v0.2 Preview: Construction Plan.

backend/accounts/admin.py

@@ -0,0 +1,35 @@
+from django.contrib import admin
+from django.contrib.auth.admin import UserAdmin
+
+from .models import (
+    AuditLog,
+    InviteCode,
+    InviteCodeUsage,
+    User,
+    UserSession,
+    VisitorMigration,
+)
+
+
+@admin.register(User)
+class HulumathUserAdmin(UserAdmin):
+    fieldsets = UserAdmin.fieldsets + (
+        ("葫芦数学", {"fields": ("nickname", "avatar_url", "bio", "track", "rating")}),
+    )
+    add_fieldsets = UserAdmin.add_fieldsets + (
+        ("葫芦数学", {"fields": ("nickname", "track")}),
+    )
+    list_display = ("username", "nickname", "track", "rating", "is_active", "date_joined")
+
+
+@admin.register(InviteCode)
+class InviteCodeAdmin(admin.ModelAdmin):
+    list_display = ("code", "group", "used_count", "max_uses", "expires_at", "is_active")
+    list_filter = ("is_active", "group")
+    search_fields = ("code", "group")
+
+
+admin.site.register(InviteCodeUsage)
+admin.site.register(UserSession)
+admin.site.register(VisitorMigration)
+admin.site.register(AuditLog)

backend/accounts/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class AccountsConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'accounts'

backend/accounts/migration_service.py

@@ -0,0 +1,104 @@
+from django.db import transaction
+from django.utils import timezone
+
+from content.models import ContentInteraction, ContentItem
+from math_life.models import (
+    MathBTIAssessment,
+    MathBTIResult,
+    MathIdentity,
+    Story,
+    StoryRun,
+    StoryVersion,
+)
+from math_life.services import score_mathbti
+from progression.models import Card, UserCard
+from progression.services import initialize_math_identity
+
+from .models import VisitorMigration
+
+
+def migration_summary(payload):
+    mathbti = 1 if isinstance(payload.get("mathbti"), dict) else 0
+    return {
+        "mathbti_results": mathbti,
+        "story_saves": min(len(payload.get("story_saves", [])), 20),
+        "favorites": min(len(payload.get("favorites", [])), 200),
+        "cards": min(len(payload.get("cards", [])), 100),
+    }
+
+
+@transaction.atomic
+def apply_visitor_migration(user):
+    migration = VisitorMigration.objects.select_for_update().get(user=user)
+    if migration.status == VisitorMigration.Status.APPLIED:
+        return migration
+
+    payload = migration.payload
+    mathbti = payload.get("mathbti")
+    if isinstance(mathbti, dict):
+        assessment = MathBTIAssessment.objects.filter(
+            version=mathbti.get("version"),
+            is_published=True,
+        ).first()
+        if assessment:
+            code, scores = score_mathbti(assessment.definition, mathbti.get("answers", []))
+            identity = MathIdentity.objects.get(code=code)
+            MathBTIResult.objects.create(
+                user=user,
+                assessment=assessment,
+                identity=identity,
+                answers=mathbti["answers"],
+                axis_scores=scores,
+            )
+            initialize_math_identity(user, identity)
+
+    for item in payload.get("story_saves", [])[:20]:
+        if not isinstance(item, dict):
+            continue
+        story = Story.objects.filter(slug=item.get("story_slug")).first()
+        if story is None:
+            continue
+        version = StoryVersion.objects.filter(
+            story=story,
+            version=item.get("version"),
+            is_published=True,
+        ).first()
+        node_id = item.get("current_node")
+        if version is None or node_id not in version.content.get("nodes", {}):
+            continue
+        StoryRun.objects.get_or_create(
+            user=user,
+            story_version=version,
+            status=StoryRun.Status.ACTIVE,
+            defaults={
+                "current_node": node_id,
+                "state": item.get("state", {}) if isinstance(item.get("state"), dict) else {},
+            },
+        )
+
+    favorites = ContentItem.objects.filter(
+        slug__in=payload.get("favorites", [])[:200],
+        is_published=True,
+    )
+    ContentInteraction.objects.bulk_create(
+        [
+            ContentInteraction(
+                user=user,
+                content=item,
+                action=ContentInteraction.Action.FAVORITE,
+            )
+            for item in favorites
+        ],
+        ignore_conflicts=True,
+    )
+
+    cards = Card.objects.filter(slug__in=payload.get("cards", [])[:100])
+    UserCard.objects.bulk_create(
+        [UserCard(user=user, card=card, source="visitor_migration") for card in cards],
+        ignore_conflicts=True,
+    )
+
+    migration.status = VisitorMigration.Status.APPLIED
+    migration.applied_at = timezone.now()
+    migration.save(update_fields=["status", "applied_at"])
+    return migration

backend/accounts/migrations/0001_initial.py

@@ -0,0 +1,104 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:15
+
+from django.conf import settings
+import django.contrib.auth.models
+import django.contrib.auth.validators
+from django.db import migrations, models
+import django.db.models.deletion
+import django.utils.timezone
+import uuid
+
+
+class Migration(migrations.Migration):
+
+    initial = True
+
+    dependencies = [
+        ('auth', '0012_alter_user_first_name_max_length'),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='User',
+            fields=[
+                ('password', models.CharField(max_length=128, verbose_name='password')),
+                ('last_login', models.DateTimeField(blank=True, null=True, verbose_name='last login')),
+                ('is_superuser', models.BooleanField(default=False, help_text='Designates that this user has all permissions without explicitly assigning them.', verbose_name='superuser status')),
+                ('username', models.CharField(error_messages={'unique': 'A user with that username already exists.'}, help_text='Required. 150 characters or fewer. Letters, digits and @/./+/-/_ only.', max_length=150, unique=True, validators=[django.contrib.auth.validators.UnicodeUsernameValidator()], verbose_name='username')),
+                ('first_name', models.CharField(blank=True, max_length=150, verbose_name='first name')),
+                ('last_name', models.CharField(blank=True, max_length=150, verbose_name='last name')),
+                ('email', models.EmailField(blank=True, max_length=254, verbose_name='email address')),
+                ('is_staff', models.BooleanField(default=False, help_text='Designates whether the user can log into this admin site.', verbose_name='staff status')),
+                ('is_active', models.BooleanField(default=True, help_text='Designates whether this user should be treated as active. Unselect this instead of deleting accounts.', verbose_name='active')),
+                ('date_joined', models.DateTimeField(default=django.utils.timezone.now, verbose_name='date joined')),
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('nickname', models.CharField(max_length=40)),
+                ('avatar_url', models.URLField(blank=True)),
+                ('bio', models.CharField(blank=True, max_length=200)),
+                ('track', models.CharField(choices=[('beginner', '入门'), ('standard', '标准'), ('advanced', '进阶'), ('open', 'Open')], default='standard', max_length=16)),
+                ('rating', models.PositiveIntegerField(default=1000)),
+                ('groups', models.ManyToManyField(blank=True, help_text='The groups this user belongs to. A user will get all permissions granted to each of their groups.', related_name='user_set', related_query_name='user', to='auth.group', verbose_name='groups')),
+                ('user_permissions', models.ManyToManyField(blank=True, help_text='Specific permissions for this user.', related_name='user_set', related_query_name='user', to='auth.permission', verbose_name='user permissions')),
+            ],
+            options={
+                'verbose_name': 'user',
+                'verbose_name_plural': 'users',
+                'abstract': False,
+            },
+            managers=[
+                ('objects', django.contrib.auth.models.UserManager()),
+            ],
+        ),
+        migrations.CreateModel(
+            name='InviteCode',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('code', models.CharField(max_length=32, unique=True)),
+                ('group', models.CharField(blank=True, max_length=80)),
+                ('max_uses', models.PositiveIntegerField(default=1)),
+                ('used_count', models.PositiveIntegerField(default=0)),
+                ('expires_at', models.DateTimeField(blank=True, null=True)),
+                ('is_active', models.BooleanField(default=True)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('created_by', models.ForeignKey(blank=True, null=True, on_delete=django.db.models.deletion.SET_NULL, related_name='invite_codes', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='UserSession',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('session_key', models.CharField(max_length=40, unique=True)),
+                ('user_agent', models.CharField(blank=True, max_length=300)),
+                ('ip_address', models.GenericIPAddressField(blank=True, null=True)),
+                ('last_seen_at', models.DateTimeField(auto_now=True)),
+                ('revoked_at', models.DateTimeField(blank=True, null=True)),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='login_sessions', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='InviteCodeUsage',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('used_at', models.DateTimeField(auto_now_add=True)),
+                ('ip_address', models.GenericIPAddressField(blank=True, null=True)),
+                ('invite_code', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, related_name='usages', to='accounts.invitecode')),
+                ('user', models.OneToOneField(on_delete=django.db.models.deletion.CASCADE, related_name='invite_usage', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='AuditLog',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('action', models.CharField(max_length=80)),
+                ('target_type', models.CharField(max_length=80)),
+                ('target_id', models.CharField(blank=True, max_length=80)),
+                ('reason', models.CharField(blank=True, max_length=300)),
+                ('metadata', models.JSONField(blank=True, default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('actor', models.ForeignKey(null=True, on_delete=django.db.models.deletion.SET_NULL, to=settings.AUTH_USER_MODEL)),
+            ],
+            options={
+                'ordering': ['-created_at'],
+            },
+        ),
+    ]

