feat: add stream support

2023-03-11 20:54:24 +08:00 · 2023-03-11 20:54:24 +08:00 · 74dd6194d8
commit 74dd6194d8
parent 4f10b9a60f
8 changed files with 570 additions and 23 deletions
--- a/.gitignore
+++ b/.gitignore
@ -34,3 +34,4 @@ yarn-error.log*
 # typescript
 *.tsbuildinfo
 next-env.d.ts
+dev
--- a/app/api/chat-stream/route.ts
+++ b/app/api/chat-stream/route.ts
@ -0,0 +1,64 @@
+import type { ChatRequest } from "../chat/typing";
+import { createParser } from "eventsource-parser";
+import { NextRequest } from "next/server";
+
+const apiKey = process.env.OPENAI_API_KEY;
+
+async function createStream(payload: ChatRequest) {
+  const encoder = new TextEncoder();
+  const decoder = new TextDecoder();
+
+  console.log("[ChatStream]", payload);
+
+  const res = await fetch("https://api.openai.com/v1/chat/completions", {
+    headers: {
+      "Content-Type": "application/json",
+      Authorization: `Bearer ${apiKey}`,
+    },
+    method: "POST",
+    body: JSON.stringify(payload),
+  });
+
+  const stream = new ReadableStream({
+    async start(controller) {
+      function onParse(event: any) {
+        if (event.type === "event") {
+          const data = event.data;
+          // https://beta.openai.com/docs/api-reference/completions/create#completions/create-stream
+          if (data === "[DONE]") {
+            controller.close();
+            return;
+          }
+          try {
+            const json = JSON.parse(data);
+            const text = json.choices[0].delta.content;
+            const queue = encoder.encode(text);
+            controller.enqueue(queue);
+          } catch (e) {
+            controller.error(e);
+          }
+        }
+      }
+
+      const parser = createParser(onParse);
+      for await (const chunk of res.body as any) {
+        parser.feed(decoder.decode(chunk));
+      }
+    },
+  });
+  return stream;
+}
+
+export async function POST(req: NextRequest) {
+  try {
+    const body = (await req.json()) as ChatRequest;
+    const stream = await createStream(body);
+    return new Response(stream);
+  } catch (error) {
+    console.error(error);
+  }
+}
+
+export const config = {
+  runtime: "edge",
+};
--- a/app/api/chat/route.ts
+++ b/app/api/chat/route.ts
@ -2,8 +2,7 @@ import { OpenAIApi, Configuration } from "openai";
 import { ChatRequest } from "./typing";

 const isProd = process.env.NODE_ENV === "production";
-
-let apiKey = process.env.OPENAI_API_KEY;
+const apiKey = process.env.OPENAI_API_KEY;

 const openai = new OpenAIApi(
  new Configuration({
--- a/app/components/home.tsx
+++ b/app/components/home.tsx
@ -1,7 +1,10 @@
 "use client";

-import { useState, useRef, useLayoutEffect, useEffect } from "react";
+import { useState, useRef, useEffect } from "react";
 import ReactMarkdown from "react-markdown";
+import "katex/dist/katex.min.css";
+import RemarkMath from "remark-math";
+import RehypeKatex from "rehype-katex";

 import { IconButton } from "./button";
 import styles from "./home.module.css";
@ -19,6 +22,14 @@ import LoadingIcon from "../icons/three-dots.svg";

 import { Message, useChatStore } from "../store";

+export function Markdown(props: { content: string }) {
+  return (
+    <ReactMarkdown remarkPlugins={[RemarkMath]} rehypePlugins={[RehypeKatex]}>
+      {props.content}
+    </ReactMarkdown>
+  );
+}
+
 export function Avatar(props: { role: Message["role"] }) {
  if (props.role === "assistant") {
    return <BotIcon className={styles["user-avtar"]} />;
@ -174,11 +185,12 @@ export function Chat() {
                  <div className={styles["chat-message-status"]}>正在输入…</div>
                )}
                <div className={styles["chat-message-item"]}>
-                  {message.preview && !isUser ? (
+                  {(message.preview || message.content.length === 0) &&
+                  !isUser ? (
                    <LoadingIcon />
                  ) : (
                    <div className="markdown-body">
-                      <ReactMarkdown>{message.content}</ReactMarkdown>
+                      <Markdown content={message.content} />
                    </div>
                  )}
                </div>
--- a/app/requests.ts
+++ b/app/requests.ts
@ -1,8 +1,8 @@
 import type { ChatRequest, ChatReponse } from "./api/chat/typing";
 import { Message } from "./store";

-export async function requestChat(messages: Message[]) {
-  const req: ChatRequest = {
+const makeRequestParam = (messages: Message[], stream = false): ChatRequest => {
+  return {
    model: "gpt-3.5-turbo",
    messages: messages
      .map((v) => ({
@ -10,7 +10,12 @@ export async function requestChat(messages: Message[]) {
        content: v.content,
      }))
      .filter((m) => m.role !== "assistant"),
+    stream,
  };
+};
+
+export async function requestChat(messages: Message[]) {
+  const req: ChatRequest = makeRequestParam(messages);

  const res = await fetch("/api/chat", {
    method: "POST",
@ -23,6 +28,45 @@ export async function requestChat(messages: Message[]) {
  return (await res.json()) as ChatReponse;
 }

+export async function requestChatStream(
+  messages: Message[],
+  options?: {
+    onMessage: (message: string, done: boolean) => void;
+  }
+) {
+  const req = makeRequestParam(messages, true);
+
+  const res = await fetch("/api/chat-stream", {
+    method: "POST",
+    headers: {
+      "Content-Type": "application/json",
+    },
+    body: JSON.stringify(req),
+  });
+
+  let responseText = "";
+
+  if (res.ok) {
+    const reader = res.body?.getReader();
+    const decoder = new TextDecoder();
+
+    while (true) {
+      const content = await reader?.read();
+      const text = decoder.decode(content?.value);
+      responseText += text;
+
+      const done = !content || content.done;
+      options?.onMessage(responseText, false);
+
+      if (done) {
+        break;
+      }
+    }
+
+    options?.onMessage(responseText, true);
+  }
+}
+
 export async function requestWithPrompt(messages: Message[], prompt: string) {
  messages = messages.concat([
    {
--- a/app/store.ts
+++ b/app/store.ts
@ -2,11 +2,12 @@ import { create } from "zustand";
 import { persist } from "zustand/middleware";

 import { type ChatCompletionResponseMessage } from "openai";
-import { requestChat, requestWithPrompt } from "./requests";
+import { requestChat, requestChatStream, requestWithPrompt } from "./requests";
 import { trimTopic } from "./utils";

 export type Message = ChatCompletionResponseMessage & {
  date: string;
+  streaming?: boolean;
 };

 interface ChatConfig {
@ -65,6 +66,11 @@ interface ChatStore {
  summarizeSession: () => void;
  updateStat: (message: Message) => void;
  updateCurrentSession: (updater: (session: ChatSession) => void) => void;
+  updateMessage: (
+    sessionIndex: number,
+    messageIndex: number,
+    updater: (message?: Message) => void
+  ) => void;
 }

 export const useChatStore = create<ChatStore>()(
@ -141,12 +147,42 @@ export const useChatStore = create<ChatStore>()(
        const messages = get().currentSession().messages.concat(message);
        get().onNewMessage(message);

