Merge pull request 'feat: upgrade toolbox for v1.2.1' (#38) from feat/v1.2.1-toolbox into main

Reviewed-on: http://117.72.28.96:8765/Jacky/Hulumath-Web/pulls/38

.env.production.example

@@ -2,6 +2,7 @@
 # 包含 #、空格等特殊字符的值请用单引号包裹。
 
 DJANGO_SETTINGS_MODULE=config.settings
+APP_VERSION=1.2.1
 DJANGO_SECRET_KEY='replace-with-at-least-50-random-characters'
 DJANGO_DEBUG=false
 DJANGO_USE_HTTPS=true

.gitea/workflows/ci.yml

@@ -60,6 +60,16 @@ jobs:
       - name: ASGI import check
         working-directory: backend
         run: ../.venv-ci/bin/python -c "from config.asgi import application; print(type(application).__name__)"
+      - name: Production static assets check
+        working-directory: backend
+        env:
+          DJANGO_DEBUG: "false"
+          DJANGO_USE_HTTPS: "false"
+          DJANGO_SECRET_KEY: ci-static-assets-check
+          DJANGO_ALLOWED_HOSTS: localhost
+          DATABASE_URL: mysql://root:ci-root-password@mysql:3306/hulumath
+          REDIS_URL: redis://127.0.0.1:6379/0
+        run: ../.venv-ci/bin/python manage.py collectstatic --noinput --clear
       - name: SQLite tests and coverage
         run: |
           .venv-ci/bin/python -m pytest -q \

.gitea/workflows/deploy.yml

@@ -15,64 +15,24 @@ jobs:
   release-check:
     if: ${{ github.event.pull_request.merged == true }}
     runs-on: ubuntu-latest
-    timeout-minutes: 15
+    timeout-minutes: 5
-    services:
-      mysql:
-        image: mysql:8.0.35
-        env:
-          MYSQL_ROOT_PASSWORD: ci-root-password
-          MYSQL_DATABASE: hulumath
-        options: >-
-          --health-cmd "mysqladmin ping -h 127.0.0.1 -uroot -pci-root-password --silent"
-          --health-interval 5s
-          --health-timeout 5s
-          --health-retries 20
     steps:
       - name: 检出 main
         env:
           REPOSITORY_URL: http://117.72.28.96:8765/Jacky/Hulumath-Web.git
         run: git clone --branch main --single-branch "$REPOSITORY_URL" .
 
-      - name: 显示 Python 版本
+      - name: 检查发布文件和脚本语法
-        run: python3 --version
-
-      - name: 安装 MySQL 编译依赖
         run: |
-          sudo apt-get update
+          set -eu
-          sudo apt-get install -y \
+          test -f requirements.txt
-            default-libmysqlclient-dev \
+          test -f backend/manage.py
-            pkg-config \
+          test -f deploy/hulumath-web.service
-            python3-dev \
+          test -f scripts/deploy_production.sh
-            python3-venv
+          test -f scripts/smoke_production.py
-
+          bash -n scripts/deploy_production.sh
-      - name: 安装发布检查依赖
+          python3 -m compileall -q backend scripts
-        run: |
+          git diff-tree --check -m -r HEAD
-          python3 -m venv .venv-release
-          .venv-release/bin/python -m pip install \
-            --index-url https://mirrors.aliyun.com/pypi/simple \
-            --timeout 120 \
-            --retries 5 \
-            -r requirements.txt
-
-      - name: 检查迁移文件
-        working-directory: backend
-        run: ../.venv-release/bin/python manage.py makemigrations --check --dry-run
-
-      - name: Django 系统检查
-        working-directory: backend
-        run: ../.venv-release/bin/python manage.py check
-
-      - name: ASGI 启动导入检查
-        working-directory: backend
-        run: ../.venv-release/bin/python -c "from config.asgi import application; print(type(application).__name__)"
-
-      - name: MySQL 发布迁移检查
-        env:
-          DATABASE_URL: mysql://root:ci-root-password@mysql:3306/hulumath
-        run: |
-          .venv-release/bin/python backend/manage.py check --database default
-          .venv-release/bin/python backend/manage.py check_mysql
-          .venv-release/bin/python backend/manage.py migrate --noinput
 
   deploy:
     if: ${{ github.event.pull_request.merged == true }}

CONTRIBUTING.md

@@ -1,3 +1,5 @@
+新功能前要用分支发PR！禁止直接向main提交。
+
 # Hulumath-Web 代码贡献指南
 
 本指南面向人类开发者和 AI 编程助手。开始修改前，请完整阅读本文。
@@ -426,7 +428,7 @@ PR 描述至少包含：
 2. 处理审查意见，不要无解释地关闭讨论。
 3. 请求 Jacky 审查。
 4. 只有 Jacky 明确批准后才可合并。
-5. 合并后观察 `PR合并自动部署` 的 `release-check` 和 `deploy`。
+5. 合并后观察 `PR合并自动部署`：`release-check` 做无依赖轻量检查，`deploy` 执行生产发布与冒烟。
 6. 部署失败时保留日志，先判断是代码、迁移、网络还是冒烟检查问题。
 
 ## 14. 安全与隐私

Makefile

@@ -1,4 +1,4 @@
-.PHONY: install migrate seed run test check
+.PHONY: install migrate seed local-admin run run-asgi test check
 
 install:
 	python3 -m venv .venv
@@ -11,9 +11,15 @@ seed:
 	cd backend && ../.venv/bin/python manage.py seed_initial_content
 	cd backend && ../.venv/bin/python manage.py seed_contests
 
+local-admin:
+	cd backend && ../.venv/bin/python manage.py init_local_admin
+
 run:
 	cd backend && ../.venv/bin/python manage.py runserver
 
+run-asgi:
+	cd backend && ../.venv/bin/uvicorn config.asgi:application --host 127.0.0.1 --port 8000 --reload
+
 test:
 	.venv/bin/python -m pytest -q
 

README.md

@@ -2,6 +2,9 @@
 
 面向全年龄数学兴趣用户的“数学人生宇宙”。当前仓库包含可运行的 Django 模块化单体、响应式 Web 客户端、运营后台、内容种子、实时比赛基础设施和生产部署配置。
 
+当前发布版本：**v1.2.1**。变更与迁移说明见
+[v1.2.1 Release Notes](docs/RELEASE_NOTES_V1.2.1.md)。
+
 ## 参与贡献
 
 提交代码、内容或文档前，请先完整阅读 [代码贡献指南](CONTRIBUTING.md)。
@@ -14,13 +17,14 @@
 - 12 题 MathBTI、16 种数学人格、人物卡与数学精灵初始化
 - 统一版本化剧情引擎、85 节点信仰者主线、2 个人物 Skill 样板
 - 剧情服务端存档、嵌套资源效果、结局与幂等选择
-- 入门、标准、进阶三赛道的实时 1v1、今日挑战、单人闯关、24 点和数独
+- 统一玩家池的口算、数独 Timerun、24 点实时 1v1，以及随机今日挑战和单人闯关
 - 题目版本、服务端计时判分、Elo Rating、排行榜和基础反作弊
 - Channels WebSocket 比赛进度通道，Redis Channel Layer
 - LaTeX 文档与版本、六级零基础课程、练习判定
 - 54 条旧版志愿者视频、五维能力地图、专业筛选与融合视频流
 - 视频观看进度、幂等奖励、收藏、五维能力、数学精灵和人物卡册
-- 多工具工具箱：强计算器、增强函数绘图、数学白板、几何画板、符号查询和 LaTeX Lab
+- 多工具工具箱：强计算器、增强函数绘图、统一联机数学画板、符号查询和 LaTeX Lab
+- 信仰者人生 20 印记、4 个组合彩蛋、4 个直博方向与独立全屏交互
 - Django Admin、健康检查、请求 ID、限流与统一 API 错误结构
 - MySQL 8.0/Redis Docker Compose、Gitea CI 和自动化测试
 
@@ -39,9 +43,19 @@ make run
 
 管理后台位于 `http://127.0.0.1:8000/admin/`。创建管理员：
 
+```bash
+make local-admin
+```
+
+默认本地测试账号为 `local_admin` / `LocalAdmin2026!`。该命令仅允许在
+`DJANGO_DEBUG=true` 时运行，不会接触或修改生产管理员。需要自定义时：
+
 ```bash
 cd backend
-../.venv/bin/python manage.py createsuperuser
+../.venv/bin/python manage.py init_local_admin \
+  --username jacky_local \
+  --password '仅用于本机的测试密码' \
+  --reset-password
 ```
 
 ## 测试
@@ -76,6 +90,7 @@ Gitea 会在 PR 合并到 `main` 后自动测试和部署：
 - [Ubuntu + 宝塔面板从零部署](docs/BAOTA_UBUNTU_FROM_ZERO.md)
 - [自动发布机制与运维说明](docs/DEPLOYMENT.md)
 - [MySQL 8 数据迁移说明](docs/MYSQL8_MIGRATION.md)
+- [本地实时 1v1 与联机码约战测试](docs/LOCAL_REALTIME_TEST.md)
 
 ## 目录
 

backend/accounts/management/__init__.py

@@ -0,0 +1 @@
+

backend/accounts/management/commands/__init__.py

@@ -0,0 +1 @@
+

backend/accounts/management/commands/init_local_admin.py

@@ -0,0 +1,69 @@
+import os
+
+from django.conf import settings
+from django.core.management.base import BaseCommand, CommandError
+
+from accounts.models import User
+
+
+class Command(BaseCommand):
+    help = "仅在 DEBUG 环境创建或修复本地测试管理员"
+
+    def add_arguments(self, parser):
+        parser.add_argument(
+            "--username",
+            default=os.getenv("LOCAL_ADMIN_USERNAME", "local_admin"),
+        )
+        parser.add_argument(
+            "--password",
+            default=os.getenv("LOCAL_ADMIN_PASSWORD", "LocalAdmin2026!"),
+        )
+        parser.add_argument(
+            "--email",
+            default=os.getenv("LOCAL_ADMIN_EMAIL", "local-admin@example.test"),
+        )
+        parser.add_argument(
+            "--reset-password",
+            action="store_true",
+            help="已存在账号时也重置密码",
+        )
+
+    def handle(self, *args, **options):
+        if not settings.DEBUG:
+            raise CommandError("init_local_admin 仅允许在 DJANGO_DEBUG=true 时运行")
+
+        username = options["username"].strip()
+        password = options["password"]
+        if not username or len(password) < 8:
+            raise CommandError("用户名不能为空，密码至少需要 8 个字符")
+
+        user, created = User.objects.get_or_create(
+            username=username,
+            defaults={
+                "nickname": "本地管理员",
+                "email": options["email"],
+                "is_staff": True,
+                "is_superuser": True,
+                "is_active": True,
+            },
+        )
+        changed_fields = []
+        for field in ("is_staff", "is_superuser", "is_active"):
+            if not getattr(user, field):
+                setattr(user, field, True)
+                changed_fields.append(field)
+        if not user.nickname:
+            user.nickname = "本地管理员"
+            changed_fields.append("nickname")
+        if created or options["reset_password"] or not user.has_usable_password():
+            user.set_password(password)
+            changed_fields.append("password")
+        if changed_fields:
+            user.save(update_fields=changed_fields)
+
+        action = "已创建" if created else "已确认"
+        self.stdout.write(
+            self.style.SUCCESS(
+                f"{action}本地管理员 {username}；后台地址 http://127.0.0.1:8000/admin/"
+            )
+        )

backend/accounts/test_management_commands.py

@@ -0,0 +1,37 @@
+import pytest
+from django.core.management import call_command
+from django.core.management.base import CommandError
+from django.test import override_settings
+
+from accounts.models import User
+
+
+@pytest.mark.django_db
+@override_settings(DEBUG=True)
+def test_init_local_admin_创建可登录管理员(client):
+    call_command(
+        "init_local_admin",
+        username="test_local_admin",
+        password="LocalAdmin2026!",
+    )
+
+    user = User.objects.get(username="test_local_admin")
+    assert user.is_staff is True
+    assert user.is_superuser is True
+    assert client.login(
+        username="test_local_admin",
+        password="LocalAdmin2026!",
+    )
+
+
+@pytest.mark.django_db
+@override_settings(DEBUG=False)
+def test_init_local_admin_生产环境拒绝执行():
+    with pytest.raises(CommandError, match="仅允许"):
+        call_command(
+            "init_local_admin",
+            username="forbidden_admin",
+            password="LocalAdmin2026!",
+        )
+
+    assert not User.objects.filter(username="forbidden_admin").exists()

backend/common/api.py

@@ -1,17 +1,65 @@
+import logging
+
 from rest_framework.views import exception_handler as drf_exception_handler
 
+logger = logging.getLogger(__name__)
+
+
+def _error_messages(details):
+    messages = []
+
+    def collect(value):
+        if isinstance(value, dict):
+            for item in value.values():
+                collect(item)
+        elif isinstance(value, (list, tuple)):
+            for item in value:
+                collect(item)
+        elif value is not None:
+            message = str(value).strip()
+            if message and message not in messages:
+                messages.append(message)
+
+    collect(details)
+    return messages
+
+
+def _error_message(details):
+    messages = _error_messages(details)
+    if not messages:
+        return "请求未能完成"
+    return "；".join(messages)[:300]
+
 
 def exception_handler(exc, context):
     response = drf_exception_handler(exc, context)
+    request = context.get("request")
     if response is None:
+        logger.exception(
+            "api_unhandled_error method=%s path=%s",
+            getattr(request, "method", "-"),
+            getattr(request, "path", "-"),
+        )
         return response
 
-    request = context.get("request")
+    details = response.data
+    code = getattr(exc, "default_code", "request_error")
+    message = _error_message(details)
+    fields = ",".join(details.keys()) if isinstance(details, dict) else "-"
+    logger.info(
+        "api_request_error method=%s path=%s status=%s code=%s fields=%s message=%s",
+        getattr(request, "method", "-"),
+        getattr(request, "path", "-"),
+        response.status_code,
+        code,
+        fields,
+        message,
+    )
     response.data = {
         "error": {
-            "code": getattr(exc, "default_code", "request_error"),
+            "code": code,
-            "message": "请求未能完成",
+            "message": message,
-            "details": response.data,
+            "details": details,
             "request_id": getattr(request, "request_id", None),
         }
     }

backend/common/test_frontend_assets.py

@@ -1,6 +1,9 @@
+import re
 from pathlib import Path
 
 from django.conf import settings
+from django.core.management import call_command
+from django.test import override_settings
 
 STATIC_ROOT = Path(settings.BASE_DIR) / "static"
 
@@ -13,6 +16,18 @@ def test_app_js_幂等键兼容非安全上下文():
     assert source.count('"Idempotency-Key": createIdempotencyKey()') == 2
 
 
+def test_app_js_api_错误优先显示详情并输出安全诊断日志():
+    source = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
+
+    assert "function collectApiErrorMessages(" in source
+    assert "const baseMessage = detailMessages.length" in source
+    assert 'console.error("[Hulumath API]", {' in source
+    assert "requestId: error.requestId" in source
+    assert "error.details = details || null" in source
+    assert "payload.error?.message || payload.detail ||" in source
+    assert "payload.error?.message || payload.detail ||\n      (details ?" not in source
+
+
 def test_app_css_答题提交按钮可见且长弹窗可滚动():
     source = (STATIC_ROOT / "css" / "app.css").read_text(encoding="utf-8")
 
@@ -46,12 +61,177 @@ def test_toolbox_and_games_资源入口与移动端触控样式存在():
     assert "js/games.js" in template
     assert 'id="whiteboard-canvas"' in template
     assert 'id="geometry-canvas"' in template
+    assert template.count('data-tool="whiteboard"') == 1
+    assert 'data-tool="geometry"' not in template
+    assert 'id="board-join-form"' in template
+    assert "函数书写规则" in template
     assert 'id="math-game-list"' in template
     assert "window.HuluToolbox" in toolbox
     assert "pointerdown" in toolbox
+    assert "class BoardRealtime" in toolbox
+    assert 'boardRealtime.send("canvas", payload)' in toolbox
+    assert 'boardRealtime.send("geometry", payload)' in toolbox
     assert "window.HuluGames" in games
     assert "sudoku-board" in games
+    assert 'errorMessage.className = "form-error game-form-error"' in games
+    assert "errorMessage.textContent = error.message" in games
     assert "touch-action: none" in styles
     assert ".calculator-controls [hidden]" in styles
     assert ".sudoku-board" in styles
     assert "@media (max-width: 700px)" in styles
+
+
+def test_v121_工具箱分类与响应式函数探索器资源完整():
+    template = (settings.BASE_DIR / "templates" / "index.html").read_text(
+        encoding="utf-8"
+    )
+    app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
+    toolbox = (STATIC_ROOT / "js" / "toolbox.js").read_text(encoding="utf-8")
+    graph = (STATIC_ROOT / "js" / "graph.js").read_text(encoding="utf-8")
+    styles = (STATIC_ROOT / "css" / "app.css").read_text(encoding="utf-8")
+
+    assert template.count("js/graph.js") == 1
+    assert 'data-tool="mental"' not in template
+    assert 'class="tool-groups"' in template
+    assert 'data-calc-category="calculus"' in template
+    assert 'value="solve_system"' in template
+    assert 'value="matrix_eigenvalues"' in template
+    assert 'id="graph-function-list"' in template
+    assert 'id="graph-x-min"' in template
+    assert 'id="graph-y-max"' in template
+    assert 'id="graph-auto-fit"' in template
+    assert 'id="graph-expression"' not in template
+    assert 'id="graph-range"' not in template
+
+    assert "function setCalculatorCategory(" in toolbox
+    assert "window.HuluGraph?.init()" in toolbox
+    assert "drawGraph" not in toolbox
+    assert 'tool === "mental"' not in toolbox
+    assert "drawGraph" not in app
+    assert 'tool === "mental"' not in app
+    assert "function addFunction(" in graph
+    assert "function drawAxes(" in graph
+    assert "function niceStep(" in graph
+    assert "window.devicePixelRatio" in graph
+    assert '"pointerdown"' in graph
+    assert '"wheel"' in graph
+    assert "ResizeObserver" in graph
+    assert "最多同时绘制 8 条曲线" in graph
+
+    assert ".tool-groups" in styles
+    assert ".calc-category-tabs" in styles
+    assert ".graph-function-row" in styles
+    assert ".graph-stage" in styles
+    assert "aspect-ratio: 16 / 10" in styles
+    assert "touch-action: none" in styles
+
+
+def test_latex_默认源码可渲染且_katex_静态资源完整():
+    template = (settings.BASE_DIR / "templates" / "index.html").read_text(encoding="utf-8")
+    app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
+    katex_root = STATIC_ROOT / "vendor" / "katex"
+    katex_css = (katex_root / "katex.min.css").read_text(encoding="utf-8")
+    font_paths = set(re.findall(r"url\(fonts/([^)]+)\)", katex_css))
+
+    assert (
+        '<textarea id="latex-source" spellcheck="false">'
+        r"\int_{0}^{1} x^2\,dx = \frac{1}{3}</textarea>"
+    ) in template
+    assert r"\\int_{0}^{1}" not in template
+    assert "function normalizeLatexSource(source)" in app
+    assert "globalThis.katex.render(normalized, target" in app
+    assert "throwOnError: true" in app
+    assert len(font_paths) == 60
+    assert all((katex_root / "fonts" / path).is_file() for path in font_paths)
+    assert (katex_root / "LICENSE.txt").is_file()
+
+
+def test_latex_长公式不会挤走保存按钮():
+    styles = (STATIC_ROOT / "css" / "app.css").read_text(encoding="utf-8")
+
+    assert "grid-template-rows: auto minmax(0, 1fr) auto" in styles
+    assert "#latex-preview { align-self: center; width: 100%; min-width: 0" in styles
+    assert ".preview-pane button { align-self: end; justify-self: end" in styles
+
+
+def test_rating_历史和登录后档案立即刷新():
+    template = (settings.BASE_DIR / "templates" / "index.html").read_text(encoding="utf-8")
+    app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
+    realtime = (STATIC_ROOT / "js" / "realtime.js").read_text(encoding="utf-8")
+
+    assert 'id="home-match-history"' in template
+    assert "function renderMatchHistory(root, matches)" in app
+    assert "function loadHomeMatchHistory()" in app
+    assert '$("#view-profile").classList.contains("active") ? loadProfile() : null' in app
+    assert "state.user.rating = match.result.rating_after" in realtime
+    assert "updateUserUI();" in realtime
+
+
+def test_production_manifest_可处理全部静态资源(tmp_path):
+    storage = "whitenoise.storage.CompressedManifestStaticFilesStorage"
+    with override_settings(
+        STATIC_ROOT=tmp_path,
+        STORAGES={
+            "default": {"BACKEND": "django.core.files.storage.FileSystemStorage"},
+            "staticfiles": {"BACKEND": storage},
+        },
+    ):
+        call_command("collectstatic", interactive=False, clear=True, verbosity=0)
+
+    assert (tmp_path / "staticfiles.json").is_file()
+    assert (tmp_path / "vendor" / "katex" / "katex.min.css").is_file()
+
+
+def test_realtime_match_联机码与_websocket_前端资源存在():
+    template = (settings.BASE_DIR / "templates" / "index.html").read_text(encoding="utf-8")
+    realtime = (STATIC_ROOT / "js" / "realtime.js").read_text(encoding="utf-8")
+    styles = (STATIC_ROOT / "css" / "app.css").read_text(encoding="utf-8")
+
+    assert 'id="challenge-create"' in template
+    assert 'id="challenge-join-form"' in template
+    assert template.count("js/realtime.js") == 1
+    assert "new WebSocket" in realtime
+    assert "setInterval(refreshMatch, 2000)" in realtime
+    assert "Idempotency-Key" in realtime
+    assert ".challenge-panel" in styles
+    assert ".realtime-progress-panel" in styles
+
+
+def test_contest_统一玩家池并提供三种实时玩法():
+    template = (settings.BASE_DIR / "templates" / "index.html").read_text(encoding="utf-8")
+    app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
+    games = (STATIC_ROOT / "js" / "games.js").read_text(encoding="utf-8")
+    realtime = (STATIC_ROOT / "js" / "realtime.js").read_text(encoding="utf-8")
+
+    assert 'id="track-switch"' not in template
+    assert 'data-match-mode="quiz"' in template
+    assert 'data-match-mode="sudoku"' in template
+    assert 'data-match-mode="twenty_four"' in template
+    assert "state.matchMode = button.dataset.matchMode" in app
+    assert "difficultySelect" not in games
+    assert "body: { game_kind: state.matchMode }" in realtime
+
+
+def test_math_life_使用独立界面印记面板且清理交叉点():
+    template = (settings.BASE_DIR / "templates" / "index.html").read_text(encoding="utf-8")
+    app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
+    styles = (STATIC_ROOT / "css" / "app.css").read_text(encoding="utf-8")
+
+    assert 'id="story-experience"' in template
+    assert 'id="story-mark-list"' in template
+    assert "数学人生交叉点" not in template
+    assert "<circle " not in template
+    assert '$("#story-experience").classList.remove("hidden")' in app
+    assert "function renderStoryMarks(run)" in app
+    assert "choice.special" in app
+    assert ".story-experience { position: fixed; inset: 0" in styles
+
+
+def test_home_公众号入口可复制并跳转微信():
+    template = (settings.BASE_DIR / "templates" / "index.html").read_text(encoding="utf-8")
+    app = (STATIC_ROOT / "js" / "app.js").read_text(encoding="utf-8")
+
+    assert 'id="wechat-copy"' in template
+    assert 'href="weixin://"' in template
+    assert "function copyWechatName()" in app
+    assert 'navigator.clipboard.writeText(name)' in app

backend/common/test_release_surface.py

@@ -0,0 +1,25 @@
+import pytest
+from django.conf import settings
+
+
+@pytest.mark.django_db
+def test_health_包含当前发布版本(client):
+    response = client.get("/health/")
+
+    assert response.status_code == 200
+    assert response.json() == {
+        "status": "ok",
+        "database": "ok",
+        "version": settings.APP_VERSION,
+    }
+
+
+def test_home_展示公众号入口与版本(client):
+    response = client.get("/")
+    content = response.content.decode()
+
+    assert response.status_code == 200
+    assert "公众号" in content
+    assert "葫芦数学" in content
+    assert f"Hulumath v{settings.APP_VERSION}" in content
+    assert 'href="weixin://"' in content

backend/common/views.py

@@ -1,14 +1,21 @@
+from django.conf import settings
 from django.db import connection
 from django.http import JsonResponse
 from django.shortcuts import render
 
 
 def home(request):
-    return render(request, "index.html")
+    return render(request, "index.html", {"app_version": settings.APP_VERSION})
 
 
 def health(request):
     with connection.cursor() as cursor:
         cursor.execute("SELECT 1")
         cursor.fetchone()
-    return JsonResponse({"status": "ok", "database": "ok"})
+    return JsonResponse(
+        {
+            "status": "ok",
+            "database": "ok",
+            "version": settings.APP_VERSION,
+        }
+    )

backend/config/asgi.py

@@ -11,6 +11,7 @@ django_asgi_application = get_asgi_application()
 
 from common.consumers import HealthConsumer
 from contest.routing import websocket_urlpatterns
+from toolbox.routing import websocket_urlpatterns as toolbox_websocket_urlpatterns
 
 application = ProtocolTypeRouter(
     {
@@ -20,6 +21,7 @@ application = ProtocolTypeRouter(
                 [
                     path("ws/health/", HealthConsumer.as_asgi()),
                     *websocket_urlpatterns,
+                    *toolbox_websocket_urlpatterns,
                 ]
             )
         ),

backend/config/settings.py

@@ -6,6 +6,7 @@ from django.core.exceptions import ImproperlyConfigured
 
 BASE_DIR = Path(__file__).resolve().parent.parent
 PROJECT_ROOT = BASE_DIR.parent
+APP_VERSION = os.getenv("APP_VERSION", "1.2.1")
 
 SECRET_KEY = os.getenv("DJANGO_SECRET_KEY", "dev-only-change-before-production")
 DEBUG = os.getenv("DJANGO_DEBUG", "true").lower() == "true"

backend/contest/admin.py

@@ -34,7 +34,7 @@ class ContestAdmin(admin.ModelAdmin):
 class ContestAttemptAdmin(admin.ModelAdmin):
     list_display = ("id", "user", "contest", "status", "score", "duration_ms", "started_at")
     list_filter = ("status", "contest__kind", "contest__track")
-    readonly_fields = ("started_at", "submitted_at")
+    readonly_fields = ("question_order", "started_at", "submitted_at")
 
 
 @admin.register(CheatFlag)
@@ -62,17 +62,40 @@ class QuestionVersionAdmin(admin.ModelAdmin):
 
 
 admin.site.register(ContestAnswer)
-admin.site.register(RealtimeMatch)
 admin.site.register(RatingHistory)
 admin.site.register(LeaderboardSnapshot)
 
 
+@admin.register(RealtimeMatch)
+class RealtimeMatchAdmin(admin.ModelAdmin):
+    list_display = (
+        "id",
+        "contest",
+        "match_type",
+        "game_kind",
+        "challenge_code",
+        "player_one",
+        "player_two",
+        "status",
+        "created_at",
+    )
+    list_filter = ("match_type", "game_kind", "status", "contest__track")
+    search_fields = (
+        "challenge_code",
+        "player_one__username",
+        "player_two__username",
+    )
+    readonly_fields = ("created_at", "started_at", "completed_at")
+    ordering = ("-created_at",)
+
+
 @admin.register(MathGameAttempt)
 class MathGameAttemptAdmin(admin.ModelAdmin):
     list_display = (
         "id",
         "user",
         "kind",
+        "match",
         "difficulty",
         "status",
         "score",

backend/contest/consumers.py

@@ -26,7 +26,11 @@ class MatchConsumer(AsyncJsonWebsocketConsumer):
             await self.send_json({"type": "pong"})
             return
         if event_type == "progress":
-            answered_count = max(0, min(int(content.get("answered_count", 0)), 100))
+            try:
+                answered_count = max(0, min(int(content.get("answered_count", 0)), 100))
+            except (TypeError, ValueError):
+                await self.send_json({"type": "error", "message": "答题进度无效"})
+                return
             await self.channel_layer.group_send(
                 self.group_name,
                 {
@@ -45,6 +49,15 @@ class MatchConsumer(AsyncJsonWebsocketConsumer):
             }
         )
 
+    async def match_state(self, event):
+        await self.send_json(
+            {
+                "type": "state",
+                "reason": event["reason"],
+                "match_id": str(self.match_id),
+            }
+        )
+
     @database_sync_to_async
     def _is_participant(self, user_id):
         return RealtimeMatch.objects.filter(id=self.match_id).filter(

backend/contest/game_services.py

@@ -1,5 +1,6 @@
 import ast
 import secrets
+import unicodedata
 from collections import Counter
 from fractions import Fraction
 
@@ -36,6 +37,18 @@ TWENTY_FOUR_PUZZLES = {
     MathGameAttempt.Difficulty.HARD: [(1, 5, 5, 5), (3, 3, 7, 7), (5, 5, 7, 11)],
 }
 
+TWENTY_FOUR_SYMBOLS = str.maketrans(
+    {
+        "×": "*",
+        "·": "*",
+        "∙": "*",
+        "÷": "/",
+        "−": "-",
+        "–": "-",
+        "—": "-",
+    }
+)
+
 
 def _grid_from_text(value):
     return [[int(value[row * 9 + column]) for column in range(9)] for row in range(9)]
@@ -44,6 +57,7 @@ def _grid_from_text(value):
 def game_payload(attempt):
     return {
         "attempt_id": attempt.id,
+        "match_id": attempt.match_id,
         "kind": attempt.kind,
         "difficulty": attempt.difficulty,
         "status": attempt.status,
@@ -55,7 +69,7 @@ def game_payload(attempt):
     }
 
 
-def start_game(user, kind, difficulty):
+def build_game(kind, difficulty=MathGameAttempt.Difficulty.STANDARD):
     if kind not in MathGameAttempt.Kind.values:
         raise ValidationError({"kind": "不支持的数学玩法"})
     if difficulty not in MathGameAttempt.Difficulty.values:
@@ -69,6 +83,11 @@ def start_game(user, kind, difficulty):
         secrets.SystemRandom().shuffle(numbers)
         puzzle = {"numbers": numbers}
         solution = {"target": 24}
+    return puzzle, solution
+
+
+def start_game(user, kind, difficulty=MathGameAttempt.Difficulty.STANDARD):
+    puzzle, solution = build_game(kind, difficulty)
     attempt = MathGameAttempt.objects.create(
         user=user,
         kind=kind,
@@ -80,7 +99,10 @@ def start_game(user, kind, difficulty):
 
 
 def _validate_twenty_four_expression(source, numbers):
-    source = str(source or "").strip()
+    source = unicodedata.normalize("NFKC", str(source or "")).translate(
+        TWENTY_FOUR_SYMBOLS
+    )
+    source = source.strip()
     if not source or len(source) > 120:
         raise ValidationError({"expression": "请输入不超过 120 个字符的表达式"})
     try:
@@ -90,7 +112,11 @@ def _validate_twenty_four_expression(source, numbers):
     used = []
 
     def evaluate(node):
-        if isinstance(node, ast.Constant) and isinstance(node.value, int):
+        if (
+            isinstance(node, ast.Constant)
+            and isinstance(node.value, int)
+            and not isinstance(node.value, bool)
+        ):
             used.append(node.value)
             return Fraction(node.value)
         if isinstance(node, ast.BinOp) and isinstance(
@@ -144,10 +170,14 @@ def _validate_sudoku_grid(raw_grid, puzzle, solution):
 @transaction.atomic
 def submit_game(user, attempt_id, submission, submission_key):
     attempt = MathGameAttempt.objects.select_for_update().get(id=attempt_id, user=user)
-    if attempt.status == MathGameAttempt.Status.COMPLETED:
+    if attempt.status != MathGameAttempt.Status.ACTIVE:
-        if submission_key and attempt.submission_key == submission_key:
+        if (
+            attempt.status == MathGameAttempt.Status.COMPLETED
+            and submission_key
+            and attempt.submission_key == submission_key
+        ):
             return game_payload(attempt)
-        raise ValidationError("这局游戏已经完成")
+        raise ValidationError("这局游戏已经结束")
     if not submission_key:
         raise ValidationError({"Idempotency-Key": "提交必须提供幂等键"})
 

backend/contest/management/commands/seed_contests.py

@@ -1,34 +1,149 @@
+import random
+
 from django.core.management.base import BaseCommand
 
 from contest.models import Contest, ContestQuestion, Question, QuestionVersion
 
+
+def _generate_beginner():
+    """入门：100以内加减乘除，约 400 题。"""
+    questions = []
+    ops = [
+        ("+", lambda a, b: a + b),
+        ("-", lambda a, b: a - b),
+        ("×", lambda a, b: a * b),
+        ("÷", lambda a, b: a // b if b != 0 and a % b == 0 else None),
+    ]
+    idx = 0
+    for a in range(2, 100):
+        for b in range(2, min(a + 1, 100)):
+            for sym, fn in ops:
+                if idx >= 400:
+                    return questions
+                if sym == "÷" and (b == 0 or a % b != 0):
+                    continue
+                if sym == "-" and a < b:
+                    continue
+                result = fn(a, b)
+                if result is None or result < 0 or result > 10000:
+                    continue
+                slug = f"b-auto-{idx:04d}"
+                prompt = f"{a} {sym} {b}"
+                answer = str(result)
+                if (slug, prompt, answer) not in questions:
+                    questions.append((slug, prompt, answer))
+                    idx += 1
+    return questions[:400]
+
+
+def _generate_standard():
+    """标准：两位数乘除、大数减法、平方，约 400 题。"""
+    questions = []
+    idx = 0
+    # 两位数乘法
+    for a in range(11, 100):
+        for b in range(11, min(a + 1, 100)):
+            if idx >= 150:
+                break
+            questions.append((f"s-auto-mul-{idx:04d}", f"{a} × {b}", str(a * b)))
+            idx += 1
+    # 三位数除法
+    for a in range(100, 1000, 7):
+        for b in range(11, 50):
+            if idx >= 300:
+                break
+            if a % b == 0:
+                questions.append((f"s-auto-div-{idx:04d}", f"{a} ÷ {b}", str(a // b)))
+                idx += 1
+    # 大数减法
+    for a in range(1000, 10000, 137):
+        b = random.randint(100, a - 1)
+        if idx >= 350:
+            break
+        questions.append((f"s-auto-sub-{idx:04d}", f"{a} - {b}", str(a - b)))
+        idx += 1
+    # 平方
+    for a in range(11, 100):
+        if idx >= 400:
+            break
+        questions.append((f"s-auto-sq-{idx:04d}", f"{a}²", str(a * a)))
+        idx += 1
+    return questions[:400]
+
+
+def _generate_advanced():
+    """进阶：模运算、组合数、高次幂、开方、等差数列求和，约 200 题。"""
+    questions = []
+    idx = 0
+    # 模运算
+    for base in range(2, 20):
+        for exp in range(2, 13):
+            for mod in range(3, 20):
+                if idx >= 50:
+                    break
+                result = pow(base, exp, mod)
+                questions.append((f"a-auto-mod-{idx:04d}", f"{base}^{exp} ÷ {mod} 的余数", str(result)))
+                idx += 1
+    # 组合数 C(n,k)
+    for n in range(5, 31):
+        for k in range(2, min(n // 2 + 1, 8)):
+            if idx >= 100:
+                break
+            from math import comb
+            questions.append((f"a-auto-comb-{idx:04d}", f"C({n},{k})", str(comb(n, k))))
+            idx += 1
+    # 高次幂
+    for base in range(2, 10):
+        for exp in range(3, 10):
+            if idx >= 130:
+                break
+            result = base ** exp
+            if result > 10**8:
+                continue
+            questions.append((f"a-auto-pow-{idx:04d}", f"{base}^{exp}", str(result)))
+            idx += 1
+    # 开方（完全平方数）
+    for n in range(10, 200):
+        if idx >= 160:
+            break
+        r = int(n**0.5)
+        if r * r == n:
+            questions.append((f"a-auto-sqrt-{idx:04d}", f"√{n}", str(r)))
+            idx += 1
+    # 等差数列求和 1..n
+    for n in range(10, 201, 5):
+        if idx >= 200:
+            break
+        result = n * (n + 1) // 2
+        questions.append((f"a-auto-sum-{idx:04d}", f"1 到 {n} 的整数和", str(result)))
+        idx += 1
+    # 一元一次方程，补足稳定的 200 题池
+    for solution in range(2, 60):
+        if idx >= 200:
+            break
+        coefficient = solution % 7 + 2
+        offset = solution % 11 + 1
+        total = coefficient * solution + offset
+        questions.append(
+            (
+                f"a-auto-linear-{idx:04d}",
+                f"{coefficient}x + {offset} = {total}，求 x",
+                str(solution),
+            )
+        )
+        idx += 1
+    return questions[:200]
+
+
 QUESTIONS = {
-    Question.Track.BEGINNER: [
+    Question.Track.BEGINNER: _generate_beginner(),
-        ("b-12-plus-19", "12 + 19", "31"),
+    Question.Track.STANDARD: _generate_standard(),
-        ("b-8-times-7", "8 × 7", "56"),
+    Question.Track.ADVANCED: _generate_advanced(),
-        ("b-90-minus-37", "90 - 37", "53"),
-        ("b-144-div-12", "144 ÷ 12", "12"),
-        ("b-25-times-4", "25 × 4", "100"),
-    ],
-    Question.Track.STANDARD: [
-        ("s-17-times-23", "17 × 23", "391"),
-        ("s-625-div-25", "625 ÷ 25", "25"),
-        ("s-48-times-15", "48 × 15", "720"),
-        ("s-1000-minus-387", "1000 - 387", "613"),
-        ("s-35-squared", "35²", "1225"),
-    ],
-    Question.Track.ADVANCED: [
-        ("a-mod-2pow10", "2¹⁰ 除以 7 的余数", "2"),
-        ("a-sum-1-50", "1 到 50 的整数和", "1275"),
-        ("a-15-choose-2", "C(15,2)", "105"),
-        ("a-sqrt-2025", "√2025", "45"),
-        ("a-3pow6", "3⁶", "729"),
-    ],
 }
 
 
 class Command(BaseCommand):
-    help = "创建首批分层题目、实时 1v1、每日赛和单人练习"
+    help = "创建分层题库（入门/标准/进阶）和实时 1v1、每日赛、单人练习"
 
     def handle(self, *args, **options):
         versions = {}
@@ -93,6 +208,8 @@ class Command(BaseCommand):
                 },
             )
             ContestQuestion.objects.filter(contest=contest).delete()
+            pool = list(versions[track])
+            random.shuffle(pool)
             ContestQuestion.objects.bulk_create(
                 [
                     ContestQuestion(
@@ -101,11 +218,14 @@ class Command(BaseCommand):
                         order=index,
                         points=100,
                     )
-                    for index, version in enumerate(versions[track], start=1)
+                    for index, version in enumerate(pool, start=1)
                 ]
             )
+        total = sum(map(len, QUESTIONS.values()))
         self.stdout.write(
             self.style.SUCCESS(
-                f"已创建 {sum(map(len, QUESTIONS.values()))} 道题和 {len(contest_specs)} 场比赛"
+                f"已创建 {total} 道题（入门{len(QUESTIONS[Question.Track.BEGINNER])}、"
+                f"标准{len(QUESTIONS[Question.Track.STANDARD])}、"
+                f"进阶{len(QUESTIONS[Question.Track.ADVANCED])}）和 {len(contest_specs)} 场比赛"
             )
         )

backend/contest/migrations/0004_remove_realtimematch_matchmaking_lookup_idx_and_more.py