backend/accounts/migrations/0002_visitormigration.py

@@ -0,0 +1,28 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:28
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+import uuid
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('accounts', '0001_initial'),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='VisitorMigration',
+            fields=[
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('payload', models.JSONField(default=dict)),
+                ('summary', models.JSONField(default=dict)),
+                ('status', models.CharField(choices=[('pending', '待确认'), ('applied', '已迁移')], default='pending', max_length=16)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('applied_at', models.DateTimeField(blank=True, null=True)),
+                ('user', models.OneToOneField(on_delete=django.db.models.deletion.CASCADE, related_name='visitor_migration', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+    ]

backend/accounts/models.py

@@ -0,0 +1,90 @@
+import uuid
+
+from django.contrib.auth.models import AbstractUser
+from django.db import models
+from django.utils import timezone
+
+
+class User(AbstractUser):
+    class Track(models.TextChoices):
+        BEGINNER = "beginner", "入门"
+        STANDARD = "standard", "标准"
+        ADVANCED = "advanced", "进阶"
+        OPEN = "open", "Open"
+
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    nickname = models.CharField(max_length=40)
+    avatar_url = models.URLField(blank=True)
+    bio = models.CharField(max_length=200, blank=True)
+    track = models.CharField(max_length=16, choices=Track.choices, default=Track.STANDARD)
+    rating = models.PositiveIntegerField(default=1000)
+
+    def __str__(self):
+        return self.nickname or self.username
+
+
+class InviteCode(models.Model):
+    code = models.CharField(max_length=32, unique=True)
+    group = models.CharField(max_length=80, blank=True)
+    max_uses = models.PositiveIntegerField(default=1)
+    used_count = models.PositiveIntegerField(default=0)
+    expires_at = models.DateTimeField(null=True, blank=True)
+    is_active = models.BooleanField(default=True)
+    created_by = models.ForeignKey(
+        User, null=True, blank=True, on_delete=models.SET_NULL, related_name="invite_codes"
+    )
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    @property
+    def is_available(self):
+        return (
+            self.is_active
+            and self.used_count < self.max_uses
+            and (self.expires_at is None or self.expires_at > timezone.now())
+        )
+
+    def __str__(self):
+        return self.code
+
+
+class InviteCodeUsage(models.Model):
+    invite_code = models.ForeignKey(InviteCode, on_delete=models.PROTECT, related_name="usages")
+    user = models.OneToOneField(User, on_delete=models.CASCADE, related_name="invite_usage")
+    used_at = models.DateTimeField(auto_now_add=True)
+    ip_address = models.GenericIPAddressField(null=True, blank=True)
+
+
+class UserSession(models.Model):
+    user = models.ForeignKey(User, on_delete=models.CASCADE, related_name="login_sessions")
+    session_key = models.CharField(max_length=40, unique=True)
+    user_agent = models.CharField(max_length=300, blank=True)
+    ip_address = models.GenericIPAddressField(null=True, blank=True)
+    last_seen_at = models.DateTimeField(auto_now=True)
+    revoked_at = models.DateTimeField(null=True, blank=True)
+
+
+class VisitorMigration(models.Model):
+    class Status(models.TextChoices):
+        PENDING = "pending", "待确认"
+        APPLIED = "applied", "已迁移"
+
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    user = models.OneToOneField(User, on_delete=models.CASCADE, related_name="visitor_migration")
+    payload = models.JSONField(default=dict)
+    summary = models.JSONField(default=dict)
+    status = models.CharField(max_length=16, choices=Status.choices, default=Status.PENDING)
+    created_at = models.DateTimeField(auto_now_add=True)
+    applied_at = models.DateTimeField(null=True, blank=True)
+
+
+class AuditLog(models.Model):
+    actor = models.ForeignKey(User, null=True, on_delete=models.SET_NULL)
+    action = models.CharField(max_length=80)
+    target_type = models.CharField(max_length=80)
+    target_id = models.CharField(max_length=80, blank=True)
+    reason = models.CharField(max_length=300, blank=True)
+    metadata = models.JSONField(default=dict, blank=True)
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        ordering = ["-created_at"]

backend/accounts/serializers.py

@@ -0,0 +1,72 @@
+import json
+
+from django.contrib.auth.password_validation import validate_password
+from django.db import transaction
+from rest_framework import serializers
+
+from .migration_service import migration_summary
+from .models import InviteCode, InviteCodeUsage, User, VisitorMigration
+
+
+class UserSerializer(serializers.ModelSerializer):
+    class Meta:
+        model = User
+        fields = ("id", "username", "nickname", "avatar_url", "bio", "track", "rating")
+        read_only_fields = ("id", "rating")
+
+
+class RegisterSerializer(serializers.Serializer):
+    invite_code = serializers.CharField(max_length=32)
+    username = serializers.RegexField(r"^[A-Za-z0-9_]{3,30}$")
+    password = serializers.CharField(write_only=True, min_length=8)
+    nickname = serializers.CharField(max_length=40)
+    track = serializers.ChoiceField(choices=User.Track.choices, default=User.Track.STANDARD)
+    visitor_data = serializers.JSONField(required=False, default=dict, write_only=True)
+
+    def validate_username(self, value):
+        if User.objects.filter(username__iexact=value).exists():
+            raise serializers.ValidationError("用户名已存在")
+        return value
+
+    def validate_password(self, value):
+        validate_password(value)
+        return value
+
+    def validate_visitor_data(self, value):
+        if not isinstance(value, dict):
+            raise serializers.ValidationError("游客数据必须是对象")
+        for field in ("story_saves", "favorites", "cards"):
+            if field in value and not isinstance(value[field], list):
+                raise serializers.ValidationError(f"{field} 必须是数组")
+        if "mathbti" in value and not isinstance(value["mathbti"], dict):
+            raise serializers.ValidationError("mathbti 必须是对象")
+        if len(json.dumps(value, ensure_ascii=False).encode("utf-8")) > 256 * 1024:
+            raise serializers.ValidationError("游客数据不能超过 256KB")
+        return value
+
+    @transaction.atomic
+    def create(self, validated_data):
+        code_text = validated_data.pop("invite_code")
+        visitor_data = validated_data.pop("visitor_data", {})
+        try:
+            invite = InviteCode.objects.select_for_update().get(code__iexact=code_text)
+        except InviteCode.DoesNotExist as exc:
+            raise serializers.ValidationError({"invite_code": "邀请码无效"}) from exc
+        if not invite.is_available:
+            raise serializers.ValidationError({"invite_code": "邀请码已过期或已用完"})
+
+        user = User.objects.create_user(**validated_data)
+        InviteCodeUsage.objects.create(
+            invite_code=invite,
+            user=user,
+            ip_address=self.context.get("ip_address"),
+        )
+        invite.used_count += 1
+        invite.save(update_fields=["used_count"])
+        if visitor_data:
+            VisitorMigration.objects.create(
+                user=user,
+                payload=visitor_data,
+                summary=migration_summary(visitor_data),
+            )
+        return user

backend/accounts/test_migration_service.py

@@ -0,0 +1,99 @@
+import pytest
+
+from accounts.migration_service import apply_visitor_migration, migration_summary
+from accounts.models import User, VisitorMigration
+from content.models import ContentInteraction, ContentItem
+from math_life.models import (
+    MathBTIAssessment,
+    MathBTIResult,
+    MathIdentity,
+    Story,
+    StoryRun,
+    StoryVersion,
+)
+from progression.models import Card, UserCard
+
+
+@pytest.mark.django_db
+def test_apply_visitor_migration_确认后事务化导入且可重复调用():
+    user = User.objects.create_user(
+        username="visitor_user",
+        password="StrongPass_2026",
+        nickname="游客用户",
+    )
+    definition = {
+        "axes": [{"id": "style"}],
+        "scoring": {"axes": ["style"], "cutoff": 0},
+        "questions": [
+            {"id": 1, "axis": "style", "options": [{"score": 0}, {"score": 1}]}
+        ],
+    }
+    MathBTIAssessment.objects.create(
+        version="test-1",
+        title="测试 MathBTI",
+        definition=definition,
+        is_published=True,
+    )
+    MathIdentity.objects.create(
+        code="1",
+        name="测试身份",
+        clan="信仰者",
+        mathematician="高斯",
+    )
+    story = Story.objects.create(slug="visitor-story", title="游客人生")
+    StoryVersion.objects.create(
+        story=story,
+        version=1,
+        is_published=True,
+        content={
+            "start_node": "start",
+            "nodes": {
+                "start": {"scene": "开始", "choices": []},
+                "saved": {"scene": "存档", "choices": []},
+            },
+        },
+    )
+    content = ContentItem.objects.create(
+        slug="favorite-content",
+        title="收藏内容",
+        kind=ContentItem.Kind.KNOWLEDGE,
+        is_published=True,
+    )
+    legacy_card = Card.objects.create(
+        slug="legacy-card",
+        name="旧人物卡",
+        mathematician="欧拉",
+        description="游客阶段获得",
+    )
+    payload = {
+        "mathbti": {"version": "test-1", "answers": [1]},
+        "story_saves": [
+            {
+                "story_slug": "visitor-story",
+                "version": 1,
+                "current_node": "saved",
+                "state": {"energy": 3},
+            }
+        ],
+        "favorites": ["favorite-content"],
+        "cards": ["legacy-card"],
+    }
+    VisitorMigration.objects.create(
+        user=user,
+        payload=payload,
+        summary=migration_summary(payload),
+    )
+
+    first = apply_visitor_migration(user)
+    second = apply_visitor_migration(user)
+
+    assert first.status == VisitorMigration.Status.APPLIED
+    assert second.status == VisitorMigration.Status.APPLIED
+    assert MathBTIResult.objects.filter(user=user).count() == 1
+    assert StoryRun.objects.get(user=user).current_node == "saved"
+    assert ContentInteraction.objects.filter(
+        user=user,
+        content=content,
+        action=ContentInteraction.Action.FAVORITE,
+    ).count() == 1
+    assert UserCard.objects.filter(user=user, card=legacy_card).count() == 1