-        const res = await requestChat(messages);
-
-        get().onNewMessage({
-          ...res.choices[0].message!,
+        const botMessage: Message = {
+          content: "",
+          role: "assistant",
          date: new Date().toLocaleString(),
+          streaming: true,
+        };
+
+        get().updateCurrentSession((session) => {
+          session.messages.push(botMessage);
        });
+
+        requestChatStream(messages, {
+          onMessage(content, done) {
+            if (done) {
+              get().updateStat(message);
+              get().summarizeSession();
+            } else {
+              botMessage.content = content;
+              botMessage.streaming = false;
+              set(() => ({}));
+            }
+          },
+        });
+      },
+
+      updateMessage(
+        sessionIndex: number,
+        messageIndex: number,
+        updater: (message?: Message) => void
+      ) {
+        const sessions = get().sessions;
+        const session = sessions.at(sessionIndex);
+        const messages = session?.messages;
+        console.log(sessions, messages?.length, messages?.at(messageIndex));
+        updater(messages?.at(messageIndex));
+        set(() => ({ sessions }));
      },

      onBotResponse(message) {
--- a/package.json
+++ b/package.json
@ -13,13 +13,17 @@
    "@types/node": "^18.14.6",
    "@types/react": "^18.0.28",
    "@types/react-dom": "^18.0.11",
+    "@types/react-katex": "^3.0.0",
    "eslint": "8.35.0",
    "eslint-config-next": "13.2.3",
+    "eventsource-parser": "^0.1.0",
    "next": "^13.2.3",
    "openai": "^3.2.1",
    "react": "^18.2.0",
    "react-dom": "^18.2.0",
    "react-markdown": "^8.0.5",
+    "rehype-katex": "^6.0.2",
+    "remark-math": "^5.1.1",
    "typescript": "4.9.5",
    "zustand": "^4.3.6"
  }
--- a/yarn.lock
+++ b/yarn.lock
@ -1313,6 +1313,11 @@
  dependencies:
    "@types/ms" "*"

+"@types/global-tunnel-ng@^2.1.1":
+  version "2.1.1"
+  resolved "https://registry.npmmirror.com/@types/global-tunnel-ng/-/global-tunnel-ng-2.1.1.tgz#4f01cf93f7e51a6f97bdea5a11f49c742993f865"
+  integrity sha512-TikApqV8CkUsI1GGUgVydkJFrq9sYCBWv4fc/r3zvl6Oqe2YU1ASeWBrG5bw1D2XvS07YS3s05hCor/lEtIoYw==
+
 "@types/hast@^2.0.0":
  version "2.3.4"
  resolved "https://registry.npmmirror.com/@types/hast/-/hast-2.3.4.tgz#8aa5ef92c117d20d974a82bdfb6a648b08c0bafc"
@ -1325,6 +1330,11 @@
  resolved "https://registry.npmmirror.com/@types/json5/-/json5-0.0.29.tgz#ee28707ae94e11d2b827bcbe5270bcea7f3e71ee"
  integrity sha512-dRLjCWHYg4oaA77cxO64oO+7JwCwnIzkZPdrrC71jQmQtlhM556pwKo5bUzqvZndkVbeFLIIi+9TC40JNF5hNQ==

+"@types/katex@^0.11.0":
+  version "0.11.1"
+  resolved "https://registry.npmmirror.com/@types/katex/-/katex-0.11.1.tgz#34de04477dcf79e2ef6c8d23b41a3d81f9ebeaf5"
+  integrity sha512-DUlIj2nk0YnJdlWgsFuVKcX27MLW0KbKmGVoUHmFr+74FYYNUDAaj9ZqTADvsbE8rfxuVmSFc7KczYn5Y09ozg==
+
 "@types/mdast@^3.0.0":
  version "3.0.10"
  resolved "https://registry.npmmirror.com/@types/mdast/-/mdast-3.0.10.tgz#4724244a82a4598884cbbe9bcfd73dff927ee8af"
@ -1359,6 +1369,13 @@
  dependencies:
    "@types/react" "*"

+"@types/react-katex@^3.0.0":
+  version "3.0.0"
+  resolved "https://registry.npmmirror.com/@types/react-katex/-/react-katex-3.0.0.tgz#119a902bff10eb52f449fac744aaed8c4909391f"
+  integrity sha512-AiHHXh71a2M7Z6z1wj6iA23SkiRF9r0neHUdu8zjU/cT3MyLxDefYHbcceKhV/gjDEZgF3YaiNHyPNtoGUjPvg==
+  dependencies:
+    "@types/react" "*"
+
 "@types/react@*", "@types/react@^18.0.28":
  version "18.0.28"
  resolved "https://registry.npmmirror.com/@types/react/-/react-18.0.28.tgz#accaeb8b86f4908057ad629a26635fe641480065"
@ -1593,6 +1610,11 @@ boolbase@^1.0.0:
  resolved "https://registry.npmmirror.com/boolbase/-/boolbase-1.0.0.tgz#68dff5fbe60c51eb37725ea9e3ed310dcc1e776e"
  integrity sha512-JZOSA7Mo9sNGB8+UjSgzdLtokWAky1zbztM3WRLCbZ70/3cTANmQmOdR7y2g+J0e2WXywy1yS468tY+IruqEww==

+boolean@^3.0.1:
+  version "3.2.0"
+  resolved "https://registry.npmmirror.com/boolean/-/boolean-3.2.0.tgz#9e5294af4e98314494cbb17979fa54ca159f116b"
+  integrity sha512-d0II/GO9uf9lfUHH2BQsjxzRJZBdsjgsBiW4BvhWk/3qoKwQFjIDVN19PfX8F2D/r9PCMTtLWjYVCFrpeYUzsw==
+
 brace-expansion@^1.1.7:
  version "1.1.11"
  resolved "https://registry.npmmirror.com/brace-expansion/-/brace-expansion-1.1.11.tgz#3c7fcbf529d87226f3d2f52b966ff5271eb441dd"
@ -1714,11 +1736,24 @@ commander@^7.2.0:
  resolved "https://registry.npmmirror.com/commander/-/commander-7.2.0.tgz#a36cb57d0b501ce108e4d20559a150a391d97ab7"
  integrity sha512-QrWXB+ZQSVPmIWIhtEO9H+gwHaMGYiF5ChvoJ+K9ZGHG/sVsa6yiesAD1GC/x46sET00Xlwo1u49RVVVzvcSkw==

+commander@^8.0.0:
+  version "8.3.0"
+  resolved "https://registry.npmmirror.com/commander/-/commander-8.3.0.tgz#4837ea1b2da67b9c616a67afbb0fafee567bca66"
+  integrity sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==
+
 concat-map@0.0.1:
  version "0.0.1"
  resolved "https://registry.npmmirror.com/concat-map/-/concat-map-0.0.1.tgz#d8a96bd77fd68df7793a73036a3ba0d5405d477b"
  integrity sha512-/Srv4dswyQNBfohGpz9o6Yb3Gz3SrUDqBH5rTuhGR7ahtlbYKnVxw2bCFMRljaA7EXHaXZ8wsHdodFvbkhKmqg==

+config-chain@^1.1.11:
+  version "1.1.13"
+  resolved "https://registry.npmmirror.com/config-chain/-/config-chain-1.1.13.tgz#fad0795aa6a6cdaff9ed1b68e9dff94372c232f4"
+  integrity sha512-qj+f8APARXHrM0hraqXYb2/bOVSV4PvJQlNZ/DVj0QrmNM2q2euizkeuVckQ57J+W0mRH6Hvi+k50M4Jul2VRQ==
+  dependencies:
+    ini "^1.3.4"
+    proto-list "~1.2.1"
+
 convert-source-map@^1.7.0:
  version "1.9.0"
  resolved "https://registry.npmmirror.com/convert-source-map/-/convert-source-map-1.9.0.tgz#7faae62353fb4213366d0ca98358d22e8368b05f"
@ -1731,6 +1766,11 @@ core-js-compat@^3.25.1:
  dependencies:
    browserslist "^4.21.5"

+core-js@^3.6.5:
+  version "3.29.0"
+  resolved "https://registry.npmmirror.com/core-js/-/core-js-3.29.0.tgz#0273e142b67761058bcde5615c503c7406b572d6"
+  integrity sha512-VG23vuEisJNkGl6XQmFJd3rEG/so/CNatqeE+7uZAwTSwFeB/qaO0be8xZYUNWprJ/GIwL8aMt9cj1kvbpTZhg==
+
 cosmiconfig@^7.0.1:
  version "7.1.0"
  resolved "https://registry.npmmirror.com/cosmiconfig/-/cosmiconfig-7.1.0.tgz#1443b9afa596b670082ea46cbd8f6a62b84635f6"
@ -1742,14 +1782,7 @@ cosmiconfig@^7.0.1:
    path-type "^4.0.0"
    yaml "^1.10.0"