@@ -0,0 +1,36 @@
+# Generated by Django 4.2.23 on 2026-08-08 18:41
+
+from django.db import migrations, models
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('contest', '0003_mathgameattempt_and_more'),
+    ]
+
+    operations = [
+        migrations.RemoveIndex(
+            model_name='realtimematch',
+            name='matchmaking_lookup_idx',
+        ),
+        migrations.AddField(
+            model_name='realtimematch',
+            name='challenge_code',
+            field=models.CharField(blank=True, max_length=8, null=True, unique=True),
+        ),
+        migrations.AddField(
+            model_name='realtimematch',
+            name='expires_at',
+            field=models.DateTimeField(blank=True, null=True),
+        ),
+        migrations.AddField(
+            model_name='realtimematch',
+            name='match_type',
+            field=models.CharField(choices=[('random', '随机匹配'), ('challenge', '联机码约战')], default='random', max_length=16),
+        ),
+        migrations.AddIndex(
+            model_name='realtimematch',
+            index=models.Index(fields=['contest', 'match_type', 'status', 'player_one_rating', 'created_at'], name='matchmaking_lookup_idx'),
+        ),
+    ]

backend/contest/migrations/0005_contestattempt_question_order_mathgameattempt_match_and_more.py

@@ -0,0 +1,33 @@
+# Generated by Django 4.2.23 on 2026-08-09 16:17
+
+from django.db import migrations, models
+import django.db.models.deletion
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('contest', '0004_remove_realtimematch_matchmaking_lookup_idx_and_more'),
+    ]
+
+    operations = [
+        migrations.AddField(
+            model_name='contestattempt',
+            name='question_order',
+            field=models.JSONField(blank=True, default=list),
+        ),
+        migrations.AddField(
+            model_name='mathgameattempt',
+            name='match',
+            field=models.ForeignKey(blank=True, null=True, on_delete=django.db.models.deletion.PROTECT, related_name='game_attempts', to='contest.realtimematch'),
+        ),
+        migrations.AddField(
+            model_name='realtimematch',
+            name='game_kind',
+            field=models.CharField(choices=[('quiz', '口算竞速'), ('sudoku', '数独 Timerun'), ('twenty_four', '24 点竞速')], default='quiz', max_length=20),
+        ),
+        migrations.AddConstraint(
+            model_name='mathgameattempt',
+            constraint=models.UniqueConstraint(fields=('match', 'user'), name='unique_user_realtime_math_game'),
+        ),
+    ]

backend/contest/migrations/0006_expand_contest_question_pools.py

@@ -0,0 +1,57 @@
+from django.db import migrations
+
+
+def expand_question_pools(apps, schema_editor):
+    Contest = apps.get_model("contest", "Contest")
+    ContestQuestion = apps.get_model("contest", "ContestQuestion")
+    QuestionVersion = apps.get_model("contest", "QuestionVersion")
+
+    for contest in Contest.objects.all().iterator():
+        existing_version_ids = set(
+            ContestQuestion.objects.filter(contest=contest).values_list(
+                "question_version_id",
+                flat=True,
+            )
+        )
+        latest_versions = {}
+        versions = QuestionVersion.objects.filter(
+            question__track=contest.track,
+            question__is_active=True,
+        ).order_by("question_id", "-version")
+        for version in versions.iterator():
+            latest_versions.setdefault(version.question_id, version.id)
+
+        next_order = (
+            ContestQuestion.objects.filter(contest=contest)
+            .order_by("-order")
+            .values_list("order", flat=True)
+            .first()
+            or 0
+        )
+        additions = []
+        for version_id in latest_versions.values():
+            if version_id in existing_version_ids:
+                continue
+            next_order += 1
+            additions.append(
+                ContestQuestion(
+                    contest_id=contest.id,
+                    question_version_id=version_id,
+                    order=next_order,
+                    points=100,
+                )
+            )
+        ContestQuestion.objects.bulk_create(additions, batch_size=500)
+
+
+class Migration(migrations.Migration):
+    dependencies = [
+        ("contest", "0005_contestattempt_question_order_mathgameattempt_match_and_more"),
+    ]
+
+    operations = [
+        migrations.RunPython(
+            expand_question_pools,
+            migrations.RunPython.noop,
+        ),
+    ]

backend/contest/migrations/0007_remove_realtimematch_matchmaking_lookup_idx_and_more.py

@@ -0,0 +1,21 @@
+# Generated by Django 4.2.23 on 2026-08-09 16:30
+
+from django.db import migrations, models
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('contest', '0006_expand_contest_question_pools'),
+    ]
+
+    operations = [
+        migrations.RemoveIndex(
+            model_name='realtimematch',
+            name='matchmaking_lookup_idx',
+        ),
+        migrations.AddIndex(
+            model_name='realtimematch',
+            index=models.Index(fields=['contest', 'match_type', 'game_kind', 'status', 'player_one_rating', 'created_at'], name='matchmaking_mode_idx'),
+        ),
+    ]

backend/contest/migrations/0008_fill_advanced_question_pool.py

@@ -0,0 +1,74 @@
+from django.db import migrations
+
+
+def fill_advanced_pool(apps, schema_editor):
+    Contest = apps.get_model("contest", "Contest")
+    ContestQuestion = apps.get_model("contest", "ContestQuestion")
+    Question = apps.get_model("contest", "Question")
+    QuestionVersion = apps.get_model("contest", "QuestionVersion")
+
+    versions = []
+    for offset, solution in enumerate(range(2, 22), start=180):
+        coefficient = solution % 7 + 2
+        constant = solution % 11 + 1
+        total = coefficient * solution + constant
+        question, _ = Question.objects.update_or_create(
+            slug=f"a-auto-linear-{offset:04d}",
+            defaults={
+                "track": "advanced",
+                "tags": ["口算"],
+                "is_active": True,
+            },
+        )
+        version, _ = QuestionVersion.objects.update_or_create(
+            question=question,
+            version=1,
+            defaults={
+                "prompt": f"{coefficient}x + {constant} = {total}，求 x",
+                "answer": str(solution),
+                "explanation": f"答案为 {solution}",
+            },
+        )
+        versions.append(version)
+
+    for contest in Contest.objects.filter(track="advanced").iterator():
+        existing_ids = set(
+            ContestQuestion.objects.filter(contest=contest).values_list(
+                "question_version_id",
+                flat=True,
+            )
+        )
+        next_order = (
+            ContestQuestion.objects.filter(contest=contest)
+            .order_by("-order")
+            .values_list("order", flat=True)
+            .first()
+            or 0
+        )
+        additions = []
+        for version in versions:
+            if version.id in existing_ids:
+                continue
+            next_order += 1
+            additions.append(
+                ContestQuestion(
+                    contest_id=contest.id,
+                    question_version_id=version.id,
+                    order=next_order,
+                    points=100,
+                )
+            )
+        ContestQuestion.objects.bulk_create(additions)
+
+
+class Migration(migrations.Migration):
+    dependencies = [
+        ("contest", "0007_remove_realtimematch_matchmaking_lookup_idx_and_more"),
+    ]
+
+    operations = [
+        migrations.RunPython(
+            fill_advanced_pool,
+            migrations.RunPython.noop,
+        ),
+    ]

backend/contest/models.py

@@ -77,14 +77,34 @@ class ContestQuestion(models.Model):
 
 
 class RealtimeMatch(models.Model):
+    class MatchType(models.TextChoices):
+        RANDOM = "random", "随机匹配"
+        CHALLENGE = "challenge", "联机码约战"
+
     class Status(models.TextChoices):
         WAITING = "waiting", "等待对手"
         ACTIVE = "active", "进行中"
         COMPLETED = "completed", "已完成"
         CANCELLED = "cancelled", "已取消"
 
+    class GameKind(models.TextChoices):
+        QUIZ = "quiz", "口算竞速"
+        SUDOKU = "sudoku", "数独 Timerun"
+        TWENTY_FOUR = "twenty_four", "24 点竞速"
+
     id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
     contest = models.ForeignKey(Contest, on_delete=models.PROTECT)
+    match_type = models.CharField(
+        max_length=16,
+        choices=MatchType.choices,
+        default=MatchType.RANDOM,
+    )
+    challenge_code = models.CharField(max_length=8, unique=True, null=True, blank=True)
+    game_kind = models.CharField(
+        max_length=20,
+        choices=GameKind.choices,
+        default=GameKind.QUIZ,
+    )
     player_one = models.ForeignKey(
         settings.AUTH_USER_MODEL, on_delete=models.PROTECT, related_name="matches_as_player_one"
     )
@@ -106,14 +126,22 @@ class RealtimeMatch(models.Model):
         related_name="won_matches",
     )
     created_at = models.DateTimeField(auto_now_add=True)
+    expires_at = models.DateTimeField(null=True, blank=True)
     started_at = models.DateTimeField(null=True, blank=True)
     completed_at = models.DateTimeField(null=True, blank=True)
 
     class Meta:
         indexes = [
             models.Index(
-                fields=("contest", "status", "player_one_rating", "created_at"),
+                fields=(
-                name="matchmaking_lookup_idx",
+                    "contest",
+                    "match_type",
+                    "game_kind",
+                    "status",
+                    "player_one_rating",
+                    "created_at",
+                ),
+                name="matchmaking_mode_idx",
             )
         ]
 
@@ -135,6 +163,7 @@ class ContestAttempt(models.Model):
     correct_count = models.PositiveIntegerField(default=0)
     answer_count = models.PositiveIntegerField(default=0)
     duration_ms = models.PositiveIntegerField(default=0)
+    question_order = models.JSONField(default=list, blank=True)
     submission_key = models.CharField(max_length=80, null=True, blank=True)
     started_at = models.DateTimeField(auto_now_add=True)
     submitted_at = models.DateTimeField(null=True, blank=True)
@@ -215,6 +244,13 @@ class MathGameAttempt(models.Model):
         on_delete=models.CASCADE,
         related_name="math_game_attempts",
     )
+    match = models.ForeignKey(
+        RealtimeMatch,
+        null=True,
+        blank=True,
+        on_delete=models.PROTECT,
+        related_name="game_attempts",
+    )
     kind = models.CharField(max_length=20, choices=Kind.choices)
     difficulty = models.CharField(
         max_length=16,
@@ -237,7 +273,11 @@ class MathGameAttempt(models.Model):
             models.UniqueConstraint(
                 fields=("user", "submission_key"),
                 name="unique_user_math_game_submission",
-            )
+            ),
+            models.UniqueConstraint(
+                fields=("match", "user"),
+                name="unique_user_realtime_math_game",
+            ),
         ]
         indexes = [
             models.Index(

backend/contest/services.py

@@ -1,5 +1,9 @@
+import secrets
+from datetime import timedelta
 from decimal import Decimal
 
+from asgiref.sync import async_to_sync
+from channels.layers import get_channel_layer
 from django.db import transaction
 from django.db.models import Q
 from django.utils import timezone
@@ -12,10 +16,164 @@ from .models import (
     Contest,
     ContestAnswer,
     ContestAttempt,
+    MathGameAttempt,
     RatingHistory,
     RealtimeMatch,
 )
 
+CHALLENGE_CODE_ALPHABET = "ABCDEFGHJKLMNPQRSTUVWXYZ23456789"
+WAITING_MATCH_TTL = timedelta(minutes=10)
+ATTEMPT_QUESTION_COUNT = 8
+
+
+def _broadcast_match(match_id, reason):
+    channel_layer = get_channel_layer()
+    if channel_layer is None:
+        return
+    async_to_sync(channel_layer.group_send)(
+        f"match_{match_id}",
+        {
+            "type": "match.state",
+            "reason": reason,
+        },
+    )
+
+
+def notify_match_on_commit(match_id, reason):
+    transaction.on_commit(lambda: _broadcast_match(match_id, reason))
+
+
+def _new_challenge_code():
+    for _ in range(20):
+        code = "".join(secrets.choice(CHALLENGE_CODE_ALPHABET) for _ in range(6))
+        if not RealtimeMatch.objects.filter(challenge_code=code).exists():
+            return code
+    raise ValidationError("暂时无法生成联机码，请稍后重试")
+
+
+def _validate_realtime_contest(contest):
+    if contest.kind != Contest.Kind.REALTIME or contest.status != Contest.Status.PUBLISHED:
+        raise ValidationError("实时比赛不可用")
+
+
+def _validate_game_kind(game_kind):
+    value = str(game_kind or RealtimeMatch.GameKind.QUIZ)
+    if value not in RealtimeMatch.GameKind.values:
+        raise ValidationError({"game_kind": "不支持的实时比赛玩法"})
+    return value
+
+
+def _cancel_expired_waiting_matches():
+    RealtimeMatch.objects.filter(status=RealtimeMatch.Status.WAITING).filter(
+        Q(expires_at__isnull=True) | Q(expires_at__lte=timezone.now())
+    ).update(status=RealtimeMatch.Status.CANCELLED)
+
+
+def _active_match_for(user):
+    return (
+        RealtimeMatch.objects.filter(
+            Q(player_one=user) | Q(player_two=user),
+            status=RealtimeMatch.Status.ACTIVE,
+        )
+        .select_related("contest", "player_one", "player_two")
+        .first()
+    )
+
+
+def _cancel_other_waiting_matches(user, match_type, game_kind):
+    matches = list(
+        RealtimeMatch.objects.filter(
+            player_one=user,
+            status=RealtimeMatch.Status.WAITING,
+        )
+        .exclude(match_type=match_type, game_kind=game_kind)
+        .values_list("id", flat=True)
+    )
+    if matches:
+        RealtimeMatch.objects.filter(id__in=matches).update(
+            status=RealtimeMatch.Status.CANCELLED
+        )
+        for match_id in matches:
+            notify_match_on_commit(match_id, "cancelled")
+
+
+def _select_question_order(contest):
+    question_ids = list(
+        contest.contest_questions.filter(question_version__question__is_active=True)
+        .order_by("id")
+        .values_list("id", flat=True)
+    )
+    if not question_ids:
+        raise ValidationError("比赛题库为空")
+    count = min(ATTEMPT_QUESTION_COUNT, len(question_ids))
+    return secrets.SystemRandom().sample(question_ids, count)
+
+
+def _attempt_questions(attempt):
+    queryset = attempt.contest.contest_questions.select_related("question_version")
+    if attempt.question_order:
+        items = {item.id: item for item in queryset.filter(id__in=attempt.question_order)}
+        return [items[item_id] for item_id in attempt.question_order if item_id in items]
+    return list(queryset.all())
+
+
+def _activate_match(match, user):
+    from .game_services import build_game
+
+    now = timezone.now()
+    match.player_two = user
+    match.player_two_rating = user.rating
+    match.status = RealtimeMatch.Status.ACTIVE
+    match.started_at = now
+    match.save(
+        update_fields=["player_two", "player_two_rating", "status", "started_at"]
+    )
+    if match.game_kind == RealtimeMatch.GameKind.QUIZ:
+        question_order = _select_question_order(match.contest)
+        ContestAttempt.objects.bulk_create(
+            [
+                ContestAttempt(
+                    contest=match.contest,
+                    user=match.player_one,
+                    match=match,
+                    question_order=question_order,
+                ),
+                ContestAttempt(
+                    contest=match.contest,
+                    user=user,
+                    match=match,
+                    question_order=question_order,
+                ),
+            ]
+        )
+        match.attempts.update(started_at=now)
+    else:
+        puzzle, solution = build_game(
+            match.game_kind,
+            MathGameAttempt.Difficulty.STANDARD,
+        )
+        MathGameAttempt.objects.bulk_create(
+            [
+                MathGameAttempt(
+                    user=match.player_one,
+                    match=match,
+                    kind=match.game_kind,
+                    puzzle=puzzle,
+                    solution=solution,
+                ),
+                MathGameAttempt(
+                    user=user,
+                    match=match,
+                    kind=match.game_kind,
+                    puzzle=puzzle,
+                    solution=solution,
+                ),
+            ]
+        )
+        match.game_attempts.update(started_at=now)
+    notify_match_on_commit(match.id, "matched")
+    return match
+
 
 def normalize_answer(value):
     text = str(value).strip().lower().replace(" ", "")
@@ -28,19 +186,19 @@ def normalize_answer(value):
 def attempt_payload(attempt, include_results=False):
     questions = []
     answers = {answer.contest_question_id: answer for answer in attempt.answers.all()}
-    for item in attempt.contest.contest_questions.select_related("question_version").all():
+    for display_order, item in enumerate(_attempt_questions(attempt), start=1):
         question = {
-            "order": item.order,
+            "order": display_order,
             "prompt": item.question_version.prompt,
             "metadata": item.question_version.metadata,
             "points": item.points,
         }
-        if include_results and item.id in answers:
+        if include_results:
-            answer = answers[item.id]
+            answer = answers.get(item.id)
             question.update(
                 {
-                    "submitted_answer": answer.submitted_answer,
+                    "submitted_answer": answer.submitted_answer if answer else "",
-                    "is_correct": answer.is_correct,
+                    "is_correct": answer.is_correct if answer else False,
                     "correct_answer": item.question_version.answer,
                     "explanation": item.question_version.explanation,
                 }
@@ -48,6 +206,7 @@ def attempt_payload(attempt, include_results=False):
         questions.append(question)
     return {
         "attempt_id": attempt.id,
+        "match_id": attempt.match_id,
         "contest": attempt.contest.title,
         "kind": attempt.contest.kind,
         "status": attempt.status,
@@ -77,7 +236,11 @@ def start_attempt(user, contest):
                 existing,
                 include_results=existing.status != ContestAttempt.Status.ACTIVE,
             )
-    attempt = ContestAttempt.objects.create(contest=contest, user=user)
+    attempt = ContestAttempt.objects.create(
+        contest=contest,
+        user=user,
+        question_order=_select_question_order(contest),
+    )
     return attempt_payload(attempt)
 
 
@@ -90,7 +253,10 @@ def submit_attempt(user, attempt_id, raw_answers, submission_key):
     )
     if attempt.status != ContestAttempt.Status.ACTIVE:
         if submission_key and attempt.submission_key == submission_key:
-            return attempt_payload(attempt, include_results=True)
+            include_results = not attempt.match_id or (
+                attempt.match.status == RealtimeMatch.Status.COMPLETED
+            )
+            return attempt_payload(attempt, include_results=include_results)
         raise ValidationError("该答题记录已经结算")
     if not submission_key:
         raise ValidationError({"Idempotency-Key": "正式提交必须提供幂等键"})
@@ -98,9 +264,7 @@ def submit_attempt(user, attempt_id, raw_answers, submission_key):
     now = timezone.now()
     duration_ms = max(0, int((now - attempt.started_at).total_seconds() * 1000))
     limit_ms = attempt.contest.duration_seconds * 1000
-    items = list(
+    items = _attempt_questions(attempt)
-        attempt.contest.contest_questions.select_related("question_version").all()
-    )
     if not isinstance(raw_answers, list):
         raise ValidationError({"answers": "答案必须是数组"})
     by_order = {}
@@ -114,8 +278,8 @@ def submit_attempt(user, attempt_id, raw_answers, submission_key):
         raise ValidationError({"answers": "答案题号无效或重复"}) from exc
     score = 0
     correct_count = 0
-    for contest_question in items:
+    for display_order, contest_question in enumerate(items, start=1):
-        submitted = str(by_order.get(contest_question.order, ""))[:200]
+        submitted = str(by_order.get(display_order, ""))[:200]
         correct = normalize_answer(submitted) == normalize_answer(
             contest_question.question_version.answer
         )
@@ -153,20 +317,40 @@ def submit_attempt(user, attempt_id, raw_answers, submission_key):
             },
         )
     if attempt.match_id:
-        finalize_match(attempt.match_id)
+        match = finalize_match(attempt.match_id)
+        if match.status != RealtimeMatch.Status.COMPLETED:
+            notify_match_on_commit(attempt.match_id, "submitted")
+        attempt.match.refresh_from_db()
+        return attempt_payload(
+            attempt,
+            include_results=attempt.match.status == RealtimeMatch.Status.COMPLETED,
+        )
     return attempt_payload(attempt, include_results=True)
 
 
 @transaction.atomic
-def find_match(user, contest):
+def find_match(user, contest, game_kind=RealtimeMatch.GameKind.QUIZ):
-    if contest.kind != Contest.Kind.REALTIME or contest.status != Contest.Status.PUBLISHED:
+    _validate_realtime_contest(contest)
-        raise ValidationError("实时比赛不可用")
+    game_kind = _validate_game_kind(game_kind)
+    _cancel_expired_waiting_matches()
+    active = _active_match_for(user)
+    if active:
+        if active.contest_id == contest.id and active.game_kind == game_kind:
+            return active
+        raise ValidationError("你已有一场进行中的实时比赛")
+    _cancel_other_waiting_matches(
+        user,
+        RealtimeMatch.MatchType.RANDOM,
+        game_kind,
+    )
     existing = (
         RealtimeMatch.objects.filter(
             Q(player_one=user) | Q(player_two=user),
             contest=contest,
+            match_type=RealtimeMatch.MatchType.RANDOM,
+            game_kind=game_kind,
             status__in=[RealtimeMatch.Status.WAITING, RealtimeMatch.Status.ACTIVE],
-        )
+        ).filter(Q(status=RealtimeMatch.Status.ACTIVE) | Q(expires_at__gt=timezone.now()))
         .order_by("-created_at")
         .first()
     )
@@ -177,7 +361,10 @@ def find_match(user, contest):
         RealtimeMatch.objects.select_for_update(skip_locked=True)
         .filter(
             contest=contest,
+            match_type=RealtimeMatch.MatchType.RANDOM,
+            game_kind=game_kind,
             status=RealtimeMatch.Status.WAITING,
+            expires_at__gt=timezone.now(),
             player_one_rating__gte=max(0, user.rating - 300),
             player_one_rating__lte=user.rating + 300,
         )
@@ -188,69 +375,258 @@ def find_match(user, contest):
     if waiting is None:
         return RealtimeMatch.objects.create(
             contest=contest,
+            match_type=RealtimeMatch.MatchType.RANDOM,
+            game_kind=game_kind,
             player_one=user,
             player_one_rating=user.rating,
+            expires_at=timezone.now() + WAITING_MATCH_TTL,
         )
 
-    waiting.player_two = user
+    return _activate_match(waiting, user)
-    waiting.player_two_rating = user.rating
+
-    waiting.status = RealtimeMatch.Status.ACTIVE
+
-    waiting.started_at = timezone.now()
+@transaction.atomic
-    waiting.save(
+def create_challenge(user, contest, game_kind=RealtimeMatch.GameKind.QUIZ):
-        update_fields=["player_two", "player_two_rating", "status", "started_at"]
+    _validate_realtime_contest(contest)
+    game_kind = _validate_game_kind(game_kind)
+    _cancel_expired_waiting_matches()
+    active = _active_match_for(user)
+    if active:
+        raise ValidationError("你已有一场进行中的实时比赛")
+    _cancel_other_waiting_matches(
+        user,
+        RealtimeMatch.MatchType.CHALLENGE,
+        game_kind,
     )
-    ContestAttempt.objects.bulk_create(
+    existing = (
-        [
+        RealtimeMatch.objects.filter(
-            ContestAttempt(contest=contest, user=waiting.player_one, match=waiting),
+            player_one=user,
-            ContestAttempt(contest=contest, user=user, match=waiting),
+            contest=contest,
-        ]
+            match_type=RealtimeMatch.MatchType.CHALLENGE,
+            game_kind=game_kind,
+            status=RealtimeMatch.Status.WAITING,
+            expires_at__gt=timezone.now(),
+        )
+        .order_by("-created_at")
+        .first()
     )
-    return waiting
+    if existing:
+        return existing
+    return RealtimeMatch.objects.create(
+        contest=contest,
+        match_type=RealtimeMatch.MatchType.CHALLENGE,
+        game_kind=game_kind,
+        challenge_code=_new_challenge_code(),
+        player_one=user,
+        player_one_rating=user.rating,
+        expires_at=timezone.now() + WAITING_MATCH_TTL,
+    )
+
+
+@transaction.atomic
+def join_challenge(user, challenge_code):
+    _cancel_expired_waiting_matches()
+    code = str(challenge_code or "").strip().upper()
+    if len(code) != 6 or any(character not in CHALLENGE_CODE_ALPHABET for character in code):
+        raise ValidationError({"challenge_code": "联机码应为 6 位大写字母或数字"})
+    try:
+        match = (
+            RealtimeMatch.objects.select_for_update()
+            .select_related("contest", "player_one")
+            .get(
+                challenge_code=code,
+                match_type=RealtimeMatch.MatchType.CHALLENGE,
+            )
+        )
+    except RealtimeMatch.DoesNotExist as exc:
+        raise ValidationError({"challenge_code": "联机码不存在"}) from exc
+    if match.player_one_id == user.id:
+        raise ValidationError({"challenge_code": "不能加入自己创建的约战"})
+    if match.status != RealtimeMatch.Status.WAITING or (
+        match.expires_at and match.expires_at <= timezone.now()
+    ):
+        raise ValidationError({"challenge_code": "联机码已失效或已被使用"})
+    active = _active_match_for(user)
+    if active and active.id != match.id:
+        raise ValidationError("你已有一场进行中的实时比赛")
+    own_waiting_ids = list(
+        RealtimeMatch.objects.filter(
+            player_one=user,
+            status=RealtimeMatch.Status.WAITING,
+        )
+        .exclude(id=match.id)
+        .values_list("id", flat=True)
+    )
+    if own_waiting_ids:
+        RealtimeMatch.objects.filter(id__in=own_waiting_ids).update(
+            status=RealtimeMatch.Status.CANCELLED
+        )
+        for match_id in own_waiting_ids:
+            notify_match_on_commit(match_id, "cancelled")
+    return _activate_match(match, user)
+
+
+@transaction.atomic
+def cancel_waiting_match(user, match_id):
+    match = RealtimeMatch.objects.select_for_update().get(id=match_id)
+    if match.player_one_id != user.id:
+        raise ValidationError("只有创建者可以取消等待")
+    if match.status != RealtimeMatch.Status.WAITING:
+        raise ValidationError("只能取消等待中的比赛")
+    match.status = RealtimeMatch.Status.CANCELLED
+    match.save(update_fields=["status"])
+    notify_match_on_commit(match.id, "cancelled")
+    return match
 
 
 def match_payload(match, user):
-    attempt = match.attempts.filter(user=user).first()
+    from .game_services import game_payload
+
+    reveal_results = match.status == RealtimeMatch.Status.COMPLETED
+    if match.game_kind == RealtimeMatch.GameKind.QUIZ:
+        attempts = {
+            attempt.user_id: attempt
+            for attempt in match.attempts.select_related("user", "contest").all()
+        }
+    else:
+        attempts = {
+            attempt.user_id: attempt
+            for attempt in match.game_attempts.select_related("user").all()
+        }
+    attempt = attempts.get(user.id)
     opponent = match.player_two if match.player_one_id == user.id else match.player_one
+    opponent_attempt = attempts.get(opponent.id) if opponent else None
+    rating_change = (
+        match.rating_changes.filter(user=user).values("delta", "rating_after").first()
+        if reveal_results
+        else None
+    )
+    attempt_data = None
+    if attempt:
+        attempt_data = (
+            attempt_payload(attempt, include_results=reveal_results)
+            if match.game_kind == RealtimeMatch.GameKind.QUIZ
+            else game_payload(attempt)
+        )
     return {
         "match_id": match.id,
+        "match_type": match.match_type,
+        "game_kind": match.game_kind,
+        "game_label": match.get_game_kind_display(),
+        "is_owner": match.player_one_id == user.id,
+        "challenge_code": (
+            match.challenge_code
+            if match.match_type == RealtimeMatch.MatchType.CHALLENGE
+            and match.status == RealtimeMatch.Status.WAITING
+            else None
+        ),
         "status": match.status,
+        "contest": (
+            match.contest.title
+            if match.game_kind == RealtimeMatch.GameKind.QUIZ
+            else match.get_game_kind_display()
+        ),
+        "duration_seconds": match.contest.duration_seconds,
+        "expires_at": match.expires_at,
+        "started_at": match.started_at,
         "opponent": (
-            {"nickname": opponent.nickname, "rating": opponent.rating}
+            {
+                "nickname": opponent.nickname,
+                "rating": opponent.rating,
+                "status": opponent_attempt.status if opponent_attempt else None,
+                "score": opponent_attempt.score if reveal_results and opponent_attempt else None,
+                "correct_count": (
+                    opponent_attempt.correct_count
+                    if reveal_results
+                    and opponent_attempt
+                    and match.game_kind == RealtimeMatch.GameKind.QUIZ
+                    else None
+                ),
+                "duration_ms": (
+                    opponent_attempt.duration_ms
+                    if reveal_results and opponent_attempt
+                    else None
+                ),
+            }
             if opponent
             else None
         ),
-        "attempt": attempt_payload(attempt) if attempt else None,
+        "attempt": attempt_data,
+        "result": (
+            {
+                "winner": (
+                    "draw"
+                    if match.winner_id is None
+                    else "self"
+                    if match.winner_id == user.id
+                    else "opponent"
+                ),
+                "rating_delta": rating_change["delta"] if rating_change else 0,
+                "rating_after": rating_change["rating_after"] if rating_change else user.rating,
+            }
+            if reveal_results
+            else None
+        ),
         "websocket_path": f"/ws/v1/contest/matches/{match.id}/",
     }
 
 
+@transaction.atomic
+def refresh_match_state(match_id):
+    match = (
+        RealtimeMatch.objects.select_for_update()
+        .select_related("contest", "player_one", "player_two")
+        .get(id=match_id)
+    )
+    if (
+        match.status == RealtimeMatch.Status.WAITING
+        and match.expires_at
+        and match.expires_at <= timezone.now()
+    ):
+        match.status = RealtimeMatch.Status.CANCELLED
+        match.save(update_fields=["status"])
+        notify_match_on_commit(match.id, "expired")
+    elif match.status == RealtimeMatch.Status.ACTIVE and match.started_at:
+        deadline = match.started_at + timedelta(seconds=match.contest.duration_seconds)
+        if timezone.now() >= deadline:
+            now = timezone.now()
+            if match.game_kind == RealtimeMatch.GameKind.QUIZ:
+                for attempt in match.attempts.filter(
+                    status=ContestAttempt.Status.ACTIVE
+                ):
+                    elapsed_ms = max(
+                        0,
+                        int((now - attempt.started_at).total_seconds() * 1000),
+                    )
+                    attempt.status = ContestAttempt.Status.EXPIRED
+                    attempt.duration_ms = elapsed_ms
+                    attempt.submitted_at = now
+                    attempt.save(
+                        update_fields=["status", "duration_ms", "submitted_at"]
+                    )
+                match = finalize_match(match.id)
+            else:
+                elapsed_ms = max(
+                    0,
+                    int((now - match.started_at).total_seconds() * 1000),
+                )
+                match.game_attempts.filter(
+                    status=MathGameAttempt.Status.ACTIVE
+                ).update(
+                    status=MathGameAttempt.Status.FAILED,
+                    duration_ms=elapsed_ms,
+                    submitted_at=now,
+                )
+                match = finalize_game_match(match.id)
+    return match
+
+
 def _elo_delta(rating, opponent_rating, score, k=32):
     expected = 1 / (1 + 10 ** ((opponent_rating - rating) / 400))
     return round(k * (score - expected))
 
 
-@transaction.atomic
+def _settle_match(match, first_result, second_result, winner_id):
-def finalize_match(match_id):
-    match = RealtimeMatch.objects.select_for_update().get(id=match_id)
-    if match.status != RealtimeMatch.Status.ACTIVE:
-        return match
-    attempts = list(match.attempts.select_related("user").order_by("user_id"))
-    if len(attempts) != 2 or any(
-        attempt.status == ContestAttempt.Status.ACTIVE for attempt in attempts
-    ):
-        return match
-
-    first = next(item for item in attempts if item.user_id == match.player_one_id)
-    second = next(item for item in attempts if item.user_id == match.player_two_id)
-    if first.score > second.score:
-        first_result, second_result = 1.0, 0.0
-        match.winner_id = first.user_id
-    elif second.score > first.score:
-        first_result, second_result = 0.0, 1.0
-        match.winner_id = second.user_id
-    else:
-        first_result = second_result = 0.5
-
     users = {
         user.id: user
         for user in User.objects.select_for_update().filter(
@@ -274,7 +650,86 @@ def finalize_match(match_id):
             rating_after=user.rating,
             delta=delta,
         )
+    match.winner_id = winner_id
     match.status = RealtimeMatch.Status.COMPLETED
     match.completed_at = timezone.now()
     match.save(update_fields=["winner", "status", "completed_at"])
+    notify_match_on_commit(match.id, "completed")
     return match
+
+
+@transaction.atomic
+def finalize_match(match_id):
+    match = RealtimeMatch.objects.select_for_update().get(id=match_id)
+    if match.status != RealtimeMatch.Status.ACTIVE:
+        return match
+    attempts = list(match.attempts.select_related("user").order_by("user_id"))
+    if len(attempts) != 2 or any(
+        attempt.status == ContestAttempt.Status.ACTIVE for attempt in attempts
+    ):
+        return match
+
+    first = next(item for item in attempts if item.user_id == match.player_one_id)
+    second = next(item for item in attempts if item.user_id == match.player_two_id)
+    if first.score > second.score:
+        first_result, second_result = 1.0, 0.0
+        winner_id = first.user_id
+    elif second.score > first.score:
+        first_result, second_result = 0.0, 1.0
+        winner_id = second.user_id
+    else:
+        diff = first.duration_ms - second.duration_ms
+        if abs(diff) <= 100:
+            first_result = second_result = 0.5
+            winner_id = None
+        elif diff < 0:
+            first_result, second_result = 1.0, 0.0
+            winner_id = first.user_id
+        else:
+            first_result, second_result = 0.0, 1.0
+            winner_id = second.user_id
+    return _settle_match(
+        match,
+        first_result,
+        second_result,
+        winner_id,
+    )
+
+
+@transaction.atomic
+def finalize_game_match(match_id):
+    match = RealtimeMatch.objects.select_for_update().get(id=match_id)
+    if match.status != RealtimeMatch.Status.ACTIVE:
+        return match
+    attempts = list(match.game_attempts.select_related("user").order_by("user_id"))
+    if len(attempts) != 2 or any(
+        attempt.status == MathGameAttempt.Status.ACTIVE for attempt in attempts
+    ):
+        return match
+
+    first = next(item for item in attempts if item.user_id == match.player_one_id)
+    second = next(item for item in attempts if item.user_id == match.player_two_id)
+    first_completed = first.status == MathGameAttempt.Status.COMPLETED
+    second_completed = second.status == MathGameAttempt.Status.COMPLETED
+    if first_completed and not second_completed:
+        first_result, second_result, winner_id = 1.0, 0.0, first.user_id
+    elif second_completed and not first_completed:
+        first_result, second_result, winner_id = 0.0, 1.0, second.user_id
+    elif not first_completed and not second_completed:
+        first_result = second_result = 0.5
+        winner_id = None
+    else:
+        diff = first.duration_ms - second.duration_ms
+        if abs(diff) <= 100:
+            first_result = second_result = 0.5
+            winner_id = None
+        elif diff < 0:
+            first_result, second_result, winner_id = 1.0, 0.0, first.user_id
+        else:
+            first_result, second_result, winner_id = 0.0, 1.0, second.user_id
+    return _settle_match(
+        match,
+        first_result,
+        second_result,
+        winner_id,
+    )

backend/contest/test_consumers.py

@@ -0,0 +1,87 @@
+import pytest
+from asgiref.sync import async_to_sync
+from channels.layers import get_channel_layer
+from channels.routing import URLRouter
+from channels.testing import WebsocketCommunicator
+from django.urls import path
+
+from accounts.models import User
+from contest.consumers import MatchConsumer
+from contest.models import Contest, Question, RealtimeMatch
+
+
+@pytest.mark.django_db(transaction=True)
+def test_match_consumer_双方连接并同步答题进度():
+    first = User.objects.create_user(
+        username="socket_player_one",
+        password="StrongPass_2026",
+        nickname="WS 玩家一",
+    )
+    second = User.objects.create_user(
+        username="socket_player_two",
+        password="StrongPass_2026",
+        nickname="WS 玩家二",
+    )
+    outsider = User.objects.create_user(
+        username="socket_outsider",
+        password="StrongPass_2026",
+        nickname="WS 局外人",
+    )
+    contest = Contest.objects.create(
+        slug="socket-contest",
+        title="WebSocket 联机赛",
+        kind=Contest.Kind.REALTIME,
+        track=Question.Track.STANDARD,
+        status=Contest.Status.PUBLISHED,
+    )
+    match = RealtimeMatch.objects.create(
+        contest=contest,
+        player_one=first,
+        player_two=second,
+        player_one_rating=first.rating,
+        player_two_rating=second.rating,
+        status=RealtimeMatch.Status.ACTIVE,
+    )
+    application = URLRouter(
+        [
+            path(
+                "ws/test/<uuid:match_id>/",
+                MatchConsumer.as_asgi(),
+            )
+        ]
+    )
+
+    async def scenario():
+        outsider_socket = WebsocketCommunicator(application, f"/ws/test/{match.id}/")
+        outsider_socket.scope["user"] = outsider
+        outsider_connected, close_code = await outsider_socket.connect()
+        assert not outsider_connected
+        assert close_code == 4403
+
+        first_socket = WebsocketCommunicator(application, f"/ws/test/{match.id}/")
+        second_socket = WebsocketCommunicator(application, f"/ws/test/{match.id}/")
+        first_socket.scope["user"] = first
+        second_socket.scope["user"] = second
+        first_connected, _ = await first_socket.connect()
+        second_connected, _ = await second_socket.connect()
+        assert first_connected and second_connected
+        assert (await first_socket.receive_json_from())["type"] == "connected"
+        assert (await second_socket.receive_json_from())["type"] == "connected"
+
+        await first_socket.send_json_to({"type": "progress", "answered_count": 3})
+        first_progress = await first_socket.receive_json_from()
+        second_progress = await second_socket.receive_json_from()
+        assert first_progress["answered_count"] == 3
+        assert second_progress["answered_count"] == 3
+        assert second_progress["user_id"] == str(first.id)
+
+        await get_channel_layer().group_send(
+            f"match_{match.id}",
+            {"type": "match.state", "reason": "completed"},
+        )
+        assert (await first_socket.receive_json_from())["reason"] == "completed"
+        assert (await second_socket.receive_json_from())["reason"] == "completed"
+        await first_socket.disconnect()
+        await second_socket.disconnect()
+
+    async_to_sync(scenario)()

backend/contest/test_game_services.py

@@ -47,6 +47,55 @@ def test_twenty_four_服务端校验数字使用与幂等提交(game_user):
     assert replay["score"] == result["score"]
 