backend/accounts/test_serializers.py

@@ -0,0 +1,76 @@
+from datetime import timedelta
+
+import pytest
+from django.utils import timezone
+from rest_framework import serializers
+
+from accounts.models import InviteCode, InviteCodeUsage, User
+from accounts.serializers import RegisterSerializer
+
+
+def registration_data(code="VALID-CODE", username="math_user"):
+    return {
+        "invite_code": code,
+        "username": username,
+        "password": "StrongPass_2026",
+        "nickname": "数学少年",
+        "track": User.Track.STANDARD,
+    }
+
+
+@pytest.mark.django_db
+def test_register_serializer_有效邀请码创建用户并原子消费():
+    invite = InviteCode.objects.create(code="VALID-CODE", max_uses=1)
+    serializer = RegisterSerializer(
+        data=registration_data(),
+        context={"ip_address": "127.0.0.1"},
+    )
+
+    assert serializer.is_valid(), serializer.errors
+    user = serializer.save()
+
+    invite.refresh_from_db()
+    assert invite.used_count == 1
+    assert user.check_password("StrongPass_2026")
+    usage = InviteCodeUsage.objects.get(user=user)
+    assert usage.invite_code == invite
+    assert usage.ip_address == "127.0.0.1"
+
+
+@pytest.mark.django_db
+def test_register_serializer_过期邀请码拒绝创建用户():
+    InviteCode.objects.create(
+        code="EXPIRED",
+        max_uses=1,
+        expires_at=timezone.now() - timedelta(seconds=1),
+    )
+    serializer = RegisterSerializer(data=registration_data(code="EXPIRED"))
+
+    assert serializer.is_valid(), serializer.errors
+    with pytest.raises(serializers.ValidationError, match="已过期或已用完"):
+        serializer.save()
+    assert User.objects.count() == 0
+
+
+@pytest.mark.django_db
+def test_register_serializer_用户名大小写重复时校验失败():
+    User.objects.create_user(
+        username="Math_User",
+        password="StrongPass_2026",
+        nickname="已有用户",
+    )
+    serializer = RegisterSerializer(data=registration_data(username="math_user"))
+
+    assert not serializer.is_valid()
+    assert "用户名已存在" in str(serializer.errors["username"])
+
+
+@pytest.mark.django_db
+def test_register_serializer_游客迁移字段类型错误时拒绝():
+    InviteCode.objects.create(code="VALID-CODE", max_uses=1)
+    data = registration_data()
+    data["visitor_data"] = {"favorites": None}
+    serializer = RegisterSerializer(data=data)
+
+    assert not serializer.is_valid()
+    assert "favorites 必须是数组" in str(serializer.errors["visitor_data"])

backend/accounts/tests.py

@@ -0,0 +1,3 @@
+from django.test import TestCase
+
+# Create your tests here.

backend/accounts/urls.py

@@ -0,0 +1,12 @@
+from django.urls import path
+
+from .views import LoginView, LogoutView, MeView, RegisterView, VisitorMigrationView
+
+
+urlpatterns = [
+    path("register/", RegisterView.as_view(), name="register"),
+    path("login/", LoginView.as_view(), name="login"),
+    path("logout/", LogoutView.as_view(), name="logout"),
+    path("me/", MeView.as_view(), name="me"),
+    path("visitor-migration/", VisitorMigrationView.as_view(), name="visitor-migration"),
+]

backend/accounts/views.py

@@ -0,0 +1,111 @@
+from django.contrib.auth import authenticate, login, logout
+from rest_framework import permissions, status
+from rest_framework.response import Response
+from rest_framework.views import APIView
+
+from .migration_service import apply_visitor_migration
+from .models import UserSession, VisitorMigration
+from .serializers import RegisterSerializer, UserSerializer
+
+
+def client_ip(request):
+    forwarded = request.META.get("HTTP_X_FORWARDED_FOR")
+    return forwarded.split(",")[0].strip() if forwarded else request.META.get("REMOTE_ADDR")
+
+
+class RegisterView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def post(self, request):
+        serializer = RegisterSerializer(
+            data=request.data,
+            context={"ip_address": client_ip(request)},
+        )
+        serializer.is_valid(raise_exception=True)
+        user = serializer.save()
+        login(request, user)
+        self._record_session(request, user)
+        payload = UserSerializer(user).data
+        payload["visitor_migration_pending"] = hasattr(user, "visitor_migration")
+        return Response(payload, status=status.HTTP_201_CREATED)
+
+    @staticmethod
+    def _record_session(request, user):
+        if not request.session.session_key:
+            request.session.save()
+        UserSession.objects.update_or_create(
+            session_key=request.session.session_key,
+            defaults={
+                "user": user,
+                "user_agent": request.headers.get("User-Agent", "")[:300],
+                "ip_address": client_ip(request),
+            },
+        )
+
+
+class LoginView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def post(self, request):
+        user = authenticate(
+            request,
+            username=request.data.get("username", ""),
+            password=request.data.get("password", ""),
+        )
+        if user is None or not user.is_active:
+            return Response(
+                {"error": {"code": "invalid_credentials", "message": "用户名或密码错误"}},
+                status=status.HTTP_400_BAD_REQUEST,
+            )
+        login(request, user)
+        RegisterView._record_session(request, user)
+        return Response(UserSerializer(user).data)
+
+
+class LogoutView(APIView):
+    def post(self, request):
+        if request.session.session_key:
+            UserSession.objects.filter(session_key=request.session.session_key).delete()
+        logout(request)
+        return Response(status=status.HTTP_204_NO_CONTENT)
+
+
+class MeView(APIView):
+    def get(self, request):
+        return Response(UserSerializer(request.user).data)
+
+    def patch(self, request):
+        serializer = UserSerializer(request.user, data=request.data, partial=True)
+        serializer.is_valid(raise_exception=True)
+        serializer.save()
+        return Response(serializer.data)
+
+
+class VisitorMigrationView(APIView):
+    def get(self, request):
+        migration = VisitorMigration.objects.filter(user=request.user).first()
+        if migration is None:
+            return Response({"pending": False, "summary": {}})
+        return Response(
+            {
+                "pending": migration.status == VisitorMigration.Status.PENDING,
+                "status": migration.status,
+                "summary": migration.summary,
+            }
+        )
+
+    def post(self, request):
+        migration = VisitorMigration.objects.filter(user=request.user).first()
+        if migration is None:
+            return Response(
+                {"error": {"code": "no_visitor_data", "message": "没有待迁移的游客数据"}},
+                status=status.HTTP_404_NOT_FOUND,
+            )
+        migration = apply_visitor_migration(request.user)
+        return Response(
+            {
+                "pending": False,
+                "status": migration.status,
+                "summary": migration.summary,
+            }
+        )

backend/common/admin.py

@@ -0,0 +1,3 @@
+from django.contrib import admin
+
+# Register your models here.

backend/common/api.py

@@ -0,0 +1,18 @@
+from rest_framework.views import exception_handler as drf_exception_handler
+
+
+def exception_handler(exc, context):
+    response = drf_exception_handler(exc, context)
+    if response is None:
+        return response
+
+    request = context.get("request")
+    response.data = {
+        "error": {
+            "code": getattr(exc, "default_code", "request_error"),
+            "message": "请求未能完成",
+            "details": response.data,
+            "request_id": getattr(request, "request_id", None),
+        }
+    }
+    return response

backend/common/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class CommonConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'common'

backend/common/consumers.py

@@ -0,0 +1,17 @@
+from channels.generic.websocket import AsyncJsonWebsocketConsumer
+
+
+class HealthConsumer(AsyncJsonWebsocketConsumer):
+    group_name = "healthcheck"
+
+    async def connect(self):
+        try:
+            await self.channel_layer.group_add(self.group_name, self.channel_name)
+            await self.channel_layer.group_discard(self.group_name, self.channel_name)
+        except Exception:
+            await self.close(code=1011)
+            return
+
+        await self.accept()
+        await self.send_json({"status": "ok", "channel_layer": "ok"})
+        await self.close()

backend/common/logging.py

@@ -0,0 +1,11 @@
+import contextvars
+import logging
+
+
+request_id_context = contextvars.ContextVar("request_id", default="-")
+
+
+class RequestIDFilter(logging.Filter):
+    def filter(self, record):
+        record.request_id = request_id_context.get()
+        return True