-cross-env@^7.0.3:
-  version "7.0.3"
-  resolved "https://registry.npmmirror.com/cross-env/-/cross-env-7.0.3.tgz#865264b29677dc015ba8418918965dd232fc54cf"
-  integrity sha512-+/HKd6EgcQCJGh2PSjZuUitQBQynKor4wrFbRg4DtAgS1aWO+gU52xpH7M9ScGgXSYmAVS9bIJ8EzuaGw0oNAw==
-  dependencies:
-    cross-spawn "^7.0.1"
-
-cross-spawn@^7.0.1, cross-spawn@^7.0.2, cross-spawn@^7.0.3:
+cross-spawn@^7.0.2, cross-spawn@^7.0.3:
  version "7.0.3"
  resolved "https://registry.npmmirror.com/cross-spawn/-/cross-spawn-7.0.3.tgz#f73a85b9d5d41d045551c177e2882d4ac85728a6"
  integrity sha512-iRDPJKUPVEND7dHPO8rkbOnPpyDygcDFtWjpeWNCgy8WP2rXcxXL8TskReQl6OrB2G7+UJrags1q15Fudc7G6w==
@ -1876,6 +1909,11 @@ dequal@^2.0.0:
  resolved "https://registry.npmmirror.com/dequal/-/dequal-2.0.3.tgz#2644214f1997d39ed0ee0ece72335490a7ac67be"
  integrity sha512-0je+qPKHEMohvfRTCEo3CrPG6cAzAYgmzKyxRiYSSDkS6eGJdyVJm7WaYA5ECaAD9wLB2T4EEeymA5aFVcYXCA==

+detect-node@^2.0.4:
+  version "2.1.0"
+  resolved "https://registry.npmmirror.com/detect-node/-/detect-node-2.1.0.tgz#c9c70775a49c3d03bc2c06d9a73be550f978f8b1"
+  integrity sha512-T0NIuQpnTvFDATNuHN5roPwSBG83rFsuO+MXXH9/3N1eFbn4wcPjttvjMLEPWJ0RGUYgQE7cGgS3tNxbqCGM7g==
+
 diff@^5.0.0:
  version "5.1.0"
  resolved "https://registry.npmmirror.com/diff/-/diff-5.1.0.tgz#bc52d298c5ea8df9194800224445ed43ffc87e40"
@ -1942,6 +1980,11 @@ emoji-regex@^9.2.2:
  resolved "https://registry.npmmirror.com/emoji-regex/-/emoji-regex-9.2.2.tgz#840c8803b0d8047f4ff0cf963176b32d4ef3ed72"
  integrity sha512-L18DaJsXSUk2+42pv8mLs5jJT2hqFkFE4j21wOmgbUqsZ2hL72NsUU785g9RXgo3s0ZNgVl42TiHp3ZtOv/Vyg==

+encodeurl@^1.0.2:
+  version "1.0.2"
+  resolved "https://registry.npmmirror.com/encodeurl/-/encodeurl-1.0.2.tgz#ad3ff4c86ec2d029322f5a02c3a9a606c95b3f59"
+  integrity sha512-TPJXq8JqFaVYm2CWmPvnP2Iyo4ZSM7/QKcSmuMLDObfpH5fi7RUGmd/rTDf+rut/saiDiQEeVTNgAmJEdAOx0w==
+
 enhanced-resolve@^5.10.0:
  version "5.12.0"
  resolved "https://registry.npmmirror.com/enhanced-resolve/-/enhanced-resolve-5.12.0.tgz#300e1c90228f5b570c4d35babf263f6da7155634"
@ -2046,6 +2089,11 @@ es-to-primitive@^1.2.1:
    is-date-object "^1.0.1"
    is-symbol "^1.0.2"

+es6-error@^4.1.1:
+  version "4.1.1"
+  resolved "https://registry.npmmirror.com/es6-error/-/es6-error-4.1.1.tgz#9e3af407459deed47e9a91f9b885a84eb05c561d"
+  integrity sha512-Um/+FxMr9CISWh0bi5Zv0iOD+4cFh5qLeks1qhAopKVAJw3drgKbKySikp7wGhDL0HPeaja0P5ULZrxLkniUVg==
+
 escalade@^3.1.1:
  version "3.1.1"
  resolved "https://registry.npmmirror.com/escalade/-/escalade-3.1.1.tgz#d8cfdc7000965c5a0174b4a82eaa5c0552742e40"
@ -2278,6 +2326,11 @@ esutils@^2.0.2:
  resolved "https://registry.npmmirror.com/esutils/-/esutils-2.0.3.tgz#74d2eb4de0b8da1293711910d50775b9b710ef64"
  integrity sha512-kVscqXk4OCp68SZ0dkgEKVi6/8ij300KBWTJq32P/dYeWTSwK41WyTxalN1eRmA5Z9UU/LX9D7FWSmV9SAYx6g==

+eventsource-parser@^0.1.0:
+  version "0.1.0"
+  resolved "https://registry.npmmirror.com/eventsource-parser/-/eventsource-parser-0.1.0.tgz#4a6b84751ca8e704040e6f7f50e7d77344fa1b7c"
+  integrity sha512-M9QjFtEIkwytUarnx113HGmgtk52LSn3jNAtnWKi3V+b9rqSfQeVdLsaD5AG/O4IrGQwmAAHBIsqbmURPTd2rA==
+
 extend@^3.0.0:
  version "3.0.2"
  resolved "https://registry.npmmirror.com/extend/-/extend-3.0.2.tgz#f8b1136b4071fbd8eb140aff858b1019ec2915fa"
@ -2462,6 +2515,29 @@ glob@^7.1.3:
    once "^1.3.0"
    path-is-absolute "^1.0.0"

+global-agent@^2.1.12:
+  version "2.2.0"
+  resolved "https://registry.npmmirror.com/global-agent/-/global-agent-2.2.0.tgz#566331b0646e6bf79429a16877685c4a1fbf76dc"
+  integrity sha512-+20KpaW6DDLqhG7JDiJpD1JvNvb8ts+TNl7BPOYcURqCrXqnN1Vf+XVOrkKJAFPqfX+oEhsdzOj1hLWkBTdNJg==
+  dependencies:
+    boolean "^3.0.1"
+    core-js "^3.6.5"
+    es6-error "^4.1.1"
+    matcher "^3.0.0"
+    roarr "^2.15.3"
+    semver "^7.3.2"
+    serialize-error "^7.0.1"
+
+global-tunnel-ng@^2.7.1:
+  version "2.7.1"
+  resolved "https://registry.npmmirror.com/global-tunnel-ng/-/global-tunnel-ng-2.7.1.tgz#d03b5102dfde3a69914f5ee7d86761ca35d57d8f"
+  integrity sha512-4s+DyciWBV0eK148wqXxcmVAbFVPqtc3sEtUE/GTQfuU80rySLcMhUmHKSHI7/LDj8q0gDYI1lIhRRB7ieRAqg==
+  dependencies:
+    encodeurl "^1.0.2"
+    lodash "^4.17.10"
+    npm-conf "^1.1.3"
+    tunnel "^0.0.6"
+
 globals@^11.1.0:
  version "11.12.0"
  resolved "https://registry.npmmirror.com/globals/-/globals-11.12.0.tgz#ab8795338868a0babd8525758018c2a7eb95c42e"
@ -2474,7 +2550,7 @@ globals@^13.19.0:
  dependencies:
    type-fest "^0.20.2"

-globalthis@^1.0.3:
+globalthis@^1.0.1, globalthis@^1.0.3:
  version "1.0.3"
  resolved "https://registry.npmmirror.com/globalthis/-/globalthis-1.0.3.tgz#5852882a52b80dc301b0660273e1ed082f0b6ccf"
  integrity sha512-sFdI5LyBiNTHjRd7cGPWapiHWMOXKyuBNX/cWJ3NfzrZQVa8GI/8cofCl74AOVqq9W5kNmguTIzJ/1s2gyI9wA==
@ -2577,11 +2653,60 @@ has@^1.0.3:
  dependencies:
    function-bind "^1.1.1"