 
+@pytest.mark.django_db
+def test_twenty_four_api_兼容常见数学符号并完成计分(client, game_user):
+    attempt = MathGameAttempt.objects.create(
+        user=game_user,
+        kind=MathGameAttempt.Kind.TWENTY_FOUR,
+        puzzle={"numbers": [1, 3, 4, 6]},
+        solution={"target": 24},
+    )
+    client.force_login(game_user)
+
+    response = client.post(
+        f"/api/v1/contests/games/attempts/{attempt.id}/submit/",
+        {"expression": "６÷（１−３÷４）"},
+        content_type="application/json",
+        HTTP_IDEMPOTENCY_KEY="unicode-game-submit",
+    )
+
+    assert response.status_code == 200
+    assert response.json()["status"] == MathGameAttempt.Status.COMPLETED
+    assert response.json()["score"] >= 100
+    attempt.refresh_from_db()
+    assert attempt.submission == {"expression": "6/(1-3/4)"}
+
+
+@pytest.mark.django_db
+def test_twenty_four_api_答案错误时返回具体原因和请求编号(client, game_user):
+    attempt = MathGameAttempt.objects.create(
+        user=game_user,
+        kind=MathGameAttempt.Kind.TWENTY_FOUR,
+        puzzle={"numbers": [1, 3, 4, 6]},
+        solution={"target": 24},
+    )
+    client.force_login(game_user)
+
+    response = client.post(
+        f"/api/v1/contests/games/attempts/{attempt.id}/submit/",
+        {"expression": "1 + 3 + 4 + 6"},
+        content_type="application/json",
+        HTTP_IDEMPOTENCY_KEY="incorrect-game-submit",
+        HTTP_X_REQUEST_ID="twenty-four-invalid-test",
+    )
+
+    assert response.status_code == 400
+    assert response.json()["error"]["message"] == "当前结果是 14，还没有得到 24"
+    assert response.json()["error"]["request_id"] == "twenty-four-invalid-test"
+    attempt.refresh_from_db()
+    assert attempt.status == MathGameAttempt.Status.ACTIVE
+
+
 @pytest.mark.django_db
 def test_twenty_four_拒绝额外数字和非四则表达式(game_user):
     attempt = MathGameAttempt.objects.create(
@@ -70,6 +119,13 @@ def test_twenty_four_拒绝额外数字和非四则表达式(game_user):
             {"expression": "pow(2, 3) * 3"},
             "invalid-function",
         )
+    with pytest.raises(ValidationError, match="只允许"):
+        submit_game(
+            game_user,
+            attempt.id,
+            {"expression": "6 / (True - 3 / 4)"},
+            "invalid-boolean",
+        )
 
 
 @pytest.mark.django_db
@@ -118,4 +174,5 @@ def test_math_game_api_目录公开但开局需要登录(client, game_user):
     assert {item["kind"] for item in catalog.json()} == {"sudoku", "twenty_four"}
     assert anonymous_start.status_code in {401, 403}
     assert authenticated_start.status_code == 201
+    assert authenticated_start.json()["difficulty"] == "standard"
     assert "solution" not in authenticated_start.json()

backend/contest/test_realtime_api.py

@@ -0,0 +1,256 @@
+from datetime import timedelta
+
+import pytest
+from django.test import Client
+from django.utils import timezone
+
+from accounts.models import User
+from contest.models import (
+    Contest,
+    ContestQuestion,
+    Question,
+    QuestionVersion,
+    RealtimeMatch,
+)
+
+
+@pytest.fixture
+def realtime_api_setup(db):
+    question = Question.objects.create(
+        slug="realtime-api-question",
+        track=Question.Track.STANDARD,
+    )
+    version = QuestionVersion.objects.create(
+        question=question,
+        version=1,
+        prompt="18 + 24",
+        answer="42",
+        explanation="18 + 24 = 42",
+    )
+    contest = Contest.objects.create(
+        slug="realtime-api",
+        title="API 联机赛",
+        kind=Contest.Kind.REALTIME,
+        track=Question.Track.STANDARD,
+        status=Contest.Status.PUBLISHED,
+        duration_seconds=60,
+    )
+    ContestQuestion.objects.create(
+        contest=contest,
+        question_version=version,
+        order=1,
+        points=100,
+    )
+    first = User.objects.create_user(
+        username="api_player_one",
+        password="StrongPass_2026",
+        nickname="API 玩家一",
+    )
+    second = User.objects.create_user(
+        username="api_player_two",
+        password="StrongPass_2026",
+        nickname="API 玩家二",
+    )
+    first_client = Client()
+    second_client = Client()
+    first_client.force_login(first)
+    second_client.force_login(second)
+    return contest, first_client, second_client
+
+
+@pytest.mark.django_db
+def test_challenge_api_创建加入状态提交形成完整闭环(realtime_api_setup):
+    contest, first_client, second_client = realtime_api_setup
+    created = first_client.post(
+        f"/api/v1/contests/{contest.slug}/challenges/",
+        {},
+        content_type="application/json",
+    )
+    code = created.json()["challenge_code"]
+
+    joined = second_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": code.lower()},
+        content_type="application/json",
+    )
+    match_id = joined.json()["match_id"]
+    first_state = first_client.get(f"/api/v1/contests/matches/{match_id}/")
+
+    assert created.status_code == 201
+    assert joined.status_code == 200
+    assert joined.json()["status"] == "active"
+    assert first_state.json()["opponent"]["nickname"] == "API 玩家二"
+
+    first_attempt = first_state.json()["attempt"]["attempt_id"]
+    second_attempt = joined.json()["attempt"]["attempt_id"]
+    first_submit = first_client.post(
+        f"/api/v1/contests/attempts/{first_attempt}/submit/",
+        {"answers": [{"order": 1, "answer": "42"}]},
+        content_type="application/json",
+        HTTP_IDEMPOTENCY_KEY="api-submit-one",
+    )
+    second_submit = second_client.post(
+        f"/api/v1/contests/attempts/{second_attempt}/submit/",
+        {"answers": [{"order": 1, "answer": "0"}]},
+        content_type="application/json",
+        HTTP_IDEMPOTENCY_KEY="api-submit-two",
+    )
+
+    assert first_submit.json()["status"] == "active"
+    assert "correct_answer" not in first_submit.json()["attempt"]["questions"][0]
+    assert second_submit.json()["status"] == "completed"
+    assert second_submit.json()["result"]["winner"] == "opponent"
+    final_state = first_client.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final_state["result"]["winner"] == "self"
+    assert final_state["attempt"]["questions"][0]["correct_answer"] == "42"
+
+
+@pytest.mark.django_db
+def test_challenge_api_无效联机码返回具体原因_request_id_和诊断日志(
+    realtime_api_setup,
+    caplog,
+):
+    _, _, second_client = realtime_api_setup
+    caplog.set_level("INFO", logger="common.api")
+
+    response = second_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": "ABC234"},
+        content_type="application/json",
+        HTTP_X_REQUEST_ID="challenge-invalid-test",
+    )
+
+    assert response.status_code == 400
+    assert response["X-Request-ID"] == "challenge-invalid-test"
+    assert response.json()["error"] == {
+        "code": "invalid",
+        "message": "联机码不存在",
+        "details": {"challenge_code": "联机码不存在"},
+        "request_id": "challenge-invalid-test",
+    }
+    assert "api_request_error method=POST" in caplog.text
+    assert "path=/api/v1/contests/challenges/join/" in caplog.text
+    assert "fields=challenge_code message=联机码不存在" in caplog.text
+
+
+@pytest.mark.django_db
+def test_challenge_api_创建者不能加入自己的联机码(realtime_api_setup):
+    contest, first_client, _ = realtime_api_setup
+    created = first_client.post(
+        f"/api/v1/contests/{contest.slug}/challenges/",
+        {},
+        content_type="application/json",
+    )
+
+    response = first_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": created.json()["challenge_code"]},
+        content_type="application/json",
+    )
+
+    assert response.status_code == 400
+    assert response.json()["error"]["message"] == "不能加入自己创建的约战"
+
+
+@pytest.mark.django_db
+def test_challenge_api_过期联机码返回具体原因(realtime_api_setup):
+    contest, first_client, second_client = realtime_api_setup
+    created = first_client.post(
+        f"/api/v1/contests/{contest.slug}/challenges/",
+        {},
+        content_type="application/json",
+    )
+    RealtimeMatch.objects.filter(id=created.json()["match_id"]).update(
+        expires_at=timezone.now() - timedelta(seconds=1)
+    )
+
+    response = second_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": created.json()["challenge_code"]},
+        content_type="application/json",
+    )
+
+    assert response.status_code == 400
+    assert response.json()["error"]["message"] == "联机码已失效或已被使用"
+
+
+@pytest.mark.django_db
+def test_challenge_api_已使用联机码返回具体原因(realtime_api_setup):
+    contest, first_client, second_client = realtime_api_setup
+    created = first_client.post(
+        f"/api/v1/contests/{contest.slug}/challenges/",
+        {},
+        content_type="application/json",
+    )
+    second_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": created.json()["challenge_code"]},
+        content_type="application/json",
+    )
+    third = User.objects.create_user(
+        username="api_player_three",
+        password="StrongPass_2026",
+        nickname="API 玩家三",
+    )
+    third_client = Client()
+    third_client.force_login(third)
+
+    response = third_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": created.json()["challenge_code"]},
+        content_type="application/json",
+    )
+
+    assert response.status_code == 400
+    assert response.json()["error"]["message"] == "联机码已失效或已被使用"
+
+
+@pytest.mark.django_db
+def test_challenge_api_24点竞速完整闭环(realtime_api_setup):
+    contest, first_client, second_client = realtime_api_setup
+    created = first_client.post(
+        f"/api/v1/contests/{contest.slug}/challenges/",
+        {"game_kind": "twenty_four"},
+        content_type="application/json",
+    )
+    joined = second_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": created.json()["challenge_code"]},
+        content_type="application/json",
+    )
+
+    assert joined.status_code == 200
+    assert joined.json()["game_kind"] == "twenty_four"
+    assert created.json()["attempt"] is None
+    first_state = first_client.get(
+        f"/api/v1/contests/matches/{joined.json()['match_id']}/"
+    ).json()
+    assert first_state["attempt"]["puzzle"] == joined.json()["attempt"]["puzzle"]
+
+    solutions = {
+        (2, 3, 4, 9): "(2/3)*4*9",
+        (3, 5, 7, 13): "(7+5*13)/3",
+        (4, 7, 8, 8): "8*(4+7-8)",
+    }
+    expression = solutions[
+        tuple(sorted(joined.json()["attempt"]["puzzle"]["numbers"]))
+    ]
+    first_submit = first_client.post(
+        f"/api/v1/contests/games/attempts/{first_state['attempt']['attempt_id']}/submit/",
+        {"expression": expression},
+        content_type="application/json",
+        HTTP_IDEMPOTENCY_KEY="api-game-first",
+    )
+    second_submit = second_client.post(
+        f"/api/v1/contests/games/attempts/{joined.json()['attempt']['attempt_id']}/submit/",
+        {"expression": expression},
+        content_type="application/json",
+        HTTP_IDEMPOTENCY_KEY="api-game-second",
+    )
+
+    assert first_submit.status_code == 200
+    assert first_submit.json()["status"] == "active"
+    assert first_submit.json()["attempt"]["status"] == "completed"
+    assert second_submit.status_code == 200
+    assert second_submit.json()["status"] == "completed"
+    assert second_submit.json()["result"]["winner"] in {"self", "opponent", "draw"}

backend/contest/test_seed_contests.py

@@ -0,0 +1,8 @@
+from contest.management.commands.seed_contests import QUESTIONS
+from contest.models import Question
+
+
+def test_seed_question_pool_三个历史赛道题量充足():
+    assert len(QUESTIONS[Question.Track.BEGINNER]) == 400
+    assert len(QUESTIONS[Question.Track.STANDARD]) == 400
+    assert len(QUESTIONS[Question.Track.ADVANCED]) == 200

backend/contest/test_services.py

@@ -5,19 +5,27 @@ from django.utils import timezone
 from rest_framework.exceptions import ValidationError
 
 from accounts.models import User
+from contest.game_services import submit_game
 from contest.models import (
     Contest,
     ContestAttempt,
     ContestQuestion,
+    MathGameAttempt,
     Question,
     QuestionVersion,
     RatingHistory,
     RealtimeMatch,
 )
 from contest.services import (
+    cancel_waiting_match,
+    create_challenge,
+    finalize_game_match,
     finalize_match,
     find_match,
+    join_challenge,
+    match_payload,
     normalize_answer,
+    refresh_match_state,
     start_attempt,
     submit_attempt,
 )
@@ -62,6 +70,16 @@ def daily_contest(db):
     return contest
 
 
+@pytest.fixture
+def realtime_contest(daily_contest):
+    daily_contest.kind = Contest.Kind.REALTIME
+    daily_contest.slug = "realtime-with-question"
+    daily_contest.title = "联机测试赛"
+    daily_contest.duration_seconds = 60
+    daily_contest.save(update_fields=["kind", "slug", "title", "duration_seconds"])
+    return daily_contest
+
+
 @pytest.mark.parametrize(
     "raw, expected",
     [
@@ -175,6 +193,21 @@ def test_find_match_同分玩家配对并由_finalize_match_唯一结算_rating(
         track=Question.Track.STANDARD,
         status=Contest.Status.PUBLISHED,
     )
+    question = Question.objects.create(
+        slug="realtime-rating-question",
+        track=Question.Track.STANDARD,
+    )
+    version = QuestionVersion.objects.create(
+        question=question,
+        version=1,
+        prompt="1 + 1",
+        answer="2",
+    )
+    ContestQuestion.objects.create(
+        contest=contest,
+        question_version=version,
+        order=1,
+    )
 
     waiting = find_match(first, contest)
     active = find_match(second, contest)
@@ -201,3 +234,248 @@ def test_find_match_同分玩家配对并由_finalize_match_唯一结算_rating(
     assert first.rating == 1016
     assert second.rating == 984
     assert RatingHistory.objects.filter(match=active).count() == 2
+
+
+@pytest.mark.django_db
+def test_challenge_code_创建者和加入者通过联机码进入同一场(realtime_contest):
+    first = User.objects.create_user(
+        username="challenge_owner",
+        password="StrongPass_2026",
+        nickname="房主",
+    )
+    second = User.objects.create_user(
+        username="challenge_guest",
+        password="StrongPass_2026",
+        nickname="访客",
+    )
+
+    waiting = create_challenge(first, realtime_contest)
+    active = join_challenge(second, waiting.challenge_code.lower())
+    owner_payload = match_payload(active, first)
+    guest_payload = match_payload(active, second)
+
+    assert len(waiting.challenge_code) == 6
+    assert active.id == waiting.id
+    assert active.match_type == RealtimeMatch.MatchType.CHALLENGE
+    assert active.status == RealtimeMatch.Status.ACTIVE
+    assert active.attempts.count() == 2
+    assert owner_payload["opponent"]["nickname"] == "访客"
+    assert guest_payload["opponent"]["nickname"] == "房主"
+    assert owner_payload["attempt"]["questions"] == guest_payload["attempt"]["questions"]
+
+
+@pytest.mark.django_db
+def test_random_match_不会加入联机码约战(realtime_contest):
+    owner = User.objects.create_user(
+        username="private_owner",
+        password="StrongPass_2026",
+        nickname="约战房主",
+    )
+    random_player = User.objects.create_user(
+        username="random_player",
+        password="StrongPass_2026",
+        nickname="随机玩家",
+    )
+
+    challenge = create_challenge(owner, realtime_contest)
+    random_match = find_match(random_player, realtime_contest)
+
+    assert challenge.status == RealtimeMatch.Status.WAITING
+    assert random_match.id != challenge.id
+    assert random_match.match_type == RealtimeMatch.MatchType.RANDOM
+
+
+@pytest.mark.django_db
+def test_realtime_submit_双方结束前不泄露答案且结束后结算(realtime_contest):
+    first = User.objects.create_user(
+        username="fair_player_one",
+        password="StrongPass_2026",
+        nickname="公平玩家一",
+    )
+    second = User.objects.create_user(
+        username="fair_player_two",
+        password="StrongPass_2026",
+        nickname="公平玩家二",
+    )
+    match = join_challenge(
+        second,
+        create_challenge(first, realtime_contest).challenge_code,
+    )
+    first_attempt = match.attempts.get(user=first)
+    second_attempt = match.attempts.get(user=second)
+
+    first_result = submit_attempt(
+        first,
+        first_attempt.id,
+        [{"order": 1, "answer": "42"}],
+        "fair-submit-one",
+    )
+    active_payload = match_payload(match, first)
+
+    assert "correct_answer" not in first_result["questions"][0]
+    assert active_payload["status"] == RealtimeMatch.Status.ACTIVE
+    assert active_payload["attempt"]["status"] == ContestAttempt.Status.SUBMITTED
+
+    submit_attempt(
+        second,
+        second_attempt.id,
+        [{"order": 1, "answer": "0"}],
+        "fair-submit-two",
+    )
+    match.refresh_from_db()
+    completed_payload = match_payload(match, first)
+
+    assert match.status == RealtimeMatch.Status.COMPLETED
+    assert completed_payload["result"]["winner"] == "self"
+    assert completed_payload["attempt"]["questions"][0]["correct_answer"] == "42"
+    assert completed_payload["opponent"]["score"] == 0
+
+
+@pytest.mark.django_db
+def test_realtime_timeout_未提交玩家自动过期并完成比赛(realtime_contest):
+    first = User.objects.create_user(
+        username="timeout_one",
+        password="StrongPass_2026",
+        nickname="超时玩家一",
+    )
+    second = User.objects.create_user(
+        username="timeout_two",
+        password="StrongPass_2026",
+        nickname="超时玩家二",
+    )
+    match = join_challenge(
+        second,
+        create_challenge(first, realtime_contest).challenge_code,
+    )
+    RealtimeMatch.objects.filter(id=match.id).update(
+        started_at=timezone.now() - timedelta(seconds=61)
+    )
+
+    refreshed = refresh_match_state(match.id)
+
+    assert refreshed.status == RealtimeMatch.Status.COMPLETED
+    assert not refreshed.attempts.filter(status=ContestAttempt.Status.ACTIVE).exists()
+
+
+@pytest.mark.django_db
+def test_challenge_owner_可取消等待中的联机码(realtime_contest):
+    owner = User.objects.create_user(
+        username="cancel_owner",
+        password="StrongPass_2026",
+        nickname="取消房主",
+    )
+    waiting = create_challenge(owner, realtime_contest)
+
+    cancelled = cancel_waiting_match(owner, waiting.id)
+
+    assert cancelled.status == RealtimeMatch.Status.CANCELLED
+    with pytest.raises(ValidationError, match="失效"):
+        join_challenge(
+            User.objects.create_user(
+                username="late_guest",
+                password="StrongPass_2026",
+                nickname="迟到访客",
+            ),
+            waiting.challenge_code,
+        )
+
+
+@pytest.mark.django_db
+def test_practice_attempt_从完整题池保存随机快照(user):
+    contest = Contest.objects.create(
+        slug="random-practice",
+        title="随机练习",
+        kind=Contest.Kind.PRACTICE,
+        track=Question.Track.STANDARD,
+        status=Contest.Status.PUBLISHED,
+    )
+    for index in range(12):
+        question = Question.objects.create(
+            slug=f"random-question-{index}",
+            track=Question.Track.STANDARD,
+        )
+        version = QuestionVersion.objects.create(
+            question=question,
+            version=1,
+            prompt=f"{index} + 1",
+            answer=str(index + 1),
+        )
+        ContestQuestion.objects.create(
+            contest=contest,
+            question_version=version,
+            order=index + 1,
+        )
+
+    payloads = [start_attempt(user, contest) for _ in range(8)]
+    snapshots = {
+        tuple(
+            ContestAttempt.objects.get(id=payload["attempt_id"]).question_order
+        )
+        for payload in payloads
+    }
+
+    assert all(len(payload["questions"]) == 8 for payload in payloads)
+    assert len(snapshots) > 1
+
+
+@pytest.mark.django_db
+def test_twenty_four_realtime_共享题面按完成时间结算_rating(realtime_contest):
+    first = User.objects.create_user(
+        username="game_match_one",
+        password="StrongPass_2026",
+        nickname="竞速玩家一",
+    )
+    second = User.objects.create_user(
+        username="game_match_two",
+        password="StrongPass_2026",
+        nickname="竞速玩家二",
+    )
+    waiting = create_challenge(
+        first,
+        realtime_contest,
+        RealtimeMatch.GameKind.TWENTY_FOUR,
+    )
+    match = join_challenge(second, waiting.challenge_code)
+    attempts = {
+        attempt.user_id: attempt for attempt in match.game_attempts.all()
+    }
+    first_attempt = attempts[first.id]
+    second_attempt = attempts[second.id]
+    assert first_attempt.puzzle == second_attempt.puzzle
+    assert first_attempt.solution == second_attempt.solution
+
+    solutions = {
+        (2, 3, 4, 9): "(2/3)*4*9",
+        (3, 5, 7, 13): "(7+5*13)/3",
+        (4, 7, 8, 8): "8*(4+7-8)",
+    }
+    expression = solutions[tuple(sorted(first_attempt.puzzle["numbers"]))]
+    MathGameAttempt.objects.filter(id=first_attempt.id).update(
+        started_at=timezone.now() - timedelta(seconds=2)
+    )
+    MathGameAttempt.objects.filter(id=second_attempt.id).update(
+        started_at=timezone.now() - timedelta(seconds=5)
+    )
+    submit_game(
+        first,
+        first_attempt.id,
+        {"expression": expression},
+        "game-race-first",
+    )
+    assert finalize_game_match(match.id).status == RealtimeMatch.Status.ACTIVE
+    submit_game(
+        second,
+        second_attempt.id,
+        {"expression": expression},
+        "game-race-second",
+    )
+
+    completed = finalize_game_match(match.id)
+    first.refresh_from_db()
+    second.refresh_from_db()
+
+    assert completed.status == RealtimeMatch.Status.COMPLETED
+    assert completed.winner_id == first.id
+    assert first.rating == 1016
+    assert second.rating == 984
+    assert RatingHistory.objects.filter(match=match).count() == 2

backend/contest/test_tiebreak.py

@@ -0,0 +1,317 @@
+"""端到端模拟两人实时竞赛，覆盖同分不同时长的平局判定场景。"""
+
+from datetime import timedelta
+
+import pytest
+from django.test import Client
+from django.utils import timezone
+
+from accounts.models import User
+from contest.models import (
+    Contest,
+    ContestQuestion,
+    Question,
+    QuestionVersion,
+    RealtimeMatch,
+)
+
+
+def _setup_realtime_contest(db, slug="tiebreak-contest", duration=60):
+    question = Question.objects.create(
+        slug=f"{slug}-q",
+        track=Question.Track.STANDARD,
+    )
+    version = QuestionVersion.objects.create(
+        question=question,
+        version=1,
+        prompt="18 + 24",
+        answer="42",
+        explanation="18 + 24 = 42",
+    )
+    contest = Contest.objects.create(
+        slug=slug,
+        title="同分决胜测试赛",
+        kind=Contest.Kind.REALTIME,
+        track=Question.Track.STANDARD,
+        status=Contest.Status.PUBLISHED,
+        duration_seconds=duration,
+    )
+    ContestQuestion.objects.create(
+        contest=contest,
+        question_version=version,
+        order=1,
+        points=100,
+    )
+    return contest
+
+
+def _create_user(username, nickname):
+    return User.objects.create_user(
+        username=username,
+        password="StrongPass_2026",
+        nickname=nickname,
+    )
+
+
+def _client(user):
+    c = Client()
+    c.force_login(user)
+    return c
+
+
+def _create_and_join(first_client, second_client, contest):
+    created = first_client.post(
+        f"/api/v1/contests/{contest.slug}/challenges/",
+        {},
+        content_type="application/json",
+    )
+    assert created.status_code == 201
+    code = created.json()["challenge_code"]
+
+    joined = second_client.post(
+        "/api/v1/contests/challenges/join/",
+        {"challenge_code": code},
+        content_type="application/json",
+    )
+    assert joined.status_code == 200
+    assert joined.json()["status"] == "active"
+    match_id = joined.json()["match_id"]
+
+    first_state = first_client.get(f"/api/v1/contests/matches/{match_id}/").json()
+    second_state = second_client.get(f"/api/v1/contests/matches/{match_id}/").json()
+    return match_id, first_state, second_state
+
+
+def _set_start(match, user, seconds_ago):
+    """统一设置 match 和 attempt 的 started_at。"""
+    t = timezone.now() - timedelta(seconds=seconds_ago)
+    match.started_at = t
+    match.save(update_fields=["started_at"])
+    match.attempts.filter(user=user).update(started_at=t)
+
+
+def _submit(client, attempt_id, answer, key):
+    return client.post(
+        f"/api/v1/contests/attempts/{attempt_id}/submit/",
+        {"answers": [{"order": 1, "answer": answer}]},
+        content_type="application/json",
+        HTTP_IDEMPOTENCY_KEY=key,
+    )
+
+
+@pytest.mark.django_db
+def test_同分但一方更快则快者胜(db):
+    """两人答对同一题，但提交时间不同，用时短者获胜。"""
+    contest = _setup_realtime_contest(db, "tiebreak-fast")
+    first = _create_user("tie_p1", "快方")
+    second = _create_user("tie_p2", "慢方")
+    fc, sc = _client(first), _client(second)
+
+    match_id, fs, ss = _create_and_join(fc, sc, contest)
+    fa, sa = fs["attempt"]["attempt_id"], ss["attempt"]["attempt_id"]
+
+    match = RealtimeMatch.objects.get(id=match_id)
+    _set_start(match, first, 5)
+    r1 = _submit(fc, fa, "42", "tie-fast-one")
+    assert r1.status_code == 200
+
+    _set_start(match, second, 15)
+    r2 = _submit(sc, sa, "42", "tie-fast-two")
+    assert r2.status_code == 200
+
+    final = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final["status"] == "completed"
+    assert final["result"]["winner"] == "self"
+    assert final["attempt"]["score"] == 100
+    assert final["opponent"]["score"] == 100
+    assert final["attempt"]["duration_ms"] < final["opponent"]["duration_ms"]
+
+
+@pytest.mark.django_db
+def test_同分且同时长则平局(db):
+    """两人答对同一题且用时完全相同，判平局。"""
+    contest = _setup_realtime_contest(db, "tiebreak-draw")
+    first = _create_user("draw_p1", "甲")
+    second = _create_user("draw_p2", "乙")
+    fc, sc = _client(first), _client(second)
+
+    match_id, fs, ss = _create_and_join(fc, sc, contest)
+    fa, sa = fs["attempt"]["attempt_id"], ss["attempt"]["attempt_id"]
+
+    match = RealtimeMatch.objects.get(id=match_id)
+    _set_start(match, first, 5)
+    _submit(fc, fa, "42", "draw-one")
+
+    _set_start(match, second, 5)
+    _submit(sc, sa, "42", "draw-two")
+
+    final = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final["status"] == "completed"
+    assert final["result"]["winner"] == "draw"
+
+
+@pytest.mark.django_db
+def test_一方答对一方答错则答对者胜(db):
+    """一人答对一人答错，答对者胜（不受时间影响）。"""
+    contest = _setup_realtime_contest(db, "tiebreak-correct")
+    first = _create_user("corr_p1", "答对方")
+    second = _create_user("corr_p2", "答错方")
+    fc, sc = _client(first), _client(second)
+
+    match_id, fs, ss = _create_and_join(fc, sc, contest)
+    fa, sa = fs["attempt"]["attempt_id"], ss["attempt"]["attempt_id"]
+
+    match = RealtimeMatch.objects.get(id=match_id)
+    _set_start(match, first, 3)
+    _submit(fc, fa, "42", "corr-one")
+
+    _set_start(match, second, 10)
+    _submit(sc, sa, "0", "corr-two")
+
+    final = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final["status"] == "completed"
+    assert final["result"]["winner"] == "self"
+    assert final["attempt"]["score"] == 100
+    assert final["opponent"]["score"] == 0
+
+
+@pytest.mark.django_db
+def test_双方都答错则快者胜(db):
+    """两人都答错，分数相同（0 分），比较用时，快者胜。"""
+    contest = _setup_realtime_contest(db, "tiebreak-both-wrong")
+    first = _create_user("wrong_p1", "快错")
+    second = _create_user("wrong_p2", "慢错")
+    fc, sc = _client(first), _client(second)
+
+    match_id, fs, ss = _create_and_join(fc, sc, contest)
+    fa, sa = fs["attempt"]["attempt_id"], ss["attempt"]["attempt_id"]
+
+    match = RealtimeMatch.objects.get(id=match_id)
+    _set_start(match, first, 5)
+    _submit(fc, fa, "0", "wrong-one")
+
+    _set_start(match, second, 12)
+    _submit(sc, sa, "0", "wrong-two")
+
+    final = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final["status"] == "completed"
+    assert final["result"]["winner"] == "self"
+    assert final["attempt"]["score"] == 0
+    assert final["opponent"]["score"] == 0
+
+
+@pytest.mark.django_db
+def test_超时提交导致分数为零_同分时比较用时(db):
+    """一方超时提交（分数为 0），另一方正常提交也得 0 分，同分快者胜。"""
+    contest = _setup_realtime_contest(db, "tiebreak-timeout", duration=10)
+    first = _create_user("to_p1", "超时方")
+    second = _create_user("to_p2", "正常零分方")
+    fc, sc = _client(first), _client(second)
+
+    match_id, fs, ss = _create_and_join(fc, sc, contest)
+    fa, sa = fs["attempt"]["attempt_id"], ss["attempt"]["attempt_id"]
+
+    match = RealtimeMatch.objects.get(id=match_id)
+    _set_start(match, first, 20)
+    r1 = _submit(fc, fa, "42", "to-one")
+    assert r1.status_code == 200
+    assert r1.json()["attempt"]["status"] == "expired"
+
+    _set_start(match, second, 3)
+    _submit(sc, sa, "0", "to-two")
+
+    final = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final["status"] == "completed"
+    assert final["attempt"]["score"] == 0
+    assert final["opponent"]["score"] == 0
+    assert final["result"]["winner"] == "opponent"
+
+
+@pytest.mark.django_db
+def test_随机匹配同分快者胜(db):
+    """通过随机匹配（非联机码）也能正确触发同分快者胜。"""
+    contest = _setup_realtime_contest(db, "tiebreak-random")
+    first = _create_user("rnd_p1", "随机快")
+    second = _create_user("rnd_p2", "随机慢")
+    fc, sc = _client(first), _client(second)
+
+    r1 = fc.post(
+        f"/api/v1/contests/{contest.slug}/matchmaking/",
+        {},
+        content_type="application/json",
+    )
+    r2 = sc.post(
+        f"/api/v1/contests/{contest.slug}/matchmaking/",
+        {},
+        content_type="application/json",
+    )
+    assert r1.json()["status"] == "active" or r2.json()["status"] == "active"
+
+    match_id = r1.json().get("match_id") or r2.json()["match_id"]
+    fs = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    ss = sc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    fa, sa = fs["attempt"]["attempt_id"], ss["attempt"]["attempt_id"]
+
+    match = RealtimeMatch.objects.get(id=match_id)
+    _set_start(match, first, 4)
+    _submit(fc, fa, "42", "rnd-one")
+
+    _set_start(match, second, 8)
+    _submit(sc, sa, "42", "rnd-two")
+
+    final = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final["status"] == "completed"
+    assert final["result"]["winner"] == "self"
+    assert final["attempt"]["score"] == 100
+    assert final["opponent"]["score"] == 100
+
+
+@pytest.mark.django_db
+def test_rating_变化在同分快者胜时正确(db):
+    """同分快者胜时，Elo rating 按正常胜负变化（不平局）。"""
+    contest = _setup_realtime_contest(db, "tiebreak-rating")
+    first = _create_user("rate_p1", "Rating快")
+    second = _create_user("rate_p2", "Rating慢")
+    fc, sc = _client(first), _client(second)
+
+    match_id, fs, ss = _create_and_join(fc, sc, contest)
+    fa, sa = fs["attempt"]["attempt_id"], ss["attempt"]["attempt_id"]
+
+    match = RealtimeMatch.objects.get(id=match_id)
+    _set_start(match, first, 5)
+    _submit(fc, fa, "42", "rate-one")
+
+    _set_start(match, second, 12)
+    _submit(sc, sa, "42", "rate-two")
+
+    first.refresh_from_db()
+    second.refresh_from_db()
+    assert first.rating > 1000
+    assert second.rating < 1000
+
+
+@pytest.mark.django_db
+def test_双方都超时则由_refresh_自动结算判平(db):
+    """双方都超时（分数都为 0），refresh_match_state 自动结算，duration 统一为时限，判平。"""
+    contest = _setup_realtime_contest(db, "tiebreak-both-timeout", duration=10)
+    first = _create_user("both_to_p1", "快超时")
+    second = _create_user("both_to_p2", "慢超时")
+    fc, sc = _client(first), _client(second)
+
+    match_id, _, _ = _create_and_join(fc, sc, contest)
+
+    # 两个人都不提交，直接让 match 超时
+    match = RealtimeMatch.objects.get(id=match_id)
+    match.started_at = timezone.now() - timedelta(seconds=15)
+    match.save(update_fields=["started_at"])
+    match.attempts.update(started_at=match.started_at)
+
+    from contest.services import refresh_match_state
+    refresh_match_state(match.id)
+
+    final = fc.get(f"/api/v1/contests/matches/{match_id}/").json()
+    assert final["status"] == "completed"
+    assert final["attempt"]["score"] == 0
+    assert final["opponent"]["score"] == 0
+    # 双方都超时，duration_ms 相同（都约 15000ms），判平
+    assert final["result"]["winner"] == "draw"

backend/contest/urls.py

@@ -3,8 +3,11 @@ from django.urls import path
 from .views import (
     AttemptStartView,
     AttemptSubmitView,
+    ChallengeCreateView,
+    ChallengeJoinView,
     ContestListView,
     LeaderboardView,
+    MatchCancelView,
     MatchmakingView,
     MatchStateView,
     MathGameCatalogView,
@@ -16,11 +19,18 @@ from .views import (
 
 urlpatterns = [
     path("", ContestListView.as_view(), name="contest-list"),
+    path("challenges/join/", ChallengeJoinView.as_view(), name="challenge-join"),
+    path("matches/<uuid:match_id>/", MatchStateView.as_view(), name="match-state"),
+    path("matches/<uuid:match_id>/cancel/", MatchCancelView.as_view(), name="match-cancel"),
     path("<slug:slug>/start/", AttemptStartView.as_view(), name="attempt-start"),
     path("<slug:slug>/matchmaking/", MatchmakingView.as_view(), name="matchmaking"),
+    path(
+        "<slug:slug>/challenges/",
+        ChallengeCreateView.as_view(),
+        name="challenge-create",
+    ),
     path("<slug:slug>/leaderboard/", LeaderboardView.as_view(), name="leaderboard"),
     path("attempts/<uuid:attempt_id>/submit/", AttemptSubmitView.as_view(), name="attempt-submit"),
-    path("matches/<uuid:match_id>/", MatchStateView.as_view(), name="match-state"),
     path("games/", MathGameCatalogView.as_view(), name="math-game-catalog"),
     path("games/history/", MathGameHistoryView.as_view(), name="math-game-history"),
     path("games/<str:kind>/start/", MathGameStartView.as_view(), name="math-game-start"),

backend/contest/views.py

@@ -6,8 +6,14 @@ from rest_framework.views import APIView
 from .game_services import game_payload, request_sudoku_hint, start_game, submit_game
 from .models import Contest, ContestAttempt, MathGameAttempt, RealtimeMatch
 from .services import (
+    cancel_waiting_match,
+    create_challenge,
+    finalize_game_match,
     find_match,
+    join_challenge,
     match_payload,
+    notify_match_on_commit,
+    refresh_match_state,
     start_attempt,
     submit_attempt,
 )
@@ -44,31 +50,63 @@ class AttemptStartView(APIView):
 
 class AttemptSubmitView(APIView):
     def post(self, request, attempt_id):
-        get_object_or_404(ContestAttempt, id=attempt_id, user=request.user)
+        attempt = get_object_or_404(ContestAttempt, id=attempt_id, user=request.user)
         payload = submit_attempt(
             user=request.user,
             attempt_id=attempt_id,
             raw_answers=request.data.get("answers", []),
             submission_key=request.headers.get("Idempotency-Key"),
         )
+        if attempt.match_id:
+            match = refresh_match_state(attempt.match_id)
+            return Response(match_payload(match, request.user))
         return Response(payload)
 
 
 class MatchmakingView(APIView):
     def post(self, request, slug):
         contest = get_object_or_404(Contest, slug=slug)
-        match = find_match(request.user, contest)
+        match = find_match(
+            request.user,
+            contest,
+            request.data.get("game_kind", RealtimeMatch.GameKind.QUIZ),
+        )
         return Response(match_payload(match, request.user), status=status.HTTP_202_ACCEPTED)
 
 
 class MatchStateView(APIView):
     def get(self, request, match_id):
-        match = get_object_or_404(
+        existing = get_object_or_404(
             RealtimeMatch.objects.select_related("player_one", "player_two"),
             id=match_id,
         )
-        if request.user.id not in (match.player_one_id, match.player_two_id):
+        if request.user.id not in (existing.player_one_id, existing.player_two_id):
             return Response(status=status.HTTP_403_FORBIDDEN)
+        match = refresh_match_state(match_id)
+        return Response(match_payload(match, request.user))
+
+
+class ChallengeCreateView(APIView):
+    def post(self, request, slug):
+        contest = get_object_or_404(Contest, slug=slug)
+        match = create_challenge(
+            request.user,
+            contest,
+            request.data.get("game_kind", RealtimeMatch.GameKind.QUIZ),
+        )
+        return Response(match_payload(match, request.user), status=status.HTTP_201_CREATED)
+
+
+class ChallengeJoinView(APIView):
+    def post(self, request):
+        match = join_challenge(request.user, request.data.get("challenge_code"))
+        return Response(match_payload(match, request.user))
+
+
+class MatchCancelView(APIView):
+    def post(self, request, match_id):
+        get_object_or_404(RealtimeMatch, id=match_id)
+        match = cancel_waiting_match(request.user, match_id)
         return Response(match_payload(match, request.user))
 