backend/common/management/__init__.py

@@ -0,0 +1 @@
+

backend/common/management/commands/__init__.py

@@ -0,0 +1 @@
+

backend/common/management/commands/check_mysql.py

@@ -0,0 +1,63 @@
+import re
+
+from django.core.management.base import BaseCommand, CommandError
+from django.db import connection
+
+
+MINIMUM_VERSION = (8, 0, 35)
+
+
+class Command(BaseCommand):
+    help = "检查生产 MySQL 的版本、字符集、引擎、严格模式和事务隔离级别"
+
+    def handle(self, *args, **options):
+        if connection.vendor != "mysql":
+            raise CommandError(f"数据库必须是 MySQL，当前为 {connection.vendor}")
+
+        with connection.cursor() as cursor:
+            cursor.execute(
+                """
+                SELECT VERSION(),
+                       @@character_set_server,
+                       @@collation_server,
+                       @@sql_mode,
+                       @@transaction_isolation,
+                       @@default_storage_engine
+                """
+            )
+            (
+                version_text,
+                charset,
+                collation,
+                sql_mode,
+                isolation,
+                storage_engine,
+            ) = cursor.fetchone()
+
+        match = re.match(r"^(\d+)\.(\d+)\.(\d+)", version_text)
+        if match is None:
+            raise CommandError(f"无法解析 MySQL 版本: {version_text}")
+        version = tuple(int(part) for part in match.groups())
+        if version < MINIMUM_VERSION:
+            minimum = ".".join(str(part) for part in MINIMUM_VERSION)
+            raise CommandError(f"MySQL 版本过低: {version_text}，最低要求 {minimum}")
+        if charset.lower() != "utf8mb4":
+            raise CommandError(f"character_set_server 必须是 utf8mb4，当前为 {charset}")
+        if not collation.lower().startswith("utf8mb4_"):
+            raise CommandError(f"collation_server 必须属于 utf8mb4，当前为 {collation}")
+
+        modes = {mode.strip().upper() for mode in sql_mode.split(",")}
+        if not {"STRICT_TRANS_TABLES", "STRICT_ALL_TABLES"} & modes:
+            raise CommandError(f"MySQL 未启用严格模式: {sql_mode}")
+        if isolation.upper().replace("_", "-") != "READ-COMMITTED":
+            raise CommandError(f"事务隔离级别必须是 READ-COMMITTED，当前为 {isolation}")
+        if storage_engine.lower() != "innodb":
+            raise CommandError(f"默认存储引擎必须是 InnoDB，当前为 {storage_engine}")
+
+        self.stdout.write(
+            self.style.SUCCESS(
+                "MySQL 检查通过: "
+                f"version={version_text}, charset={charset}, "
+                f"collation={collation}, isolation={isolation}, engine={storage_engine}"
+            )
+        )

backend/common/middleware.py

@@ -0,0 +1,19 @@
+import uuid
+
+from .logging import request_id_context
+
+
+class RequestIDMiddleware:
+    def __init__(self, get_response):
+        self.get_response = get_response
+
+    def __call__(self, request):
+        request_id = request.headers.get("X-Request-ID") or str(uuid.uuid4())
+        request.request_id = request_id
+        token = request_id_context.set(request_id)
+        try:
+            response = self.get_response(request)
+            response["X-Request-ID"] = request_id
+            return response
+        finally:
+            request_id_context.reset(token)

backend/common/models.py

@@ -0,0 +1,3 @@
+from django.db import models
+
+# Create your models here.

backend/common/tests.py

@@ -0,0 +1,3 @@
+from django.test import TestCase
+
+# Create your tests here.

backend/common/views.py

@@ -0,0 +1,14 @@
+from django.db import connection
+from django.http import JsonResponse
+from django.shortcuts import render
+
+
+def home(request):
+    return render(request, "index.html")
+
+
+def health(request):
+    with connection.cursor() as cursor:
+        cursor.execute("SELECT 1")
+        cursor.fetchone()
+    return JsonResponse({"status": "ok", "database": "ok"})

backend/config/asgi.py

@@ -0,0 +1,29 @@
+import os
+
+os.environ.setdefault("DJANGO_SETTINGS_MODULE", "config.settings")
+
+from channels.auth import AuthMiddlewareStack
+from channels.routing import ProtocolTypeRouter, URLRouter
+from django.core.asgi import get_asgi_application
+from django.urls import path
+
+
+django_asgi_application = get_asgi_application()
+
+from common.consumers import HealthConsumer
+from contest.routing import websocket_urlpatterns
+
+
+application = ProtocolTypeRouter(
+    {
+        "http": django_asgi_application,
+        "websocket": AuthMiddlewareStack(
+            URLRouter(
+                [
+                    path("ws/health/", HealthConsumer.as_asgi()),
+                    *websocket_urlpatterns,
+                ]
+            )
+        ),
+    }
+)

backend/config/settings.py

@@ -0,0 +1,196 @@
+import os
+from pathlib import Path
+
+import dj_database_url
+from django.core.exceptions import ImproperlyConfigured
+
+
+BASE_DIR = Path(__file__).resolve().parent.parent
+PROJECT_ROOT = BASE_DIR.parent
+
+SECRET_KEY = os.getenv("DJANGO_SECRET_KEY", "dev-only-change-before-production")
+DEBUG = os.getenv("DJANGO_DEBUG", "true").lower() == "true"
+if not DEBUG and SECRET_KEY == "dev-only-change-before-production":
+    raise ImproperlyConfigured("生产环境必须设置 DJANGO_SECRET_KEY")
+ALLOWED_HOSTS = [
+    host.strip()
+    for host in os.getenv("DJANGO_ALLOWED_HOSTS", "localhost,127.0.0.1,testserver").split(",")
+    if host.strip()
+]
+
+INSTALLED_APPS = [
+    "django.contrib.admin",
+    "django.contrib.auth",
+    "django.contrib.contenttypes",
+    "django.contrib.sessions",
+    "django.contrib.messages",
+    "django.contrib.staticfiles",
+    "corsheaders",
+    "rest_framework",
+    "channels",
+    "accounts",
+    "math_life",
+    "contest",
+    "progression",
+    "latex_lab",
+    "content",
+    "engagement",
+    "common",
+]
+
+MIDDLEWARE = [
+    "django.middleware.security.SecurityMiddleware",
+    "whitenoise.middleware.WhiteNoiseMiddleware",
+    "corsheaders.middleware.CorsMiddleware",
+    "django.contrib.sessions.middleware.SessionMiddleware",
+    "django.middleware.common.CommonMiddleware",
+    "django.middleware.csrf.CsrfViewMiddleware",
+    "django.contrib.auth.middleware.AuthenticationMiddleware",
+    "django.contrib.messages.middleware.MessageMiddleware",
+    "django.middleware.clickjacking.XFrameOptionsMiddleware",
+    "common.middleware.RequestIDMiddleware",
+]
+
+ROOT_URLCONF = "config.urls"
+TEMPLATES = [
+    {
+        "BACKEND": "django.template.backends.django.DjangoTemplates",
+        "DIRS": [BASE_DIR / "templates"],
+        "APP_DIRS": True,
+        "OPTIONS": {
+            "context_processors": [
+                "django.template.context_processors.debug",
+                "django.template.context_processors.request",
+                "django.contrib.auth.context_processors.auth",
+                "django.contrib.messages.context_processors.messages",
+            ],
+        },
+    },
+]
+
+WSGI_APPLICATION = "config.wsgi.application"
+ASGI_APPLICATION = "config.asgi.application"
+
+DATABASE_URL = os.getenv("DATABASE_URL")
+if not DEBUG and not DATABASE_URL:
+    raise ImproperlyConfigured("生产环境必须设置 MySQL DATABASE_URL")
+if not DEBUG and not DATABASE_URL.startswith("mysql://"):
+    raise ImproperlyConfigured("生产环境 DATABASE_URL 必须使用 MySQL")
+DATABASES = {
+    "default": dj_database_url.parse(
+        DATABASE_URL or f"sqlite:///{BASE_DIR / 'db.sqlite3'}",
+        conn_max_age=60,
+        conn_health_checks=True,
+    )
+}
+if DATABASES["default"]["ENGINE"] == "django.db.backends.mysql":
+    DATABASES["default"]["OPTIONS"] = {
+        "charset": "utf8mb4",
+        "init_command": (
+            "SET sql_mode='STRICT_TRANS_TABLES,ERROR_FOR_DIVISION_BY_ZERO,"
+            "NO_ENGINE_SUBSTITUTION'"
+        ),
+        "isolation_level": "read committed",
+    }
+
+AUTH_PASSWORD_VALIDATORS = [
+    {"NAME": "django.contrib.auth.password_validation.UserAttributeSimilarityValidator"},
+    {"NAME": "django.contrib.auth.password_validation.MinimumLengthValidator"},
+    {"NAME": "django.contrib.auth.password_validation.CommonPasswordValidator"},
+    {"NAME": "django.contrib.auth.password_validation.NumericPasswordValidator"},
+]
+AUTH_USER_MODEL = "accounts.User"
+
+LANGUAGE_CODE = "zh-hans"
+TIME_ZONE = "Asia/Shanghai"
+USE_I18N = True
+USE_TZ = True
+
+STATIC_URL = "/static/"
+STATIC_ROOT = BASE_DIR / "staticfiles"
+STATICFILES_DIRS = [BASE_DIR / "static"]
+STORAGES = {
+    "default": {"BACKEND": "django.core.files.storage.FileSystemStorage"},
+    "staticfiles": {"BACKEND": "whitenoise.storage.CompressedManifestStaticFilesStorage"},
+}
+
+DEFAULT_AUTO_FIELD = "django.db.models.BigAutoField"
+
+REST_FRAMEWORK = {
+    "DEFAULT_AUTHENTICATION_CLASSES": [
+        "rest_framework.authentication.SessionAuthentication",
+    ],
+    "DEFAULT_PERMISSION_CLASSES": [
+        "rest_framework.permissions.IsAuthenticated",
+    ],
+    "DEFAULT_PAGINATION_CLASS": "rest_framework.pagination.PageNumberPagination",
+    "PAGE_SIZE": 20,
+    "EXCEPTION_HANDLER": "common.api.exception_handler",
+    "DEFAULT_THROTTLE_CLASSES": [
+        "rest_framework.throttling.AnonRateThrottle",
+        "rest_framework.throttling.UserRateThrottle",
+    ],
+    "DEFAULT_THROTTLE_RATES": {
+        "anon": os.getenv("API_ANON_RATE", "120/minute"),
+        "user": os.getenv("API_USER_RATE", "600/minute"),
+    },
+}
+
+CORS_ALLOWED_ORIGINS = [
+    origin.strip()
+    for origin in os.getenv("CORS_ALLOWED_ORIGINS", "http://localhost:3000").split(",")
+    if origin.strip()
+]
+CORS_ALLOW_CREDENTIALS = True
+CSRF_TRUSTED_ORIGINS = [
+    origin.strip()
+    for origin in os.getenv("CSRF_TRUSTED_ORIGINS", "").split(",")
+    if origin.strip()
+]
+
+REDIS_URL = os.getenv("REDIS_URL")
+if not DEBUG and not REDIS_URL:
+    raise ImproperlyConfigured("生产环境必须设置 Redis REDIS_URL")
+if REDIS_URL:
+    CHANNEL_LAYERS = {
+        "default": {
+            "BACKEND": "channels_redis.core.RedisChannelLayer",
+            "CONFIG": {"hosts": [REDIS_URL]},
+        }
+    }
+else:
+    CHANNEL_LAYERS = {
+        "default": {"BACKEND": "channels.layers.InMemoryChannelLayer"}
+    }
+
+SESSION_COOKIE_HTTPONLY = True
+SESSION_COOKIE_SAMESITE = "Lax"
+CSRF_COOKIE_SAMESITE = "Lax"
+SECURE_PROXY_SSL_HEADER = ("HTTP_X_FORWARDED_PROTO", "https")
+SECURE_CONTENT_TYPE_NOSNIFF = True
+X_FRAME_OPTIONS = "DENY"
+SECURE_SSL_REDIRECT = not DEBUG
+SESSION_COOKIE_SECURE = not DEBUG
+CSRF_COOKIE_SECURE = not DEBUG
+SECURE_HSTS_SECONDS = int(os.getenv("SECURE_HSTS_SECONDS", "31536000" if not DEBUG else "0"))
+SECURE_HSTS_INCLUDE_SUBDOMAINS = not DEBUG
+SECURE_HSTS_PRELOAD = not DEBUG
+
+LOGGING = {
+    "version": 1,
+    "disable_existing_loggers": False,
+    "formatters": {
+        "standard": {
+            "format": "%(asctime)s %(levelname)s %(name)s request_id=%(request_id)s %(message)s"
+        }
+    },
+    "filters": {"request_id": {"()": "common.logging.RequestIDFilter"}},
+    "handlers": {
+        "console": {
+            "class": "logging.StreamHandler",
+            "formatter": "standard",
+            "filters": ["request_id"],
+        }
+    },
+    "root": {"handlers": ["console"], "level": "INFO"},
+}