+hast-util-from-parse5@^7.0.0:
+  version "7.1.2"
+  resolved "https://registry.npmmirror.com/hast-util-from-parse5/-/hast-util-from-parse5-7.1.2.tgz#aecfef73e3ceafdfa4550716443e4eb7b02e22b0"
+  integrity sha512-Nz7FfPBuljzsN3tCQ4kCBKqdNhQE2l0Tn+X1ubgKBPRoiDIu1mL08Cfw4k7q71+Duyaw7DXDN+VTAp4Vh3oCOw==
+  dependencies:
+    "@types/hast" "^2.0.0"
+    "@types/unist" "^2.0.0"
+    hastscript "^7.0.0"
+    property-information "^6.0.0"
+    vfile "^5.0.0"
+    vfile-location "^4.0.0"
+    web-namespaces "^2.0.0"
+
+hast-util-is-element@^2.0.0:
+  version "2.1.3"
+  resolved "https://registry.npmmirror.com/hast-util-is-element/-/hast-util-is-element-2.1.3.tgz#cd3279cfefb70da6d45496068f020742256fc471"
+  integrity sha512-O1bKah6mhgEq2WtVMk+Ta5K7pPMqsBBlmzysLdcwKVrqzZQ0CHqUPiIVspNhAG1rvxpvJjtGee17XfauZYKqVA==
+  dependencies:
+    "@types/hast" "^2.0.0"
+    "@types/unist" "^2.0.0"
+
+hast-util-parse-selector@^3.0.0:
+  version "3.1.1"
+  resolved "https://registry.npmmirror.com/hast-util-parse-selector/-/hast-util-parse-selector-3.1.1.tgz#25ab00ae9e75cbc62cf7a901f68a247eade659e2"
+  integrity sha512-jdlwBjEexy1oGz0aJ2f4GKMaVKkA9jwjr4MjAAI22E5fM/TXVZHuS5OpONtdeIkRKqAaryQ2E9xNQxijoThSZA==
+  dependencies:
+    "@types/hast" "^2.0.0"
+
+hast-util-to-text@^3.1.0:
+  version "3.1.2"
+  resolved "https://registry.npmmirror.com/hast-util-to-text/-/hast-util-to-text-3.1.2.tgz#ecf30c47141f41e91a5d32d0b1e1859fd2ac04f2"
+  integrity sha512-tcllLfp23dJJ+ju5wCCZHVpzsQQ43+moJbqVX3jNWPB7z/KFC4FyZD6R7y94cHL6MQ33YtMZL8Z0aIXXI4XFTw==
+  dependencies:
+    "@types/hast" "^2.0.0"
+    "@types/unist" "^2.0.0"
+    hast-util-is-element "^2.0.0"
+    unist-util-find-after "^4.0.0"
+
 hast-util-whitespace@^2.0.0:
  version "2.0.1"
  resolved "https://registry.npmmirror.com/hast-util-whitespace/-/hast-util-whitespace-2.0.1.tgz#0ec64e257e6fc216c7d14c8a1b74d27d650b4557"
  integrity sha512-nAxA0v8+vXSBDt3AnRUNjyRIQ0rD+ntpbAp4LnPkumc5M9yUbSMa4XDU9Q6etY4f1Wp4bNgvc1yjiZtsTTrSng==

+hastscript@^7.0.0:
+  version "7.2.0"
+  resolved "https://registry.npmmirror.com/hastscript/-/hastscript-7.2.0.tgz#0eafb7afb153d047077fa2a833dc9b7ec604d10b"
+  integrity sha512-TtYPq24IldU8iKoJQqvZOuhi5CyCQRAbvDOX0x1eW6rsHSxa/1i2CCiptNTotGHJ3VoHRGmqiv6/D3q113ikkw==
+  dependencies:
+    "@types/hast" "^2.0.0"
+    comma-separated-tokens "^2.0.0"
+    hast-util-parse-selector "^3.0.0"
+    property-information "^6.0.0"
+    space-separated-tokens "^2.0.0"
+
 ignore@^5.2.0:
  version "5.2.4"
  resolved "https://registry.npmmirror.com/ignore/-/ignore-5.2.4.tgz#a291c0c6178ff1b960befe47fcdec301674a6324"
@ -2613,6 +2738,16 @@ inherits@2:
  resolved "https://registry.npmmirror.com/inherits/-/inherits-2.0.4.tgz#0fa2c64f932917c3433a0ded55363aae37416b7c"
  integrity sha512-k/vGaX4/Yla3WzyMCvTQOXYeIHvqOKtnqBduzTHpzpQZzAskKMhZ2K+EnBiSM9zGSoIFeMpXKxa4dYeZIQqewQ==

+inherits@2.0.3:
+  version "2.0.3"
+  resolved "https://registry.npmmirror.com/inherits/-/inherits-2.0.3.tgz#633c2c83e3da42a502f52466022480f4208261de"
+  integrity sha512-x00IRNXNy63jwGkJmzPigoySHbaqpNuzKbBOmzK+g2OdZpQ9w+sxCN+VSB3ja7IAge2OP2qpfxTjeNcyjmW1uw==
+
+ini@^1.3.4:
+  version "1.3.8"
+  resolved "https://registry.npmmirror.com/ini/-/ini-1.3.8.tgz#a29da425b48806f34767a4efce397269af28432c"
+  integrity sha512-JV/yugV2uzW5iMRSiZAyDtQd+nxtUnjeLt0acNdw98kKLrvuRVyB80tsREOE7yvGVgalhZ6RNXCmEHkUKBKxew==
+
 inline-style-parser@0.1.1:
  version "0.1.1"
  resolved "https://registry.npmmirror.com/inline-style-parser/-/inline-style-parser-0.1.1.tgz#ec8a3b429274e9c0a1f1c4ffa9453a7fef72cea1"
@ -2861,6 +2996,11 @@ json-stable-stringify-without-jsonify@^1.0.1:
  resolved "https://registry.npmmirror.com/json-stable-stringify-without-jsonify/-/json-stable-stringify-without-jsonify-1.0.1.tgz#9db7b59496ad3f3cfef30a75142d2d930ad72651"
  integrity sha512-Bdboy+l7tA3OGW6FjyFHWkP5LuByj1Tk33Ljyq0axyzdk9//JSi2u3fP1QSmd1KNwq6VOKYGlAu87CisVir6Pw==

+json-stringify-safe@^5.0.1:
+  version "5.0.1"
+  resolved "https://registry.npmmirror.com/json-stringify-safe/-/json-stringify-safe-5.0.1.tgz#1296a2d58fd45f19a0f6ce01d65701e2c735b6eb"
+  integrity sha512-ZClg6AaYvamvYEE82d3Iyd3vSSIjQ+odgjaTzRuO3s7toCdFKczob2i0zCh7JE8kWn17yvAWhUVxvqGwUalsRA==
+
 json5@^1.0.2:
  version "1.0.2"
  resolved "https://registry.npmmirror.com/json5/-/json5-1.0.2.tgz#63d98d60f21b313b77c4d6da18bfa69d80e1d593"
@ -2881,6 +3021,27 @@ json5@^2.2.2:
    array-includes "^3.1.5"
    object.assign "^4.1.3"

