ALL TRANSACTIONS
gsTrbLIAVw4r5Kgl
CONSUMP_PREPOST_GRANT
completed · 8/21/2026, 4:23:29 PM
Statuscompleted
Date8/21/2026, 4:23:29 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 MIDgsTrbLGAkrhBCwkM
SETTLEMENT TELEMETRY
Inference Log
Log MIDgsTrbLGAkrhBCwkM
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
Latency16.30440905s
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": "2128",
"Content-Type": "application/json",
"Date": "Fri, 21 Aug 2026 08:23:30 GMT",
"Req-Arrive-Time": "1787300609788",
"Req-Cost-Time": "678",
"Resp-Start-Time": "1787300610467",
"Server": "nginx",
"Set-Cookie": "route=b6817f60ab83a9ecf16ead57be0f0f66; Path=/",
"Vary": "Accept-Encoding",
"Via": "1.1 Caddy",
"X-Envoy-Upstream-Service-Time": "672",
"X-New-Api-Version": "v0.0.0",
"X-Oneapi-Request-Id": "202608210823297581235818268d9d6hNmBnCSc",
"X-Request-Id": "28f28bc3-0aa1-4523-a373-3d289ff95b30"
}
Body:
{
"id": "chatcmpl-1922a0fc-a07a-4cef-a5ce-15dd83e5e716",
"object": "chat.completion",
"created": 1787300610,
"model": "deepseek-v4-flash",
"choices": [
{
"index": 0,
"message": {
"role": "assistant",
"content": "### 递归的详细解释\n\n#### 一、什么是递归?\n递归(Recursion)是一种**编程技术**,指一个函数(或过程)在定义中**直接或间接地调用自身**,从而将一个大问题分解为若干个结构相同、规模更小的子问题,直到子问题简单到可以直接求解(基线条件)。\n\n递归的核心思想是**“分而治之”**——通过不断缩小问题规模,最终触达一个无需再分解的“最小单元”,然后反向返回结果。\n\n---\n\n#### 二、递归的两个必备条件\n递归必须满足以下两个条件,否则会导致无限循环或栈溢出:\n\n1. **基线条件(Base Case)**: \n 一个明确终止递归的条件,当满足该条件时,函数不再调用自身,而是直接返回一个确定值。没有基线条件,递归将无限进行。\n\n2. **递归步骤(Recursive Step)**: \n 将当前问题转化为一个或多个更小的子问题,并调用自身去解决这些子问题。每次递归都需要**逐步逼近基线条件**,否则无法终止。\n\n---\n\n#### 三、递归的执行过程\n递归的执行可以看作两个阶段:\n- **递推(递去)阶段**:从初始调用开始,不断分解问题,直到触达基线条件(此时递归调用“见底”)。\n- **回归(归来)阶段**:在基线条件返回结果后,逐层向上返回计算结果,最终得到",
"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": "### 递归的详细解释\n\n#### 一、什么是递归?\n递归(Recursion)是一种**编程技术**,指一个函数(或过程)在定义中**直接或间接地调用自身**,从而将一个大问题分解为若干个结构相同、规模更小的子问题,直到子问题简单到可以直接求解(基线条件)。\n\n递归的核心思想是**“分而治之”**——通过不断缩小问题规模,最终触达一个无需再分解的“最小单元”,然后反向返回结果。\n\n---\n\n#### 二、递归的两个必备条件\n递归必须满足以下两个条件,否则会导致无限循环或栈溢出:\n\n1. **基线条件(Base Case)**: \n 一个明确终止递归的条件,当满足该条件时,函数不再调用自身,而是直接返回一个确定值。没有基线条件,递归将无限进行。\n\n2. **递归步骤(Recursive Step)**: \n 将当前问题转化为一个或多个更小的子问题,并调用自身去解决这些子问题。每次递归都需要**逐步逼近基线条件**,否则无法终止。\n\n---\n\n#### 三、递归的执行过程\n递归的执行可以看作两个阶段:\n- **递推(递去)阶段**:从初始调用开始,不断分解问题,直到触达基线条件(此时递归调用“见底”)。\n- **回归(归来)阶段**:在基线条件返回结果后,逐层向上返回计算结果,最终得到",
"function_call": null,
"reasoning": null,
"refusal": null,
"role": "assistant"
},
"routed_experts": null,
"stop_reason": null,
"token_ids": null
}
],
"created": 1787300610,
"id": "chatcmpl-gsTrbLIAVw4r5Kgl",
"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, 4:23:29 PM
TRANSACTION DETAILS