 
@@ -130,19 +168,29 @@ class MathGameStartView(APIView):
         payload = start_game(
             request.user,
             kind,
-            request.data.get("difficulty", MathGameAttempt.Difficulty.STANDARD),
+            MathGameAttempt.Difficulty.STANDARD,
         )
         return Response(payload, status=status.HTTP_201_CREATED)
 
 
 class MathGameSubmitView(APIView):
     def post(self, request, attempt_id):
+        attempt = get_object_or_404(
+            MathGameAttempt,
+            id=attempt_id,
+            user=request.user,
+        )
         payload = submit_game(
             request.user,
             attempt_id,
             request.data,
             request.headers.get("Idempotency-Key"),
         )
+        if attempt.match_id:
+            match = finalize_game_match(attempt.match_id)
+            if match.status != RealtimeMatch.Status.COMPLETED:
+                notify_match_on_commit(match.id, "submitted")
+            return Response(match_payload(match, request.user))
         return Response(payload)
 
 

backend/math_life/admin.py

@@ -9,6 +9,7 @@ from .models import (
     SkillPackage,
     Story,
     StoryChoice,
+    StoryMark,
     StoryRun,
     StoryVersion,
     UserRelationship,
@@ -52,5 +53,6 @@ admin.site.register(MathBTIAssessment)
 admin.site.register(MathBTIResult)
 admin.site.register(Character)
 admin.site.register(StoryChoice)
+admin.site.register(StoryMark)
 admin.site.register(UserRelationship)
 admin.site.register(SkillPackage)

backend/math_life/management/commands/seed_initial_content.py

@@ -16,6 +16,7 @@ from math_life.models import (
     StoryVersion,
 )
 from math_life.services import validate_story_content
+from math_life.story_v12 import V12_IDENTITY_SCORES, build_v12_story
 
 DISCIPLINE_ICONS = {
     "人工智能": "🤖",
@@ -134,7 +135,7 @@ class Command(BaseCommand):
     def handle(self, *args, **options):
         docs = Path(settings.PROJECT_ROOT) / "docs"
         mathbti_path = docs / "old_scripts" / "seed_mathbti.json"
-        story_path = docs / "数学少年线_story.json"
+        story_path = docs / "信仰者线_story.json"
         videos_path = docs / "old_scripts" / "seed_videos.json"
         if not mathbti_path.exists() or not story_path.exists() or not videos_path.exists():
             raise CommandError("缺少 docs 中的初始内容文件")
@@ -157,17 +158,20 @@ class Command(BaseCommand):
                     "clan": result["clan_name"],
                     "mathematician": result["mathematician"],
                     "description": result["description"],
-                    "initial_abilities": result.get("stats5", {}),
+                    "initial_abilities": V12_IDENTITY_SCORES.get(
+                        code,
+                        result.get("stats5", {}),
+                    ),
                     "portrait": result.get("portrait", ""),
                 },
             )
 
-        story_document = load_json(story_path)
+        story_document = build_v12_story(load_json(story_path))
         errors = validate_story_content(story_document)
         if errors:
             raise CommandError("; ".join(errors))
         flagship, _ = Story.objects.update_or_create(
-            slug="believer-math-teen",
+            slug="believer",
             defaults={
                 "title": story_document["title"],
                 "summary": story_document.get("description", ""),
@@ -176,9 +180,12 @@ class Command(BaseCommand):
                 "is_visible": True,
             },
         )
+        StoryVersion.objects.filter(story=flagship).exclude(version=2).update(
+            is_published=False
+        )
         StoryVersion.objects.update_or_create(
             story=flagship,
-            version=1,
+            version=2,
             defaults={
                 "content": story_document,
                 "is_published": True,

backend/math_life/migrations/0002_storymark_storymark_unique_user_story_mark.py

@@ -0,0 +1,36 @@
+# Generated by Django 4.2.23 on 2026-08-09 16:51
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        migrations.swappable_dependency(settings.AUTH_USER_MODEL),
+        ('math_life', '0001_initial'),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='StoryMark',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('code', models.CharField(max_length=60)),
+                ('name', models.CharField(max_length=80)),
+                ('domain', models.CharField(max_length=40)),
+                ('acquired_at', models.DateTimeField(auto_now_add=True)),
+                ('source_run', models.ForeignKey(blank=True, null=True, on_delete=django.db.models.deletion.SET_NULL, related_name='acquired_marks', to='math_life.storyrun')),
+                ('story', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='collected_marks', to='math_life.story')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='story_marks', to=settings.AUTH_USER_MODEL)),
+            ],
+            options={
+                'ordering': ['acquired_at'],
+            },
+        ),
+        migrations.AddConstraint(
+            model_name='storymark',
+            constraint=models.UniqueConstraint(fields=('user', 'story', 'code'), name='unique_user_story_mark'),
+        ),
+    ]

backend/math_life/migrations/0003_publish_marks_story_v2.py

@@ -0,0 +1,69 @@
+from django.db import migrations
+from django.utils import timezone
+
+from math_life.story_v12 import V12_IDENTITY_SCORES, build_v12_story
+
+
+def publish_marks_story(apps, schema_editor):
+    MathIdentity = apps.get_model("math_life", "MathIdentity")
+    Story = apps.get_model("math_life", "Story")
+    StoryRun = apps.get_model("math_life", "StoryRun")
+    StoryVersion = apps.get_model("math_life", "StoryVersion")
+
+    for code, scores in V12_IDENTITY_SCORES.items():
+        MathIdentity.objects.filter(code=code).update(initial_abilities=scores)
+
+    story = Story.objects.filter(slug="believer").first()
+    if story is None:
+        story = Story.objects.filter(slug="believer-math-teen").first()
+    if story is None:
+        return
+    if story.slug != "believer":
+        story.slug = "believer"
+        story.save(update_fields=["slug"])
+    source = (
+        StoryVersion.objects.filter(story=story)
+        .order_by("-version")
+        .values_list("content", flat=True)
+        .first()
+    )
+    if not source:
+        return
+    document = (
+        source
+        if source.get("system_version") == "marks-v1"
+        else build_v12_story(source)
+    )
+    old_version_ids = list(
+        StoryVersion.objects.filter(story=story)
+        .exclude(version=2)
+        .values_list("id", flat=True)
+    )
+    if old_version_ids:
+        StoryRun.objects.filter(
+            story_version_id__in=old_version_ids,
+            status="active",
+        ).update(status="abandoned")
+    StoryVersion.objects.filter(story=story).update(is_published=False)
+    StoryVersion.objects.update_or_create(
+        story=story,
+        version=2,
+        defaults={
+            "content": document,
+            "is_published": True,
+            "published_at": timezone.now(),
+        },
+    )
+
+
+class Migration(migrations.Migration):
+    dependencies = [
+        ("math_life", "0002_storymark_storymark_unique_user_story_mark"),
+    ]
+
+    operations = [
+        migrations.RunPython(
+            publish_marks_story,
+            migrations.RunPython.noop,
+        ),
+    ]

backend/math_life/models.py

@@ -127,6 +127,42 @@ class StoryChoice(models.Model):
         ordering = ["sequence"]
 
 
+class StoryMark(models.Model):
+    user = models.ForeignKey(
+        settings.AUTH_USER_MODEL,
+        on_delete=models.CASCADE,
+        related_name="story_marks",
+    )
+    story = models.ForeignKey(
+        Story,
+        on_delete=models.CASCADE,
+        related_name="collected_marks",
+    )
+    source_run = models.ForeignKey(
+        StoryRun,
+        null=True,
+        blank=True,
+        on_delete=models.SET_NULL,
+        related_name="acquired_marks",
+    )
+    code = models.CharField(max_length=60)
+    name = models.CharField(max_length=80)
+    domain = models.CharField(max_length=40)
+    acquired_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(
+                fields=("user", "story", "code"),
+                name="unique_user_story_mark",
+            )
+        ]
+        ordering = ["acquired_at"]
+
+    def __str__(self):
+        return f"{self.user} · {self.name}"
+
+
 class UserRelationship(models.Model):
     user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE)
     character = models.ForeignKey(Character, on_delete=models.CASCADE)

backend/math_life/services.py

@@ -4,7 +4,7 @@ from django.db import transaction
 from django.utils import timezone
 from rest_framework.exceptions import ValidationError
 
-from .models import StoryChoice, StoryRun, StoryVersion
+from .models import StoryChoice, StoryMark, StoryRun, StoryVersion
 
 
 def score_mathbti(definition, answer_indexes):
@@ -40,6 +40,11 @@ def validate_story_content(content):
         errors.append("start_node 不存在")
 
     referenced = set()
+    mark_codes = {
+        item.get("code")
+        for item in content.get("mark_definitions", [])
+        if isinstance(item, dict)
+    }
     for node_id, node in nodes.items():
         if not isinstance(node.get("choices", []), list):
             errors.append(f"{node_id}.choices 必须是数组")
@@ -52,6 +57,16 @@ def validate_story_content(content):
                 errors.append(f"{node_id} 引用了不存在的节点 {target}")
             else:
                 referenced.add(target)
+            required = choice.get("requires_marks", [])
+            if not isinstance(required, list) or any(
+                code not in mark_codes for code in required
+            ):
+                errors.append(f"{node_id} 的印记条件无效")
+            effects = choice.get("effects", {})
+            if content.get("system_version") == "marks-v1" and any(
+                key not in {"marks", "easter_eggs"} for key in effects
+            ):
+                errors.append(f"{node_id} 仍包含旧数值效果")
 
     if start in nodes:
         reachable = set()
@@ -66,6 +81,9 @@ def validate_story_content(content):
                 for choice in nodes[node_id].get("choices", [])
                 if choice.get("next") in nodes
             )
+            ending_rules = content.get("ending_rules", {})
+            if node_id == ending_rules.get("trigger_node"):
+                pending.extend(ending_rules.get("domains", {}).values())
         unreachable = sorted(set(nodes) - reachable)
         if unreachable:
             errors.append(f"存在不可达节点: {', '.join(unreachable[:10])}")
@@ -77,6 +95,9 @@ def _merge_effects(state, effects):
     for key, value in effects.items():
         if isinstance(value, dict):
             result[key] = _merge_effects(result.get(key, {}), value)
+        elif isinstance(value, list):
+            current = result.get(key, [])
+            result[key] = list(dict.fromkeys([*current, *value]))
         elif isinstance(value, (int, float)):
             result[key] = result.get(key, 0) + value
         else:
@@ -84,12 +105,67 @@ def _merge_effects(state, effects):
     return result
 
 
-def _node_payload(run):
+def _mark_lookup(content):
-    node = run.story_version.content["nodes"][run.current_node]
+    return {
-    choices = [
+        item["code"]: item
-        {"index": index, "text": choice.get("text", "")}
+        for item in content.get("mark_definitions", [])
-        for index, choice in enumerate(node.get("choices", []))
+        if isinstance(item, dict) and item.get("code")
+    }
+
+
+def _refresh_mark_counts(state, content):
+    result = deepcopy(state)
+    lookup = _mark_lookup(content)
+    counts = {
+        domain: 0 for domain in content.get("domain_labels", {})
+    }
+    for code in result.get("marks", []):
+        mark = lookup.get(code)
+        if mark:
+            counts[mark["domain"]] = counts.get(mark["domain"], 0) + 1
+    result["mark_counts"] = counts
+    return result
+
+
+def _available_choices(run, node):
+    marks = set(run.state.get("marks", []))
+    return [
+        choice
+        for choice in node.get("choices", [])
+        if set(choice.get("requires_marks", [])).issubset(marks)
     ]
+
+
+def _resolve_ending(content, state, node_id):
+    rules = content.get("ending_rules", {})
+    if node_id != rules.get("trigger_node"):
+        return node_id
+    counts = state.get("mark_counts", {})
+    order = rules.get("tie_order", [])
+    domain = max(order, key=lambda item: counts.get(item, 0))
+    return rules.get("domains", {}).get(domain, node_id)
+
+
+def _node_payload(run):
+    content = run.story_version.content
+    node = content["nodes"][run.current_node]
+    available_choices = _available_choices(run, node)
+    choices = [
+        {
+            "index": index,
+            "text": choice.get("text", ""),
+            "special": bool(choice.get("requires_marks")),
+        }
+        for index, choice in enumerate(available_choices)
+    ]
+    chapter_code = node.get("chapter") or run.current_node.split("_", 1)[0]
+    chapter = content.get("chapters", {}).get(chapter_code, {})
+    collection = list(
+        StoryMark.objects.filter(
+            user=run.user,
+            story=run.story_version.story,
+        ).values("code", "name", "domain", "acquired_at")
+    )
     return {
         "run_id": run.id,
         "story": run.story_version.story.title,
@@ -97,6 +173,10 @@ def _node_payload(run):
         "status": run.status,
         "current_node": run.current_node,
         "state": run.state,
+        "chapter": chapter,
+        "mark_definitions": content.get("mark_definitions", []),
+        "domain_labels": content.get("domain_labels", {}),
+        "collection": collection,
         "node": {
             "scene": node.get("scene", ""),
             "character": node.get("character", ""),
@@ -125,7 +205,11 @@ def start_story(user, story):
         user=user,
         story_version=version,
         current_node=version.content["start_node"],
-        state={},
+        state=(
+            _refresh_mark_counts({"marks": [], "easter_eggs": []}, version.content)
+            if version.content.get("system_version") == "marks-v1"
+            else {}
+        ),
     )
     return _node_payload(run)
 
@@ -151,8 +235,9 @@ def make_choice(*, run_id, user, choice_index, idempotency_key=None):
         raise ValidationError("该人生已经结束")
 
     node_id = run.current_node
-    node = run.story_version.content["nodes"][node_id]
+    content = run.story_version.content
-    choices = node.get("choices", [])
+    node = content["nodes"][node_id]
+    choices = _available_choices(run, node)
     try:
         normalized_index = int(choice_index)
         if normalized_index < 0 or normalized_index >= len(choices):
@@ -173,8 +258,24 @@ def make_choice(*, run_id, user, choice_index, idempotency_key=None):
         effects=effects,
     )
     run.state = _merge_effects(run.state, effects)
-    run.current_node = choice["next"]
+    if content.get("system_version") == "marks-v1":
-    next_node = run.story_version.content["nodes"][run.current_node]
+        run.state = _refresh_mark_counts(run.state, content)
+    mark_lookup = _mark_lookup(content)
+    for mark_code in effects.get("marks", []):
+        mark = mark_lookup.get(mark_code)
+        if mark:
+            StoryMark.objects.get_or_create(
+                user=user,
+                story=run.story_version.story,
+                code=mark_code,
+                defaults={
+                    "source_run": run,
+                    "name": mark["name"],
+                    "domain": mark["domain"],
+                },
+            )
+    run.current_node = _resolve_ending(content, run.state, choice["next"])
+    next_node = content["nodes"][run.current_node]
     if not next_node.get("choices"):
         run.status = StoryRun.Status.COMPLETED
         run.ending_code = run.current_node

backend/math_life/story_v12.py

@@ -0,0 +1,261 @@
+from copy import deepcopy
+
+MARK_DEFINITIONS = [
+    {"code": "prime_margin", "name": "素数页边注", "domain": "number_theory"},
+    {"code": "one_to_hundred", "name": "1到100的两行", "domain": "number_theory"},
+    {
+        "code": "compass_straightedge",
+        "name": "圆规与直尺",
+        "domain": "number_theory",
+    },
+    {
+        "code": "seventeen_gon_night",
+        "name": "正十七边形的夜",
+        "domain": "number_theory",
+    },
+    {
+        "code": "fundamental_arithmetic",
+        "name": "算术基本定理",
+        "domain": "number_theory",
+    },
+    {
+        "code": "skipped_lemma",
+        "name": "跳步的引理",
+        "domain": "algebraic_geometry",
+    },
+    {
+        "code": "shadow_of_sheaf",
+        "name": "层的影子",
+        "domain": "algebraic_geometry",
+    },
+    {
+        "code": "denied_cubic",
+        "name": "被否定的三次",
+        "domain": "algebraic_geometry",
+    },
+    {
+        "code": "fourth_continue",
+        "name": "第四次继续",
+        "domain": "algebraic_geometry",
+    },
+    {
+        "code": "ideal_and_ring",
+        "name": "理想与环",
+        "domain": "algebraic_geometry",
+    },
+    {"code": "late_draft", "name": "深夜的草稿", "domain": "analysis"},
+    {"code": "epsilon_promise", "name": "ε-δ 的承诺", "domain": "analysis"},
+    {"code": "counting_rod", "name": "一根算筹", "domain": "analysis"},
+    {"code": "pi_seventh_digit", "name": "π 的第七位", "domain": "analysis"},
+    {"code": "limit_definition", "name": "极限的定义", "domain": "analysis"},
+    {
+        "code": "first_model",
+        "name": "第一次建模",
+        "domain": "applied_mathematics",
+    },
+    {
+        "code": "cafeteria_queue",
+        "name": "食堂排队模型",
+        "domain": "applied_mathematics",
+    },
+    {
+        "code": "five_constants",
+        "name": "五个常数",
+        "domain": "applied_mathematics",
+    },
+    {
+        "code": "beauty_in_time",
+        "name": "美在时间中",
+        "domain": "applied_mathematics",
+    },
+    {
+        "code": "optimal_solution",
+        "name": "最优解",
+        "domain": "applied_mathematics",
+    },
+]
+
+MARK_PLACEMENTS = {
+    ("c1_notice", 0): ["prime_margin"],
+    ("c1_notice", 1): ["compass_straightedge"],
+    ("c1_gauss_try", 0): ["one_to_hundred"],
+    ("c1_gauss_keep", 0): ["seventeen_gon_night"],
+    ("c5_start", 0): ["fundamental_arithmetic"],
+    ("c3_start", 0): ["skipped_lemma"],
+    ("c3_start", 1): ["skipped_lemma"],
+    ("c3_paper", 0): ["denied_cubic"],
+    ("c3_paper", 1): ["shadow_of_sheaf"],
+    ("c3_denied", 0): ["fourth_continue"],
+    ("c5_start", 1): ["ideal_and_ring"],
+    ("c1_midterm", 1): ["late_draft"],
+    ("c1_analysis", 0): ["epsilon_promise"],
+    ("c1_analysis", 1): ["epsilon_promise"],
+    ("c1_zu_enter", 0): ["counting_rod"],
+    ("c1_zu_enter", 1): ["pi_seventh_digit"],
+    ("c4_start", 0): ["limit_definition"],
+    ("c2_model", 0): ["first_model"],
+    ("c2_model_yes", 0): ["cafeteria_queue"],
+    ("c4_sleep", 0): ["five_constants"],
+    ("c4_boundary", 0): ["beauty_in_time"],
+    ("c4_balance", 0): ["optimal_solution"],
+}
+
+EASTER_EGGS = [
+    {
+        "code": "gauss",
+        "name": "高斯草稿",
+        "trigger": "c1_gauss_merge",
+        "required_marks": ["prime_margin", "one_to_hundred"],
+        "node": "egg_gauss",
+        "return_to": "c1_report",
+        "scene": "你翻回录取通知书旁的页边注。两行数字首尾相加，像一座刚刚亮起的桥。高斯没有给你答案，只把铅笔推回你的手中。",
+    },
+    {
+        "code": "zu_chongzhi",
+        "name": "祖冲之草稿",
+        "trigger": "c1_zu_merge",
+        "required_marks": ["late_draft", "epsilon_promise"],
+        "node": "egg_zu_chongzhi",
+        "return_to": "c1_final",
+        "scene": "深夜草稿上的 ε-δ 与那根算筹叠在一起。精确不是冷冰冰的限制，而是你对下一步作出的承诺。",
+    },
+    {
+        "code": "euler",
+        "name": "欧拉草稿",
+        "trigger": "c2_end",
+        "required_marks": ["first_model", "cafeteria_queue"],
+        "node": "egg_euler",
+        "return_to": "c3_start",
+        "scene": "食堂队伍在草稿上变成变量、约束与目标函数。欧拉在页角写下五个常数：数学的美并不排斥现实，它能让现实获得结构。",
+    },
+    {
+        "code": "noether",
+        "name": "诺特草稿",
+        "trigger": "c3_cited",
+        "required_marks": ["skipped_lemma", "shadow_of_sheaf"],
+        "node": "egg_noether",
+        "return_to": "c4_start",
+        "scene": "你重新看见那个被跳过的引理，结构的影子从局部延伸到整体。诺特说：真正重要的不是补上一步，而是知道这一步为何必须存在。",
+    },
+]
+
+ENDING_RULES = {
+    "trigger_node": "c8_phd",
+    "tie_order": [
+        "number_theory",
+        "algebraic_geometry",
+        "analysis",
+        "applied_mathematics",
+    ],
+    "domains": {
+        "number_theory": "ending_number_theory",
+        "algebraic_geometry": "ending_algebraic_geometry",
+        "analysis": "ending_analysis",
+        "applied_mathematics": "ending_applied_mathematics",
+    },
+}
+
+ENDING_NODES = {
+    "ending_number_theory": {
+        "character": "导师",
+        "scene": "你获得统一直博资格，方向选择数论。录取材料最上方，是你一路留下的素数页边注与算术结构。你没有成为第二个高斯，你开始提出自己的问题。",
+        "choices": [],
+    },
+    "ending_algebraic_geometry": {
+        "character": "导师",
+        "scene": "你获得统一直博资格，方向选择代数几何。讨论班里被跳过的引理，最终变成你研究理想、环与几何结构的入口。",
+        "choices": [],
+    },
+    "ending_analysis": {
+        "character": "导师",
+        "scene": "你获得统一直博资格，方向选择分析。深夜草稿、ε-δ 的承诺和极限定义，成为你继续逼近未知的方式。",
+        "choices": [],
+    },
+    "ending_applied_mathematics": {
+        "character": "导师",
+        "scene": "你获得统一直博资格，方向选择应用数学。从食堂排队到最优解，你决定继续研究数学如何在现实中承担责任。",
+        "choices": [],
+    },
+}
+
+DOMAIN_LABELS = {
+    "number_theory": "数论",
+    "algebraic_geometry": "代数几何",
+    "analysis": "分析",
+    "applied_mathematics": "应用数学",
+}
+
+V12_IDENTITY_SCORES = {
+    "0000": {"眼光": 88, "人文": 95, "侦探": 84, "建模": 78, "联结": 87},
+    "0001": {"眼光": 98, "人文": 88, "侦探": 94, "建模": 91, "联结": 99},
+    "0010": {"眼光": 90, "人文": 86, "侦探": 92, "建模": 88, "联结": 84},
+    "0011": {"眼光": 89, "人文": 94, "侦探": 94, "建模": 99, "联结": 92},
+    "0100": {"眼光": 91, "人文": 86, "侦探": 96, "建模": 98, "联结": 90},
+    "0101": {"眼光": 99, "人文": 86, "侦探": 96, "建模": 100, "联结": 100},
+    "0110": {"眼光": 99, "人文": 82, "侦探": 98, "建模": 99, "联结": 100},
+    "0111": {"眼光": 98, "人文": 92, "侦探": 99, "建模": 100, "联结": 99},
+    "1000": {"眼光": 100, "人文": 80, "侦探": 100, "建模": 99, "联结": 99},
+    "1001": {"眼光": 99, "人文": 91, "侦探": 98, "建模": 98, "联结": 100},
+    "1010": {"眼光": 93, "人文": 88, "侦探": 96, "建模": 99, "联结": 91},
+    "1011": {"眼光": 100, "人文": 94, "侦探": 99, "建模": 82, "联结": 100},
+    "1100": {"眼光": 90, "人文": 96, "侦探": 84, "建模": 93, "联结": 98},
+    "1101": {"眼光": 98, "人文": 91, "侦探": 100, "建模": 76, "联结": 99},
+    "1110": {"眼光": 96, "人文": 98, "侦探": 98, "建模": 99, "联结": 95},
+    "1111": {"眼光": 98, "人文": 95, "侦探": 90, "建模": 94, "联结": 100},
+}
+
+
+def build_v12_story(source):
+    document = deepcopy(source)
+    document["title"] = "信仰者人生：从小镇到直博"
+    document["description"] = "用印记记录每一次数学抉择，在四个研究方向中找到自己的长期问题。"
+    document["system_version"] = "marks-v1"
+    document["mark_definitions"] = MARK_DEFINITIONS
+    document["domain_labels"] = DOMAIN_LABELS
+    document["ending_rules"] = ENDING_RULES
+    document["chapters"] = {
+        f"c{index}": {"number": index, "title": title}
+        for index, title in enumerate(
+            [
+                "没有竞赛奖状的夏天",
+                "第一次完整证明",
+                "被跳过的引理",
+                "数学之外的时间",
+                "选择一个长期问题",
+                "机器到来之后",
+                "把自己的问题写出来",
+                "统一直博的第一页",
+            ],
+            start=1,
+        )
+    }
+
+    for node in document["nodes"].values():
+        for choice in node.get("choices", []):
+            choice["effects"] = {}
+    for (node_id, choice_index), mark_codes in MARK_PLACEMENTS.items():
+        choice = document["nodes"][node_id]["choices"][choice_index]
+        choice["effects"] = {"marks": mark_codes}
+
+    for egg in EASTER_EGGS:
+        document["nodes"][egg["trigger"]]["choices"].append(
+            {
+                "text": "✦ 你忽然想起那页草稿……",
+                "next": egg["node"],
+                "requires_marks": egg["required_marks"],
+                "effects": {"easter_eggs": [egg["code"]]},
+            }
+        )
+        document["nodes"][egg["node"]] = {
+            "character": egg["name"],
+            "scene": egg["scene"],
+            "choices": [
+                {
+                    "text": "把这一页收进数学档案",
+                    "next": egg["return_to"],
+                    "effects": {},
+                }
+            ],
+        }
+    document["nodes"].update(ENDING_NODES)
+    return document

backend/math_life/test_services.py

@@ -1,14 +1,28 @@
 import pytest
+from django.conf import settings
 from rest_framework.exceptions import ValidationError
 
 from accounts.models import User
-from math_life.models import Story, StoryChoice, StoryRun, StoryVersion
+from math_life.models import (
+    Story,
+    StoryChoice,
+    StoryMark,
+    StoryRun,
+    StoryVersion,
+)
 from math_life.services import (
+    get_run_payload,
     make_choice,
     score_mathbti,
     start_story,
     validate_story_content,
 )
+from math_life.story_v12 import (
+    EASTER_EGGS,
+    MARK_DEFINITIONS,
+    V12_IDENTITY_SCORES,
+    build_v12_story,
+)
 
 
 @pytest.fixture
@@ -142,3 +156,111 @@ def test_make_choice_负数索引必须拒绝且存档不变(story_setup):
     run = StoryRun.objects.get(id=started["run_id"])
     assert run.current_node == "start"
     assert StoryChoice.objects.count() == 0
+
+
+def v12_story_document():
+    import json
+
+    path = settings.PROJECT_ROOT / "docs" / "信仰者线_story.json"
+    return build_v12_story(json.loads(path.read_text(encoding="utf-8")))
+
+
+def test_v12_story_包含20印记且完全移除旧数值体系():
+    document = v12_story_document()
+    acquired = {
+        code
+        for node in document["nodes"].values()
+        for choice in node.get("choices", [])
+        for code in choice.get("effects", {}).get("marks", [])
+    }
+    effect_keys = {
+        key
+        for node in document["nodes"].values()
+        for choice in node.get("choices", [])
+        for key in choice.get("effects", {})
+    }
+
+    assert len(MARK_DEFINITIONS) == 20
+    assert acquired == {item["code"] for item in MARK_DEFINITIONS}
+    assert not {"xinzhi", "shuli", "xiayi"} & effect_keys
+    assert validate_story_content(document) == []
+
+
+def test_v12_数学家五维评分均有高分且不使用过低分():
+    assert len(V12_IDENTITY_SCORES) == 16
+    for scores in V12_IDENTITY_SCORES.values():
+        assert set(scores) == {"眼光", "人文", "侦探", "建模", "联结"}
+        assert min(scores.values()) >= 75
+        assert max(scores.values()) >= 90
+
+
+@pytest.mark.django_db
+def test_v12_story_印记永久收集_彩蛋开放并按领域分发结局():
+    user = User.objects.create_user(
+        username="marks_story_user",
+        password="StrongPass_2026",
+        nickname="印记玩家",
+    )
+    story = Story.objects.create(slug="marks-story", title="印记人生")
+    document = v12_story_document()
+    StoryVersion.objects.create(
+        story=story,
+        version=2,
+        is_published=True,
+        content=document,
+    )
+    started = start_story(user, story)
+    first = make_choice(
+        run_id=started["run_id"],
+        user=user,
+        choice_index=0,
+        idempotency_key="mark-first",
+    )
+
+    assert "prime_margin" in first["state"]["marks"]
+    assert StoryMark.objects.filter(
+        user=user,
+        story=story,
+        code="prime_margin",
+    ).exists()
+
+    run = StoryRun.objects.get(id=started["run_id"])
+    gauss = next(item for item in EASTER_EGGS if item["code"] == "gauss")
+    run.current_node = gauss["trigger"]
+    run.state = {
+        "marks": gauss["required_marks"],
+        "easter_eggs": [],
+        "mark_counts": {
+            "number_theory": 2,
+            "algebraic_geometry": 0,
+            "analysis": 0,
+            "applied_mathematics": 0,
+        },
+    }
+    run.save(update_fields=["current_node", "state"])
+    payload = get_run_payload(run)
+    assert any(choice["special"] for choice in payload["node"]["choices"])
+
+    run.current_node = "c8_noether_merge"
+    run.state = {
+        "marks": ["epsilon_promise", "late_draft", "limit_definition"],
+        "easter_eggs": [],
+        "mark_counts": {
+            "number_theory": 0,
+            "algebraic_geometry": 0,
+            "analysis": 3,
+            "applied_mathematics": 0,
+        },
+    }
+    run.save(update_fields=["current_node", "state"])
+    ending = make_choice(
+        run_id=run.id,
+        user=user,
+        choice_index=0,
+        idempotency_key="analysis-ending",
+    )
+
+    assert ending["status"] == StoryRun.Status.COMPLETED
+    assert ending["current_node"] == "ending_analysis"
+    assert ending["chapter"] == {}
+    assert ending["collection"]

backend/progression/tests.py

@@ -1,2 +1,60 @@
 
-# Create your tests here.
+import pytest
+from django.utils import timezone
+
+from accounts.models import User
+from contest.models import Contest, Question, RatingHistory, RealtimeMatch
+
+
+@pytest.mark.django_db
+def test_profile_返回实时比赛历史及_rating_变化(client):
+    user = User.objects.create_user(
+        username="profile_player",
+        password="StrongPass_2026",
+        nickname="档案玩家",
+        rating=1016,
+    )
+    opponent = User.objects.create_user(
+        username="profile_opponent",
+        password="StrongPass_2026",
+        nickname="对局对手",
+        rating=984,
+    )
+    contest = Contest.objects.create(
+        slug="profile-realtime",
+        title="档案实时赛",
+        kind=Contest.Kind.REALTIME,
+        track=Question.Track.STANDARD,
+        status=Contest.Status.PUBLISHED,
+    )
+    match = RealtimeMatch.objects.create(
+        contest=contest,
+        player_one=user,
+        player_two=opponent,
+        player_one_rating=1000,
+        player_two_rating=1000,
+        winner=user,
+        status=RealtimeMatch.Status.COMPLETED,
+        completed_at=timezone.now(),
+    )
+    RatingHistory.objects.create(
+        user=user,
+        match=match,
+        rating_before=1000,
+        rating_after=1016,
+        delta=16,
+    )
+    client.force_login(user)
+
+    response = client.get("/api/v1/progression/me/")
+
+    assert response.status_code == 200
+    history = response.json()["recent_matches"]
+    assert len(history) == 1
+    assert history[0]["match_id"] == str(match.id)
+    assert history[0]["contest"] == "档案实时赛"
+    assert history[0]["opponent"] == "对局对手"
+    assert history[0]["result"] == "win"
+    assert history[0]["rating_delta"] == 16
+    assert history[0]["rating_after"] == 1016
+    assert history[0]["completed_at"]

backend/progression/views.py

@@ -1,6 +1,9 @@
+from django.db.models import Prefetch, Q
 from rest_framework.response import Response
 from rest_framework.views import APIView
 
+from contest.models import RatingHistory, RealtimeMatch
+
 from .models import UserAbility, UserPet
 