+katex@^0.13.0:
+  version "0.13.24"
+  resolved "https://registry.npmmirror.com/katex/-/katex-0.13.24.tgz#fe55455eb455698cb24b911a353d16a3c855d905"
+  integrity sha512-jZxYuKCma3VS5UuxOx/rFV1QyGSl3Uy/i0kTJF3HgQ5xMinCQVF8Zd4bMY/9aI9b9A2pjIBOsjSSm68ykTAr8w==
+  dependencies:
+    commander "^8.0.0"
+
+katex@^0.15.0:
+  version "0.15.6"
+  resolved "https://registry.npmmirror.com/katex/-/katex-0.15.6.tgz#c4e2f6ced2ac4de1ef6f737fe7c67d3026baa0e5"
+  integrity sha512-UpzJy4yrnqnhXvRPhjEuLA4lcPn6eRngixW7Q3TJErjg3Aw2PuLFBzTkdUb89UtumxjhHTqL3a5GDGETMSwgJA==
+  dependencies:
+    commander "^8.0.0"
+
+katex@^0.16.0:
+  version "0.16.4"
+  resolved "https://registry.npmmirror.com/katex/-/katex-0.16.4.tgz#87021bc3bbd80586ef715aeb476794cba6a49ad4"
+  integrity sha512-WudRKUj8yyBeVDI4aYMNxhx5Vhh2PjpzQw1GRu/LVGqL4m1AxwD1GcUp0IMbdJaf5zsjtj8ghP0DOQRYhroNkw==
+  dependencies:
+    commander "^8.0.0"
+
 kleur@^4.0.3:
  version "4.1.5"
  resolved "https://registry.npmmirror.com/kleur/-/kleur-4.1.5.tgz#95106101795f7050c6c650f350c683febddb1780"
@ -2928,6 +3089,16 @@ lodash.merge@^4.6.2:
  resolved "https://registry.npmmirror.com/lodash.merge/-/lodash.merge-4.6.2.tgz#558aa53b43b661e1925a0afdfa36a9a1085fe57a"
  integrity sha512-0KpjqXRVvrYyCsX1swR/XTK0va6VQkQM6MNo7PqW77ByjAhoARA8EfrP1N4+KlKj8YS0ZUCtRT/YUuhyYDujIQ==

+lodash@^4.17.10:
+  version "4.17.21"
+  resolved "https://registry.npmmirror.com/lodash/-/lodash-4.17.21.tgz#679591c564c3bffaae8454cf0b3df370c3d6911c"
+  integrity sha512-v2kDEe57lecTulaDIuNTPy3Ry4gLGJ6Z1O3vE1krgXZNrsQ+LFTGHVxVjcXPs17LhbZVGedAJv8XZ1tvj5FvSg==
+
+longest-streak@^3.0.0:
+  version "3.1.0"
+  resolved "https://registry.npmmirror.com/longest-streak/-/longest-streak-3.1.0.tgz#62fa67cd958742a1574af9f39866364102d90cd4"
+  integrity sha512-9Ri+o0JYgehTaVBBDoMqIl8GXtbWg711O3srftcHhZ0dqnETqLaoIK0x17fUw9rFSlK/0NlsKe0Ahhyl5pXE2g==
+
 loose-envify@^1.1.0, loose-envify@^1.4.0:
  version "1.4.0"
  resolved "https://registry.npmmirror.com/loose-envify/-/loose-envify-1.4.0.tgz#71ee51fa7be4caec1a63839f7e682d8132d30caf"
@ -2949,6 +3120,13 @@ lru-cache@^6.0.0:
  dependencies:
    yallist "^4.0.0"

+matcher@^3.0.0:
+  version "3.0.0"
+  resolved "https://registry.npmmirror.com/matcher/-/matcher-3.0.0.tgz#bd9060f4c5b70aa8041ccc6f80368760994f30ca"
+  integrity sha512-OkeDaAZ/bQCxeFAozM55PKcKU0yJMPGifLwV4Qgjitu+5MoAfSQN4lsLJeXZ1b8w0x+/Emda6MZgXS1jvsapng==
+  dependencies:
+    escape-string-regexp "^4.0.0"
+
 mdast-util-definitions@^5.0.0:
  version "5.1.2"
  resolved "https://registry.npmmirror.com/mdast-util-definitions/-/mdast-util-definitions-5.1.2.tgz#9910abb60ac5d7115d6819b57ae0bcef07a3f7a7"
@ -2976,6 +3154,23 @@ mdast-util-from-markdown@^1.0.0:
    unist-util-stringify-position "^3.0.0"
    uvu "^0.5.0"

+mdast-util-math@^2.0.0:
+  version "2.0.2"
+  resolved "https://registry.npmmirror.com/mdast-util-math/-/mdast-util-math-2.0.2.tgz#19a06a81f31643f48cc805e7c31edb7ce739242c"
+  integrity sha512-8gmkKVp9v6+Tgjtq6SYx9kGPpTf6FVYRa53/DLh479aldR9AyP48qeVOgNZ5X7QUK7nOy4yw7vg6mbiGcs9jWQ==
+  dependencies:
+    "@types/mdast" "^3.0.0"
+    longest-streak "^3.0.0"
+    mdast-util-to-markdown "^1.3.0"
+
+mdast-util-phrasing@^3.0.0:
+  version "3.0.1"
+  resolved "https://registry.npmmirror.com/mdast-util-phrasing/-/mdast-util-phrasing-3.0.1.tgz#c7c21d0d435d7fb90956038f02e8702781f95463"
+  integrity sha512-WmI1gTXUBJo4/ZmSk79Wcb2HcjPJBzM1nlI/OUWA8yk2X9ik3ffNbBGsU+09BFmXaL1IBb9fiuvq6/KMiNycSg==
+  dependencies:
+    "@types/mdast" "^3.0.0"
+    unist-util-is "^5.0.0"
+
 mdast-util-to-hast@^12.1.0:
  version "12.3.0"
  resolved "https://registry.npmmirror.com/mdast-util-to-hast/-/mdast-util-to-hast-12.3.0.tgz#045d2825fb04374e59970f5b3f279b5700f6fb49"
@ -2990,7 +3185,21 @@ mdast-util-to-hast@^12.1.0:
    unist-util-position "^4.0.0"
    unist-util-visit "^4.0.0"

-mdast-util-to-string@^3.1.0:
+mdast-util-to-markdown@^1.3.0:
+  version "1.5.0"
+  resolved "https://registry.npmmirror.com/mdast-util-to-markdown/-/mdast-util-to-markdown-1.5.0.tgz#c13343cb3fc98621911d33b5cd42e7d0731171c6"
+  integrity sha512-bbv7TPv/WC49thZPg3jXuqzuvI45IL2EVAr/KxF0BSdHsU0ceFHOmwQn6evxAh1GaoK/6GQ1wp4R4oW2+LFL/A==
+  dependencies:
+    "@types/mdast" "^3.0.0"
+    "@types/unist" "^2.0.0"
+    longest-streak "^3.0.0"
+    mdast-util-phrasing "^3.0.0"
+    mdast-util-to-string "^3.0.0"
+    micromark-util-decode-string "^1.0.0"
+    unist-util-visit "^4.0.0"
+    zwitch "^2.0.0"
+
+mdast-util-to-string@^3.0.0, mdast-util-to-string@^3.1.0:
  version "3.1.1"
  resolved "https://registry.npmmirror.com/mdast-util-to-string/-/mdast-util-to-string-3.1.1.tgz#db859050d79d48cf9896d294de06f3ede7474d16"
  integrity sha512-tGvhT94e+cVnQt8JWE9/b3cUQZWS732TJxXHktvP+BYo62PpYD53Ls/6cC60rW21dW+txxiM4zMdc6abASvZKA==
@ -3029,6 +3238,19 @@ micromark-core-commonmark@^1.0.1:
    micromark-util-types "^1.0.1"
    uvu "^0.5.0"

+micromark-extension-math@^2.0.0:
+  version "2.0.2"
+  resolved "https://registry.npmmirror.com/micromark-extension-math/-/micromark-extension-math-2.0.2.tgz#bb7d28b907b17f1813dd3d0df2a6df6bb1a4d0e1"
+  integrity sha512-cFv2B/E4pFPBBFuGgLHkkNiFAIQv08iDgPH2HCuR2z3AUgMLecES5Cq7AVtwOtZeRrbA80QgMUk8VVW0Z+D2FA==
+  dependencies:
+    "@types/katex" "^0.11.0"
+    katex "^0.13.0"
+    micromark-factory-space "^1.0.0"
+    micromark-util-character "^1.0.0"
+    micromark-util-symbol "^1.0.0"
+    micromark-util-types "^1.0.0"
+    uvu "^0.5.0"
+
 micromark-factory-destination@^1.0.0:
  version "1.0.0"
  resolved "https://registry.npmmirror.com/micromark-factory-destination/-/micromark-factory-destination-1.0.0.tgz#fef1cb59ad4997c496f887b6977aa3034a5a277e"
@ -3284,11 +3506,27 @@ next@^13.2.3:
    "@next/swc-win32-ia32-msvc" "13.2.4"
    "@next/swc-win32-x64-msvc" "13.2.4"