backend/config/urls.py

@@ -0,0 +1,21 @@
+from django.contrib import admin
+from django.urls import include, path
+
+from common.views import health, home
+
+
+admin.site.site_header = "葫芦数学运营后台"
+admin.site.site_title = "葫芦数学"
+admin.site.index_title = "内容与运营"
+
+urlpatterns = [
+    path("", home, name="home"),
+    path("health/", health, name="health"),
+    path("admin/", admin.site.urls),
+    path("api/v1/accounts/", include("accounts.urls")),
+    path("api/v1/math-life/", include("math_life.urls")),
+    path("api/v1/contests/", include("contest.urls")),
+    path("api/v1/latex/", include("latex_lab.urls")),
+    path("api/v1/content/", include("content.urls")),
+    path("api/v1/progression/", include("progression.urls")),
+]

backend/config/wsgi.py

@@ -0,0 +1,16 @@
+"""
+WSGI config for config project.
+
+It exposes the WSGI callable as a module-level variable named ``application``.
+
+For more information on this file, see
+https://docs.djangoproject.com/en/4.2/howto/deployment/wsgi/
+"""
+
+import os
+
+from django.core.wsgi import get_wsgi_application
+
+os.environ.setdefault('DJANGO_SETTINGS_MODULE', 'config.settings')
+
+application = get_wsgi_application()

backend/content/admin.py

@@ -0,0 +1,21 @@
+from django.contrib import admin
+
+from .models import ContentInteraction, ContentItem, VideoProgress
+
+
+@admin.register(ContentItem)
+class ContentItemAdmin(admin.ModelAdmin):
+    list_display = (
+        "title",
+        "kind",
+        "ability_dimension",
+        "discipline",
+        "duration_seconds",
+        "is_published",
+    )
+    list_filter = ("kind", "ability_dimension", "discipline", "is_published")
+    search_fields = ("title", "summary", "body")
+
+
+admin.site.register(ContentInteraction)
+admin.site.register(VideoProgress)

backend/content/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class ContentConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'content'

backend/content/migrations/0001_initial.py

@@ -0,0 +1,51 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:15
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+
+
+class Migration(migrations.Migration):
+
+    initial = True
+
+    dependencies = [
+        migrations.swappable_dependency(settings.AUTH_USER_MODEL),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='ContentItem',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField(unique=True)),
+                ('title', models.CharField(max_length=160)),
+                ('kind', models.CharField(choices=[('video', '视频'), ('knowledge', '知识卡片'), ('person', '数学人物')], max_length=16)),
+                ('summary', models.TextField(blank=True)),
+                ('body', models.TextField(blank=True)),
+                ('cover_url', models.URLField(blank=True)),
+                ('media_url', models.URLField(blank=True)),
+                ('topics', models.JSONField(blank=True, default=list)),
+                ('source', models.CharField(blank=True, max_length=300)),
+                ('is_published', models.BooleanField(default=False)),
+                ('published_at', models.DateTimeField(blank=True, null=True)),
+            ],
+            options={
+                'ordering': ['-published_at'],
+            },
+        ),
+        migrations.CreateModel(
+            name='ContentInteraction',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('action', models.CharField(choices=[('view', '浏览'), ('favorite', '收藏'), ('complete', '完成')], max_length=16)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('content', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='interactions', to='content.contentitem')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.AddConstraint(
+            model_name='contentinteraction',
+            constraint=models.UniqueConstraint(fields=('user', 'content', 'action'), name='unique_content_interaction'),
+        ),
+    ]

backend/content/migrations/0002_contentitem_ability_dimension_contentitem_author_and_more.py

@@ -0,0 +1,78 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:47
+
+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),
+        ('content', '0001_initial'),
+    ]
+
+    operations = [
+        migrations.AddField(
+            model_name='contentitem',
+            name='ability_dimension',
+            field=models.CharField(blank=True, choices=[('vision', '数学眼光'), ('humanities', '数学人文'), ('detection', '数学侦探'), ('modeling', '数学建模'), ('connection', '数学联结')], max_length=20),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='author',
+            field=models.CharField(blank=True, max_length=120),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='comment_count',
+            field=models.PositiveIntegerField(default=0),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='discipline',
+            field=models.CharField(blank=True, max_length=80),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='discipline_icon',
+            field=models.CharField(blank=True, max_length=10),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='duration_seconds',
+            field=models.PositiveIntegerField(default=0),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='module',
+            field=models.CharField(blank=True, max_length=40),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='sub_category',
+            field=models.CharField(blank=True, max_length=80),
+        ),
+        migrations.AddField(
+            model_name='contentitem',
+            name='view_count',
+            field=models.PositiveIntegerField(default=0),
+        ),
+        migrations.CreateModel(
+            name='VideoProgress',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('position_seconds', models.PositiveIntegerField(default=0)),
+                ('completed', models.BooleanField(default=False)),
+                ('reward_granted', models.BooleanField(default=False)),
+                ('updated_at', models.DateTimeField(auto_now=True)),
+                ('completed_at', models.DateTimeField(blank=True, null=True)),
+                ('content', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='video_progress', to='content.contentitem')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='video_progress', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.AddConstraint(
+            model_name='videoprogress',
+            constraint=models.UniqueConstraint(fields=('user', 'content'), name='unique_user_video_progress'),
+        ),
+    ]