 
@@ -21,6 +24,54 @@ class ProgressionProfileView(APIView):
                     "fragments": ability.fragments,
                 }
             )
+        matches = (
+            RealtimeMatch.objects.filter(
+                Q(player_one=request.user) | Q(player_two=request.user),
+                status=RealtimeMatch.Status.COMPLETED,
+            )
+            .select_related("contest", "player_one", "player_two", "winner")
+            .prefetch_related(
+                Prefetch(
+                    "rating_changes",
+                    queryset=RatingHistory.objects.filter(user=request.user),
+                    to_attr="viewer_rating_changes",
+                )
+            )
+            .order_by("-completed_at")[:10]
+        )
+        recent_matches = []
+        for match in matches:
+            opponent = (
+                match.player_two
+                if match.player_one_id == request.user.id
+                else match.player_one
+            )
+            rating_change = (
+                match.viewer_rating_changes[0]
+                if match.viewer_rating_changes
+                else None
+            )
+            recent_matches.append(
+                {
+                    "match_id": match.id,
+                    "contest": match.contest.title,
+                    "opponent": opponent.nickname if opponent else "未知对手",
+                    "result": (
+                        "draw"
+                        if match.winner_id is None
+                        else "win"
+                        if match.winner_id == request.user.id
+                        else "loss"
+                    ),
+                    "rating_delta": rating_change.delta if rating_change else 0,
+                    "rating_after": (
+                        rating_change.rating_after
+                        if rating_change
+                        else request.user.rating
+                    ),
+                    "completed_at": match.completed_at,
+                }
+            )
         return Response(
             {
                 "pet": {
@@ -52,5 +103,16 @@ class ProgressionProfileView(APIView):
                     }
                     for attempt in request.user.math_game_attempts.all()[:10]
                 ],
+                "recent_matches": recent_matches,
+                "story_marks": [
+                    {
+                        "code": mark.code,
+                        "name": mark.name,
+                        "domain": mark.domain,
+                        "story": mark.story.title,
+                        "acquired_at": mark.acquired_at,
+                    }
+                    for mark in request.user.story_marks.select_related("story")
+                ],
             }
         )

backend/static/css/app.css

@@ -50,6 +50,7 @@ button { color: inherit; }
 .sidebar-foot { margin-top: auto; display: grid; gap: 15px; }
 .system-status { font-size: 11px; color: var(--muted); text-transform: uppercase; letter-spacing: .1em; }
 .system-status i { width: 7px; height: 7px; margin-right: 7px; display: inline-block; border-radius: 50%; background: #5bb67c; box-shadow: 0 0 0 4px rgba(91,182,124,.13); }
+.app-version { color: var(--muted); font-size: 9px; letter-spacing: .1em; }
 .ghost-button, .text-button {
   background: transparent; border: 1px solid var(--line); border-radius: 10px; padding: 11px 14px; cursor: pointer;
 }
@@ -79,6 +80,7 @@ button { color: inherit; }
   content: ""; position: absolute; width: 330px; height: 330px; right: -100px; bottom: -150px;
   border: 55px solid rgba(25,101,72,.09); border-radius: 50%;
 }
+.wechat-entry { display: flex; align-items: center; justify-content: space-between; gap: 28px; margin-top: 18px; padding: 28px 32px; border: 1px solid rgba(25,101,72,.16); border-radius: 20px; background: linear-gradient(120deg, rgba(25,101,72,.08), rgba(204,232,91,.18)); }.wechat-entry h2 { margin: 8px 0; font: 28px Georgia, serif; }.wechat-entry p { margin: 0; color: var(--muted); line-height: 1.7; }.wechat-entry-actions { display: flex; gap: 9px; flex-shrink: 0; }.wechat-entry-actions a { display: inline-flex; align-items: center; text-decoration: none; }
 .kicker { color: var(--green); font-size: 10px; font-weight: 700; letter-spacing: .24em; }
 .hero h1, .page-title h1 { margin: 20px 0 18px; font: 500 clamp(42px, 5vw, 76px)/1.03 Georgia, "Songti SC", serif; letter-spacing: -.04em; }
 .hero h1 em { color: var(--green); font-weight: inherit; }
@@ -132,6 +134,20 @@ button { color: inherit; }
 .track-switch { display: flex; gap: 5px; margin-bottom: 22px; }
 .track-switch button { border: 1px solid var(--line); padding: 9px 18px; border-radius: 99px; background: transparent; cursor: pointer; }
 .track-switch button.active { background: var(--ink); color: white; }
+.match-mode-switch { display: grid; grid-template-columns: repeat(3, 1fr); gap: 10px; margin-bottom: 22px; }
+.match-mode-switch button { border: 1px solid var(--line); border-radius: 14px; padding: 15px 17px; background: rgba(255,255,252,.75); text-align: left; cursor: pointer; }
+.match-mode-switch b, .match-mode-switch small { display: block; }.match-mode-switch small { margin-top: 5px; color: var(--muted); }
+.match-mode-switch button.active { border-color: var(--green); background: var(--ink); color: white; }.match-mode-switch button.active small { color: #b9c2bc; }
+.challenge-panel { display: grid; grid-template-columns: minmax(0, 1fr) minmax(380px, .9fr); gap: 24px; align-items: center; margin-bottom: 22px; padding: 24px 26px; border: 1px solid var(--line); border-radius: 18px; background: linear-gradient(120deg, rgba(25,101,72,.07), rgba(204,232,91,.12)); }.challenge-panel h2 { margin: 7px 0 6px; font: 27px Georgia, serif; }.challenge-panel p { margin: 0; color: var(--muted); font-size: 12px; line-height: 1.7; }.challenge-actions { display: grid; gap: 9px; }.challenge-actions > .primary-button { width: 100%; }.challenge-actions form { display: grid; grid-template-columns: 1fr auto; gap: 8px; }.challenge-actions input { min-width: 0; border: 1px solid var(--line); border-radius: 10px; padding: 12px 14px; background: white; text-transform: uppercase; letter-spacing: .18em; font-weight: 700; }.challenge-actions .dark-button { width: auto; margin: 0; white-space: nowrap; }
+.realtime-status-line { display: flex; justify-content: space-between; gap: 15px; margin: 10px 0 18px; color: var(--muted); font-size: 11px; }.realtime-status-line strong { color: var(--green); }
+.realtime-waiting { display: grid; justify-items: center; gap: 16px; padding: 35px 20px; border-radius: 18px; background: #eef1eb; text-align: center; }.realtime-waiting p { max-width: 480px; margin: 0; color: var(--muted); line-height: 1.7; }.realtime-pulse { width: 18px; height: 18px; border-radius: 50%; background: var(--green); box-shadow: 0 0 0 0 rgba(25,101,72,.35); animation: realtime-pulse 1.5s infinite; }.challenge-code { border: 1px dashed var(--green); border-radius: 14px; padding: 14px 24px; background: white; color: var(--green); font: 700 31px/1 "SFMono-Regular", Consolas, monospace; letter-spacing: .22em; cursor: pointer; }
+@keyframes realtime-pulse { 70% { box-shadow: 0 0 0 15px rgba(25,101,72,0); } 100% { box-shadow: 0 0 0 0 rgba(25,101,72,0); } }
+.realtime-progress-panel { display: grid; grid-template-columns: 1fr 1fr; gap: 10px; margin-bottom: 18px; }.realtime-progress-panel > div { padding: 13px 15px; border-radius: 12px; background: #eef1eb; }.realtime-progress-panel span, .realtime-progress-panel b { display: block; }.realtime-progress-panel span { color: var(--muted); font-size: 10px; }.realtime-progress-panel b { margin-top: 5px; color: var(--green); }
+.realtime-answer-form input { margin-top: 7px; width: 100%; padding: 12px; border: 1px solid #d6d8d1; border-radius: 9px; }.realtime-submitted { margin-top: 20px; padding: 30px; border-radius: 16px; background: var(--ink); color: white; text-align: center; }.realtime-submitted strong { color: var(--lime); font: 27px Georgia, serif; }.realtime-submitted p { margin-bottom: 0; color: #b9c2bc; }
+.realtime-result { margin: 20px 0; padding: 28px; border-radius: 17px; background: var(--ink); color: white; text-align: center; }.realtime-result > strong { color: var(--lime); font: 38px Georgia, serif; }.realtime-result p { color: #c5cec8; }.realtime-result > b { display: inline-block; padding: 6px 10px; border-radius: 99px; background: rgba(204,232,91,.13); color: var(--lime); }.result-opponent > strong { color: #ef947c; }
+.realtime-time-line { margin: 10px 0 6px; font-size: 13px; color: #9ba89d; }
+.realtime-tiebreak { display: block; margin-top: 6px; font-size: 11px; color: var(--lime); font-weight: 700; }
+.realtime-review { display: grid; gap: 9px; }.realtime-review article { padding: 15px; border: 1px solid var(--line); border-left: 4px solid var(--green); border-radius: 11px; background: white; }.realtime-review article.incorrect { border-left-color: #c05245; }.realtime-review p { margin: 7px 0; color: #3e4942; }.realtime-review small { color: var(--muted); }
 .math-games-section { margin-top: 60px; }
 .game-card-grid { display: grid; grid-template-columns: repeat(2, minmax(0, 1fr)); gap: 16px; }
 .game-card { min-height: 285px; padding: 26px; border: 1px solid var(--line); border-radius: 20px; background: var(--panel); display: flex; flex-direction: column; overflow: hidden; position: relative; }
@@ -140,7 +156,7 @@ button { color: inherit; }
 .game-card-top { display: flex; justify-content: space-between; align-items: start; }.game-card-top > span { display: grid; place-items: center; width: 58px; height: 58px; border-radius: 16px; background: var(--ink); color: var(--lime); font: 700 20px Georgia, serif; }.game-card-top small { color: var(--muted); }
 .game-card > b { margin-top: 24px; color: var(--green); font-size: 9px; letter-spacing: .18em; }.game-card h3 { margin: 8px 0; font: 28px Georgia, serif; }.game-card p { margin: 0; color: var(--muted); line-height: 1.7; }
 .game-card-controls { display: flex; gap: 10px; margin-top: auto; }.game-card-controls select { min-width: 100px; border: 1px solid var(--line); border-radius: 10px; padding: 11px; background: white; }.game-card-controls .primary-button { margin-left: auto; }
-.twenty-four-numbers { display: grid; grid-template-columns: repeat(4, 1fr); gap: 12px; margin: 24px 0; }.twenty-four-numbers button { aspect-ratio: 1; border: 1px solid var(--line); border-radius: 18px; background: var(--ink); color: var(--lime); font: 36px Georgia, serif; cursor: pointer; }
+.twenty-four-numbers { display: grid; grid-template-columns: repeat(4, 1fr); gap: 12px; margin: 24px 0; }.twenty-four-numbers button, .twenty-four-numbers > span { display: grid; place-items: center; aspect-ratio: 1; border: 1px solid var(--line); border-radius: 18px; background: var(--ink); color: var(--lime); font: 36px Georgia, serif; cursor: pointer; }
 .twenty-four-form { display: grid; gap: 12px; }.game-keypad { display: grid; grid-template-columns: repeat(6, 1fr); gap: 8px; }.game-keypad button { border: 1px solid var(--line); border-radius: 9px; padding: 10px; background: white; cursor: pointer; }
 .sudoku-board { width: min(100%, 540px); margin: 22px auto; display: grid; grid-template-columns: repeat(9, 1fr); border: 3px solid var(--ink); background: var(--ink); gap: 1px; }
 .sudoku-board input { width: 100%; min-width: 0; aspect-ratio: 1; border: 0; border-radius: 0; background: white; color: var(--green); text-align: center; font: 600 21px Georgia, serif; outline: 2px solid transparent; outline-offset: -2px; }
@@ -152,19 +168,35 @@ button { color: inherit; }
 .editor-pane { background: #1d2721; color: white; }
 .editor-pane label, .preview-pane > span { display: block; color: #9eaaa2; font-size: 10px; letter-spacing: .16em; text-transform: uppercase; }
 .editor-pane textarea { width: 100%; height: 330px; margin-top: 22px; resize: none; border: 0; outline: 0; background: transparent; color: #dcefa1; font: 16px/1.8 "SFMono-Regular", Consolas, monospace; }
-.preview-pane { display: flex; flex-direction: column; }
+.preview-pane { display: grid; grid-template-rows: auto minmax(0, 1fr) auto; min-width: 0; }
-#latex-preview { margin: auto; max-width: 100%; overflow-wrap: anywhere; font: 28px/1.6 Georgia, serif; }
+#latex-preview { align-self: center; width: 100%; min-width: 0; max-width: 100%; overflow-x: auto; overflow-y: hidden; padding: 18px 4px; font-size: 28px; line-height: 1.6; }
-.preview-pane button { align-self: flex-end; }
+#latex-preview .katex-display { margin: 0; overflow-x: auto; overflow-y: hidden; }
+#latex-preview.latex-preview-error { color: #b84136; font: 14px/1.7 system-ui, sans-serif; white-space: normal; }
+.preview-pane button { align-self: end; justify-self: end; margin-top: 24px; }
 .profile-panel { padding: 35px; }
 .metric-grid { display: grid; grid-template-columns: repeat(5, 1fr); gap: 10px; }
 .metric { background: rgba(25,101,72,.06); border-radius: 14px; padding: 17px; }
 .metric b, .metric span { display: block; }.metric b { font: 28px Georgia, serif; }.metric span { margin-top: 5px; color: var(--muted); font-size: 11px; }
 .profile-subtitle { margin: 30px 0 12px; font: 24px Georgia, serif; }.profile-game-list { display: grid; grid-template-columns: repeat(auto-fit, minmax(180px, 1fr)); gap: 9px; }.profile-game-list > div { padding: 13px; border-radius: 11px; background: #eef1eb; }.profile-game-list b, .profile-game-list span { display: block; }.profile-game-list span { margin-top: 5px; color: var(--muted); font-size: 11px; }
-.tool-grid { display: grid; grid-template-columns: repeat(auto-fit, minmax(170px, 1fr)); gap: 12px; margin-bottom: 22px; }
+.profile-mark-list { display: flex; flex-wrap: wrap; gap: 8px; }.profile-mark-list span { border: 1px solid rgba(25,101,72,.2); border-radius: 99px; padding: 7px 10px; background: rgba(204,232,91,.12); color: var(--green); font-size: 10px; }
+.home-match-history[hidden] { display: none; }
+.match-history-list { display: grid; gap: 10px; }
+.match-history-item { display: flex; align-items: center; justify-content: space-between; gap: 18px; padding: 16px 18px; border: 1px solid var(--line); border-left: 4px solid var(--green); border-radius: 13px; background: rgba(255,255,252,.8); }
+.match-history-item.result-loss { border-left-color: #c05245; }.match-history-item.result-draw { border-left-color: #9a8455; }
+.match-history-item > div, .match-history-item b, .match-history-item span, .match-history-item strong { display: block; }
+.match-history-item > div:last-child { text-align: right; }.match-history-item span { margin-top: 5px; color: var(--muted); font-size: 11px; }.match-history-item strong { color: var(--green); }
+.tool-groups { display: grid; grid-template-columns: 1.15fr 1fr .78fr; gap: 14px; margin-bottom: 24px; align-items: stretch; }
+.tool-group { min-width: 0; padding: 18px; border: 1px solid var(--line); border-radius: 20px; background: rgba(255,255,252,.52); }
+.tool-group > header { display: flex; align-items: center; gap: 12px; min-height: 52px; margin-bottom: 14px; }
+.tool-group > header > span { display: grid; place-items: center; width: 35px; height: 35px; flex: 0 0 35px; border-radius: 11px; background: var(--ink); color: var(--lime); font: 11px Georgia, serif; }
+.tool-group > header b, .tool-group > header small { display: block; }.tool-group > header b { font: 18px Georgia, serif; }.tool-group > header small { margin-top: 4px; color: var(--muted); font-size: 10px; }
+.tool-grid { display: grid; grid-template-columns: repeat(auto-fit, minmax(150px, 1fr)); gap: 10px; margin-bottom: 22px; }
+.tool-group .tool-grid { height: calc(100% - 66px); margin-bottom: 0; }
 .tool-card {
   min-height: 165px; border: 1px solid var(--line); border-radius: 18px; padding: 22px;
   background: rgba(255,255,252,.7); text-align: left; cursor: pointer; transition: .2s ease;
 }
+.tool-group .tool-card { min-height: 148px; padding: 18px; }
 .tool-card:hover, .tool-card.active { transform: translateY(-3px); border-color: rgba(25,101,72,.48); box-shadow: 0 16px 35px rgba(38,48,40,.08); }
 .tool-card.active { background: var(--ink); color: white; }
 .tool-card > span { display: grid; place-items: center; width: 52px; height: 52px; border-radius: 15px; background: rgba(25,101,72,.08); color: var(--green); font: 700 17px Georgia, serif; }
@@ -176,28 +208,54 @@ button { color: inherit; }
 .workspace-heading { display: flex; justify-content: space-between; gap: 30px; align-items: end; margin-bottom: 25px; }
 .workspace-heading h2 { margin: 7px 0 0; font: 31px Georgia, serif; }.workspace-heading p { max-width: 480px; color: var(--muted); font-size: 13px; }
 .calculator-shell { max-width: 980px; margin: auto; }
+.advanced-calculator { max-width: 1120px; }
+.calc-category-tabs { display: flex; gap: 5px; margin-bottom: 16px; padding: 5px; border-radius: 13px; background: #e9ede7; overflow-x: auto; scrollbar-width: thin; }
+.calc-category-tabs button { flex: 1 0 max-content; border: 0; border-radius: 9px; padding: 10px 14px; background: transparent; color: var(--muted); cursor: pointer; font-size: 12px; font-weight: 650; }
+.calc-category-tabs button.active { background: var(--ink); color: white; box-shadow: 0 5px 14px rgba(23,33,27,.13); }
 .calculator-display { min-height: 145px; border-radius: 18px; padding: 25px; background: var(--ink); color: white; display: flex; flex-direction: column; justify-content: space-between; text-align: right; }
 .calculator-display small { color: #9eaaa2; }.calculator-display output { color: var(--lime); font: 48px/1 Georgia, serif; overflow-wrap: anywhere; }
 .formula-input, .search-input { width: 100%; border: 1px solid var(--line); border-radius: 12px; padding: 14px 16px; background: white; outline-color: var(--green); }
 .calculator-shell > .formula-input { margin: 14px 0; font: 18px "SFMono-Regular", Consolas, monospace; }
 .calculator-actions { display: flex; flex-wrap: wrap; gap: 8px; }.calculator-actions button { border: 1px solid var(--line); border-radius: 10px; padding: 11px 15px; background: white; cursor: pointer; }.calculator-actions .primary-button { margin-left: auto; color: white; background: var(--green); border: 0; }
 .calculator-controls { display: grid; grid-template-columns: repeat(4, minmax(120px, 1fr)); gap: 10px; margin-bottom: 14px; }.calculator-controls label, .calculator-expression-label { display: grid; gap: 7px; color: var(--muted); font-size: 11px; }.calculator-controls select, .calculator-controls input { width: 100%; border: 1px solid var(--line); border-radius: 10px; padding: 11px; background: white; }
+.advanced-calculator .calculator-controls > label:first-child { grid-column: span 2; }
 .calculator-controls [hidden] { display: none !important; }
 .calculator-expression-label textarea { min-height: 92px; margin: 0 0 12px; resize: vertical; font: 17px/1.6 "SFMono-Regular", Consolas, monospace; }
+.calc-hint { margin: -4px 0 14px; color: var(--muted); font-size: 11px; line-height: 1.65; }
 .calculator-result { margin-top: 17px; }.calc-result-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 10px; margin-top: 10px; }.calc-result-grid > div { min-width: 0; padding: 14px; border: 1px solid var(--line); border-radius: 12px; background: white; }.calc-result-grid span { display: block; color: var(--muted); font-size: 10px; text-transform: uppercase; letter-spacing: .12em; }.calc-result-grid code { display: block; margin-top: 8px; overflow-wrap: anywhere; color: var(--green); }
 .calc-steps { margin: 13px 0 0; padding: 14px 14px 14px 34px; border-radius: 12px; background: #eef1eb; color: var(--muted); font-size: 12px; line-height: 1.8; }.calc-steps:empty { display: none; }
 .search-input { width: min(370px, 100%); }
 .symbol-grid { display: grid; grid-template-columns: repeat(4, 1fr); gap: 10px; }
 .symbol-card { border: 1px solid var(--line); border-radius: 15px; padding: 18px; background: white; cursor: pointer; text-align: left; }
 .symbol-card strong { display: block; color: var(--green); font: 29px Georgia, serif; }.symbol-card b { display: block; margin-top: 10px; }.symbol-card small { display: block; margin-top: 5px; color: var(--muted); }.symbol-card code { display: inline-block; margin-top: 12px; padding: 4px 7px; border-radius: 6px; background: #f0f1eb; color: #405048; }
-.graph-shell { display: grid; grid-template-columns: 245px minmax(0, 1fr); gap: 20px; }
+.graph-shell { display: grid; grid-template-columns: minmax(300px, 360px) minmax(0, 1fr); gap: 18px; align-items: start; }
-.graph-controls { display: flex; flex-direction: column; gap: 17px; }.graph-controls label { display: grid; gap: 8px; color: var(--muted); font-size: 12px; }.graph-controls p { color: #b84136; font-size: 12px; }.graph-controls textarea { min-height: 100px; resize: vertical; font: 13px/1.6 "SFMono-Regular", Consolas, monospace; }
+.graph-controls { display: flex; min-width: 0; flex-direction: column; gap: 14px; padding: 18px; border: 1px solid var(--line); border-radius: 17px; background: rgba(247,248,243,.86); }.graph-controls label { display: grid; gap: 8px; color: var(--muted); font-size: 12px; }.graph-controls > p { min-height: 17px; margin: 0; color: #b84136; font-size: 12px; }
+.function-syntax-help { border: 1px solid var(--line); border-radius: 11px; padding: 12px 14px; background: #f5f7f1; }.function-syntax-help summary { color: var(--green); font-weight: 700; cursor: pointer; }.function-syntax-help p { margin: 9px 0 0; color: var(--muted); line-height: 1.7; }.function-syntax-help code { color: var(--ink); }
 .check-row { display: flex !important; grid-template-columns: auto 1fr; align-items: center; gap: 8px !important; }.check-row input { margin: 0; }
-.graph-analysis { padding: 11px; border-radius: 10px; background: #eef1eb; color: var(--muted); font-size: 11px; line-height: 1.6; }
+.graph-functions-heading { display: flex; align-items: center; justify-content: space-between; gap: 10px; }.graph-functions-heading b { font-size: 13px; }.graph-functions-heading button, .graph-actions button { border: 1px solid var(--line); border-radius: 9px; padding: 8px 10px; background: white; color: var(--green); cursor: pointer; font-size: 11px; font-weight: 650; }
-#graph-canvas { width: 100%; height: auto; border: 1px solid var(--line); border-radius: 17px; background: #fbfbf7; }
+.graph-function-list { display: grid; gap: 8px; }
+.graph-function-row { display: grid; grid-template-columns: 18px 29px auto minmax(70px, 1fr) 29px; gap: 7px; align-items: center; min-width: 0; }
+.graph-function-row > input[type="checkbox"] { width: 16px; height: 16px; margin: 0; accent-color: var(--green); }
+.graph-function-row > input[type="color"] { width: 29px; height: 29px; padding: 2px; border: 1px solid var(--line); border-radius: 8px; background: white; cursor: pointer; }
+.graph-function-row > span { color: var(--muted); font: 11px "SFMono-Regular", Consolas, monospace; white-space: nowrap; }
+.graph-function-row .formula-input { min-width: 0; padding: 9px 10px; border-radius: 9px; font: 12px "SFMono-Regular", Consolas, monospace; }
+.graph-function-row > button { width: 29px; height: 29px; border: 1px solid var(--line); border-radius: 8px; background: white; color: #a5443b; cursor: pointer; font-size: 18px; line-height: 1; }.graph-function-row > button:disabled { color: #b8beb9; cursor: not-allowed; }
+.graph-parameter-control { display: grid; gap: 8px; padding-top: 3px; }.graph-parameter-control label { display: flex; justify-content: space-between; }.graph-parameter-control output { color: var(--green); font-weight: 700; }
+.graph-viewport-controls { border-top: 1px solid var(--line); border-bottom: 1px solid var(--line); padding: 12px 0; }.graph-viewport-controls summary { color: var(--ink); font-size: 12px; font-weight: 700; cursor: pointer; }.graph-viewport-controls > .check-row { margin-top: 12px; }
+.graph-range-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 8px; margin-top: 11px; }.graph-range-grid label { gap: 5px; font-size: 10px; }.graph-range-grid input { min-width: 0; width: 100%; border: 1px solid var(--line); border-radius: 8px; padding: 8px; background: white; color: var(--ink); }
+.graph-option-grid { display: grid; grid-template-columns: 1fr; gap: 8px; }
+.graph-actions { display: grid; grid-template-columns: 1fr 1fr; gap: 7px; }.graph-actions .primary-button { grid-column: 1 / -1; border-color: var(--green); background: var(--green); color: white; }
+.graph-stage { position: relative; min-width: 0; padding: 10px; border: 1px solid var(--line); border-radius: 19px; background: rgba(255,255,252,.72); overflow: hidden; }
+.graph-legend { min-height: 29px; display: flex; flex-wrap: wrap; gap: 6px; padding: 0 3px 9px; }.graph-legend span { display: inline-flex; align-items: center; gap: 6px; max-width: 100%; padding: 5px 8px; border-radius: 99px; background: #eef1eb; color: var(--muted); font: 10px "SFMono-Regular", Consolas, monospace; overflow-wrap: anywhere; }.graph-legend i { width: 8px; height: 8px; flex: 0 0 8px; border-radius: 50%; }
+.graph-analysis { margin-top: 9px; padding: 11px; border-radius: 10px; background: #eef1eb; color: var(--muted); font-size: 11px; line-height: 1.6; }
+.graph-stage-hint { padding: 8px 4px 0; color: #8b958e; font-size: 10px; text-align: center; }
+#graph-canvas { display: block; width: 100%; height: auto; aspect-ratio: 16 / 10; border: 1px solid var(--line); border-radius: 14px; background: #fbfbf7; cursor: grab; touch-action: none; user-select: none; }#graph-canvas.dragging { cursor: grabbing; }
 .drawing-toolbar { display: flex; flex-wrap: wrap; align-items: center; gap: 8px; margin-bottom: 14px; }.drawing-toolbar button, .drawing-toolbar label { border: 1px solid var(--line); border-radius: 9px; padding: 9px 12px; background: white; color: var(--muted); cursor: pointer; }.drawing-toolbar button.active { border-color: var(--ink); background: var(--ink); color: white; }.drawing-toolbar .primary-button { margin-left: auto; border: 0; background: var(--green); color: white; }.drawing-toolbar label { display: flex; align-items: center; gap: 7px; font-size: 11px; }.drawing-toolbar input[type=color] { width: 28px; height: 24px; padding: 0; border: 0; background: transparent; }
 .toolbar-text-input { flex: 1 1 190px; min-width: 150px; border: 1px solid var(--line); border-radius: 9px; padding: 10px 12px; background: white; }.drawing-toolbar .file-tool input { display: none; }
 .canvas-stage { width: 100%; overflow: hidden; border: 1px solid var(--line); border-radius: 16px; background: white; box-shadow: inset 0 0 0 1px rgba(255,255,255,.6); }.canvas-stage canvas { display: block; width: 100%; height: auto; touch-action: none; cursor: crosshair; }.geometry-stage { background: #fbfbf7; }.canvas-hint { color: var(--muted); font-size: 11px; text-align: center; }
+.board-mode-switch { display: flex; gap: 8px; margin-bottom: 12px; }.board-mode-switch button { border: 1px solid var(--line); border-radius: 99px; padding: 9px 16px; background: white; cursor: pointer; }.board-mode-switch button.active { border-color: var(--ink); background: var(--ink); color: white; }
+.board-online-panel { display: grid; grid-template-columns: auto minmax(250px, 1fr); gap: 10px 16px; align-items: center; margin-bottom: 18px; padding: 16px; border: 1px solid var(--line); border-radius: 14px; background: linear-gradient(120deg, rgba(25,101,72,.06), rgba(204,232,91,.1)); }.board-online-panel > div, .board-online-panel form { display: flex; gap: 8px; }.board-online-panel select, .board-online-panel input { min-width: 0; border: 1px solid var(--line); border-radius: 9px; padding: 10px 12px; background: white; }.board-online-panel p { grid-column: 1 / -1; margin: 0; color: var(--muted); font-size: 11px; }.board-online-panel > strong { grid-column: 1 / -1; color: var(--green); }.board-online-panel [hidden] { display: none !important; }
+.board-pane { display: none; }.board-pane.active { display: block; }
 .discover-title { padding-bottom: 24px; }
 .ability-map { border: 1px solid var(--line); border-radius: var(--radius); padding: 28px; background: rgba(255,255,252,.64); overflow: hidden; }
 .map-heading { display: flex; align-items: start; justify-content: space-between; gap: 20px; }.map-heading h2 { margin: 0 0 6px; font: 30px Georgia, serif; }.map-heading p { margin: 0; color: var(--muted); font-size: 13px; }
@@ -211,10 +269,16 @@ button { color: inherit; }
 .pet-node { position: absolute; left: calc(50% - 49px); top: 145px; width: 98px; height: 98px; border: 2px solid #b49d8b; border-radius: 50%; background: white; display: grid; place-items: center; box-shadow: 0 13px 25px rgba(38,48,40,.12); }
 .pet-node b { display: grid; place-items: center; width: 46px; height: 46px; border-radius: 50%; background: #778990; color: white; font: 22px Georgia, serif; }.pet-node span { position: absolute; bottom: 8px; font-size: 10px; color: var(--muted); }
 .map-hint { margin: 0; text-align: center; color: #a0a49e; font-size: 11px; }
-.video-browser { margin-top: 28px; }.filter-row { display: flex; flex-wrap: wrap; gap: 8px; margin-bottom: 11px; }
+.video-browser { margin-top: 28px; }.filter-row { display: flex; flex-wrap: wrap; gap: 10px; margin-bottom: 11px; }
-.filter-chip { border: 1px solid var(--line); border-radius: 99px; padding: 9px 14px; background: rgba(255,255,252,.7); color: var(--muted); cursor: pointer; }
+.filter-dropdown { position: relative; }
-.filter-chip.active { background: var(--ink); border-color: var(--ink); color: white; }
+.filter-dropdown-toggle { display: flex; align-items: center; gap: 8px; border: 1px solid var(--line); border-radius: 12px; padding: 10px 16px; background: rgba(255,255,252,.82); color: var(--ink); cursor: pointer; font-size: 14px; min-width: 140px; justify-content: space-between; }
-.discipline-filters .filter-chip { border-radius: 9px; }
+.filter-dropdown-toggle b { font-size: 10px; color: var(--muted); transition: transform .2s; }
+.filter-dropdown-toggle[aria-expanded="true"] b { transform: rotate(180deg); }
+.filter-dropdown-panel { position: absolute; top: calc(100% + 6px); left: 0; z-index: 30; min-width: 200px; max-height: 320px; overflow-y: auto; border: 1px solid var(--line); border-radius: 14px; background: rgba(255,255,252,.96); backdrop-filter: blur(16px); box-shadow: 0 12px 40px rgba(38,48,40,.12); padding: 6px; display: flex; flex-direction: column; gap: 2px; }
+.filter-dropdown-panel.hidden { display: none; }
+.filter-option { border: 0; border-radius: 10px; padding: 10px 14px; background: transparent; color: var(--ink); cursor: pointer; text-align: left; font-size: 13px; transition: background .15s; }
+.filter-option:hover { background: #eef1eb; }
+.filter-option.active { background: var(--ink); color: white; }
 .video-section-heading { margin: 35px 0 16px; display: flex; justify-content: space-between; align-items: end; }.video-section-heading h2 { margin: 8px 0 0; font: 30px Georgia, serif; }.video-section-heading > span { color: var(--muted); font-size: 12px; }
 .video-grid { display: grid; grid-template-columns: repeat(3, 1fr); gap: 16px; }.video-grid.loading { display: block; color: var(--muted); padding: 35px 0; }
 .video-card { border: 1px solid var(--line); border-radius: 18px; background: rgba(255,255,252,.82); overflow: hidden; cursor: pointer; transition: .2s ease; }
@@ -236,6 +300,16 @@ dialog::backdrop { background: rgba(17,25,20,.55); backdrop-filter: blur(5px); }
 .hidden { display: none !important; }.form-error { min-height: 18px; color: #b84136; font-size: 12px; }
 .experience-dialog { width: min(760px, calc(100% - 30px)); }
 .experience-dialog h2 { font: 34px Georgia, serif; }.experience-dialog .scene { white-space: pre-line; line-height: 1.9; color: #3e4942; }
+.story-open { overflow: hidden; }
+.story-experience { position: fixed; inset: 0; z-index: 120; overflow-y: auto; padding: 28px clamp(20px, 5vw, 78px) 60px; background: radial-gradient(circle at 86% 8%, rgba(204,232,91,.18), transparent 30%), linear-gradient(145deg, #f7f6ef, #ecefe8); }
+.story-experience.hidden { display: none; }
+.story-experience-header { position: sticky; top: 0; z-index: 3; display: flex; align-items: center; justify-content: space-between; gap: 20px; padding: 14px 0 18px; background: linear-gradient(#f7f6ef 72%, transparent); }.story-experience-header h1 { margin: 7px 0 0; font: clamp(30px, 4vw, 52px) Georgia, serif; }
+.story-chapter-bar { display: grid; grid-template-columns: minmax(210px, .4fr) 1fr; align-items: end; gap: 25px; margin: 12px 0 24px; }.story-chapter-bar span, .story-chapter-bar b { display: block; }.story-chapter-bar span { color: var(--green); font-size: 11px; letter-spacing: .12em; }.story-chapter-bar b { margin-top: 5px; font: 20px Georgia, serif; }
+.story-experience-layout { display: grid; grid-template-columns: minmax(0, 1fr) minmax(260px, 340px); gap: 24px; align-items: start; }
+.story-scene-panel { min-height: min(620px, calc(100dvh - 210px)); padding: clamp(28px, 5vw, 64px); border: 1px solid var(--line); border-radius: 24px; background: rgba(255,255,252,.9); box-shadow: 0 28px 80px rgba(38,48,40,.08); }.story-scene-panel h2 { margin: 13px 0 20px; font: clamp(30px, 4vw, 48px) Georgia, serif; }.story-scene-panel .scene { min-height: 180px; white-space: pre-line; color: #354139; font-size: clamp(16px, 1.8vw, 20px); line-height: 2; }.story-scene-panel .choice-list { margin-top: 36px; }
+.story-special-choice { border-color: #a47b20 !important; background: #fff4c7 !important; color: #74520c !important; box-shadow: 0 8px 24px rgba(164,123,32,.12); }
+.story-mark-panel { position: sticky; top: 112px; padding: 24px; border-radius: 20px; background: var(--ink); color: white; }.story-mark-panel h2 { margin: 8px 0 20px; font: 28px Georgia, serif; }.story-domain-counts { display: grid; grid-template-columns: repeat(4, 1fr); gap: 6px; margin-bottom: 18px; }.story-domain-counts div { padding: 9px 4px; border-radius: 9px; background: rgba(255,255,255,.07); text-align: center; }.story-domain-counts b, .story-domain-counts span { display: block; }.story-domain-counts b { color: var(--lime); font-size: 20px; }.story-domain-counts span { margin-top: 3px; color: #aeb9b1; font-size: 8px; }
+.story-mark-list { display: flex; flex-wrap: wrap; gap: 7px; }.story-mark { border: 1px solid rgba(255,255,255,.12); border-radius: 99px; padding: 6px 9px; color: #748078; font-size: 9px; }.story-mark.collected { border-color: rgba(204,232,91,.45); color: var(--lime); }.story-mark.current-run { background: rgba(204,232,91,.12); }
 .choice-list { display: grid; gap: 9px; margin-top: 25px; }
 .choice-list button { text-align: left; border: 1px solid var(--line); border-radius: 12px; padding: 14px; background: white; cursor: pointer; }
 .choice-list button:hover { border-color: var(--green); }
@@ -251,7 +325,7 @@ dialog::backdrop { background: rgba(17,25,20,.55); backdrop-filter: blur(5px); }
   .app-shell { grid-template-columns: 80px 1fr; }.sidebar { padding: 25px 13px; }.brand span:last-child, .nav-item:not(.active) span, .nav-item { font-size: 0; }
   .nav-item { text-align: center; }.nav-item span { width: auto; font-size: 11px !important; }.sidebar-foot { display: none; }
   .hero-grid { grid-template-columns: 1fr; }.daily-card { min-height: 350px; }.spirit-grid { grid-template-columns: 1fr 1fr; }.content-grid { grid-template-columns: 1fr 1fr; }
-  .tool-grid { grid-template-columns: repeat(3, 1fr); }.symbol-grid { grid-template-columns: repeat(3, 1fr); }.video-grid { grid-template-columns: 1fr 1fr; }.calculator-controls { grid-template-columns: repeat(2, 1fr); }
+  .tool-groups, .graph-shell { grid-template-columns: 1fr; }.tool-group .tool-grid { grid-template-columns: repeat(2, minmax(0, 1fr)); }.tool-grid { grid-template-columns: repeat(3, 1fr); }.symbol-grid { grid-template-columns: repeat(3, 1fr); }.video-grid { grid-template-columns: 1fr 1fr; }.calculator-controls { grid-template-columns: repeat(2, 1fr); }
 }
 @media (max-width: 700px) {
   .app-shell { display: block; }.sidebar { position: fixed; top: auto; bottom: 0; width: 100%; height: 68px; z-index: 10; border: 0; border-top: 1px solid var(--line); padding: 8px; }
@@ -260,8 +334,84 @@ dialog::backdrop { background: rgba(17,25,20,.55); backdrop-filter: blur(5px); }
   .hero { min-height: 500px; padding: 35px 25px; }.hero h1 { font-size: 44px; }.hero-actions { align-items: stretch; flex-direction: column; }
   .section-heading { display: block; }.section-heading p { margin-top: 12px; }.spirit-grid, .content-grid, .editor-shell, .metric-grid, .tool-grid, .symbol-grid, .video-grid, .graph-shell, .game-card-grid, .calc-result-grid { grid-template-columns: 1fr; }
   .content-grid { gap: 11px; }.editor-shell { min-height: 700px; }.page-title { padding-top: 42px; }.page-title h1 { font-size: 45px; }
-  .tool-card { min-height: 125px; }.workspace-heading, .map-heading { display: block; }.workspace-heading p { margin-top: 12px; }.tool-workspace { padding: 16px; }.calculator-controls { grid-template-columns: 1fr 1fr; }.calculator-display { min-height: 120px; padding: 18px; }.calculator-display output { font-size: 34px; }.calc-examples .primary-button { width: 100%; margin-left: 0; }.drawing-toolbar { align-items: stretch; }.drawing-toolbar .primary-button { width: 100%; margin-left: 0; }.canvas-stage canvas { width: 100%; min-width: 0; }
+  .preview-pane { min-height: 320px; }.match-history-item { align-items: flex-start; flex-direction: column; }.match-history-item > div:last-child { text-align: left; }
+  .match-mode-switch { grid-template-columns: 1fr; }
+  .board-online-panel { grid-template-columns: 1fr; }.board-online-panel > div, .board-online-panel form { display: grid; grid-template-columns: 1fr; }.board-online-panel p, .board-online-panel > strong { grid-column: 1; }
+  .story-experience { padding: 14px 14px 40px; }.story-experience-header { align-items: flex-start; }.story-experience-header .ghost-button { width: auto; padding: 9px 11px; font-size: 10px; }.story-chapter-bar, .story-experience-layout { grid-template-columns: 1fr; }.story-scene-panel { min-height: 0; padding: 25px 20px; }.story-scene-panel .scene { min-height: 120px; }.story-mark-panel { position: static; }.story-domain-counts { grid-template-columns: repeat(2, 1fr); }
+  .wechat-entry { align-items: flex-start; flex-direction: column; padding: 24px; }.wechat-entry-actions { width: 100%; display: grid; grid-template-columns: 1fr 1fr; }.wechat-entry-actions > * { justify-content: center; text-align: center; }
+  .tool-group { padding: 14px; }.tool-group .tool-grid { grid-template-columns: 1fr; }.tool-card { min-height: 125px; }.workspace-heading, .map-heading { display: block; }.workspace-heading p { margin-top: 12px; }.tool-workspace { padding: 16px; }.calculator-controls { grid-template-columns: 1fr 1fr; }.advanced-calculator .calculator-controls > label:first-child { grid-column: 1 / -1; }.calculator-display { min-height: 120px; padding: 18px; }.calculator-display output { font-size: 34px; }.calc-examples .primary-button { width: 100%; margin-left: 0; }.graph-controls { padding: 14px; }.graph-function-row { grid-template-columns: 17px 27px auto minmax(60px, 1fr) 27px; gap: 5px; }.graph-function-row > input[type="color"], .graph-function-row > button { width: 27px; height: 27px; }.graph-range-grid { grid-template-columns: 1fr 1fr; }#graph-canvas { aspect-ratio: 4 / 3; }.drawing-toolbar { align-items: stretch; }.drawing-toolbar .primary-button { width: 100%; margin-left: 0; }.canvas-stage canvas { width: 100%; min-width: 0; }
   .math-games-section { margin-top: 45px; }.game-card { min-height: 260px; padding: 21px; }.game-card-controls { align-items: stretch; }.game-card-controls .primary-button { flex: 1; }.twenty-four-numbers { gap: 7px; }.twenty-four-numbers button { border-radius: 13px; font-size: 28px; }.sudoku-board input { font-size: clamp(13px, 4.5vw, 20px); }.sudoku-actions { display: grid; grid-template-columns: 1fr 1fr; }.game-keypad { gap: 5px; }
+  .challenge-panel { grid-template-columns: 1fr; padding: 20px; }.challenge-actions form { grid-template-columns: 1fr; }.challenge-actions .dark-button { width: 100%; }.challenge-code { width: 100%; padding: 14px 10px; font-size: 27px; }.realtime-status-line { display: grid; }.realtime-progress-panel { grid-template-columns: 1fr 1fr; }
   .map-stage { height: 480px; transform: scale(.92); }.ability-node { width: 108px; height: 94px; }.node-vision { left: calc(50% - 54px); }.node-humanities { left: 0; top: 100px; }.node-connection { right: 0; top: 100px; }.node-detection { left: 2%; bottom: 30px; }.node-modeling { right: 2%; bottom: 30px; }.pet-node { top: 190px; }
   .map-lines { display: none; }.ability-legend { margin-top: 14px; justify-content: start; }.video-cover { height: 150px; }
 }
+
+.life-hub, .life-skills { animation: rise .35s ease; }
+.back-button { display: inline-flex; align-items: center; gap: 6px; border: 1px solid var(--line); border-radius: 10px; padding: 8px 16px; background: transparent; color: var(--muted); cursor: pointer; margin-bottom: 18px; font-size: 13px; transition: .2s ease; }
+.back-button:hover { color: var(--ink); border-color: var(--ink); }
+
+.life-map { margin-top: 28px; }
+.life-map-canvas { position: relative; max-width: 1200px; margin: 0 auto; display: grid; grid-template-columns: 1fr 1fr; gap: 40px; padding: 30px 0; }
+.life-map-lines { position: absolute; inset: 0; width: 100%; height: 100%; z-index: 0; pointer-events: none; }
+
+.route-card {
+  position: relative; width: 100%; padding: 28px 26px 24px; border-radius: 22px; z-index: 2;
+  border: 1px solid rgba(23,33,27,.1); background: rgba(255,255,252,.82); backdrop-filter: blur(14px);
+  box-shadow: 0 24px 70px rgba(38,48,40,.06); cursor: pointer; transition: .25s ease; display: flex; flex-direction: column; min-height: 300px;
+}
+.route-card:hover { transform: translateY(-6px); box-shadow: 0 28px 80px rgba(38,48,40,.1); }
+.route-card::after { content: ""; position: absolute; width: 80px; height: 80px; border-radius: 50%; right: -28px; top: -28px; opacity: .5; }
+.route-believer::after { background: var(--lime); }
+.route-spreader::after { background: var(--blue); }
+.route-applier::after { background: var(--orange); }
+.route-seer::after { background: #bb8ac4; }
+
+.route-index { font: 700 13px Georgia, serif; color: #b0b6ae; letter-spacing: .08em; }
+.route-spirit { margin-top: 14px; } .route-spirit b { display: block; font: 25px Georgia, serif; } .route-spirit small { font-size: 9px; color: var(--muted); letter-spacing: .22em; }
+.route-conflict { margin: 16px 0 18px; color: #3e4942; font-size: 14px; line-height: 1.7; }
+.route-mathematicians { display: flex; gap: 10px; margin-bottom: 18px; }
+.route-mathematician { display: flex; flex-direction: column; align-items: center; gap: 5px; flex: 1; }
+.route-mathematician img { width: 52px; height: 52px; border-radius: 50%; object-fit: cover; border: 2px solid rgba(23,33,27,.08); }
+.route-mathematician b { font-size: 10px; text-align: center; }
+.route-mathematician small { font-size: 8px; color: var(--muted); text-align: center; line-height: 1.3; }
+.route-meta { margin-top: auto; margin-bottom: 16px; }
+.route-status { font-size: 10px; color: var(--green); font-weight: 700; letter-spacing: .06em; }
+.route-enter { border: 0; border-bottom: 2px solid currentColor; padding: 4px 0; background: transparent; cursor: pointer; font-size: 14px; font-weight: 650; text-align: left; }
+.route-believer .route-enter { color: var(--green); } .route-spreader .route-enter { color: var(--blue); }
+.route-applier .route-enter { color: var(--orange); } .route-seer .route-enter { color: #9b6bb0; }
+
+.alumni-entry { margin-top: 50px; border-radius: 22px; background: var(--ink); color: white; padding: 40px 46px; overflow: hidden; position: relative; }
+.alumni-entry::after { content: ""; position: absolute; width: 280px; height: 280px; right: -80px; bottom: -120px; border: 45px solid rgba(204,232,91,.08); border-radius: 50%; }
+.alumni-entry-content { display: flex; align-items: center; justify-content: space-between; gap: 30px; position: relative; z-index: 1; }
+.alumni-entry .kicker { color: var(--lime); }
+.alumni-entry h2 { margin: 12px 0 10px; font: 30px Georgia, serif; }
+.alumni-entry p { color: #aeb9b1; font-size: 14px; line-height: 1.7; max-width: 480px; }
+.alumni-entry-action { display: flex; flex-direction: column; align-items: flex-end; gap: 14px; }
+.alumni-entry-action span { font-size: 11px; color: #aeb9b1; }
+.alumni-entry .primary-button { background: var(--lime); color: var(--ink); }
+
+.skill-grid { display: grid; grid-template-columns: repeat(3, 1fr); gap: 18px; }
+.skill-grid.loading { display: block; color: var(--muted); padding: 40px 0; }
+.skill-card { border: 1px solid var(--line); border-radius: 18px; background: rgba(255,255,252,.82); overflow: hidden; transition: .2s ease; }
+.skill-card:hover { transform: translateY(-4px); box-shadow: 0 18px 38px rgba(38,48,40,.1); }
+.skill-header { height: 90px; background: var(--ink); display: flex; align-items: flex-end; padding: 18px; }
+.skill-meta { color: var(--lime); font-size: 10px; font-weight: 700; letter-spacing: .16em; }
+.skill-body { padding: 22px; display: flex; flex-direction: column; min-height: 180px; }
+.skill-body h3 { margin: 0 0 10px; font: 21px/1.3 Georgia, serif; }
+.skill-body p { color: var(--muted); font-size: 13px; line-height: 1.7; flex: 1; }
+.skill-body footer { display: flex; align-items: center; justify-content: space-between; margin-top: 18px; }
+.skill-body footer span { color: var(--muted); font-size: 12px; }
+.skill-body footer button { border: 0; border-bottom: 2px solid var(--green); background: transparent; color: var(--green); padding: 4px 0; cursor: pointer; font-weight: 650; }
+.skill-body footer button:disabled { cursor: not-allowed; opacity: .5; }
+
+@media (max-width: 1050px) {
+  .life-map-canvas { grid-template-columns: 1fr; }
+  .life-map-lines { display: none; }
+  .alumni-entry-content { flex-direction: column; align-items: flex-start; }
+  .alumni-entry-action { align-items: flex-start; }
+  .skill-grid { grid-template-columns: 1fr 1fr; }
+}
+@media (max-width: 700px) {
+  .skill-grid { grid-template-columns: 1fr; }
+  .alumni-entry { padding: 28px 24px; }
+}