+node-global-proxy@^1.0.1:
+  version "1.0.1"
+  resolved "https://registry.npmmirror.com/node-global-proxy/-/node-global-proxy-1.0.1.tgz#6d1f66ed60427cb3f70066f7da0b70c78a1547a4"
+  integrity sha512-pKGD42p81TFbrUudDBtApwri2Ho1xjm3ozmXhHLIRpwgXk18KvPMv0ubDZLD8gNI6q/Jzc2zK6jNbga8j+FRSw==
+  dependencies:
+    global-agent "^2.1.12"
+    global-tunnel-ng "^2.7.1"
+
 node-releases@^2.0.8:
  version "2.0.10"
  resolved "https://registry.npmmirror.com/node-releases/-/node-releases-2.0.10.tgz#c311ebae3b6a148c89b1813fd7c4d3c024ef537f"
  integrity sha512-5GFldHPXVG/YZmFzJvKK2zDSzPKhEp0+ZR5SVaoSag9fsL5YgHbUHDfnG5494ISANDcK4KwPXAx2xqVEydmd7w==

+npm-conf@^1.1.3:
+  version "1.1.3"
+  resolved "https://registry.npmmirror.com/npm-conf/-/npm-conf-1.1.3.tgz#256cc47bd0e218c259c4e9550bf413bc2192aff9"
+  integrity sha512-Yic4bZHJOt9RCFbRP3GgpqhScOY4HH3V2P8yBj6CeYq118Qr+BLXqT2JvpJ00mryLESpgOxf5XlFv4ZjXxLScw==
+  dependencies:
+    config-chain "^1.1.11"
+    pify "^3.0.0"
+
 nth-check@^2.0.1:
  version "2.1.1"
  resolved "https://registry.npmmirror.com/nth-check/-/nth-check-2.1.1.tgz#c9eab428effce36cd6b92c924bdb000ef1f1ed1d"
@ -3431,6 +3669,11 @@ parse-json@^5.0.0:
    json-parse-even-better-errors "^2.3.0"
    lines-and-columns "^1.1.6"

+parse5@^6.0.0:
+  version "6.0.1"
+  resolved "https://registry.npmmirror.com/parse5/-/parse5-6.0.1.tgz#e1a1c085c569b3dc08321184f19a39cc27f7c30b"
+  integrity sha512-Ofn/CTFzRGTTxwpNEs9PP93gXShHcTq255nzRYSKe8AkVpZY7e1fpmTfOyoIvjP5HG7Z2ZM7VS9PPhQGW2pOpw==
+
 path-exists@^4.0.0:
  version "4.0.0"
  resolved "https://registry.npmmirror.com/path-exists/-/path-exists-4.0.0.tgz#513bdbe2d3b95d7762e8c1137efa195c6c61b5b3"
@ -3456,6 +3699,14 @@ path-type@^4.0.0:
  resolved "https://registry.npmmirror.com/path-type/-/path-type-4.0.0.tgz#84ed01c0a7ba380afe09d90a8c180dcd9d03043b"
  integrity sha512-gDKb8aZMDeD/tZWs9P6+q0J9Mwkdl6xMV8TjnGP3qJVJ06bdMgkbBlLU8IdfOsIsFz2BW1rNVT3XuNEl8zPAvw==

+path@^0.12.7:
+  version "0.12.7"
+  resolved "https://registry.npmmirror.com/path/-/path-0.12.7.tgz#d4dc2a506c4ce2197eb481ebfcd5b36c0140b10f"
+  integrity sha512-aXXC6s+1w7otVF9UletFkFcDsJeO7lSZBPUQhtb5O0xJe8LtYhj/GxldoL09bBj9+ZmE2hNoHqQSFMN5fikh4Q==
+  dependencies:
+    process "^0.11.1"
+    util "^0.10.3"
+
 picocolors@^1.0.0:
  version "1.0.0"
  resolved "https://registry.npmmirror.com/picocolors/-/picocolors-1.0.0.tgz#cb5bdc74ff3f51892236eaf79d68bc44564ab81c"
@ -3466,6 +3717,11 @@ picomatch@^2.3.1:
  resolved "https://registry.npmmirror.com/picomatch/-/picomatch-2.3.1.tgz#3ba3833733646d9d3e4995946c1365a67fb07a42"
  integrity sha512-JU3teHTNjmE2VCGFzuY8EXzCDVwEqB2a8fsIvwaStHhAWJEeVd1o1QD80CU6+ZdEXXSLbSsuLwJjkCBWqRQUVA==

+pify@^3.0.0:
+  version "3.0.0"
+  resolved "https://registry.npmmirror.com/pify/-/pify-3.0.0.tgz#e5a4acd2c101fdf3d9a4d07f0dbc4db49dd28176"
+  integrity sha512-C3FsVNH1udSEX48gGX1xfvwTWfsYWj5U+8/uK15BGzIGrKoUpghX8hWZwa/OFnakBiiVNmBvemTJR5mcy7iPcg==
+
 postcss@8.4.14:
  version "8.4.14"
  resolved "https://registry.npmmirror.com/postcss/-/postcss-8.4.14.tgz#ee9274d5622b4858c1007a74d76e42e56fd21caf"
@ -3480,6 +3736,11 @@ prelude-ls@^1.2.1:
  resolved "https://registry.npmmirror.com/prelude-ls/-/prelude-ls-1.2.1.tgz#debc6489d7a6e6b0e7611888cec880337d316396"
  integrity sha512-vkcDPrRZo1QZLbn5RLGPpg/WmIQ65qoWWhcGKf/b5eplkkarX0m9z8ppCat4mlOqUsWpyNuYgO3VRyrYHSzX5g==

+process@^0.11.1:
+  version "0.11.10"
+  resolved "https://registry.npmmirror.com/process/-/process-0.11.10.tgz#7332300e840161bda3e69a1d1d91a7d4bc16f182"
+  integrity sha512-cdGef/drWFoydD1JsMzuFf8100nZl+GT+yacc2bEced5f9Rjk4z+WtFUTBu9PhOi9j/jfmBPu0mMEY4wIdAF8A==
+
 prop-types@^15.0.0, prop-types@^15.8.1:
  version "15.8.1"
  resolved "https://registry.npmmirror.com/prop-types/-/prop-types-15.8.1.tgz#67d87bf1a694f48435cf332c24af10214a3140b5"
@ -3494,6 +3755,11 @@ property-information@^6.0.0:
  resolved "https://registry.npmmirror.com/property-information/-/property-information-6.2.0.tgz#b74f522c31c097b5149e3c3cb8d7f3defd986a1d"
  integrity sha512-kma4U7AFCTwpqq5twzC1YVIDXSqg6qQK6JN0smOw8fgRy1OkMi0CYSzFmsy6dnqSenamAtj0CyXMUJ1Mf6oROg==

+proto-list@~1.2.1:
+  version "1.2.4"
+  resolved "https://registry.npmmirror.com/proto-list/-/proto-list-1.2.4.tgz#212d5bfe1318306a420f6402b8e26ff39647a849"
+  integrity sha512-vtK/94akxsTMhe0/cbfpR+syPuszcuwhqVjJq26CuNDgFGj682oRBXOP5MJpv2r7JtE8MsiepGIqvvOTBwn2vA==
+
 punycode@^2.1.0:
  version "2.3.0"
  resolved "https://registry.npmmirror.com/punycode/-/punycode-2.3.0.tgz#f67fa67c94da8f4d0cfff981aee4118064199b8f"
@ -3522,6 +3788,13 @@ react-is@^18.0.0:
  resolved "https://registry.npmmirror.com/react-is/-/react-is-18.2.0.tgz#199431eeaaa2e09f86427efbb4f1473edb47609b"
  integrity sha512-xWGDIW6x921xtzPkhiULtthJHoJvBbF3q26fzloPCK0hsvxtPVelvftw3zjbHWSkR2km9Z+4uxbDDK/6Zw9B8w==