backend/content/models.py

@@ -0,0 +1,85 @@
+from django.conf import settings
+from django.db import models
+
+
+class ContentItem(models.Model):
+    class Ability(models.TextChoices):
+        VISION = "vision", "数学眼光"
+        HUMANITIES = "humanities", "数学人文"
+        DETECTION = "detection", "数学侦探"
+        MODELING = "modeling", "数学建模"
+        CONNECTION = "connection", "数学联结"
+
+    class Kind(models.TextChoices):
+        VIDEO = "video", "视频"
+        KNOWLEDGE = "knowledge", "知识卡片"
+        PERSON = "person", "数学人物"
+
+    slug = models.SlugField(unique=True)
+    title = models.CharField(max_length=160)
+    kind = models.CharField(max_length=16, choices=Kind.choices)
+    summary = models.TextField(blank=True)
+    body = models.TextField(blank=True)
+    cover_url = models.URLField(blank=True)
+    media_url = models.URLField(blank=True)
+    topics = models.JSONField(default=list, blank=True)
+    source = models.CharField(max_length=300, blank=True)
+    ability_dimension = models.CharField(
+        max_length=20, choices=Ability.choices, blank=True
+    )
+    module = models.CharField(max_length=40, blank=True)
+    sub_category = models.CharField(max_length=80, blank=True)
+    discipline = models.CharField(max_length=80, blank=True)
+    discipline_icon = models.CharField(max_length=10, blank=True)
+    author = models.CharField(max_length=120, blank=True)
+    duration_seconds = models.PositiveIntegerField(default=0)
+    view_count = models.PositiveIntegerField(default=0)
+    comment_count = models.PositiveIntegerField(default=0)
+    is_published = models.BooleanField(default=False)
+    published_at = models.DateTimeField(null=True, blank=True)
+
+    class Meta:
+        ordering = ["-published_at"]
+
+    def __str__(self):
+        return self.title
+
+
+class ContentInteraction(models.Model):
+    class Action(models.TextChoices):
+        VIEW = "view", "浏览"
+        FAVORITE = "favorite", "收藏"
+        COMPLETE = "complete", "完成"
+
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE)
+    content = models.ForeignKey(ContentItem, on_delete=models.CASCADE, related_name="interactions")
+    action = models.CharField(max_length=16, choices=Action.choices)
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(
+                fields=("user", "content", "action"), name="unique_content_interaction"
+            )
+        ]
+
+
+class VideoProgress(models.Model):
+    user = models.ForeignKey(
+        settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="video_progress"
+    )
+    content = models.ForeignKey(
+        ContentItem, on_delete=models.CASCADE, related_name="video_progress"
+    )
+    position_seconds = models.PositiveIntegerField(default=0)
+    completed = models.BooleanField(default=False)
+    reward_granted = models.BooleanField(default=False)
+    updated_at = models.DateTimeField(auto_now=True)
+    completed_at = models.DateTimeField(null=True, blank=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(
+                fields=("user", "content"), name="unique_user_video_progress"
+            )
+        ]

backend/content/services.py

@@ -0,0 +1,68 @@
+from django.db import transaction
+from django.utils import timezone
+from rest_framework.exceptions import ValidationError
+
+from progression.models import RewardTransaction, UserAbility
+
+from .models import ContentInteraction, ContentItem, VideoProgress
+
+
+ABILITY_TO_DIMENSION = {
+    ContentItem.Ability.VISION: UserAbility.Dimension.VISION,
+    ContentItem.Ability.HUMANITIES: UserAbility.Dimension.HUMANITIES,
+    ContentItem.Ability.DETECTION: UserAbility.Dimension.DETECTION,
+    ContentItem.Ability.MODELING: UserAbility.Dimension.MODELING,
+    ContentItem.Ability.CONNECTION: UserAbility.Dimension.CONNECTION,
+}
+
+
+@transaction.atomic
+def complete_video(user, content):
+    if content.kind != ContentItem.Kind.VIDEO:
+        raise ValidationError("只有视频内容可以提交观看完成")
+
+    progress, _ = VideoProgress.objects.select_for_update().get_or_create(
+        user=user,
+        content=content,
+    )
+    progress.position_seconds = max(progress.position_seconds, content.duration_seconds)
+    progress.completed = True
+    progress.completed_at = progress.completed_at or timezone.now()
+
+    reward = None
+    dimension = ABILITY_TO_DIMENSION.get(content.ability_dimension)
+    if dimension and not progress.reward_granted:
+        transaction_key = f"video-complete:{content.id}"
+        reward_tx, created = RewardTransaction.objects.get_or_create(
+            user=user,
+            idempotency_key=transaction_key,
+            defaults={
+                "source": "video_complete",
+                "rewards": {"ability": dimension, "fragments": 1},
+            },
+        )
+        if created:
+            ability, _ = UserAbility.objects.select_for_update().get_or_create(
+                user=user,
+                dimension=dimension,
+            )
+            ability.fragments += 1
+            ability.save(update_fields=["fragments"])
+        progress.reward_granted = True
+        reward = reward_tx.rewards
+
+    progress.save(
+        update_fields=[
+            "position_seconds",
+            "completed",
+            "completed_at",
+            "reward_granted",
+            "updated_at",
+        ]
+    )
+    ContentInteraction.objects.get_or_create(
+        user=user,
+        content=content,
+        action=ContentInteraction.Action.COMPLETE,
+    )
+    return progress, reward

backend/content/test_services.py

@@ -0,0 +1,64 @@
+import pytest
+from rest_framework.exceptions import ValidationError
+
+from accounts.models import User
+from content.models import ContentInteraction, ContentItem, VideoProgress
+from content.services import complete_video
+from progression.models import RewardTransaction, UserAbility
+
+
+@pytest.mark.django_db
+def test_complete_video_重复提交只发放一次能力碎片():
+    user = User.objects.create_user(
+        username="video_user",
+        password="StrongPass_2026",
+        nickname="视频用户",
+    )
+    video = ContentItem.objects.create(
+        slug="video-modeling",
+        title="建模视频",
+        kind=ContentItem.Kind.VIDEO,
+        ability_dimension=ContentItem.Ability.MODELING,
+        duration_seconds=360,
+        is_published=True,
+    )
+
+    first, first_reward = complete_video(user, video)
+    second, second_reward = complete_video(user, video)
+
+    ability = UserAbility.objects.get(
+        user=user,
+        dimension=UserAbility.Dimension.MODELING,
+    )
+    assert first.completed is True
+    assert second.reward_granted is True
+    assert first_reward == {"ability": "modeling", "fragments": 1}
+    assert second_reward is None
+    assert ability.fragments == 1
+    assert RewardTransaction.objects.filter(user=user).count() == 1
+    assert VideoProgress.objects.filter(user=user, content=video).count() == 1
+    assert ContentInteraction.objects.filter(
+        user=user,
+        content=video,
+        action=ContentInteraction.Action.COMPLETE,
+    ).count() == 1
+
+
+@pytest.mark.django_db
+def test_complete_video_非视频内容拒绝完成():
+    user = User.objects.create_user(
+        username="knowledge_user",
+        password="StrongPass_2026",
+        nickname="知识用户",
+    )
+    content = ContentItem.objects.create(
+        slug="knowledge-item",
+        title="知识卡片",
+        kind=ContentItem.Kind.KNOWLEDGE,
+        is_published=True,
+    )
+
+    with pytest.raises(ValidationError, match="只有视频"):
+        complete_video(user, content)
+
+    assert RewardTransaction.objects.count() == 0

backend/content/tests.py

@@ -0,0 +1,3 @@
+from django.test import TestCase
+
+# Create your tests here.

backend/content/urls.py

@@ -0,0 +1,18 @@
+from django.urls import path
+
+from .views import (
+    ContentDetailView,
+    ContentListView,
+    FavoriteView,
+    VideoCatalogView,
+    VideoCompleteView,
+)
+
+
+urlpatterns = [
+    path("", ContentListView.as_view(), name="content-list"),
+    path("videos/catalog/", VideoCatalogView.as_view(), name="video-catalog"),
+    path("<slug:slug>/", ContentDetailView.as_view(), name="content-detail"),
+    path("<slug:slug>/favorite/", FavoriteView.as_view(), name="content-favorite"),
+    path("<slug:slug>/complete/", VideoCompleteView.as_view(), name="video-complete"),
+]