backend/static/js/app.js

@@ -1,8 +1,35 @@
+const ROUTE_MATHEMATICIANS = {
+  believer: [
+    { name: "高斯", portrait: "/static/img/mathematicians/1000.png", identity: "定理工匠" },
+    { name: "祖冲之", portrait: "/static/img/mathematicians/1010.png", identity: "穷竭守尺人" },
+    { name: "欧拉", portrait: "/static/img/mathematicians/1001.png", identity: "公式狂僧" },
+    { name: "诺特", portrait: "/static/img/mathematicians/1011.png", identity: "抽象代数宗师" },
+  ],
+  spreader: [
+    { name: "斐波那契", portrait: "/static/img/mathematicians/1100.png", identity: "商路算郎" },
+    { name: "华罗庚", portrait: "/static/img/mathematicians/1110.png", identity: "双法布道者" },
+    { name: "伽罗瓦", portrait: "/static/img/mathematicians/1101.png", identity: "决斗狂热者" },
+    { name: "Lovelace", portrait: "/static/img/mathematicians/1111.png", identity: "织机先知" },
+  ],
+  applier: [
+    { name: "秦九韶", portrait: "/static/img/mathematicians/0100.png", identity: "大衍谋士" },
+    { name: "牛顿", portrait: "/static/img/mathematicians/0110.png", identity: "宇宙立法者" },
+    { name: "图灵", portrait: "/static/img/mathematicians/0111.png", identity: "密码破译使" },
+    { name: "冯·诺依曼", portrait: "/static/img/mathematicians/0101.png", identity: "博弈游侠" },
+  ],
+  seer: [
+    { name: "希帕提娅", portrait: "/static/img/mathematicians/0000.png", identity: "几何殉道者" },
+    { name: "赵爽", portrait: "/static/img/mathematicians/0010.png", identity: "弦图先觉" },
+    { name: "庞加莱", portrait: "/static/img/mathematicians/0001.png", identity: "拓扑游方" },
+    { name: "约翰逊", portrait: "/static/img/mathematicians/0011.png", identity: "人脑计算机" },
+  ],
+};
+
 const state = {
   user: null,
   stories: [],
   contests: [],
-  track: "standard",
+  matchMode: "quiz",
   videoCatalog: null,
   videos: [],
   videoAbility: "",
@@ -43,22 +70,72 @@ function createIdempotencyKey() {
   ].join("-");
 }
 
+function collectApiErrorMessages(value, messages = []) {
+  if (Array.isArray(value)) {
+    value.forEach((item) => collectApiErrorMessages(item, messages));
+  } else if (value && typeof value === "object") {
+    Object.values(value).forEach((item) => collectApiErrorMessages(item, messages));
+  } else if (value !== undefined && value !== null) {
+    const message = String(value).trim();
+    if (message && !messages.includes(message)) messages.push(message);
+  }
+  return messages;
+}
+
+function logApiError(error) {
+  if (error.status === 401 || error.status === 403) return;
+  console.error("[Hulumath API]", {
+    method: error.method,
+    path: error.path,
+    status: error.status,
+    code: error.code,
+    requestId: error.requestId,
+    details: error.details,
+  });
+}
+
 async function api(path, options = {}) {
+  const method = (options.method || "GET").toUpperCase();
+  const requestPath = `/api/v1/${path}`;
   const headers = { Accept: "application/json", ...(options.headers || {}) };
   if (options.body && typeof options.body !== "string") {
     headers["Content-Type"] = "application/json";
     options.body = JSON.stringify(options.body);
   }
-  if (!["GET", "HEAD"].includes(options.method || "GET")) headers["X-CSRFToken"] = csrfToken();
+  if (!["GET", "HEAD"].includes(method)) headers["X-CSRFToken"] = csrfToken();
-  const response = await fetch(`/api/v1/${path}`, { credentials: "same-origin", ...options, headers });
+  let response;
+  try {
+    response = await fetch(requestPath, { credentials: "same-origin", ...options, headers });
+  } catch (cause) {
+    const error = new Error("网络连接失败，请检查连接后重试");
+    error.status = null;
+    error.code = "network_error";
+    error.requestId = null;
+    error.details = null;
+    error.path = requestPath;
+    error.method = method;
+    error.cause = cause;
+    logApiError(error);
+    throw error;
+  }
   if (response.status === 204) return null;
   const payload = await response.json().catch(() => ({}));
   if (!response.ok) {
     const details = payload.error?.details;
-    const message = payload.error?.message || payload.detail ||
+    const detailMessages = collectApiErrorMessages(details);
-      (details ? Object.values(details).flat().join(" ") : "请求失败");
+    const requestId = payload.error?.request_id || response.headers.get("X-Request-ID");
+    const baseMessage = detailMessages.length
+      ? detailMessages.join("；")
+      : payload.error?.message || payload.detail || `请求失败（HTTP ${response.status}）`;
+    const message = requestId ? `${baseMessage}（请求编号：${requestId}）` : baseMessage;
     const error = new Error(message);
     error.status = response.status;
+    error.code = payload.error?.code || "request_error";
+    error.requestId = requestId;
+    error.details = details || null;
+    error.path = requestPath;
+    error.method = method;
+    logApiError(error);
     throw error;
   }
   return payload;
@@ -71,6 +148,16 @@ function showToast(message) {
   window.setTimeout(() => toast.classList.remove("show"), 2600);
 }
 
+async function copyWechatName() {
+  const name = $("#wechat-copy").dataset.wechatName;
+  try {
+    await navigator.clipboard.writeText(name);
+    showToast(`已复制公众号名称：${name}`);
+  } catch {
+    showToast(`请在微信内搜索：${name}`);
+  }
+}
+
 function navigate(view) {
   $$(".nav-item").forEach((button) => button.classList.toggle("active", button.dataset.view === view));
   $$(".view").forEach((section) => section.classList.toggle("active", section.id === `view-${view}`));
@@ -101,6 +188,7 @@ function updateUserUI() {
   chip.append(avatar, name);
   $("#auth-button").textContent = state.user ? "退出登录" : "登录 / 注册";
   $("#admin-entry").hidden = !state.user?.is_staff;
+  if (!state.user) $("#home-match-history").hidden = true;
 }
 
 async function loadUser() {
@@ -111,6 +199,7 @@ async function loadUser() {
     state.user = null;
   }
   updateUserUI();
+  await loadHomeMatchHistory();
 }
 
 function card({ meta, title, body, foot, action, onClick, disabled = false }) {
@@ -135,42 +224,164 @@ function card({ meta, title, body, foot, action, onClick, disabled = false }) {
   return article;
 }
 
+function renderRouteMathematicians() {
+  Object.entries(ROUTE_MATHEMATICIANS).forEach(([clan, mathematicians]) => {
+    const root = $(`[data-mathematicians="${clan}"]`);
+    if (!root) return;
+    root.replaceChildren(...mathematicians.map((person) => {
+      const item = document.createElement("div");
+      item.className = "route-mathematician";
+      const img = document.createElement("img");
+      img.src = person.portrait;
+      img.alt = person.name;
+      img.loading = "lazy";
+      const name = document.createElement("b");
+      name.textContent = person.name;
+      const identity = document.createElement("small");
+      identity.textContent = person.identity;
+      item.append(img, name, identity);
+      return item;
+    }));
+  });
+}
+
 async function loadStories() {
-  const root = $("#story-list");
   try {
     state.stories = await api("math-life/stories/");
-    root.classList.remove("loading");
+    renderRouteBadges();
-    root.replaceChildren(...state.stories.map((story) => card({
+    renderSkillList();
-      meta: story.kind === "flagship" ? "旗舰人生" : story.kind === "skill" ? "人物 Skill" : "特别篇",
-      title: story.title,
-      body: story.summary || "在不完整信息中判断机会、关系与代价。",
-      foot: `约 ${story.estimated_minutes} 分钟`,
-      action: story.available ? "开始人生 →" : "查看预告",
-      disabled: !story.available,
-      onClick: () => beginStory(story.slug),
-    })));
   } catch (error) {
-    root.textContent = error.message;
+    showToast(error.message);
   }
 }
 
+function renderRouteBadges() {
+  const flagship = state.stories.find((story) => story.kind === "flagship" && story.available);
+  const skillCount = state.stories.filter((story) => story.kind === "skill").length;
+  const alumniCount = $("#alumni-count");
+  alumniCount.textContent = skillCount > 0 ? `当前 ${skillCount} 个校友人生可体验` : "即将上线校友访谈";
+  if (flagship) {
+    const route = flagship.slug.includes("believer") ? "believer" : "believer";
+    const card = $(`.route-card[data-route="${route}"]`);
+    if (card) {
+      card.querySelector(".route-status").textContent = `可体验 · 约 ${flagship.estimated_minutes} 分钟`;
+    }
+  }
+}
+
+function renderSkillList() {
+  const root = $("#skill-list");
+  const skills = state.stories.filter((story) => story.kind === "skill");
+  if (skills.length === 0) {
+    root.classList.remove("loading");
+    root.textContent = "校友访谈即将上线，敬请期待。";
+    return;
+  }
+  root.classList.remove("loading");
+  root.replaceChildren(...skills.map((story) => {
+    const article = document.createElement("article");
+    article.className = "skill-card";
+    const header = document.createElement("div");
+    header.className = "skill-header";
+    const meta = document.createElement("span");
+    meta.className = "skill-meta";
+    meta.textContent = story.kind === "skill" ? "校友访谈" : "特别篇";
+    header.append(meta);
+    const body = document.createElement("div");
+    body.className = "skill-body";
+    const title = document.createElement("h3");
+    title.textContent = story.title;
+    const summary = document.createElement("p");
+    summary.textContent = story.summary || "在不完整信息中判断机会、关系与代价。";
+    const footer = document.createElement("footer");
+    const duration = document.createElement("span");
+    duration.textContent = `约 ${story.estimated_minutes} 分钟`;
+    const button = document.createElement("button");
+    button.textContent = story.available ? "开始人生 →" : "查看预告";
+    button.disabled = !story.available;
+    if (story.available) button.addEventListener("click", () => beginStory(story.slug));
+    footer.append(duration, button);
+    body.append(title, summary, footer);
+    article.append(header, body);
+    return article;
+  }));
+}
+
+function showLifeHub() {
+  $("#life-hub").classList.remove("hidden");
+  $("#life-skills").classList.add("hidden");
+}
+
+function showLifeSkills() {
+  $("#life-hub").classList.add("hidden");
+  $("#life-skills").classList.remove("hidden");
+  window.scrollTo({ top: 0, behavior: "smooth" });
+}
+
 async function beginStory(slug) {
   if (!requireAuth()) return;
   try {
     const run = await api(`math-life/stories/${slug}/start/`, { method: "POST", body: {} });
     renderStoryNode(run);
-    $("#experience-dialog").showModal();
+    $("#story-experience").classList.remove("hidden");
+    document.body.classList.add("story-open");
+    window.scrollTo({ top: 0 });
   } catch (error) {
     showToast(error.message);
   }
 }
 
+function closeStoryExperience() {
+  $("#story-experience").classList.add("hidden");
+  document.body.classList.remove("story-open");
+  navigate("life");
+}
+
+function renderStoryMarks(run) {
+  const collected = new Set(run.collection.map((mark) => mark.code));
+  const current = new Set(run.state.marks || []);
+  const labels = run.domain_labels || {};
+  const counts = $("#story-domain-counts");
+  counts.replaceChildren(
+    ...Object.entries(labels).map(([domain, label]) => {
+      const item = document.createElement("div");
+      const value = document.createElement("b");
+      value.textContent = run.state.mark_counts?.[domain] || 0;
+      const name = document.createElement("span");
+      name.textContent = label;
+      item.append(value, name);
+      return item;
+    })
+  );
+  const list = $("#story-mark-list");
+  list.replaceChildren(
+    ...run.mark_definitions.map((mark) => {
+      const item = document.createElement("span");
+      item.className = [
+        "story-mark",
+        collected.has(mark.code) ? "collected" : "",
+        current.has(mark.code) ? "current-run" : "",
+      ].filter(Boolean).join(" ");
+      item.dataset.domain = mark.domain;
+      item.textContent = mark.name;
+      item.title = `${labels[mark.domain] || mark.domain}印记`;
+      return item;
+    })
+  );
+}
+
 function renderStoryNode(run) {
-  const root = $("#experience-content");
+  const root = $("#story-experience-content");
   root.replaceChildren();
+  $("#story-experience-title").textContent = run.story;
+  const chapterNumber = run.chapter?.number || (run.status === "completed" ? 8 : 1);
+  $("#story-chapter-number").textContent = `第 ${chapterNumber} 章`;
+  $("#story-chapter-title").textContent = run.chapter?.title || "直博方向";
+  $("#story-chapter-progress").style.width = `${Math.min(100, chapterNumber / 8 * 100)}%`;
+  renderStoryMarks(run);
   const label = document.createElement("span");
   label.className = "kicker";
-  label.textContent = `${run.story} · ${run.current_node}`;
+  label.textContent = `CHAPTER ${String(chapterNumber).padStart(2, "0")} · ${run.current_node}`;
   const title = document.createElement("h2");
   title.textContent = run.node.character || "旁白";
   const scene = document.createElement("p");
@@ -179,13 +390,20 @@ function renderStoryNode(run) {
   const choices = document.createElement("div");
   choices.className = "choice-list";
   if (run.status === "completed") {
+    root.classList.add("completed");
     const ending = document.createElement("p");
-    ending.textContent = "这段人生已经抵达结局，路径已写入你的数学档案。";
+    ending.textContent = "统一直博的方向已经确定。这段人生、结局与全部印记已写入你的数学档案。";
-    choices.append(ending);
+    const back = document.createElement("button");
+    back.className = "primary-button";
+    back.textContent = "返回数学人生大厅";
+    back.addEventListener("click", closeStoryExperience);
+    choices.append(ending, back);
   } else {
+    root.classList.remove("completed");
     run.node.choices.forEach((choice) => {
       const button = document.createElement("button");
       button.textContent = choice.text;
+      if (choice.special) button.classList.add("story-special-choice");
       button.addEventListener("click", async () => {
         button.disabled = true;
         try {
@@ -292,12 +510,21 @@ async function loadContests() {
 
 function renderContests() {
   const root = $("#contest-list");
-  const contests = state.contests.filter((contest) => contest.track === state.track);
+  const contests = ["realtime", "daily", "practice"]
+    .map((kind) => {
+      const candidates = state.contests.filter((contest) => contest.kind === kind);
+      return (
+        candidates.find((contest) => contest.track === "open") ||
+        candidates.find((contest) => contest.track === "standard") ||
+        candidates[0]
+      );
+    })
+    .filter(Boolean);
   root.classList.remove("loading");
   root.replaceChildren(...contests.map((contest) => card({
     meta: contest.kind === "realtime" ? "实时竞技" : contest.kind === "daily" ? "今日挑战" : "自由练习",
-    title: contest.title,
+    title: contest.title.replace(/^(入门|标准|进阶)/, ""),
-    body: contest.kind === "realtime" ? "Rating 匹配，同题序列，服务端计时和唯一结算。" : "完成整组题目，正式答案只在提交后显示。",
+    body: contest.kind === "realtime" ? "统一玩家池，支持口算、数独与 24 点，服务端计时和 Rating 结算。" : "每次随机抽取题目，正式答案只在提交后显示。",
     foot: `${contest.duration_seconds} 秒`,
     action: contest.kind === "realtime" ? "开始匹配 →" : "开始答题 →",
     onClick: () => beginContest(contest),
@@ -308,12 +535,8 @@ async function beginContest(contest) {
   if (!requireAuth()) return;
   try {
     if (contest.kind === "realtime") {
-      const match = await api(`contests/${contest.slug}/matchmaking/`, { method: "POST", body: {} });
+      await window.HuluRealtime.startRandom(contest);
-      if (match.status === "waiting") {
+      return;
-        showToast("已进入匹配队列，等待同赛道对手");
-        return;
-      }
-      renderAttempt(match.attempt);
     } else {
       renderAttempt(await api(`contests/${contest.slug}/start/`, { method: "POST", body: {} }));
     }
@@ -379,27 +602,46 @@ function renderAttempt(attempt) {
   root.append(label, title, form);
 }
 
-function filterChip(label, value, type, active) {
+function filterOption(label, value, type, active) {
   const button = document.createElement("button");
-  button.className = `filter-chip${active ? " active" : ""}`;
+  button.className = `filter-option${active ? " active" : ""}`;
   button.textContent = label;
   button.dataset[type] = value;
+  button.setAttribute("role", "option");
   button.addEventListener("click", () => {
     if (type === "ability") state.videoAbility = value;
     if (type === "discipline") state.videoDiscipline = value;
     renderVideoFilters();
     renderVideos();
+    closeFilterDropdowns();
   });
   return button;
 }
 
+function closeFilterDropdowns() {
+  $$(".filter-dropdown-panel").forEach((panel) => panel.classList.add("hidden"));
+  $$(".filter-dropdown-toggle").forEach((toggle) => toggle.setAttribute("aria-expanded", "false"));
+}
+
+function toggleFilterDropdown(type) {
+  const panel = $(`#${type}-panel`);
+  const toggle = $(`#${type}-toggle`);
+  const isOpen = !panel.classList.contains("hidden");
+  closeFilterDropdowns();
+  if (!isOpen) {
+    panel.classList.remove("hidden");
+    toggle.setAttribute("aria-expanded", "true");
+  }
+}
+
 function renderVideoFilters() {
   if (!state.videoCatalog) return;
-  const abilityRoot = $("#ability-filters");
+
-  abilityRoot.replaceChildren(
+  const abilityPanel = $("#ability-panel");
-    filterChip(`全部 ${state.videoCatalog.total}`, "", "ability", !state.videoAbility),
+  abilityPanel.replaceChildren(
+    filterOption(`全部 ${state.videoCatalog.total}`, "", "ability", !state.videoAbility),
     ...state.videoCatalog.abilities.map((ability) =>
-      filterChip(
+      filterOption(
         `${ability.icon} ${ability.label} ${ability.count}`,
         ability.id,
         "ability",
@@ -407,11 +649,14 @@ function renderVideoFilters() {
       )
     ),
   );
-  const disciplineRoot = $("#discipline-filters");
+  const abilityLabel = state.videoCatalog.abilities.find((a) => a.id === state.videoAbility);
-  disciplineRoot.replaceChildren(
+  $("#ability-label").textContent = abilityLabel ? `${abilityLabel.icon} ${abilityLabel.label}` : "全部维度";
-    filterChip("全部专业", "", "discipline", !state.videoDiscipline),
+
+  const disciplinePanel = $("#discipline-panel");
+  disciplinePanel.replaceChildren(
+    filterOption("全部专业", "", "discipline", !state.videoDiscipline),
     ...state.videoCatalog.disciplines.map((discipline) =>
-      filterChip(
+      filterOption(
         `${discipline.icon || "∑"} ${discipline.name}`,
         discipline.name,
         "discipline",
@@ -419,11 +664,10 @@ function renderVideoFilters() {
       )
     ),
   );
+  const disciplineLabel = state.videoCatalog.disciplines.find((d) => d.name === state.videoDiscipline);
+  $("#discipline-label").textContent = disciplineLabel ? `${disciplineLabel.icon || "∑"} ${disciplineLabel.name}` : "全部专业";
 
-  const selected = state.videoCatalog.abilities.find(
+  $("#video-stream-title").textContent = abilityLabel ? `${abilityLabel.label}视频流` : "全部视频";
-    (item) => item.id === state.videoAbility
-  );
-  $("#video-stream-title").textContent = selected ? `${selected.label}视频流` : "全部视频";
   $$(".ability-node").forEach((node) => {
     node.classList.toggle("active", node.dataset.ability === state.videoAbility);
   });
@@ -638,6 +882,29 @@ async function loadProfile() {
       metrics.append(item);
     });
     root.append(heading, pet, metrics);
+    if (profile.story_marks?.length) {
+      const markTitle = document.createElement("h3");
+      markTitle.className = "profile-subtitle";
+      markTitle.textContent = `数学人生印记 · ${profile.story_marks.length} / 20`;
+      const markList = document.createElement("div");
+      markList.className = "profile-mark-list";
+      profile.story_marks.forEach((mark) => {
+        const item = document.createElement("span");
+        item.textContent = mark.name;
+        item.dataset.domain = mark.domain;
+        markList.append(item);
+      });
+      root.append(markTitle, markList);
+    }
+    if (profile.recent_matches?.length) {
+      const matchTitle = document.createElement("h3");
+      matchTitle.className = "profile-subtitle";
+      matchTitle.textContent = "最近实时对局";
+      const matchList = document.createElement("div");
+      matchList.className = "match-history-list";
+      renderMatchHistory(matchList, profile.recent_matches);
+      root.append(matchTitle, matchList);
+    }
     if (profile.recent_games?.length) {
       const gameTitle = document.createElement("h3");
       gameTitle.className = "profile-subtitle";
@@ -647,7 +914,7 @@ async function loadProfile() {
       profile.recent_games.forEach((game) => {
         const item = document.createElement("div");
         const name = document.createElement("b");
-        name.textContent = `${game.label} · ${game.difficulty}`;
+        name.textContent = game.label;
         const detail = document.createElement("span");
         detail.textContent =
           game.status === "completed"
@@ -663,6 +930,51 @@ async function loadProfile() {
   }
 }
 
+function renderMatchHistory(root, matches) {
+  root.replaceChildren(
+    ...matches.map((match) => {
+      const item = document.createElement("article");
+      item.className = `match-history-item result-${match.result}`;
+      const summary = document.createElement("div");
+      const title = document.createElement("b");
+      title.textContent = `${match.contest} · 对手 ${match.opponent}`;
+      const time = document.createElement("span");
+      time.textContent = new Date(match.completed_at).toLocaleString();
+      summary.append(title, time);
+      const result = document.createElement("div");
+      const resultLabel = document.createElement("strong");
+      resultLabel.textContent =
+        match.result === "win" ? "胜利" : match.result === "loss" ? "惜败" : "平局";
+      const delta = document.createElement("span");
+      const sign = match.rating_delta > 0 ? "+" : "";
+      delta.textContent = `Rating ${sign}${match.rating_delta} → ${match.rating_after}`;
+      result.append(resultLabel, delta);
+      item.append(summary, result);
+      return item;
+    })
+  );
+}
+
+async function loadHomeMatchHistory() {
+  const section = $("#home-match-history");
+  if (!state.user) {
+    section.hidden = true;
+    return;
+  }
+  try {
+    const profile = await api("progression/me/");
+    if (!profile.recent_matches?.length) {
+      section.hidden = true;
+      return;
+    }
+    renderMatchHistory($("#home-match-list"), profile.recent_matches);
+    section.hidden = false;
+  } catch (error) {
+    section.hidden = true;
+    if (![401, 403].includes(error.status)) console.warn(error);
+  }
+}
+
 const MATH_SYMBOLS = [
   ["∑", "求和", "一组数或表达式的总和", "\\sum"],
   ["∏", "连乘", "一组数或表达式的乘积", "\\prod"],
@@ -797,18 +1109,6 @@ function evaluateExpression(source, variables = {}) {
   return value;
 }
 
-function runCalculator() {
-  const input = $("#calc-input").value;
-  try {
-    const result = evaluateExpression(input);
-    $("#calc-history").textContent = input;
-    $("#calc-output").textContent = Number(result.toPrecision(12)).toString();
-  } catch (error) {
-    $("#calc-history").textContent = error.message;
-    $("#calc-output").textContent = "错误";
-  }
-}
-
 function renderSymbols(query = "") {
   const keyword = query.trim().toLowerCase();
   const matches = MATH_SYMBOLS.filter((symbol) =>
@@ -840,70 +1140,7 @@ function renderSymbols(query = "") {
   );
 }
 
-function drawGraph() {
-  const canvas = $("#graph-canvas");
-  const context = canvas.getContext("2d");
-  const expression = $("#graph-expression").value;
-  const range = Number($("#graph-range").value);
-  const width = canvas.width;
-  const height = canvas.height;
-  $("#graph-range-label").textContent = `−${range} 到 ${range}`;
-  $("#graph-error").textContent = "";
-  context.clearRect(0, 0, width, height);
-  context.fillStyle = "#fbfbf7";
-  context.fillRect(0, 0, width, height);
-
-  const toX = (x) => ((x + range) / (range * 2)) * width;
-  const toY = (y) => height / 2 - (y / range) * (height / 2);
-  context.strokeStyle = "#e4e5df";
-  context.lineWidth = 1;
-  for (let value = -range; value <= range; value += 1) {
-    context.beginPath();
-    context.moveTo(toX(value), 0);
-    context.lineTo(toX(value), height);
-    context.stroke();
-    context.beginPath();
-    context.moveTo(0, toY(value));
-    context.lineTo(width, toY(value));
-    context.stroke();
-  }
-  context.strokeStyle = "#718078";
-  context.lineWidth = 2;
-  context.beginPath();
-  context.moveTo(0, height / 2);
-  context.lineTo(width, height / 2);
-  context.moveTo(width / 2, 0);
-  context.lineTo(width / 2, height);
-  context.stroke();
-
-  context.strokeStyle = "#196548";
-  context.lineWidth = 3;
-  context.beginPath();
-  let drawing = false;
-  try {
-    for (let pixel = 0; pixel <= width; pixel += 2) {
-      const x = (pixel / width) * range * 2 - range;
-      const y = evaluateExpression(expression, { x });
-      const screenY = toY(y);
-      if (screenY < -height * 2 || screenY > height * 3) {
-        drawing = false;
-        continue;
-      }
-      if (!drawing) context.moveTo(pixel, screenY);
-      else context.lineTo(pixel, screenY);
-      drawing = true;
-    }
-    context.stroke();
-  } catch (error) {
-    $("#graph-error").textContent = error.message;
-  }
-}
-
 function switchTool(tool) {
-  if (tool === "mental") {
-    navigate("contest");
-    return;
-  }
   $$(".tool-card").forEach((card) => {
     card.classList.toggle("active", card.dataset.tool === tool);
   });
@@ -913,12 +1150,52 @@ function switchTool(tool) {
   window.HuluToolbox?.activate(tool);
 }
 
