request-Id": "202608210820427068163578268d9d6QUSy3UfM",
  "X-Request-Id": "584cff63-1340-4668-9495-fee0ed6e6608"
}

Body:
{
  "id": "chatcmpl-b023e4af-c314-4c1d-a967-5d0d2247661e",
  "object": "chat.completion",
  "created": 1787300443,
  "model": "deepseek-v4-flash",
  "choices": [
    {
      "index": 0,
      "message": {
        "role": "assistant",
        "content": "### 什么是递归?\n\n递归(Recursion)是编程和数学中一种重要的思想方法,其核心是**函数直接或间接地调用自身**。通过将一个大问题分解为结构相同但规模更小的子问题,并逐步简化,直到达到一个最简单的“基准情形”(Base Case),再从基准情形逐层返回结果,最终解决原问题。\n\n递归包含两个关键要素:\n1. **基准情形(Base Case)**:终止递归的条件,此时不再调用自身,直接返回结果。没有基准情形的递归会陷入无限循环(栈溢出)。\n2. **递归步骤(Recursive Step)**:将问题转化为一个或多个更小规模的同类问题,并调用自身去解决。\n\n---\n\n### 递归的展开论述\n\n#### 1. **递归的本质:分治思想**\n- 递归体现了“分而治之”的策略:将复杂问题拆解为多个简单子问题。\n- 每个子问题的解法与原问题完全相同,只是规模缩小。\n- 这种“自相似性”使得代码简洁、逻辑清晰。\n\n#### 2. **递归的执行过程:递推与回归**\n- **递推(Forward)**:不断调用自身,将问题逐层分解,直到达到基准情形。\n- **回归(Backward)**:从基准情形开始,逐层返回结果,将子问题的解合并成原问题的解。\n- 例如计算阶乘时,`factorial(5",
        "refusal": null,
        "annotations": null,
        "audio": null,
        "function_call": null,
        "reasoning": null
      },
      "logprobs": null,
      "finish_reason": "length",
      "stop_reason": null,
      "token_ids": null,
      "routed_experts": null
    }
  ],
  "service_tier": null,
  "system_fingerprint": "vllm-0.25.1-dp8-ep-1d021cfb",
  "usage": {
    "prompt_tokens": 30,
    "total_tokens": 330,
    "completion_tokens": 300,
    "prompt_tokens_details": {
      "cached_tokens": 0,
      "multimodal_tokens": null
    }
  },
  "prompt_logprobs": null,
  "prompt_token_ids": null,
  "prompt_text": null,
  "kv_transfer_params": null,
  "metrics": null
}
Token Usage
{
  "prompt_tokens": 30,
  "total_tokens": 330,
  "completion_tokens": 300,
  "prompt_tokens_details": {
    "cached_tokens": 0,
    "multimodal_tokens": null
  }
}
User Request
Method: POST

URL: /v1/chat/completions

Headers:
{
  "Accept": "*/*",
  "Accept-Encoding": "gzip",
  "Authorization": "Bearer sk_r4gAXloJQt74Cp4prb19OItKzoG77lLhjmWT4ei20Ua",
  "Content-Length": "211",
  "Content-Type": "application/json",
  "User-Agent": "Go-http-client/2.0",
  "Via": "2.0 Caddy",
  "X-Forwarded-For": "13.212.110.206",
  "X-Forwarded-Host": "api.tokendiet.cn",
  "X-Forwarded-Proto": "https"
}

Body:
{
  "model": "deepseek-v4-flash-g1",
  "messages": [
    {
      "role": "user",
      "content": "请详细回答以下问题:解释什么是递归,并举例说明。请展开论述,分点说明,条理清晰。"
    }
  ],
  "max_tokens": 300
}
User Response
Body:
{
  "choices": [
    {
      "finish_reason": "length",
      "index": 0,
      "logprobs": null,
      "message": {
        "annotations": null,
        "audio": null,
        "content": "### 什么是递归?\n\n递归(Recursion)是编程和数学中一种重要的思想方法,其核心是**函数直接或间接地调用自身**。通过将一个大问题分解为结构相同但规模更小的子问题,并逐步简化,直到达到一个最简单的“基准情形”(Base Case),再从基准情形逐层返回结果,最终解决原问题。\n\n递归包含两个关键要素:\n1. **基准情形(Base Case)**:终止递归的条件,此时不再调用自身,直接返回结果。没有基准情形的递归会陷入无限循环(栈溢出)。\n2. **递归步骤(Recursive Step)**:将问题转化为一个或多个更小规模的同类问题,并调用自身去解决。\n\n---\n\n### 递归的展开论述\n\n#### 1. **递归的本质:分治思想**\n- 递归体现了“分而治之”的策略:将复杂问题拆解为多个简单子问题。\n- 每个子问题的解法与原问题完全相同,只是规模缩小。\n- 这种“自相似性”使得代码简洁、逻辑清晰。\n\n#### 2. **递归的执行过程:递推与回归**\n- **递推(Forward)**:不断调用自身,将问题逐层分解,直到达到基准情形。\n- **回归(Backward)**:从基准情形开始,逐层返回结果,将子问题的解合并成原问题的解。\n- 例如计算阶乘时,`factorial(5",
        "function_call": null,
        "reasoning": null,
        "refusal": null,
        "role": "assistant"
      },
      "routed_experts": null,
      "stop_reason": null,
      "token_ids": null
    }
  ],
  "created": 1787300443,
  "id": "chatcmpl-gsTqe8YJKHgAUZuP",
  "kv_transfer_params": null,
  "metrics": null,
  "model": "deepseek-v4-flash-g1",
  "object": "chat.completion",
  "prompt_logprobs": null,
  "prompt_text": null,
  "prompt_token_ids": null,
  "service_tier": null,
  "system_fingerprint": "vllm-0.25.1-dp8-ep-1d021cfb",
  "usage": {
    "completion_tokens": 300,
    "prompt_tokens": 30,
    "prompt_tokens_details": {
      "cached_tokens": 0,
      "multimodal_tokens": null
    },
    "total_tokens": 330
  }
}
Created At8/21/2026, 4:20:42 PM