backend/content/views.py

@@ -0,0 +1,181 @@
+from django.db.models import Count
+from django.shortcuts import get_object_or_404
+from rest_framework import permissions, status
+from rest_framework.response import Response
+from rest_framework.views import APIView
+
+from .models import ContentInteraction, ContentItem, VideoProgress
+from .services import complete_video
+
+
+ABILITY_META = {
+    ContentItem.Ability.VISION: {"label": "数学眼光", "icon": "◉", "color": "#5d73e8"},
+    ContentItem.Ability.HUMANITIES: {"label": "数学人文", "icon": "▤", "color": "#b76d38"},
+    ContentItem.Ability.DETECTION: {"label": "数学侦探", "icon": "⌕", "color": "#287f78"},
+    ContentItem.Ability.MODELING: {"label": "数学建模", "icon": "⌁", "color": "#d98628"},
+    ContentItem.Ability.CONNECTION: {"label": "数学联结", "icon": "⛓", "color": "#8667b5"},
+}
+
+
+def serialize_item(item, progress=None):
+    return {
+        "slug": item.slug,
+        "title": item.title,
+        "kind": item.kind,
+        "summary": item.summary,
+        "body": item.body,
+        "cover_url": item.cover_url,
+        "media_url": item.media_url,
+        "topics": item.topics,
+        "source": item.source,
+        "ability_dimension": item.ability_dimension,
+        "ability": ABILITY_META.get(item.ability_dimension),
+        "module": item.module,
+        "sub_category": item.sub_category,
+        "discipline": item.discipline,
+        "discipline_icon": item.discipline_icon,
+        "author": item.author,
+        "duration_seconds": item.duration_seconds,
+        "view_count": item.view_count,
+        "comment_count": item.comment_count,
+        "published_at": item.published_at,
+        "progress": (
+            {
+                "position_seconds": progress.position_seconds,
+                "completed": progress.completed,
+                "reward_granted": progress.reward_granted,
+            }
+            if progress
+            else None
+        ),
+    }
+
+
+class ContentListView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request):
+        queryset = ContentItem.objects.filter(is_published=True)
+        kind = request.query_params.get("kind")
+        ability = request.query_params.get("ability")
+        discipline = request.query_params.get("discipline")
+        if kind:
+            queryset = queryset.filter(kind=kind)
+        if ability:
+            queryset = queryset.filter(ability_dimension=ability)
+        if discipline:
+            queryset = queryset.filter(discipline=discipline)
+
+        progress_by_content = {}
+        if request.user.is_authenticated:
+            progress_by_content = {
+                item.content_id: item
+                for item in VideoProgress.objects.filter(
+                    user=request.user,
+                    content__in=queryset,
+                )
+            }
+        return Response(
+            [
+                serialize_item(item, progress_by_content.get(item.id))
+                for item in queryset[:100]
+            ]
+        )
+
+
+class VideoCatalogView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request):
+        videos = ContentItem.objects.filter(
+            kind=ContentItem.Kind.VIDEO,
+            is_published=True,
+        )
+        counts = {
+            row["ability_dimension"]: row["count"]
+            for row in videos.values("ability_dimension").annotate(count=Count("id"))
+        }
+        abilities = [
+            {
+                "id": ability,
+                **meta,
+                "count": counts.get(ability, 0),
+            }
+            for ability, meta in ABILITY_META.items()
+        ]
+        disciplines = [
+            {
+                "name": row["discipline"],
+                "icon": row["discipline_icon"],
+                "count": row["count"],
+            }
+            for row in videos.values("discipline", "discipline_icon")
+            .annotate(count=Count("id"))
+            .order_by("discipline")
+        ]
+        return Response(
+            {
+                "total": videos.count(),
+                "abilities": abilities,
+                "disciplines": disciplines,
+            }
+        )
+
+
+class ContentDetailView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request, slug):
+        item = get_object_or_404(ContentItem, slug=slug, is_published=True)
+        progress = None
+        if request.user.is_authenticated:
+            ContentInteraction.objects.get_or_create(
+                user=request.user,
+                content=item,
+                action=ContentInteraction.Action.VIEW,
+            )
+            progress, _ = VideoProgress.objects.get_or_create(
+                user=request.user,
+                content=item,
+            )
+        return Response(serialize_item(item, progress))
+
+
+class VideoCompleteView(APIView):
+    def post(self, request, slug):
+        item = get_object_or_404(
+            ContentItem,
+            slug=slug,
+            kind=ContentItem.Kind.VIDEO,
+            is_published=True,
+        )
+        progress, reward = complete_video(request.user, item)
+        return Response(
+            {
+                "completed": progress.completed,
+                "reward_granted": progress.reward_granted,
+                "reward": reward,
+            }
+        )
+
+
+class FavoriteView(APIView):
+    def post(self, request, slug):
+        item = get_object_or_404(ContentItem, slug=slug, is_published=True)
+        _, created = ContentInteraction.objects.get_or_create(
+            user=request.user,
+            content=item,
+            action=ContentInteraction.Action.FAVORITE,
+        )
+        return Response(
+            {"favorite": True},
+            status=status.HTTP_201_CREATED if created else status.HTTP_200_OK,
+        )
+
+    def delete(self, request, slug):
+        ContentInteraction.objects.filter(
+            user=request.user,
+            content__slug=slug,
+            action=ContentInteraction.Action.FAVORITE,
+        ).delete()
+        return Response(status=status.HTTP_204_NO_CONTENT)

backend/contest/admin.py

@@ -0,0 +1,47 @@
+from django.contrib import admin
+
+from .models import (
+    CheatFlag,
+    Contest,
+    ContestAnswer,
+    ContestAttempt,
+    ContestQuestion,
+    LeaderboardSnapshot,
+    Question,
+    QuestionVersion,
+    RatingHistory,
+    RealtimeMatch,
+)
+
+
+class ContestQuestionInline(admin.TabularInline):
+    model = ContestQuestion
+    extra = 1
+
+
+@admin.register(Contest)
+class ContestAdmin(admin.ModelAdmin):
+    list_display = ("title", "kind", "track", "status", "starts_at", "ends_at")
+    list_filter = ("kind", "track", "status")
+    inlines = [ContestQuestionInline]
+
+
+@admin.register(ContestAttempt)
+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")
+
+
+@admin.register(CheatFlag)
+class CheatFlagAdmin(admin.ModelAdmin):
+    list_display = ("attempt", "reason", "status", "created_at")
+    list_filter = ("status", "reason")
+
+
+admin.site.register(Question)
+admin.site.register(QuestionVersion)
+admin.site.register(ContestAnswer)
+admin.site.register(RealtimeMatch)
+admin.site.register(RatingHistory)
+admin.site.register(LeaderboardSnapshot)

backend/contest/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class ContestConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'contest'

backend/contest/consumers.py

@@ -0,0 +1,54 @@
+from channels.db import database_sync_to_async
+from channels.generic.websocket import AsyncJsonWebsocketConsumer
+
+from .models import RealtimeMatch
+
+
+class MatchConsumer(AsyncJsonWebsocketConsumer):
+    async def connect(self):
+        self.match_id = self.scope["url_route"]["kwargs"]["match_id"]
+        self.group_name = f"match_{self.match_id}"
+        user = self.scope["user"]
+        if not user.is_authenticated or not await self._is_participant(user.id):
+            await self.close(code=4403)
+            return
+        await self.channel_layer.group_add(self.group_name, self.channel_name)
+        await self.accept()
+        await self.send_json({"type": "connected", "match_id": str(self.match_id)})
+
+    async def disconnect(self, close_code):
+        if hasattr(self, "group_name"):
+            await self.channel_layer.group_discard(self.group_name, self.channel_name)
+
+    async def receive_json(self, content, **kwargs):
+        event_type = content.get("type")
+        if event_type == "ping":
+            await self.send_json({"type": "pong"})
+            return
+        if event_type == "progress":
+            answered_count = max(0, min(int(content.get("answered_count", 0)), 100))
+            await self.channel_layer.group_send(
+                self.group_name,
+                {
+                    "type": "match.progress",
+                    "user_id": str(self.scope["user"].id),
+                    "answered_count": answered_count,
+                },
+            )
+
+    async def match_progress(self, event):
+        await self.send_json(
+            {
+                "type": "progress",
+                "user_id": event["user_id"],
+                "answered_count": event["answered_count"],
+            }
+        )
+
+    @database_sync_to_async
+    def _is_participant(self, user_id):
+        return RealtimeMatch.objects.filter(id=self.match_id).filter(
+            player_one_id=user_id
+        ).exists() or RealtimeMatch.objects.filter(
+            id=self.match_id, player_two_id=user_id
+        ).exists()

backend/contest/management/__init__.py

@@ -0,0 +1 @@
+

backend/contest/management/commands/__init__.py

@@ -0,0 +1 @@
+

backend/contest/management/commands/seed_contests.py

@@ -0,0 +1,112 @@
+from django.core.management.base import BaseCommand
+
+from contest.models import Contest, ContestQuestion, Question, QuestionVersion
+
+
+QUESTIONS = {
+    Question.Track.BEGINNER: [
+        ("b-12-plus-19", "12 + 19", "31"),
+        ("b-8-times-7", "8 × 7", "56"),
+        ("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"
+
+    def handle(self, *args, **options):
+        versions = {}
+        for track, questions in QUESTIONS.items():
+            versions[track] = []
+            for slug, prompt, answer in questions:
+                question, _ = Question.objects.update_or_create(
+                    slug=slug,
+                    defaults={"track": track, "tags": ["口算"], "is_active": True},
+                )
+                version, _ = QuestionVersion.objects.update_or_create(
+                    question=question,
+                    version=1,
+                    defaults={
+                        "prompt": prompt,
+                        "answer": answer,
+                        "explanation": f"答案为 {answer}",
+                    },
+                )
+                versions[track].append(version)
+
+        contest_specs = []
+        for track, label in (
+            (Question.Track.BEGINNER, "入门"),
+            (Question.Track.STANDARD, "标准"),
+            (Question.Track.ADVANCED, "进阶"),
+        ):
+            contest_specs.extend(
+                [
+                    (
+                        f"realtime-{track}",
+                        f"{label}实时 1v1",
+                        Contest.Kind.REALTIME,
+                        track,
+                        60,
+                    ),
+                    (
+                        f"daily-{track}",
+                        f"{label}今日挑战",
+                        Contest.Kind.DAILY,
+                        track,
+                        180,
+                    ),
+                    (
+                        f"practice-{track}",
+                        f"{label}单人闯关",
+                        Contest.Kind.PRACTICE,
+                        track,
+                        300,
+                    ),
+                ]
+            )
+        for slug, title, kind, track, duration in contest_specs:
+            contest, _ = Contest.objects.update_or_create(
+                slug=slug,
+                defaults={
+                    "title": title,
+                    "kind": kind,
+                    "track": track,
+                    "duration_seconds": duration,
+                    "status": Contest.Status.PUBLISHED,
+                },
+            )
+            ContestQuestion.objects.filter(contest=contest).delete()
+            ContestQuestion.objects.bulk_create(
+                [
+                    ContestQuestion(
+                        contest=contest,
+                        question_version=version,
+                        order=index,
+                        points=100,
+                    )
+                    for index, version in enumerate(versions[track], start=1)
+                ]
+            )
+        self.stdout.write(
+            self.style.SUCCESS(
+                f"已创建 {sum(map(len, QUESTIONS.values()))} 道题和 {len(contest_specs)} 场比赛"
+            )
+        )