+function normalizeLatexSource(source) {
+  let normalized = String(source || "").trim();
+  if (normalized.startsWith("$$") && normalized.endsWith("$$")) {
+    normalized = normalized.slice(2, -2).trim();
+  } else if (normalized.startsWith("\\[") && normalized.endsWith("\\]")) {
+    normalized = normalized.slice(2, -2).trim();
+  } else if (normalized.startsWith("$") && normalized.endsWith("$")) {
+    normalized = normalized.slice(1, -1).trim();
+  }
+  return normalized.replace(/\\\\(?=[A-Za-z,;:!])/g, "\\");
+}
+
+function renderLatexPreview(source) {
+  const target = $("#latex-preview");
+  target.replaceChildren();
+  target.classList.remove("latex-preview-error");
+  const normalized = normalizeLatexSource(source);
+  if (!normalized) return;
+  if (typeof globalThis.katex?.render !== "function") {
+    target.classList.add("latex-preview-error");
+    target.textContent = "公式渲染组件加载失败，请刷新页面后重试。";
+    return;
+  }
+  try {
+    globalThis.katex.render(normalized, target, {
+      displayMode: true,
+      throwOnError: true,
+      trust: false,
+      maxExpand: 500,
+      maxSize: 20,
+    });
+  } catch (error) {
+    target.classList.add("latex-preview-error");
+    target.textContent = `公式语法错误：${error.message}`;
+  }
+}
+
 async function saveFormula() {
   if (!requireAuth()) return;
   try {
     await api("latex/documents/", {
       method: "POST",
-      body: { title: `公式 ${new Date().toLocaleString()}`, source: $("#latex-source").value },
+      body: {
+        title: `公式 ${new Date().toLocaleString()}`,
+        source: normalizeLatexSource($("#latex-source").value),
+      },
     });
     showToast("公式及首个版本已保存");
   } catch (error) {
@@ -931,14 +1208,42 @@ function bindUI() {
   $$("[data-jump]").forEach((button) => button.addEventListener("click", () => navigate(button.dataset.jump)));
   $$("[data-open-auth]").forEach((button) => button.addEventListener("click", openAuth));
   $("#start-mathbti").addEventListener("click", startMathBTI);
+  $("#wechat-copy").addEventListener("click", copyWechatName);
+  $("#story-experience-close").addEventListener("click", closeStoryExperience);
   $("#save-formula").addEventListener("click", saveFormula);
-  $("#latex-source").addEventListener("input", (event) => { $("#latex-preview").textContent = event.target.value; });
+  $("#latex-source").addEventListener("input", (event) => { renderLatexPreview(event.target.value); });
   $$(".tool-card").forEach((button) => {
     button.addEventListener("click", () => switchTool(button.dataset.tool));
   });
   $("#symbol-search").addEventListener("input", (event) => {
     renderSymbols(event.target.value);
   });
+  $("#enter-alumni").addEventListener("click", showLifeSkills);
+  $("#back-to-hub").addEventListener("click", showLifeHub);
+  $("#ability-toggle").addEventListener("click", () => toggleFilterDropdown("ability"));
+  $("#discipline-toggle").addEventListener("click", () => toggleFilterDropdown("discipline"));
+  document.addEventListener("click", (event) => {
+    if (!event.target.closest(".filter-dropdown")) closeFilterDropdowns();
+  });
+  $$(".route-card").forEach((card) => {
+    card.addEventListener("click", (event) => {
+      if (event.target.closest(".route-enter")) return;
+      const route = card.dataset.route;
+      const flagship = state.stories.find(
+        (story) => story.kind === "flagship" && story.available && story.slug.includes(route),
+      );
+      if (flagship) beginStory(flagship.slug);
+      else showToast(`${card.querySelector(".route-spirit b").textContent}人生即将开放`);
+    });
+    card.querySelector(".route-enter").addEventListener("click", () => {
+      const route = card.dataset.route;
+      const flagship = state.stories.find(
+        (story) => story.kind === "flagship" && story.available && story.slug.includes(route),
+      );
+      if (flagship) beginStory(flagship.slug);
+      else showToast(`${card.querySelector(".route-spirit b").textContent}人生即将开放`);
+    });
+  });
   $$(".ability-node").forEach((button) => {
     button.addEventListener("click", () => {
       state.videoAbility =
@@ -951,8 +1256,10 @@ function bindUI() {
   $("#auth-button").addEventListener("click", async () => {
     if (!state.user) return openAuth();
     await api("accounts/logout/", { method: "POST", body: {} });
+    window.HuluRealtime?.reset();
     state.user = null;
     updateUserUI();
+    if ($("#view-profile").classList.contains("active")) await loadProfile();
     showToast("已退出登录");
   });
   $$("dialog .dialog-close").forEach((button) => button.addEventListener("click", () => button.closest("dialog").close()));
@@ -962,10 +1269,13 @@ function bindUI() {
     $("#register-form").classList.toggle("hidden", button.dataset.authTab !== "register");
     $("#auth-error").textContent = "";
   }));
-  $$("#track-switch button").forEach((button) => button.addEventListener("click", () => {
+  $$("#match-mode-switch button").forEach((button) => button.addEventListener("click", () => {
-    state.track = button.dataset.track;
+    state.matchMode = button.dataset.matchMode;
-    $$("#track-switch button").forEach((item) => item.classList.toggle("active", item === button));
+    $$("#match-mode-switch button").forEach((item) => {
-    renderContests();
+      item.classList.toggle("active", item === button);
+    });
+    const label = button.querySelector("b").textContent;
+    $("#challenge-create").textContent = `创建${label}约战`;
   }));
   $("#login-form").addEventListener("submit", async (event) => {
     event.preventDefault();
@@ -973,7 +1283,11 @@ function bindUI() {
       state.user = await api("accounts/login/", { method: "POST", body: Object.fromEntries(new FormData(event.target)) });
       $("#auth-dialog").close();
       updateUserUI();
-      await loadContent();
+      await Promise.all([
+        loadContent(),
+        loadHomeMatchHistory(),
+        $("#view-profile").classList.contains("active") ? loadProfile() : null,
+      ]);
       showToast("登录成功");
     } catch (error) {
       $("#auth-error").textContent = error.message;
@@ -985,7 +1299,11 @@ function bindUI() {
       state.user = await api("accounts/register/", { method: "POST", body: Object.fromEntries(new FormData(event.target)) });
       $("#auth-dialog").close();
       updateUserUI();
-      await loadContent();
+      await Promise.all([
+        loadContent(),
+        loadHomeMatchHistory(),
+        $("#view-profile").classList.contains("active") ? loadProfile() : null,
+      ]);
       showToast("账号和数学档案已建立");
     } catch (error) {
       $("#auth-error").textContent = error.message;
@@ -995,7 +1313,9 @@ function bindUI() {
 
 async function boot() {
   bindUI();
+  renderRouteMathematicians();
   window.HuluToolbox?.init();
+  window.HuluRealtime?.init();
   renderSymbols();
   await Promise.all([
     loadUser(),
@@ -1004,6 +1324,7 @@ async function boot() {
     loadContent(),
     window.HuluGames?.load(),
   ]);
+  renderLatexPreview($("#latex-source").value);
 }
 
 boot();

backend/static/js/games.js

@@ -14,23 +14,6 @@
     },
   };
 
-  function difficultySelect() {
-    const select = document.createElement("select");
-    select.className = "game-difficulty";
-    [
-      ["easy", "入门"],
-      ["standard", "标准"],
-      ["hard", "进阶"],
-    ].forEach(([value, label]) => {
-      const option = document.createElement("option");
-      option.value = value;
-      option.textContent = label;
-      if (value === "standard") option.selected = true;
-      select.append(option);
-    });
-    return select;
-  }
-
   function gameCard(game) {
     const meta = GAME_META[game.kind];
     const article = document.createElement("article");
@@ -50,12 +33,11 @@
     summary.textContent = game.summary;
     const controls = document.createElement("div");
     controls.className = "game-card-controls";
-    const difficulty = difficultySelect();
     const start = document.createElement("button");
     start.className = "primary-button";
     start.textContent = meta.action;
-    start.addEventListener("click", () => startGame(game.kind, difficulty.value));
+    start.addEventListener("click", () => startGame(game.kind));
-    controls.append(difficulty, start);
+    controls.append(start);
     article.append(top, kicker, title, summary, controls);
     return article;
   }
@@ -70,12 +52,12 @@
     }
   }
 
-  async function startGame(kind, difficulty) {
+  async function startGame(kind) {
     if (!requireAuth()) return;
     try {
       const attempt = await api(`contests/games/${kind}/start/`, {
         method: "POST",
-        body: { difficulty },
+        body: {},
       });
       renderGame(attempt);
       $game("#experience-dialog").showModal();
@@ -88,8 +70,7 @@
     const fragment = document.createDocumentFragment();
     const label = document.createElement("span");
     label.className = "kicker";
-    label.textContent =
+    label.textContent = GAME_META[attempt.kind].kicker;
-      `${GAME_META[attempt.kind].kicker} · ${attempt.difficulty.toUpperCase()}`;
     const title = document.createElement("h2");
     title.textContent = GAME_META[attempt.kind].title;
     fragment.append(label, title);
@@ -143,6 +124,13 @@
     input.placeholder = "例如：6 / (1 - 3 / 4)";
     input.autocomplete = "off";
     input.inputMode = "text";
+    input.spellcheck = false;
+    const errorMessage = document.createElement("p");
+    errorMessage.className = "form-error game-form-error";
+    errorMessage.setAttribute("role", "alert");
+    input.addEventListener("input", () => {
+      errorMessage.textContent = "";
+    });
     const keypad = document.createElement("div");
     keypad.className = "game-keypad";
     ["+", "-", "*", "/", "(", ")"].forEach((operator) => {
@@ -159,10 +147,11 @@
     submit.className = "primary-button";
     submit.type = "submit";
     submit.textContent = "验证并计分";
-    form.append(input, keypad, submit);
+    form.append(input, keypad, errorMessage, submit);
     form.addEventListener("submit", async (event) => {
       event.preventDefault();
       submit.disabled = true;
+      errorMessage.textContent = "";
       try {
         const result = await api(
           `contests/games/attempts/${attempt.attempt_id}/submit/`,
@@ -175,6 +164,7 @@
         renderTwentyFour(result);
         showToast("得到 24，成绩已记录");
       } catch (error) {
+        errorMessage.textContent = error.message;
         showToast(error.message);
         submit.disabled = false;
       }

backend/static/js/graph.js

@@ -0,0 +1,525 @@
+(function () {
+  const $graph = (selector, root = document) => root.querySelector(selector);
+  const COLORS = [
+    "#196548",
+    "#d86f45",
+    "#5d73e8",
+    "#8667b5",
+    "#c44f83",
+    "#198b9a",
+    "#b07b24",
+    "#3d4852",
+  ];
+  const graph = {
+    functions: [],
+    nextId: 1,
+    viewport: { xMin: -10, xMax: 10, yMin: -6, yMax: 6 },
+    dragging: null,
+    frame: null,
+    initialized: false,
+    observer: null,
+  };
+
+  function schedule() {
+    if (graph.frame) window.cancelAnimationFrame(graph.frame);
+    graph.frame = window.requestAnimationFrame(() => {
+      graph.frame = null;
+      draw();
+    });
+  }
+
+  function activeFunctions() {
+    return graph.functions.filter(
+      (item) => item.visible && item.expression.trim(),
+    );
+  }
+
+  function addFunction(expression = "", color) {
+    if (graph.functions.length >= 8) {
+      showToast("最多同时绘制 8 条曲线");
+      return;
+    }
+    graph.functions.push({
+      id: graph.nextId,
+      expression,
+      color: color || COLORS[(graph.nextId - 1) % COLORS.length],
+      visible: true,
+    });
+    graph.nextId += 1;
+    renderFunctionList();
+    schedule();
+  }
+
+  function renderFunctionList() {
+    const root = $graph("#graph-function-list");
+    root.replaceChildren(
+      ...graph.functions.map((item, index) => {
+        const row = document.createElement("div");
+        row.className = "graph-function-row";
+        const visible = document.createElement("input");
+        visible.type = "checkbox";
+        visible.checked = item.visible;
+        visible.setAttribute("aria-label", `显示曲线 ${index + 1}`);
+        visible.addEventListener("change", () => {
+          item.visible = visible.checked;
+          schedule();
+        });
+        const color = document.createElement("input");
+        color.type = "color";
+        color.value = item.color;
+        color.setAttribute("aria-label", `曲线 ${index + 1} 颜色`);
+        color.addEventListener("input", () => {
+          item.color = color.value;
+          schedule();
+        });
+        const prefix = document.createElement("span");
+        prefix.textContent = `f${index + 1}(x)`;
+        const input = document.createElement("input");
+        input.className = "formula-input";
+        input.value = item.expression;
+        input.placeholder = "例如 sin(x)";
+        input.setAttribute("aria-label", `函数 ${index + 1}`);
+        input.addEventListener("input", () => {
+          item.expression = input.value;
+          schedule();
+        });
+        const remove = document.createElement("button");
+        remove.type = "button";
+        remove.textContent = "×";
+        remove.title = "删除曲线";
+        remove.disabled = graph.functions.length === 1;
+        remove.addEventListener("click", () => {
+          graph.functions = graph.functions.filter(
+            (candidate) => candidate.id !== item.id,
+          );
+          renderFunctionList();
+          schedule();
+        });
+        row.append(visible, color, prefix, input, remove);
+        return row;
+      }),
+    );
+  }
+
+  function readViewport() {
+    const viewport = {
+      xMin: Number($graph("#graph-x-min").value),
+      xMax: Number($graph("#graph-x-max").value),
+      yMin: Number($graph("#graph-y-min").value),
+      yMax: Number($graph("#graph-y-max").value),
+    };
+    if (
+      !Object.values(viewport).every(Number.isFinite) ||
+      viewport.xMin >= viewport.xMax ||
+      viewport.yMin >= viewport.yMax ||
+      viewport.xMax - viewport.xMin > 1_000_000 ||
+      viewport.yMax - viewport.yMin > 1_000_000
+    ) {
+      throw new Error("坐标范围必须有限、最小值小于最大值，跨度不超过 1,000,000");
+    }
+    return viewport;
+  }
+
+  function writeViewport(viewport = graph.viewport) {
+    $graph("#graph-x-min").value = Number(viewport.xMin.toPrecision(8));
+    $graph("#graph-x-max").value = Number(viewport.xMax.toPrecision(8));
+    $graph("#graph-y-min").value = Number(viewport.yMin.toPrecision(8));
+    $graph("#graph-y-max").value = Number(viewport.yMax.toPrecision(8));
+  }
+
+  function sampleFunction(item, viewport, count) {
+    const parameter = Number($graph("#graph-parameter").value);
+    const samples = [];
+    let lastError = null;
+    for (let index = 0; index <= count; index += 1) {
+      const x =
+        viewport.xMin +
+        (index / count) * (viewport.xMax - viewport.xMin);
+      let y = Number.NaN;
+      try {
+        y = evaluateExpression(item.expression, { x, a: parameter });
+      } catch (error) {
+        lastError = error;
+      }
+      samples.push({ x, y: Number.isFinite(y) ? y : Number.NaN });
+    }
+    if (!samples.some((point) => Number.isFinite(point.y))) {
+      throw lastError || new Error(`函数 ${item.expression} 在当前视窗没有有效值`);
+    }
+    return samples;
+  }
+
+  function autoY(functions, viewport) {
+    const values = functions
+      .flatMap((item) => sampleFunction(item, viewport, 500))
+      .map((item) => item.y)
+      .filter(Number.isFinite)
+      .sort((left, right) => left - right);
+    if (!values.length) return { ...viewport, yMin: -6, yMax: 6 };
+    const low = values[Math.floor(values.length * 0.02)];
+    const high = values[Math.min(values.length - 1, Math.ceil(values.length * 0.98))];
+    const span = Math.max(high - low, Math.abs(high) * 0.1, 2);
+    return {
+      ...viewport,
+      yMin: low - span * 0.12,
+      yMax: high + span * 0.12,
+    };
+  }
+
+  function niceStep(span, target = 9) {
+    const rough = span / target;
+    const power = 10 ** Math.floor(Math.log10(rough));
+    const fraction = rough / power;
+    return (fraction <= 1 ? 1 : fraction <= 2 ? 2 : fraction <= 5 ? 5 : 10) * power;
+  }
+
+  function tickLabel(value, step) {
+    if (Math.abs(value) < step * 0.001) return "0";
+    if (Math.abs(value) >= 10000 || Math.abs(value) < 0.001) {
+      return value.toExponential(1);
+    }
+    return value.toFixed(Math.min(6, Math.max(0, -Math.floor(Math.log10(step)))));
+  }
+
+  function canvasSize() {
+    const canvas = $graph("#graph-canvas");
+    const rect = canvas.getBoundingClientRect();
+    const ratio = Math.min(window.devicePixelRatio || 1, 2);
+    const width = Math.max(320, Math.round(rect.width));
+    const height = Math.max(320, Math.round(rect.height));
+    if (
+      canvas.width !== Math.round(width * ratio) ||
+      canvas.height !== Math.round(height * ratio)
+    ) {
+      canvas.width = Math.round(width * ratio);
+      canvas.height = Math.round(height * ratio);
+    }
+    const context = canvas.getContext("2d");
+    context.setTransform(ratio, 0, 0, ratio, 0, 0);
+    return { context, width, height };
+  }
+
+  function drawGrid(context, viewport, width, height, toX, toY) {
+    context.fillStyle = "#fcfcf8";
+    context.fillRect(0, 0, width, height);
+    if (!$graph("#graph-grid").checked) return;
+    const xStep = niceStep(viewport.xMax - viewport.xMin);
+    const yStep = niceStep(viewport.yMax - viewport.yMin);
+    context.font = "11px system-ui, sans-serif";
+    context.lineWidth = 1;
+    context.strokeStyle = "#e1e6e0";
+    context.fillStyle = "#6d796f";
+    context.textAlign = "center";
+    context.textBaseline = "top";
+    for (
+      let value = Math.ceil(viewport.xMin / xStep) * xStep;
+      value <= viewport.xMax + xStep * 0.001;
+      value += xStep
+    ) {
+      const x = toX(value);
+      context.beginPath();
+      context.moveTo(x, 0);
+      context.lineTo(x, height);
+      context.stroke();
+      const labelY =
+        viewport.yMin <= 0 && viewport.yMax >= 0
+          ? Math.min(height - 18, Math.max(4, toY(0) + 6))
+          : height - 18;
+      context.fillText(tickLabel(value, xStep), x, labelY);
+    }
+    context.textAlign = "left";
+    context.textBaseline = "middle";
+    for (
+      let value = Math.ceil(viewport.yMin / yStep) * yStep;
+      value <= viewport.yMax + yStep * 0.001;
+      value += yStep
+    ) {
+      const y = toY(value);
+      context.beginPath();
+      context.moveTo(0, y);
+      context.lineTo(width, y);
+      context.stroke();
+      const labelX =
+        viewport.xMin <= 0 && viewport.xMax >= 0
+          ? Math.min(width - 50, Math.max(6, toX(0) + 7))
+          : 7;
+      context.fillText(tickLabel(value, yStep), labelX, y);
+    }
+  }
+
+  function drawAxes(context, viewport, width, height, toX, toY) {
+    context.strokeStyle = "#263b30";
+    context.fillStyle = "#263b30";
+    context.lineWidth = 2;
+    context.beginPath();
+    if (viewport.yMin <= 0 && viewport.yMax >= 0) {
+      const y = toY(0);
+      context.moveTo(0, y);
+      context.lineTo(width, y);
+      context.moveTo(width - 9, y - 5);
+      context.lineTo(width, y);
+      context.lineTo(width - 9, y + 5);
+    }
+    if (viewport.xMin <= 0 && viewport.xMax >= 0) {
+      const x = toX(0);
+      context.moveTo(x, height);
+      context.lineTo(x, 0);
+      context.moveTo(x - 5, 9);
+      context.lineTo(x, 0);
+      context.lineTo(x + 5, 9);
+    }
+    context.stroke();
+    context.font = "700 12px system-ui, sans-serif";
+    context.fillText("x", width - 16, Math.min(height - 16, Math.max(14, toY(0) - 15)));
+    context.fillText("y", Math.min(width - 18, Math.max(10, toX(0) + 10)), 14);
+  }
+
+  function drawPath(context, samples, color, viewport, toX, toY) {
+    const ySpan = viewport.yMax - viewport.yMin;
+    context.strokeStyle = color;
+    context.lineWidth = 2.6;
+    context.lineJoin = "round";
+    context.beginPath();
+    let drawing = false;
+    let previous;
+    samples.forEach((item) => {
+      const discontinuity =
+        previous &&
+        Number.isFinite(previous.y) &&
+        Number.isFinite(item.y) &&
+        Math.abs(item.y - previous.y) > ySpan * 3;
+      if (
+        !Number.isFinite(item.y) ||
+        item.y < viewport.yMin - ySpan ||
+        item.y > viewport.yMax + ySpan ||
+        discontinuity
+      ) {
+        drawing = false;
+      } else if (!drawing) {
+        context.moveTo(toX(item.x), toY(item.y));
+        drawing = true;
+      } else {
+        context.lineTo(toX(item.x), toY(item.y));
+      }
+      previous = item;
+    });
+    context.stroke();
+  }
+
+  function analyze(samples, xSpan) {
+    const roots = [];
+    let extrema = 0;
+    for (let index = 1; index < samples.length; index += 1) {
+      const before = samples[index - 1];
+      const current = samples[index];
+      if (!Number.isFinite(before.y) || !Number.isFinite(current.y)) continue;
+      if (before.y === 0 || before.y * current.y < 0) {
+        const root = (before.x + current.x) / 2;
+        if (!roots.length || Math.abs(root - roots.at(-1)) > xSpan / 300) {
+          roots.push(root);
+        }
+      }
+      if (index > 1) {
+        const older = samples[index - 2];
+        if (!Number.isFinite(older.y)) continue;
+        if ((before.y - older.y) * (current.y - before.y) < 0) extrema += 1;
+      }
+    }
+    return { roots: roots.slice(0, 8), extrema };
+  }
+
+  function renderLegend(functions) {
+    $graph("#graph-legend").replaceChildren(
+      ...functions.map((item) => {
+        const badge = document.createElement("span");
+        const dot = document.createElement("i");
+        dot.style.background = item.color;
+        badge.append(dot, document.createTextNode(item.expression));
+        return badge;
+      }),
+    );
+  }
+
+  function draw() {
+    const canvas = $graph("#graph-canvas");
+    if (!canvas) return;
+    const functions = activeFunctions();
+    const { context, width, height } = canvasSize();
+    $graph("#graph-error").textContent = "";
+    $graph("#graph-parameter-label").textContent =
+      Number($graph("#graph-parameter").value).toFixed(1);
+    try {
+      let viewport = readViewport();
+      if ($graph("#graph-auto-y").checked && functions.length) {
+        viewport = autoY(functions, viewport);
+        $graph("#graph-y-min").value = Number(viewport.yMin.toPrecision(7));
+        $graph("#graph-y-max").value = Number(viewport.yMax.toPrecision(7));
+      }
+      graph.viewport = viewport;
+      const toX = (x) =>
+        ((x - viewport.xMin) / (viewport.xMax - viewport.xMin)) * width;
+      const toY = (y) =>
+        height - ((y - viewport.yMin) / (viewport.yMax - viewport.yMin)) * height;
+      drawGrid(context, viewport, width, height, toX, toY);
+      drawAxes(context, viewport, width, height, toX, toY);
+      if (!functions.length) {
+        $graph("#graph-error").textContent = "请至少输入并启用一个函数";
+        renderLegend([]);
+        return;
+      }
+      const count = Math.max(500, Math.min(1600, Math.round(width * 1.5)));
+      const sampled = functions.map((item) => ({
+        item,
+        samples: sampleFunction(item, viewport, count),
+      }));
+      const first = sampled[0].samples;
+      if ($graph("#graph-integral").checked) {
+        context.fillStyle = `${functions[0].color}22`;
+        context.beginPath();
+        context.moveTo(toX(viewport.xMin), toY(0));
+        first.forEach((point) => {
+          if (Number.isFinite(point.y)) context.lineTo(toX(point.x), toY(point.y));
+        });
+        context.lineTo(toX(viewport.xMax), toY(0));
+        context.closePath();
+        context.fill();
+      }
+      sampled.forEach(({ item, samples }) => {
+        drawPath(context, samples, item.color, viewport, toX, toY);
+      });
+      if ($graph("#graph-derivative").checked) {
+        const derivative = first.slice(1, -1).map((point, index) => {
+          const before = first[index];
+          const after = first[index + 2];
+          return { x: point.x, y: (after.y - before.y) / (after.x - before.x) };
+        });
+        context.setLineDash([8, 6]);
+        drawPath(context, derivative, "#111827", viewport, toX, toY);
+        context.setLineDash([]);
+      }
+      const analysis = analyze(first, viewport.xMax - viewport.xMin);
+      const rootText = analysis.roots.length
+        ? analysis.roots.map((item) => item.toPrecision(4)).join("、")
+        : "当前视窗未发现";
+      $graph("#graph-analysis").textContent =
+        `第一条曲线：近似零点 ${rootText}；检测到 ${analysis.extrema} 个极值转折。`;
+      renderLegend(functions);
+    } catch (error) {
+      context.clearRect(0, 0, width, height);
+      $graph("#graph-error").textContent = error.message;
+    }
+  }
+
+  function setViewport(viewport, disableAutoY = true) {
+    graph.viewport = viewport;
+    if (disableAutoY) $graph("#graph-auto-y").checked = false;
+    writeViewport(viewport);
+    schedule();
+  }
+
+  function resetViewport() {
+    $graph("#graph-auto-y").checked = true;
+    setViewport({ xMin: -10, xMax: 10, yMin: -6, yMax: 6 }, false);
+  }
+
+  function autoFit() {
+    $graph("#graph-auto-y").checked = true;
+    schedule();
+  }
+
+  function bindCanvasNavigation() {
+    const canvas = $graph("#graph-canvas");
+    canvas.addEventListener("pointerdown", (event) => {
+      if (event.button !== 0) return;
+      graph.dragging = {
+        x: event.clientX,
+        y: event.clientY,
+        viewport: { ...graph.viewport },
+      };
+      canvas.setPointerCapture(event.pointerId);
+      canvas.classList.add("dragging");
+    });
+    canvas.addEventListener("pointermove", (event) => {
+      if (!graph.dragging) return;
+      const rect = canvas.getBoundingClientRect();
+      const start = graph.dragging;
+      const dx =
+        ((event.clientX - start.x) / rect.width) *
+        (start.viewport.xMax - start.viewport.xMin);
+      const dy =
+        ((event.clientY - start.y) / rect.height) *
+        (start.viewport.yMax - start.viewport.yMin);
+      setViewport({
+        xMin: start.viewport.xMin - dx,
+        xMax: start.viewport.xMax - dx,
+        yMin: start.viewport.yMin + dy,
+        yMax: start.viewport.yMax + dy,
+      });
+    });
+    const stopDragging = () => {
+      graph.dragging = null;
+      canvas.classList.remove("dragging");
+    };
+    canvas.addEventListener("pointerup", stopDragging);
+    canvas.addEventListener("pointercancel", stopDragging);
+    canvas.addEventListener(
+      "wheel",
+      (event) => {
+        event.preventDefault();
+        const rect = canvas.getBoundingClientRect();
+        const viewport = graph.viewport;
+        const xRatio = (event.clientX - rect.left) / rect.width;
+        const yRatio = 1 - (event.clientY - rect.top) / rect.height;
+        const centerX = viewport.xMin + xRatio * (viewport.xMax - viewport.xMin);
+        const centerY = viewport.yMin + yRatio * (viewport.yMax - viewport.yMin);
+        const factor = event.deltaY > 0 ? 1.14 : 0.88;
+        setViewport({
+          xMin: centerX + (viewport.xMin - centerX) * factor,
+          xMax: centerX + (viewport.xMax - centerX) * factor,
+          yMin: centerY + (viewport.yMin - centerY) * factor,
+          yMax: centerY + (viewport.yMax - centerY) * factor,
+        });
+      },
+      { passive: false },
+    );
+    canvas.addEventListener("dblclick", autoFit);
+  }
+
+  function init() {
+    if (graph.initialized) return;
+    graph.initialized = true;
+    addFunction("sin(x) + a*x/3", COLORS[0]);
+    addFunction("0.08*x^2 - 2", COLORS[1]);
+    $graph("#graph-add-function").addEventListener("click", () => addFunction());
+    $graph("#graph-run").addEventListener("click", draw);
+    $graph("#graph-auto-fit").addEventListener("click", autoFit);
+    $graph("#graph-reset-view").addEventListener("click", resetViewport);
+    [
+      "#graph-parameter",
+      "#graph-x-min",
+      "#graph-x-max",
+      "#graph-auto-y",
+      "#graph-grid",
+      "#graph-derivative",
+      "#graph-integral",
+    ].forEach((selector) => {
+      $graph(selector).addEventListener("input", schedule);
+    });
+    ["#graph-y-min", "#graph-y-max"].forEach((selector) => {
+      $graph(selector).addEventListener("input", () => {
+        $graph("#graph-auto-y").checked = false;
+        schedule();
+      });
+    });
+    bindCanvasNavigation();
+    if ("ResizeObserver" in window) {
+      graph.observer = new ResizeObserver(schedule);
+      graph.observer.observe($graph(".graph-stage"));
+    } else {
+      window.addEventListener("resize", schedule);
+    }
+    schedule();
+  }
+
+  window.HuluGraph = { init, draw, resize: schedule, addFunction };
+})();