+react-katex@^3.0.1:
+  version "3.0.1"
+  resolved "https://registry.npmmirror.com/react-katex/-/react-katex-3.0.1.tgz#262b44f49c5fa727f1d13cbab595f791318e5083"
+  integrity sha512-wIUW1fU5dHlkKvq4POfDkHruQsYp3fM8xNb/jnc8dnQ+nNCnaj0sx5pw7E6UyuEdLRyFKK0HZjmXBo+AtXXy0A==
+  dependencies:
+    katex "^0.16.0"
+
 react-markdown@^8.0.5:
  version "8.0.5"
  resolved "https://registry.npmmirror.com/react-markdown/-/react-markdown-8.0.5.tgz#c9a70a33ca9aeeafb769c6582e7e38843b9d70ad"
@ -3607,6 +3880,40 @@ regjsparser@^0.9.1:
  dependencies:
    jsesc "~0.5.0"

+rehype-katex@^6.0.2:
+  version "6.0.2"
+  resolved "https://registry.npmmirror.com/rehype-katex/-/rehype-katex-6.0.2.tgz#20197bbc10bdf79f6b999bffa6689d7f17226c35"
+  integrity sha512-C4gDAlS1+l0hJqctyiU64f9CvT00S03qV1T6HiMzbSuLBgWUtcqydWHY9OpKrm0SpkK16FNd62CDKyWLwV2ppg==
+  dependencies:
+    "@types/hast" "^2.0.0"
+    "@types/katex" "^0.11.0"
+    hast-util-to-text "^3.1.0"
+    katex "^0.15.0"
+    rehype-parse "^8.0.0"
+    unified "^10.0.0"
+    unist-util-remove-position "^4.0.0"
+    unist-util-visit "^4.0.0"
+
+rehype-parse@^8.0.0:
+  version "8.0.4"
+  resolved "https://registry.npmmirror.com/rehype-parse/-/rehype-parse-8.0.4.tgz#3d17c9ff16ddfef6bbcc8e6a25a99467b482d688"
+  integrity sha512-MJJKONunHjoTh4kc3dsM1v3C9kGrrxvA3U8PxZlP2SjH8RNUSrb+lF7Y0KVaUDnGH2QZ5vAn7ulkiajM9ifuqg==
+  dependencies:
+    "@types/hast" "^2.0.0"
+    hast-util-from-parse5 "^7.0.0"
+    parse5 "^6.0.0"
+    unified "^10.0.0"
+
+remark-math@^5.1.1:
+  version "5.1.1"
+  resolved "https://registry.npmmirror.com/remark-math/-/remark-math-5.1.1.tgz#459e798d978d4ca032e745af0bac81ddcdf94964"
+  integrity sha512-cE5T2R/xLVtfFI4cCePtiRn+e6jKMtFDR3P8V3qpv8wpKjwvHoBA4eJzvX+nVrnlNy0911bdGmuspCSwetfYHw==
+  dependencies:
+    "@types/mdast" "^3.0.0"
+    mdast-util-math "^2.0.0"
+    micromark-extension-math "^2.0.0"
+    unified "^10.0.0"
+
 remark-parse@^10.0.0:
  version "10.0.1"
  resolved "https://registry.npmmirror.com/remark-parse/-/remark-parse-10.0.1.tgz#6f60ae53edbf0cf38ea223fe643db64d112e0775"
@ -3661,6 +3968,18 @@ rimraf@^3.0.2:
  dependencies:
    glob "^7.1.3"

+roarr@^2.15.3:
+  version "2.15.4"
+  resolved "https://registry.npmmirror.com/roarr/-/roarr-2.15.4.tgz#f5fe795b7b838ccfe35dc608e0282b9eba2e7afd"
+  integrity sha512-CHhPh+UNHD2GTXNYhPWLnU8ONHdI+5DI+4EYIAOaiD63rHeYlZvyh8P+in5999TTSFgUYuKUAjzRI4mdh/p+2A==
+  dependencies:
+    boolean "^3.0.1"
+    detect-node "^2.0.4"
+    globalthis "^1.0.1"
+    json-stringify-safe "^5.0.1"
+    semver-compare "^1.0.0"
+    sprintf-js "^1.1.2"
+
 run-parallel@^1.1.9:
  version "1.2.0"
  resolved "https://registry.npmmirror.com/run-parallel/-/run-parallel-1.2.0.tgz#66d1368da7bdf921eb9d95bd1a9229e7f21a43ee"
@ -3691,18 +4010,30 @@ scheduler@^0.23.0:
  dependencies:
    loose-envify "^1.1.0"

+semver-compare@^1.0.0:
+  version "1.0.0"
+  resolved "https://registry.npmmirror.com/semver-compare/-/semver-compare-1.0.0.tgz#0dee216a1c941ab37e9efb1788f6afc5ff5537fc"
+  integrity sha512-YM3/ITh2MJ5MtzaM429anh+x2jiLVjqILF4m4oyQB18W7Ggea7BfqdH/wGMK7dDiMghv/6WG7znWMwUDzJiXow==
+
 semver@^6.1.1, semver@^6.1.2, semver@^6.3.0:
  version "6.3.0"
  resolved "https://registry.npmmirror.com/semver/-/semver-6.3.0.tgz#ee0a64c8af5e8ceea67687b133761e1becbd1d3d"
  integrity sha512-b39TBaTSfV6yBrapU89p5fKekE2m/NwnDocOVruQFS1/veMgdzuPcnOM34M6CwxW8jH/lxEa5rBoDeUwu5HHTw==

-semver@^7.3.7:
+semver@^7.3.2, semver@^7.3.7:
  version "7.3.8"
  resolved "https://registry.npmmirror.com/semver/-/semver-7.3.8.tgz#07a78feafb3f7b32347d725e33de7e2a2df67798"
  integrity sha512-NB1ctGL5rlHrPJtFDVIVzTyQylMLu9N9VICA6HSFJo8MCGVTMW6gfpicwKmmK/dAjTOrqu5l63JJOpDSrAis3A==
  dependencies:
    lru-cache "^6.0.0"

+serialize-error@^7.0.1:
+  version "7.0.1"
+  resolved "https://registry.npmmirror.com/serialize-error/-/serialize-error-7.0.1.tgz#f1360b0447f61ffb483ec4157c737fab7d778e18"
+  integrity sha512-8I8TjW5KMOKsZQTvoxjuSIa7foAwPWGOts+6o7sgjz41/qMD9VQHEDxi6PBvK2l0MXUmqZyNpUK+T2tQaaElvw==
+  dependencies:
+    type-fest "^0.13.1"
+
 shebang-command@^2.0.0:
  version "2.0.0"
  resolved "https://registry.npmmirror.com/shebang-command/-/shebang-command-2.0.0.tgz#ccd0af4f8835fbdc265b82461aaf0c36663f34ea"
@ -3749,6 +4080,11 @@ space-separated-tokens@^2.0.0:
  resolved "https://registry.npmmirror.com/space-separated-tokens/-/space-separated-tokens-2.0.2.tgz#1ecd9d2350a3844572c3f4a312bceb018348859f"
  integrity sha512-PEGlAwrG8yXGXRjW32fGbg66JAlOAwbObuqVoJpv/mRgoWDQfgH1wDPvtzWyUSNAXBGSk8h755YDbbcEy3SH2Q==