backend/static/js/realtime.js

@@ -0,0 +1,617 @@
+(function () {
+  const realtime = {
+    match: null,
+    socket: null,
+    pollTimer: null,
+    clockTimer: null,
+    opponentProgress: 0,
+    reconnectTimer: null,
+  };
+  const GAME_LABELS = {
+    quiz: "口算竞速",
+    sudoku: "数独 Timerun",
+    twenty_four: "24 点竞速",
+  };
+
+  function stopTimers() {
+    if (realtime.pollTimer) window.clearInterval(realtime.pollTimer);
+    if (realtime.clockTimer) window.clearInterval(realtime.clockTimer);
+    realtime.pollTimer = null;
+    realtime.clockTimer = null;
+  }
+
+  function closeSocket() {
+    if (realtime.reconnectTimer) window.clearTimeout(realtime.reconnectTimer);
+    realtime.reconnectTimer = null;
+    if (realtime.socket) {
+      realtime.socket.onclose = null;
+      realtime.socket.close();
+    }
+    realtime.socket = null;
+  }
+
+  function websocketUrl(path) {
+    const protocol = window.location.protocol === "https:" ? "wss:" : "ws:";
+    return `${protocol}//${window.location.host}${path}`;
+  }
+
+  function connectSocket() {
+    closeSocket();
+    if (!realtime.match?.websocket_path) return;
+    const socket = new WebSocket(websocketUrl(realtime.match.websocket_path));
+    realtime.socket = socket;
+    socket.addEventListener("open", () => {
+      updateConnectionStatus("实时连接已建立");
+      socket.send(JSON.stringify({ type: "ping" }));
+    });
+    socket.addEventListener("message", async (event) => {
+      let message;
+      try {
+        message = JSON.parse(event.data);
+      } catch {
+        return;
+      }
+      if (message.type === "state") {
+        await refreshMatch();
+      } else if (
+        message.type === "progress" &&
+        message.user_id !== String(state.user?.id)
+      ) {
+        realtime.opponentProgress = message.answered_count;
+        updateProgressUI();
+      }
+    });
+    socket.addEventListener("close", () => {
+      updateConnectionStatus("实时连接中断，正在使用轮询");
+      if (["waiting", "active"].includes(realtime.match?.status)) {
+        realtime.reconnectTimer = window.setTimeout(connectSocket, 2000);
+      }
+    });
+    socket.addEventListener("error", () => {
+      updateConnectionStatus("WebSocket 不可用，轮询仍在工作");
+    });
+  }
+
+  function updateConnectionStatus(message) {
+    const node = document.querySelector("#realtime-connection");
+    if (node) node.textContent = message;
+  }
+
+  async function refreshMatch() {
+    if (!realtime.match?.match_id) return;
+    try {
+      const match = await api(`contests/matches/${realtime.match.match_id}/`);
+      const previous = realtime.match;
+      const previousStatus = previous.status;
+      realtime.match = match;
+      const shouldRender =
+        previous.status !== match.status ||
+        previous.attempt?.status !== match.attempt?.status;
+      if (shouldRender) renderMatch();
+      else {
+        updateClock();
+        if (
+          previous.opponent?.status !== match.opponent?.status &&
+          match.opponent?.status &&
+          match.opponent.status !== "active"
+        ) {
+          realtime.opponentProgress = matchProgressTotal(match);
+          updateProgressUI();
+          updateConnectionStatus("对手已提交，完成后将立即结算");
+        }
+      }
+      if (previousStatus === "waiting" && match.status === "active") {
+        showToast(`已匹配到 ${match.opponent.nickname}`);
+      }
+      if (!["waiting", "active"].includes(match.status)) {
+        stopTimers();
+        closeSocket();
+      }
+    } catch (error) {
+      if (error.status === 404) {
+        stopTimers();
+        closeSocket();
+      }
+    }
+  }
+
+  function startPolling() {
+    stopTimers();
+    realtime.pollTimer = window.setInterval(refreshMatch, 2000);
+    realtime.clockTimer = window.setInterval(updateClock, 250);
+  }
+
+  function openMatch(match) {
+    realtime.match = match;
+    realtime.opponentProgress = 0;
+    renderMatch();
+    const dialog = document.querySelector("#experience-dialog");
+    if (!dialog.open) dialog.showModal();
+    connectSocket();
+    if (["waiting", "active"].includes(match.status)) startPolling();
+  }
+
+  function header(root, match) {
+    const label = document.createElement("span");
+    label.className = "kicker";
+    label.textContent =
+      `${match.match_type === "challenge" ? "联机码约战" : "随机匹配"} · ${GAME_LABELS[match.game_kind] || "实时竞技"}`;
+    const title = document.createElement("h2");
+    title.textContent = match.contest;
+    const status = document.createElement("div");
+    status.className = "realtime-status-line";
+    const connection = document.createElement("span");
+    connection.id = "realtime-connection";
+    connection.textContent = "正在建立实时连接…";
+    const clock = document.createElement("strong");
+    clock.id = "realtime-clock";
+    status.append(connection, clock);
+    root.append(label, title, status);
+  }
+
+  function updateClock() {
+    const clock = document.querySelector("#realtime-clock");
+    if (!clock || !realtime.match) return;
+    if (realtime.match.status === "waiting") {
+      const expiresAt = new Date(realtime.match.expires_at).getTime();
+      const seconds = Math.max(0, Math.ceil((expiresAt - Date.now()) / 1000));
+      clock.textContent = `联机码 ${Math.floor(seconds / 60)}:${String(seconds % 60).padStart(2, "0")} 后失效`;
+      return;
+    }
+    if (realtime.match.status === "active") {
+      const startedAt = new Date(realtime.match.started_at).getTime();
+      const elapsed = (Date.now() - startedAt) / 1000;
+      const remaining = Math.max(0, Math.ceil(realtime.match.duration_seconds - elapsed));
+      clock.textContent = `剩余 ${remaining} 秒`;
+      if (remaining === 0) refreshMatch();
+      return;
+    }
+    clock.textContent = "";
+  }
+
+  async function copyCode(code) {
+    try {
+      await navigator.clipboard.writeText(code);
+      showToast(`联机码 ${code} 已复制`);
+    } catch {
+      showToast(`联机码：${code}`);
+    }
+  }
+
+  function renderWaiting(root, match) {
+    const panel = document.createElement("div");
+    panel.className = "realtime-waiting";
+    const pulse = document.createElement("span");
+    pulse.className = "realtime-pulse";
+    const message = document.createElement("p");
+    message.textContent =
+      match.match_type === "challenge"
+        ? "把联机码发给朋友。对方加入后会自动开始，无需再次点击。"
+        : `正在寻找${GAME_LABELS[match.game_kind] || "同玩法"}对手。`;
+    panel.append(pulse, message);
+    if (match.challenge_code) {
+      const code = document.createElement("button");
+      code.className = "challenge-code";
+      code.textContent = match.challenge_code;
+      code.title = "点击复制联机码";
+      code.addEventListener("click", () => copyCode(match.challenge_code));
+      panel.append(code);
+    }
+    if (match.is_owner) {
+      const cancel = document.createElement("button");
+      cancel.className = "ghost-button";
+      cancel.textContent = "取消等待";
+      cancel.addEventListener("click", async () => {
+        cancel.disabled = true;
+        try {
+          realtime.match = await api(`contests/matches/${match.match_id}/cancel/`, {
+            method: "POST",
+            body: {},
+          });
+          renderMatch();
+          stopTimers();
+          closeSocket();
+        } catch (error) {
+          showToast(error.message);
+          cancel.disabled = false;
+        }
+      });
+      panel.append(cancel);
+    }
+    root.append(panel);
+    updateClock();
+  }
+
+  function matchProgressTotal(match) {
+    return (
+      match.game_kind === "sudoku"
+        ? 81
+        : match.game_kind === "twenty_four"
+        ? 1
+        : match.attempt?.questions.length || 0
+    );
+  }
+
+  function progressPanel(root, match) {
+    const total = matchProgressTotal(match);
+    const panel = document.createElement("div");
+    panel.className = "realtime-progress-panel";
+    const self = document.createElement("div");
+    self.innerHTML = `<span>你</span><b id="self-progress">0 / ${total}</b>`;
+    const opponent = document.createElement("div");
+    opponent.innerHTML =
+      `<span>${match.opponent?.nickname || "对手"}</span>` +
+      `<b id="opponent-progress">${realtime.opponentProgress} / ${total}</b>`;
+    panel.append(self, opponent);
+    root.append(panel);
+  }
+
+  function updateProgressUI(selfCount) {
+    const total = matchProgressTotal(realtime.match);
+    if (Number.isInteger(selfCount)) {
+      const self = document.querySelector("#self-progress");
+      if (self && realtime.match?.attempt) {
+        self.textContent = `${selfCount} / ${total}`;
+      }
+    }
+    const opponent = document.querySelector("#opponent-progress");
+    if (opponent && realtime.match?.attempt) {
+      opponent.textContent = `${realtime.opponentProgress} / ${total}`;
+    }
+  }
+
+  function sendProgress(answeredCount) {
+    if (realtime.socket?.readyState === WebSocket.OPEN) {
+      realtime.socket.send(
+        JSON.stringify({ type: "progress", answered_count: answeredCount })
+      );
+    }
+  }
+
+  async function submitRealtimeGame(attempt, payload) {
+    realtime.match = await api(
+      `contests/games/attempts/${attempt.attempt_id}/submit/`,
+      {
+        method: "POST",
+        headers: { "Idempotency-Key": createIdempotencyKey() },
+        body: payload,
+      },
+    );
+    renderMatch();
+  }
+
+  function renderTwentyFourGame(root, match) {
+    const attempt = match.attempt;
+    const numbers = document.createElement("div");
+    numbers.className = "twenty-four-numbers";
+    attempt.puzzle.numbers.forEach((number) => {
+      const tile = document.createElement("span");
+      tile.textContent = number;
+      numbers.append(tile);
+    });
+    const form = document.createElement("form");
+    form.className = "twenty-four-form";
+    const input = document.createElement("input");
+    input.className = "formula-input";
+    input.placeholder = "四个数字各用一次，例如：6/(1-3/4)";
+    input.autocomplete = "off";
+    input.addEventListener("input", () => {
+      sendProgress(input.value.trim() ? 1 : 0);
+      updateProgressUI(input.value.trim() ? 1 : 0);
+    });
+    const error = document.createElement("p");
+    error.className = "form-error";
+    const submit = document.createElement("button");
+    submit.className = "primary-button";
+    submit.type = "submit";
+    submit.textContent = "验证并锁定答案";
+    form.append(input, error, submit);
+    form.addEventListener("submit", async (event) => {
+      event.preventDefault();
+      submit.disabled = true;
+      error.textContent = "";
+      try {
+        await submitRealtimeGame(attempt, { expression: input.value });
+      } catch (requestError) {
+        error.textContent = requestError.message;
+        submit.disabled = false;
+      }
+    });
+    root.append(numbers, form);
+  }
+
+  function renderSudokuGame(root, match) {
+    const attempt = match.attempt;
+    const board = document.createElement("div");
+    board.className = "sudoku-board";
+    attempt.puzzle.grid.forEach((rowValues, row) => {
+      rowValues.forEach((givenValue, column) => {
+        const input = document.createElement("input");
+        input.inputMode = "numeric";
+        input.pattern = "[1-9]";
+        input.maxLength = 1;
+        input.dataset.row = row;
+        input.dataset.column = column;
+        input.value = givenValue || "";
+        input.readOnly = Boolean(givenValue);
+        input.className = givenValue ? "given" : "";
+        input.setAttribute("aria-label", `第 ${row + 1} 行第 ${column + 1} 列`);
+        input.addEventListener("input", () => {
+          input.value = input.value.replace(/[^1-9]/g, "").slice(0, 1);
+          const count = [...board.querySelectorAll("input")].filter(
+            (item) => item.value
+          ).length;
+          sendProgress(count);
+          updateProgressUI(count);
+        });
+        board.append(input);
+      });
+    });
+    const error = document.createElement("p");
+    error.className = "form-error";
+    const submit = document.createElement("button");
+    submit.className = "primary-button";
+    submit.type = "button";
+    submit.textContent = "检查并锁定数独";
+    submit.addEventListener("click", async () => {
+      submit.disabled = true;
+      error.textContent = "";
+      const grid = Array.from({ length: 9 }, () => Array(9).fill(0));
+      board.querySelectorAll("input").forEach((input) => {
+        grid[Number(input.dataset.row)][Number(input.dataset.column)] =
+          Number(input.value || 0);
+      });
+      try {
+        await submitRealtimeGame(attempt, { grid });
+      } catch (requestError) {
+        error.textContent = requestError.message;
+        submit.disabled = false;
+      }
+    });
+    root.append(board, error, submit);
+  }
+
+  function renderActive(root, match) {
+    progressPanel(root, match);
+    const attempt = match.attempt;
+    if (attempt.status !== "active") {
+      const waiting = document.createElement("div");
+      waiting.className = "realtime-submitted";
+      waiting.innerHTML =
+        "<strong>答案已锁定</strong><p>等待对手提交。双方完成后才会公开答案和 Rating 变化。</p>";
+      root.append(waiting);
+      updateClock();
+      return;
+    }
+    if (match.game_kind === "twenty_four") {
+      renderTwentyFourGame(root, match);
+      updateClock();
+      return;
+    }
+    if (match.game_kind === "sudoku") {
+      renderSudokuGame(root, match);
+      updateClock();
+      return;
+    }
+    const form = document.createElement("form");
+    form.className = "choice-list realtime-answer-form";
+    attempt.questions.forEach((question) => {
+      const field = document.createElement("label");
+      field.textContent = `${question.order}. ${question.prompt}`;
+      const input = document.createElement("input");
+      input.name = String(question.order);
+      input.inputMode = "decimal";
+      input.autocomplete = "off";
+      input.addEventListener("input", () => {
+        const answered = [...form.querySelectorAll("input")].filter(
+          (item) => item.value.trim()
+        ).length;
+        updateProgressUI(answered);
+        sendProgress(answered);
+      });
+      field.append(input);
+      form.append(field);
+    });
+    const submit = document.createElement("button");
+    submit.className = "primary-button";
+    submit.type = "submit";
+    submit.textContent = "提交并等待对手";
+    form.append(submit);
+    form.addEventListener("submit", async (event) => {
+      event.preventDefault();
+      submit.disabled = true;
+      const data = new FormData(form);
+      try {
+        realtime.match = await api(
+          `contests/attempts/${attempt.attempt_id}/submit/`,
+          {
+            method: "POST",
+            headers: { "Idempotency-Key": createIdempotencyKey() },
+            body: {
+              answers: attempt.questions.map((question) => ({
+                order: question.order,
+                answer: data.get(String(question.order)) || "",
+              })),
+            },
+          },
+        );
+        renderMatch();
+      } catch (error) {
+        showToast(error.message);
+        submit.disabled = false;
+      }
+    });
+    root.append(form);
+    updateClock();
+  }
+
+  function renderCompleted(root, match) {
+    const result = document.createElement("section");
+    result.className = `realtime-result result-${match.result.winner}`;
+    const outcome = document.createElement("strong");
+    outcome.textContent =
+      match.result.winner === "self"
+        ? "获胜"
+        : match.result.winner === "opponent"
+        ? "本局惜败"
+        : "平局";
+    const score = document.createElement("p");
+    score.textContent =
+      match.game_kind === "quiz"
+        ? `你 ${match.attempt.score} 分 · ${match.opponent.score} 分 ${match.opponent.nickname}`
+        : `${GAME_LABELS[match.game_kind]} · ${
+            match.attempt.status === "completed" ? "你已完成" : "你未完成"
+          } · ${
+            match.opponent.status === "completed"
+              ? `${match.opponent.nickname} 已完成`
+              : `${match.opponent.nickname} 未完成`
+          }`;
+    const timeLine = document.createElement("p");
+    timeLine.className = "realtime-time-line";
+    const selfMs = match.attempt.duration_ms || 0;
+    const opponentMs = match.opponent.duration_ms || 0;
+    const selfSec = (selfMs / 1000).toFixed(1);
+    const opponentSec = (opponentMs / 1000).toFixed(1);
+    timeLine.textContent = `你 ${selfSec}s · ${match.opponent.nickname} ${opponentSec}s`;
+    if (
+      match.result.winner !== "draw" &&
+      (match.game_kind !== "quiz" ||
+        match.attempt.score === match.opponent.score)
+    ) {
+      const faster = selfMs < opponentMs ? "你" : match.opponent.nickname;
+      const tiebreak = document.createElement("small");
+      tiebreak.className = "realtime-tiebreak";
+      tiebreak.textContent = `同分，${faster}更快完成，快者胜`;
+      timeLine.append(tiebreak);
+    }
+    const rating = document.createElement("b");
+    const sign = match.result.rating_delta > 0 ? "+" : "";
+    rating.textContent =
+      `Rating ${sign}${match.result.rating_delta} → ${match.result.rating_after}`;
+    result.append(outcome, score, timeLine, rating);
+    root.append(result);
+
+    if (state.user) {
+      state.user.rating = match.result.rating_after;
+      updateUserUI();
+    }
+    loadUser();
+
+    if (match.game_kind === "quiz") {
+      const review = document.createElement("div");
+      review.className = "realtime-review";
+      match.attempt.questions.forEach((question) => {
+        const item = document.createElement("article");
+        const title = document.createElement("b");
+        title.textContent = `${question.order}. ${question.prompt}`;
+        const answer = document.createElement("p");
+        answer.textContent =
+          `你的答案：${question.submitted_answer || "未作答"} · 正确答案：${question.correct_answer}`;
+        const explanation = document.createElement("small");
+        explanation.textContent = question.explanation || "";
+        item.className = question.is_correct ? "correct" : "incorrect";
+        item.append(title, answer, explanation);
+        review.append(item);
+      });
+      root.append(review);
+    }
+  }
+
+  function renderMatch() {
+    const root = document.querySelector("#experience-content");
+    const match = realtime.match;
+    root.replaceChildren();
+    header(root, match);
+    if (match.status === "waiting") renderWaiting(root, match);
+    else if (match.status === "active") renderActive(root, match);
+    else if (match.status === "completed") renderCompleted(root, match);
+    else {
+      const message = document.createElement("p");
+      message.className = "scene";
+      message.textContent = "这场匹配已取消或联机码已过期。";
+      root.append(message);
+    }
+  }
+
+  function currentRealtimeContest() {
+    const contests = state.contests.filter((contest) => contest.kind === "realtime");
+    return (
+      contests.find((contest) => contest.track === "open") ||
+      contests.find((contest) => contest.track === "standard") ||
+      contests[0]
+    );
+  }
+
+  async function startRandom(contest) {
+    const match = await api(`contests/${contest.slug}/matchmaking/`, {
+      method: "POST",
+      body: { game_kind: state.matchMode },
+    });
+    openMatch(match);
+  }
+
+  async function createChallenge() {
+    if (!requireAuth()) return;
+    const contest = currentRealtimeContest();
+    if (!contest) {
+      showToast("当前没有可用的实时比赛");
+      return;
+    }
+    try {
+      const match = await api(`contests/${contest.slug}/challenges/`, {
+        method: "POST",
+        body: { game_kind: state.matchMode },
+      });
+      openMatch(match);
+    } catch (error) {
+      showToast(error.message);
+    }
+  }
+
+  async function joinChallenge(event) {
+    event.preventDefault();
+    if (!requireAuth()) return;
+    const input = document.querySelector("#challenge-code-input");
+    const challengeCode = input.value.trim().toUpperCase();
+    if (challengeCode.length !== 6) {
+      showToast("请输入 6 位联机码");
+      return;
+    }
+    try {
+      const match = await api("contests/challenges/join/", {
+        method: "POST",
+        body: { challenge_code: challengeCode },
+      });
+      input.value = "";
+      openMatch(match);
+    } catch (error) {
+      showToast(error.message);
+    }
+  }
+
+  function init() {
+    document
+      .querySelector("#challenge-create")
+      .addEventListener("click", createChallenge);
+    document
+      .querySelector("#challenge-join-form")
+      .addEventListener("submit", joinChallenge);
+    document
+      .querySelector("#challenge-code-input")
+      .addEventListener("input", (event) => {
+        event.target.value = event.target.value
+          .toUpperCase()
+          .replace(/[^ABCDEFGHJKLMNPQRSTUVWXYZ23456789]/g, "")
+          .slice(0, 6);
+      });
+  }
+
+  function reset() {
+    stopTimers();
+    closeSocket();
+    realtime.match = null;
+    realtime.opponentProgress = 0;
+  }
+
+  window.HuluRealtime = { init, startRandom, refreshMatch, reset };
+})();

backend/static/js/toolbox.js

@@ -5,25 +5,107 @@
   const CALC_FIELDS = {
     derivative: ["order"],
     integral: ["bounds"],
-    limit: ["point"],
+    limit: ["point", "direction"],
+    series: ["point", "order"],
+    solve_system: ["variables"],
+    gradient: ["variables"],
+    hessian: ["variables"],
     base: ["base"],
     unit: ["unit"],
   };
 
-  function formatCalculatorResult(result) {
+  const CALC_OPERATION_META = {
-    if (Array.isArray(result)) {
+    statistics: {
-      return {
+      placeholder: "12, 15, 18, 21, 24",
-        exact: result.map((item) => item.exact).join(", "),
+      hint: "使用逗号分隔数据，返回四分位数、方差、标准差、极差等统计量。",
-        decimal: result.map((item) => item.decimal).join(", "),
+    },
-        latex: result.map((item) => item.latex).join(", "),
+    base: {
-      };
+      placeholder: "FF",
+      hint: "输入不带前缀的整数，原进制与目标进制均支持 2 到 36。",
+    },
+    solve: {
+      placeholder: "x^2 - 5*x + 6 = 0",
+      hint: "可省略等号右侧；通过“变量”指定要求解的未知量。",
+    },
+    solve_system: {
+      placeholder: "x + y = 5; x - y = 1",
+      hint: "使用分号分隔方程，通过“变量列表”指定未知量，最多 4 个变量、6 个方程。",
+    },
+    polynomial_roots: {
+      placeholder: "x^5 - x + 1 = 0",
+      hint: "返回至多 12 次单变量多项式的全部高精度数值根，包括复根。",
+    },
+    series: {
+      placeholder: "exp(x) * cos(x)",
+      hint: "在指定点附近展开；“阶数 6”表示保留到 5 阶并显示余项。",
+      order: 6,
+    },
+    gradient: {
+      placeholder: "x^2*y + sin(y)",
+      hint: "变量列表示例：x,y。结果按该顺序组成梯度列向量。",
+    },
+    hessian: {
+      placeholder: "x^2 + x*y + y^2",
+      hint: "变量列表示例：x,y。结果为二阶偏导组成的 Hessian 矩阵。",
+    },
+    matrix_det: { placeholder: "1,2;3,4", hint: "逗号分列、分号分行，最多 36 个元素。" },
+    matrix_inverse: { placeholder: "1,2;3,4", hint: "逆矩阵要求方阵且行列式非零。" },
+    matrix_rref: { placeholder: "1,2,3;2,4,6", hint: "返回矩阵的行最简形。" },
+    matrix_transpose: { placeholder: "1,2,3;4,5,6", hint: "交换矩阵的行与列。" },
+    matrix_rank: { placeholder: "1,2,3;2,4,6", hint: "通过精确行变换计算矩阵秩。" },
+    matrix_nullspace: { placeholder: "1,2;2,4", hint: "返回齐次方程组对应零空间的一组基。" },
+    matrix_eigenvalues: { placeholder: "2,1;1,2", hint: "要求方阵，返回特征值及其代数重数。" },
+  };
+
+  function calculatorCategoryFor(operation) {
+    const option = [...$tool("#calc-operation").options].find(
+      (item) => item.value === operation,
+    );
+    return option?.parentElement?.dataset.calcCategoryOptions || "algebra";
+  }
+
+  function setCalculatorCategory(category, selectFirst = true) {
+    const select = $tool("#calc-operation");
+    $$tool("[data-calc-category-options]").forEach((group) => {
+      const active = group.dataset.calcCategoryOptions === category;
+      group.hidden = !active;
+      group.disabled = !active;
+    });
+    $$tool("[data-calc-category]").forEach((button) => {
+      button.classList.toggle(
+        "active",
+        button.dataset.calcCategory === category,
+      );
+    });
+    if (selectFirst) {
+      const group = $tool(
+        `[data-calc-category-options="${category}"]`,
+      );
+      if (group?.querySelector("option")) {
+        select.value = group.querySelector("option").value;
+      }
     }
-    if (result && typeof result === "object" && "exact" in result) return result;
+    updateCalculatorFields();
-    const entries = Object.entries(result || {});
+  }
+
+  function resultText(value, field = "exact") {
+    if (Array.isArray(value)) {
+      return value.map((item) => resultText(item, field)).join("； ");
+    }
+    if (value && typeof value === "object") {
+      if ("exact" in value) return value[field] || value.exact;
+      return Object.entries(value)
+        .map(([key, item]) => `${key}: ${resultText(item, field)}`)
+        .join("； ");
+    }
+    return String(value ?? "");
+  }
+
+  function formatCalculatorResult(result) {
     return {
-      exact: entries.map(([key, value]) => `${key}: ${value}`).join(" · "),
+      exact: resultText(result, "exact"),
-      decimal: entries.map(([key, value]) => `${key}: ${value}`).join(" · "),
+      decimal: resultText(result, "decimal"),
-      latex: entries.map(([key, value]) => `${key}=${value}`).join(", "),
+      latex: resultText(result, "latex"),
     };
   }
 
@@ -33,17 +115,13 @@
     $$tool("[data-calc-field]").forEach((field) => {
       field.hidden = !visible.has(field.dataset.calcField);
     });
-    const input = $tool("#calc-input");
+    const meta = CALC_OPERATION_META[operation] || {};
-    const placeholders = {
+    $tool("#calc-input").placeholder = meta.placeholder || "例如：sqrt(2) + 1/3";
-      statistics: "12, 15, 18, 21, 24",
+    $tool("#calc-hint").textContent =
-      base: "FF",
+      meta.hint || "支持精确常量、受限数学函数和变量；按 Command/Ctrl + Enter 运行。";
-      matrix_det: "1,2;3,4",
+    $tool("#calc-order").max = operation === "derivative" ? 5 : 12;
-      matrix_inverse: "1,2;3,4",
+    if (meta.order) $tool("#calc-order").value = meta.order;
-      matrix_rref: "1,2,3;2,4,6",
+    else if (operation === "derivative") $tool("#calc-order").value = 1;
-      matrix_transpose: "1,2,3;4,5,6",
-      solve: "x^2 - 5*x + 6 = 0",
-    };
-    input.placeholder = placeholders[operation] || "例如：sqrt(2) + 1/3";
   }
 
   async function runCalculator() {
@@ -59,10 +137,12 @@
           operation,
           expression,
           variable: $tool("#calc-variable").value,
+          variables: $tool("#calc-variables").value,
           order: $tool("#calc-order").value,
           lower: $tool("#calc-lower").value,
           upper: $tool("#calc-upper").value,
           point: $tool("#calc-point").value,
+          direction: $tool("#calc-direction").value,
           from_base: $tool("#calc-from-base").value,
           to_base: $tool("#calc-to-base").value,
           from_unit: $tool("#calc-from-unit").value,
@@ -92,163 +172,6 @@
     }
   }
 
-  const GRAPH_COLORS = ["#196548", "#d86f45", "#5d73e8", "#8667b5"];
-
-  function drawFunctionPath(context, expression, variables, range, width, height, color) {
-    const toY = (value) => height / 2 - (value / range) * (height / 2);
-    context.strokeStyle = color;
-    context.lineWidth = 3;
-    context.beginPath();
-    let drawing = false;
-    const samples = [];
-    for (let pixel = 0; pixel <= width; pixel += 2) {
-      const x = (pixel / width) * range * 2 - range;
-      let y;
-      try {
-        y = evaluateExpression(expression, { ...variables, x });
-      } catch (error) {
-        if (pixel === 0) throw error;
-        drawing = false;
-        continue;
-      }
-      samples.push({ x, y });
-      const screenY = toY(y);
-      if (!Number.isFinite(screenY) || screenY < -height * 2 || screenY > height * 3) {
-        drawing = false;
-        continue;
-      }
-      if (!drawing) context.moveTo(pixel, screenY);
-      else context.lineTo(pixel, screenY);
-      drawing = true;
-    }
-    context.stroke();
-    return samples;
-  }
-
-  function graphAnalysis(samples) {
-    const roots = [];
-    let extrema = 0;
-    for (let index = 1; index < samples.length; index += 1) {
-      const before = samples[index - 1];
-      const current = samples[index];
-      if (before.y === 0 || before.y * current.y < 0) {
-        const root = (before.x + current.x) / 2;
-        if (!roots.length || Math.abs(root - roots.at(-1)) > 0.15) roots.push(root);
-      }
-      if (index > 1) {
-        const previousSlope = before.y - samples[index - 2].y;
-        const currentSlope = current.y - before.y;
-        if (previousSlope * currentSlope < 0) extrema += 1;
-      }
-    }
-    return { roots: roots.slice(0, 8), extrema };
-  }
-
-  function drawGraph() {
-    const canvas = $tool("#graph-canvas");
-    const context = canvas.getContext("2d");
-    const expressions = $tool("#graph-expression").value
-      .split("\n")
-      .map((item) => item.trim())
-      .filter(Boolean)
-      .slice(0, 4);
-    const range = Number($tool("#graph-range").value);
-    const parameter = Number($tool("#graph-parameter").value);
-    const width = canvas.width;
-    const height = canvas.height;
-    $tool("#graph-range-label").textContent = `−${range} 到 ${range}`;
-    $tool("#graph-parameter-label").textContent = `a = ${parameter}`;
-    $tool("#graph-error").textContent = "";
-    context.clearRect(0, 0, width, height);
-    context.fillStyle = "#fbfbf7";
-    context.fillRect(0, 0, width, height);
-    const toX = (x) => ((x + range) / (range * 2)) * width;
-    const toY = (y) => height / 2 - (y / range) * (height / 2);
-
-    context.strokeStyle = "#e4e5df";
-    context.lineWidth = 1;
-    for (let value = -range; value <= range; value += 1) {
-      context.beginPath();
-      context.moveTo(toX(value), 0);
-      context.lineTo(toX(value), height);
-      context.moveTo(0, toY(value));
-      context.lineTo(width, toY(value));
-      context.stroke();
-    }
-    context.strokeStyle = "#718078";
-    context.lineWidth = 2;
-    context.beginPath();
-    context.moveTo(0, height / 2);
-    context.lineTo(width, height / 2);
-    context.moveTo(width / 2, 0);
-    context.lineTo(width / 2, height);
-    context.stroke();
-
-    if (!expressions.length) {
-      $tool("#graph-error").textContent = "请至少输入一个函数";
-      return;
-    }
-    try {
-      const firstSamples = drawFunctionPath(
-        context,
-        expressions[0],
-        { a: parameter },
-        range,
-        width,
-        height,
-        GRAPH_COLORS[0],
-      );
-      expressions.slice(1).forEach((expression, index) => {
-        drawFunctionPath(
-          context,
-          expression,
-          { a: parameter },
-          range,
-          width,
-          height,
-          GRAPH_COLORS[index + 1],
-        );
-      });
-
-      if ($tool("#graph-integral").checked) {
-        context.fillStyle = "rgba(25, 101, 72, .13)";
-        context.beginPath();
-        context.moveTo(0, height / 2);
-        firstSamples.forEach((item) => context.lineTo(toX(item.x), toY(item.y)));
-        context.lineTo(width, height / 2);
-        context.closePath();
-        context.fill();
-      }
-      if ($tool("#graph-derivative").checked) {
-        const derivative = firstSamples.slice(1, -1).map((item, index) => {
-          const before = firstSamples[index];
-          const after = firstSamples[index + 2];
-          return { x: item.x, y: (after.y - before.y) / (after.x - before.x) };
-        });
-        context.strokeStyle = "#111827";
-        context.lineWidth = 2;
-        context.setLineDash([9, 7]);
-        context.beginPath();
-        derivative.forEach((item, index) => {
-          const x = toX(item.x);
-          const y = toY(item.y);
-          if (index === 0) context.moveTo(x, y);
-          else context.lineTo(x, y);
-        });
-        context.stroke();
-        context.setLineDash([]);
-      }
-      const analysis = graphAnalysis(firstSamples);
-      const rootText = analysis.roots.length
-        ? analysis.roots.map((item) => item.toFixed(2)).join("、")
-        : "当前范围未发现";
-      $tool("#graph-analysis").textContent =
-        `第一条曲线：近似零点 ${rootText}；检测到 ${analysis.extrema} 个极值转折。`;
-    } catch (error) {
-      $tool("#graph-error").textContent = error.message;
-    }
-  }
-
   function canvasPoint(canvas, event) {
     const rect = canvas.getBoundingClientRect();
     return {
@@ -273,6 +196,7 @@
       this.drawing = false;
       this.start = null;
       this.preview = null;
+      this.onChange = null;
       this.reset();
       canvas.addEventListener("pointerdown", (event) => this.startDrawing(event));
       canvas.addEventListener("pointermove", (event) => this.move(event));
@@ -290,6 +214,23 @@
       if (this.history.length > 20) this.history.shift();
     }
 
+    emitSnapshot() {
+      if (!this.onChange) return;
+      const data = this.canvas.toDataURL("image/png");
+      if (data.length <= 700000) this.onChange(data);
+      else showToast("当前画布内容较大，已保留本地编辑但暂停联机同步");
+    }
+
+    applySnapshot(data) {
+      if (typeof data !== "string" || !data.startsWith("data:image/")) return;
+      const image = new Image();
+      image.onload = () => {
+        this.context.clearRect(0, 0, this.canvas.width, this.canvas.height);
+        this.context.drawImage(image, 0, 0, this.canvas.width, this.canvas.height);
+      };
+      image.src = data;
+    }
+
     startDrawing(event) {
       event.preventDefault();
       this.snapshot();
@@ -305,6 +246,7 @@
           this.context.fillStyle = $tool("#whiteboard-color").value;
           this.context.font = `${size}px "SFMono-Regular", "PingFang SC", sans-serif`;
           this.context.fillText(text, this.start.x, this.start.y);
+          this.emitSnapshot();
         }
         this.drawing = false;
         return;
@@ -352,6 +294,7 @@
       this.move(event);
       this.drawing = false;
       this.preview = null;
+      this.emitSnapshot();
     }
 
     cancel() {
@@ -366,6 +309,7 @@
       image.onload = () => {
         this.context.clearRect(0, 0, this.canvas.width, this.canvas.height);
         this.context.drawImage(image, 0, 0);
+        this.emitSnapshot();
       };
       image.src = source;
     }
@@ -373,6 +317,7 @@
     clear() {
       this.snapshot();
       this.reset();
+      this.emitSnapshot();
     }
 
     addGrid() {
@@ -400,6 +345,7 @@
       context.moveTo(0, this.canvas.height / 2);
       context.lineTo(this.canvas.width, this.canvas.height / 2);
       context.stroke();
+      this.emitSnapshot();
     }
 
     addImage(file) {
@@ -421,6 +367,7 @@
             image.width * scale,
             image.height * scale,
           );
+          this.emitSnapshot();
         };
         image.src = reader.result;
       };
@@ -439,6 +386,7 @@
       this.history = [];
       this.pending = [];
       this.dragging = null;
+      this.onChange = null;
       canvas.addEventListener("pointerdown", (event) => this.pointerDown(event));
       canvas.addEventListener("pointermove", (event) => this.pointerMove(event));
       canvas.addEventListener("pointerup", (event) => this.pointerUp(event));
@@ -448,6 +396,34 @@
       this.draw();
     }
 
+    serialize() {
+      return {
+        points: this.points,
+        segments: this.segments,
+        circles: this.circles,
+      };
+    }
+
+    emitState() {
+      if (this.onChange) this.onChange(this.serialize());
+    }
+
+    applyState(payload) {
+      if (
+        !payload ||
+        !Array.isArray(payload.points) ||
+        !Array.isArray(payload.segments) ||
+        !Array.isArray(payload.circles)
+      ) {
+        return;
+      }
+      this.points = payload.points.slice(0, 300);
+      this.segments = payload.segments.slice(0, 500);
+      this.circles = payload.circles.slice(0, 300);
+      this.pending = [];
+      this.draw();
+    }
+
     save() {
       this.history.push(
         JSON.stringify({
@@ -501,6 +477,7 @@
       if (this.tool === "move") {
         this.pointerMove(event);
         this.dragging = null;
+        this.emitState();
         return;
       }
       this.handlePoint(event);
@@ -535,6 +512,7 @@
         }
       }
       this.draw();
+      this.emitState();
       $tool("#geometry-hint").textContent = this.pending.length
         ? "再选择一个点完成构造。"
         : "可继续创建或切换构造工具。";
@@ -624,6 +602,7 @@
       this.circles = parsed.circles;
       this.pending = [];
       this.draw();
+      this.emitState();
     }
 
     clear() {
@@ -633,15 +612,196 @@
       this.circles = [];
       this.pending = [];
       this.draw();
+      this.emitState();
+    }
+  }
+
+  class BoardRealtime {
+    constructor() {
+      this.session = null;
+      this.socket = null;
+      this.pollTimer = null;
+    }
+
+    websocketUrl(path) {
+      const protocol = window.location.protocol === "https:" ? "wss:" : "ws:";
+      return `${protocol}//${window.location.host}${path}`;
+    }
+
+    close() {
+      if (this.pollTimer) window.clearInterval(this.pollTimer);
+      this.pollTimer = null;
+      if (this.socket) {
+        this.socket.onclose = null;
+        this.socket.close();
+      }
+      this.socket = null;
+    }
+
+    async refresh() {
+      if (!this.session?.session_id) return;
+      try {
+        this.session = await api(`toolbox/boards/${this.session.session_id}/`);
+        this.render();
+      } catch (error) {
+        if (error.status === 404) this.close();
+      }
+    }
+
+    connect() {
+      this.close();
+      if (!this.session?.websocket_path) return;
+      const socket = new WebSocket(this.websocketUrl(this.session.websocket_path));
+      this.socket = socket;
+      socket.addEventListener("open", () => {
+        this.render("实时连接已建立");
+        socket.send(JSON.stringify({ type: "ping" }));
+      });
+      socket.addEventListener("message", async (event) => {
+        let message;
+        try {
+          message = JSON.parse(event.data);
+        } catch {
+          return;
+        }
+        if (
+          message.type === "canvas" &&
+          message.user_id !== String(state.user?.id)
+        ) {
+          whiteboard.applySnapshot(message.payload);
+        } else if (
+          message.type === "geometry" &&
+          message.user_id !== String(state.user?.id)
+        ) {
+          geometry.applyState(message.payload);
+        } else if (message.type === "state") {
+          await this.refresh();
+          if (message.reason === "joined" && this.session?.role === "host") {
+            this.send("canvas", whiteboard.canvas.toDataURL("image/png"));
+            this.send("geometry", geometry.serialize());
+          }
+        } else if (message.type === "error") {
+          showToast(message.message);
+        }
+      });
+      socket.addEventListener("close", () => {
+        this.render("实时连接已断开，正在轮询房间状态");
+      });
+      this.pollTimer = window.setInterval(() => this.refresh(), 3000);
+    }
+
+    send(type, payload) {
+      if (this.socket?.readyState !== WebSocket.OPEN) return;
+      this.socket.send(JSON.stringify({ type, payload }));
+    }
+
+    async create() {
+      if (!requireAuth()) return;
+      const mode = $tool("#board-session-mode").value;
+      try {
+        this.session = await api("toolbox/boards/", {
+          method: "POST",
+          body: { mode },
+        });
+        this.render();
+        this.connect();
+      } catch (error) {
+        showToast(error.message);
+      }
+    }
+
+    async join(event) {
+      event.preventDefault();
+      if (!requireAuth()) return;
+      const input = $tool("#board-code-input");
+      try {
+        this.session = await api("toolbox/boards/join/", {
+          method: "POST",
+          body: { code: input.value },
+        });
+        input.value = "";
+        this.render();
+        this.connect();
+      } catch (error) {
+        showToast(error.message);
+      }
+    }
+
+    async guess(event) {
+      event.preventDefault();
+      if (!this.session) return;
+      const input = $tool("#board-guess-input");
+      try {
+        const result = await api(
+          `toolbox/boards/${this.session.session_id}/guess/`,
+          {
+            method: "POST",
+            body: { guess: input.value },
+          },
+        );
+        this.session = result;
+        showToast(result.message);
+        if (result.correct) input.value = "";
+        this.render();
+      } catch (error) {
+        showToast(error.message);
+      }
+    }
+
+    render(connectionMessage = "") {
+      const status = $tool("#board-session-status");
+      const target = $tool("#board-target");
+      const guessForm = $tool("#board-guess-form");
+      if (!this.session) {
+        status.textContent = "当前为本地画板，创建或加入后开始实时同步。";
+        target.hidden = true;
+        guessForm.hidden = true;
+        return;
+      }
+      const participants = this.session.guest
+        ? `${this.session.host} 与 ${this.session.guest}`
+        : `${this.session.host} 正在等待另一位用户`;
+      status.textContent =
+        `${this.session.mode_label} · 联机码 ${this.session.code} · ${participants}` +
+        (connectionMessage ? ` · ${connectionMessage}` : "");
+      target.hidden = !this.session.target;
+      target.textContent = this.session.target
+        ? `本轮数学对象：${this.session.target}`
+        : "";
+      guessForm.hidden = !(
+        this.session.mode === "draw_guess" &&
+        this.session.role === "guest" &&
+        this.session.status === "active"
+      );
+      if (this.session.status === "completed") {
+        status.textContent +=
+          ` · 本轮结束，比分 ${this.session.host_score}:${this.session.guest_score}`;
+      }
     }
   }
 
   let whiteboard;
   let geometry;
+  let boardRealtime;
 
   function initDrawingTools() {
     whiteboard = new Whiteboard($tool("#whiteboard-canvas"));
     geometry = new GeometryBoard($tool("#geometry-canvas"));
+    boardRealtime = new BoardRealtime();
+    whiteboard.onChange = (payload) => boardRealtime.send("canvas", payload);
+    geometry.onChange = (payload) => boardRealtime.send("geometry", payload);
+    $$tool("[data-board-pane-toggle]").forEach((button) => {
+      button.addEventListener("click", () => {
+        const pane = button.dataset.boardPaneToggle;
+        $$tool("[data-board-pane-toggle]").forEach((item) => {
+          item.classList.toggle("active", item === button);
+        });
+        $$tool("[data-board-pane]").forEach((item) => {
+          item.classList.toggle("active", item.dataset.boardPane === pane);
+        });
+        if (pane === "geometry") window.setTimeout(() => geometry.draw(), 30);
+      });
+    });
     $$tool("[data-whiteboard-tool]").forEach((button) => {
       button.addEventListener("click", () => {
         whiteboard.tool = button.dataset.whiteboardTool;
@@ -675,10 +835,35 @@
     $tool("#geometry-export").addEventListener("click", () =>
       downloadCanvas(geometry.canvas, "hulumath-geometry")
     );
+    $tool("#board-create").addEventListener("click", () => boardRealtime.create());
+    $tool("#board-join-form").addEventListener(
+      "submit",
+      (event) => boardRealtime.join(event),
+    );
+    $tool("#board-guess-form").addEventListener(
+      "submit",
+      (event) => boardRealtime.guess(event),
+    );
+    $tool("#board-code-input").addEventListener("input", (event) => {
+      event.target.value = event.target.value
+        .toUpperCase()
+        .replace(/[^ABCDEFGHJKLMNPQRSTUVWXYZ23456789]/g, "")
+        .slice(0, 6);
+    });
   }
 
   function init() {
-    $tool("#calc-operation").addEventListener("change", updateCalculatorFields);
+    $tool("#calc-operation").addEventListener("change", () => {
+      setCalculatorCategory(
+        calculatorCategoryFor($tool("#calc-operation").value),
+        false,
+      );
+    });
+    $$tool("[data-calc-category]").forEach((button) => {
+      button.addEventListener("click", () => {
+        setCalculatorCategory(button.dataset.calcCategory);
+      });
+    });
     $tool("#calc-run").addEventListener("click", runCalculator);
     $tool("#calc-input").addEventListener("keydown", (event) => {
       if ((event.metaKey || event.ctrlKey) && event.key === "Enter") runCalculator();
@@ -687,24 +872,22 @@
       button.addEventListener("click", () => {
         $tool("#calc-operation").value = button.dataset.calcOperation;
         $tool("#calc-input").value = button.dataset.calcExample;
-        updateCalculatorFields();
+        setCalculatorCategory(
+          calculatorCategoryFor(button.dataset.calcOperation),
+          false,
+        );
         runCalculator();
       });
     });
-    ["#graph-run", "#graph-range", "#graph-parameter", "#graph-derivative", "#graph-integral"]
-      .forEach((selector) => $tool(selector).addEventListener("input", drawGraph));
-    $tool("#graph-expression").addEventListener("keydown", (event) => {
-      if ((event.metaKey || event.ctrlKey) && event.key === "Enter") drawGraph();
-    });
     initDrawingTools();
-    updateCalculatorFields();
+    setCalculatorCategory("algebra", false);
-    drawGraph();
+    window.HuluGraph?.init();
   }
 
   function activate(tool) {
-    if (tool === "graph") window.setTimeout(drawGraph, 30);
+    if (tool === "graph") window.setTimeout(() => window.HuluGraph?.resize(), 30);
-    if (tool === "geometry") window.setTimeout(() => geometry.draw(), 30);
+    if (tool === "whiteboard") window.setTimeout(() => geometry.draw(), 30);
   }
 
-  window.HuluToolbox = { init, activate, runCalculator, drawGraph };
+  window.HuluToolbox = { init, activate, runCalculator };
 })();

backend/static/vendor/katex/LICENSE.txt

@@ -0,0 +1,21 @@
+The MIT License (MIT)
+
+Copyright (c) 2013-2020 Khan Academy and other contributors
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.