+sprintf-js@^1.1.2:
+  version "1.1.2"
+  resolved "https://registry.npmmirror.com/sprintf-js/-/sprintf-js-1.1.2.tgz#da1765262bf8c0f571749f2ad6c26300207ae673"
+  integrity sha512-VE0SOVEHCk7Qc8ulkWw3ntAzXuqf7S2lvwQaDLRnUeIEaKNQJzV6BwmLKhOqT61aGhfUMrXeaBk+oDGCzvhcug==
+
 stable@^0.1.8:
  version "0.1.8"
  resolved "https://registry.npmmirror.com/stable/-/stable-0.1.8.tgz#836eb3c8382fe2936feaf544631017ce7d47a3cf"
@ -3936,6 +4272,11 @@ tsutils@^3.21.0:
  dependencies:
    tslib "^1.8.1"

+tunnel@^0.0.6:
+  version "0.0.6"
+  resolved "https://registry.npmmirror.com/tunnel/-/tunnel-0.0.6.tgz#72f1314b34a5b192db012324df2cc587ca47f92c"
+  integrity sha512-1h/Lnq9yajKY2PEbBadPXj3VxsDDu844OnaAo52UVmIzIvwwtBPIuNvkjuzBlTWpfJyUbG3ez0KSBibQkj4ojg==
+
 type-check@^0.4.0, type-check@~0.4.0:
  version "0.4.0"
  resolved "https://registry.npmmirror.com/type-check/-/type-check-0.4.0.tgz#07b8203bfa7056c0657050e3ccd2c37730bab8f1"
@ -3943,6 +4284,11 @@ type-check@^0.4.0, type-check@~0.4.0:
  dependencies:
    prelude-ls "^1.2.1"

+type-fest@^0.13.1:
+  version "0.13.1"
+  resolved "https://registry.npmmirror.com/type-fest/-/type-fest-0.13.1.tgz#0172cb5bce80b0bd542ea348db50c7e21834d934"
+  integrity sha512-34R7HTnG0XIJcBSn5XhDd7nNFPRcXYRZrBB2O2jdKqYODldSzBAqzsWoZYYvduky73toYS/ESqxPvkDf/F0XMg==
+
 type-fest@^0.20.2:
  version "0.20.2"
  resolved "https://registry.npmmirror.com/type-fest/-/type-fest-0.20.2.tgz#1bf207f4b28f91583666cb5fbd327887301cd5f4"
@ -4008,6 +4354,14 @@ unified@^10.0.0:
    trough "^2.0.0"
    vfile "^5.0.0"

+unist-util-find-after@^4.0.0:
+  version "4.0.1"
+  resolved "https://registry.npmmirror.com/unist-util-find-after/-/unist-util-find-after-4.0.1.tgz#80c69c92b0504033638ce11973f4135f2c822e2d"
+  integrity sha512-QO/PuPMm2ERxC6vFXEPtmAutOopy5PknD+Oq64gGwxKtk4xwo9Z97t9Av1obPmGU0IyTa6EKYUfTrK2QJS3Ozw==
+  dependencies:
+    "@types/unist" "^2.0.0"
+    unist-util-is "^5.0.0"
+
 unist-util-generated@^2.0.0:
  version "2.0.1"
  resolved "https://registry.npmmirror.com/unist-util-generated/-/unist-util-generated-2.0.1.tgz#e37c50af35d3ed185ac6ceacb6ca0afb28a85cae"
@ -4027,6 +4381,14 @@ unist-util-position@^4.0.0:
  dependencies:
    "@types/unist" "^2.0.0"

+unist-util-remove-position@^4.0.0:
+  version "4.0.2"
+  resolved "https://registry.npmmirror.com/unist-util-remove-position/-/unist-util-remove-position-4.0.2.tgz#a89be6ea72e23b1a402350832b02a91f6a9afe51"
+  integrity sha512-TkBb0HABNmxzAcfLf4qsIbFbaPDvMO6wa3b3j4VcEzFVaw1LBKwnW4/sRJ/atSLSzoIg41JWEdnE7N6DIhGDGQ==
+  dependencies:
+    "@types/unist" "^2.0.0"
+    unist-util-visit "^4.0.0"
+
 unist-util-stringify-position@^3.0.0:
  version "3.0.3"
  resolved "https://registry.npmmirror.com/unist-util-stringify-position/-/unist-util-stringify-position-3.0.3.tgz#03ad3348210c2d930772d64b489580c13a7db39d"
@ -4071,6 +4433,13 @@ use-sync-external-store@1.2.0:
  resolved "https://registry.npmmirror.com/use-sync-external-store/-/use-sync-external-store-1.2.0.tgz#7dbefd6ef3fe4e767a0cf5d7287aacfb5846928a"
  integrity sha512-eEgnFxGQ1Ife9bzYs6VLi8/4X6CObHMw9Qr9tPY43iKwsPw8xE8+EFsf/2cFZ5S3esXgpWgtSCtLNS41F+sKPA==

+util@^0.10.3:
+  version "0.10.4"
+  resolved "https://registry.npmmirror.com/util/-/util-0.10.4.tgz#3aa0125bfe668a4672de58857d3ace27ecb76901"
+  integrity sha512-0Pm9hTQ3se5ll1XihRic3FDIku70C+iHUdT/W926rSgHV5QgXsYbKZN8MSC3tJtSkhuROzvsQjAaFENRXr+19A==
+  dependencies:
+    inherits "2.0.3"
+
 uvu@^0.5.0:
  version "0.5.6"
  resolved "https://registry.npmmirror.com/uvu/-/uvu-0.5.6.tgz#2754ca20bcb0bb59b64e9985e84d2e81058502df"
@ -4081,6 +4450,14 @@ uvu@^0.5.0:
    kleur "^4.0.3"
    sade "^1.7.3"

+vfile-location@^4.0.0:
+  version "4.1.0"
+  resolved "https://registry.npmmirror.com/vfile-location/-/vfile-location-4.1.0.tgz#69df82fb9ef0a38d0d02b90dd84620e120050dd0"
+  integrity sha512-YF23YMyASIIJXpktBa4vIGLJ5Gs88UB/XePgqPmTa7cDA+JeO3yclbpheQYCHjVHBn/yePzrXuygIL+xbvRYHw==
+  dependencies:
+    "@types/unist" "^2.0.0"
+    vfile "^5.0.0"
+
 vfile-message@^3.0.0:
  version "3.1.4"
  resolved "https://registry.npmmirror.com/vfile-message/-/vfile-message-3.1.4.tgz#15a50816ae7d7c2d1fa87090a7f9f96612b59dea"
@ -4099,6 +4476,11 @@ vfile@^5.0.0:
    unist-util-stringify-position "^3.0.0"
    vfile-message "^3.0.0"

+web-namespaces@^2.0.0:
+  version "2.0.1"
+  resolved "https://registry.npmmirror.com/web-namespaces/-/web-namespaces-2.0.1.tgz#1010ff7c650eccb2592cebeeaf9a1b253fd40692"
+  integrity sha512-bKr1DkiNa2krS7qxNtdrtHAmzuYGFQLiQ13TsorsdT6ULTkPLKuu5+GsFpDlg6JFjUTwX2DyhMPG2be8uPrqsQ==
+
 which-boxed-primitive@^1.0.2:
  version "1.0.2"
  resolved "https://registry.npmmirror.com/which-boxed-primitive/-/which-boxed-primitive-1.0.2.tgz#13757bc89b209b049fe5d86430e21cf40a89a8e6"
@ -4175,3 +4557,8 @@ zustand@^4.3.6:
  integrity sha512-6J5zDxjxLE+yukC2XZWf/IyWVKnXT9b9HUv09VJ/bwGCpKNcaTqp7Ws28Xr8jnbvnZcdRaidztAPsXFBIqufiw==
  dependencies:
    use-sync-external-store "1.2.0"
+
+zwitch@^2.0.0:
+  version "2.0.4"
+  resolved "https://registry.npmmirror.com/zwitch/-/zwitch-2.0.4.tgz#c827d4b0acb76fc3e685a4c6ec2902d51070e9d7"
+  integrity sha512-bXE4cR/kVZhKZX/RjPEflHaKVhUVl85noU3v6b8apfQEc1x4A+zBxjZ4lN8LqGd6WZ3dl98pY4o717VFmoPp+A==