backend/contest/migrations/0001_initial.py

@@ -0,0 +1,166 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:15
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+import uuid
+
+
+class Migration(migrations.Migration):
+
+    initial = True
+
+    dependencies = [
+        migrations.swappable_dependency(settings.AUTH_USER_MODEL),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='Contest',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField(unique=True)),
+                ('title', models.CharField(max_length=120)),
+                ('kind', models.CharField(choices=[('realtime', '实时 1v1'), ('daily', '今日挑战'), ('practice', '单人闯关'), ('weekly', '主题周赛')], max_length=16)),
+                ('track', models.CharField(choices=[('beginner', '入门'), ('standard', '标准'), ('advanced', '进阶'), ('open', 'Open')], max_length=16)),
+                ('status', models.CharField(choices=[('draft', '草稿'), ('published', '已发布'), ('closed', '已结束')], default='draft', max_length=16)),
+                ('duration_seconds', models.PositiveIntegerField(default=60)),
+                ('starts_at', models.DateTimeField(blank=True, null=True)),
+                ('ends_at', models.DateTimeField(blank=True, null=True)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='Question',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField(unique=True)),
+                ('track', models.CharField(choices=[('beginner', '入门'), ('standard', '标准'), ('advanced', '进阶'), ('open', 'Open')], max_length=16)),
+                ('tags', models.JSONField(blank=True, default=list)),
+                ('is_active', models.BooleanField(default=True)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='RealtimeMatch',
+            fields=[
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('status', models.CharField(choices=[('waiting', '等待对手'), ('active', '进行中'), ('completed', '已完成'), ('cancelled', '已取消')], default='waiting', max_length=16)),
+                ('player_one_rating', models.PositiveIntegerField()),
+                ('player_two_rating', models.PositiveIntegerField(blank=True, null=True)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('started_at', models.DateTimeField(blank=True, null=True)),
+                ('completed_at', models.DateTimeField(blank=True, null=True)),
+                ('contest', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, to='contest.contest')),
+                ('player_one', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, related_name='matches_as_player_one', to=settings.AUTH_USER_MODEL)),
+                ('player_two', models.ForeignKey(blank=True, null=True, on_delete=django.db.models.deletion.PROTECT, related_name='matches_as_player_two', to=settings.AUTH_USER_MODEL)),
+                ('winner', models.ForeignKey(blank=True, null=True, on_delete=django.db.models.deletion.PROTECT, related_name='won_matches', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='RatingHistory',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('rating_before', models.PositiveIntegerField()),
+                ('rating_after', models.PositiveIntegerField()),
+                ('delta', models.SmallIntegerField()),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('match', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, related_name='rating_changes', to='contest.realtimematch')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='rating_history', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='QuestionVersion',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('version', models.PositiveIntegerField()),
+                ('prompt', models.TextField()),
+                ('answer', models.CharField(max_length=200)),
+                ('explanation', models.TextField(blank=True)),
+                ('metadata', models.JSONField(blank=True, default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('question', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='versions', to='contest.question')),
+            ],
+        ),
+        migrations.CreateModel(
+            name='LeaderboardSnapshot',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('track', models.CharField(choices=[('beginner', '入门'), ('standard', '标准'), ('advanced', '进阶'), ('open', 'Open')], max_length=16)),
+                ('period', models.CharField(max_length=40)),
+                ('rankings', models.JSONField(default=list)),
+                ('generated_at', models.DateTimeField(auto_now_add=True)),
+                ('contest', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, to='contest.contest')),
+            ],
+        ),
+        migrations.CreateModel(
+            name='ContestQuestion',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('order', models.PositiveIntegerField()),
+                ('points', models.PositiveIntegerField(default=100)),
+                ('contest', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='contest_questions', to='contest.contest')),
+                ('question_version', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, to='contest.questionversion')),
+            ],
+            options={
+                'ordering': ['order'],
+            },
+        ),
+        migrations.CreateModel(
+            name='ContestAttempt',
+            fields=[
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('status', models.CharField(choices=[('active', '进行中'), ('submitted', '已提交'), ('expired', '已超时')], default='active', max_length=16)),
+                ('score', models.PositiveIntegerField(default=0)),
+                ('correct_count', models.PositiveIntegerField(default=0)),
+                ('answer_count', models.PositiveIntegerField(default=0)),
+                ('duration_ms', models.PositiveIntegerField(default=0)),
+                ('submission_key', models.CharField(blank=True, max_length=80, null=True)),
+                ('started_at', models.DateTimeField(auto_now_add=True)),
+                ('submitted_at', models.DateTimeField(blank=True, null=True)),
+                ('contest', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, related_name='attempts', to='contest.contest')),
+                ('match', models.ForeignKey(blank=True, null=True, on_delete=django.db.models.deletion.PROTECT, related_name='attempts', to='contest.realtimematch')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='contest_attempts', to=settings.AUTH_USER_MODEL)),
+            ],
+            options={
+                'ordering': ['-started_at'],
+            },
+        ),
+        migrations.CreateModel(
+            name='ContestAnswer',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('submitted_answer', models.CharField(max_length=200)),
+                ('is_correct', models.BooleanField()),
+                ('elapsed_ms', models.PositiveIntegerField()),
+                ('answered_at', models.DateTimeField(auto_now_add=True)),
+                ('attempt', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='answers', to='contest.contestattempt')),
+                ('contest_question', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, to='contest.contestquestion')),
+            ],
+        ),
+        migrations.CreateModel(
+            name='CheatFlag',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('reason', models.CharField(max_length=120)),
+                ('evidence', models.JSONField(default=dict)),
+                ('status', models.CharField(choices=[('open', '待处理'), ('dismissed', '已忽略'), ('confirmed', '已确认')], default='open', max_length=16)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('attempt', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='cheat_flags', to='contest.contestattempt')),
+            ],
+        ),
+        migrations.AddConstraint(
+            model_name='questionversion',
+            constraint=models.UniqueConstraint(fields=('question', 'version'), name='unique_question_version'),
+        ),
+        migrations.AddConstraint(
+            model_name='contestquestion',
+            constraint=models.UniqueConstraint(fields=('contest', 'order'), name='unique_contest_question_order'),
+        ),
+        migrations.AddConstraint(
+            model_name='contestattempt',
+            constraint=models.UniqueConstraint(fields=('user', 'submission_key'), name='unique_user_contest_submission'),
+        ),
+        migrations.AddConstraint(
+            model_name='contestanswer',
+            constraint=models.UniqueConstraint(fields=('attempt', 'contest_question'), name='unique_attempt_question_answer'),
+        ),
+    ]

backend/contest/migrations/0002_realtimematch_matchmaking_lookup_idx.py

@@ -0,0 +1,17 @@
+# Generated by Django 4.2.23 on 2026-08-08 13:02
+
+from django.db import migrations, models
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('contest', '0001_initial'),
+    ]
+
+    operations = [
+        migrations.AddIndex(
+            model_name='realtimematch',
+            index=models.Index(fields=['contest', 'status', 'player_one_rating', 'created_at'], name='matchmaking_lookup_idx'),
+        ),
+    ]

backend/contest/models.py

@@ -0,0 +1,194 @@
+import uuid
+
+from django.conf import settings
+from django.db import models
+
+
+class Question(models.Model):
+    class Track(models.TextChoices):
+        BEGINNER = "beginner", "入门"
+        STANDARD = "standard", "标准"
+        ADVANCED = "advanced", "进阶"
+        OPEN = "open", "Open"
+
+    slug = models.SlugField(unique=True)
+    track = models.CharField(max_length=16, choices=Track.choices)
+    tags = models.JSONField(default=list, blank=True)
+    is_active = models.BooleanField(default=True)
+
+    def __str__(self):
+        return self.slug
+
+
+class QuestionVersion(models.Model):
+    question = models.ForeignKey(Question, on_delete=models.CASCADE, related_name="versions")
+    version = models.PositiveIntegerField()
+    prompt = models.TextField()
+    answer = models.CharField(max_length=200)
+    explanation = models.TextField(blank=True)
+    metadata = models.JSONField(default=dict, blank=True)
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(fields=("question", "version"), name="unique_question_version")
+        ]
+
+    def __str__(self):
+        return f"{self.question.slug} v{self.version}"
+
+
+class Contest(models.Model):
+    class Kind(models.TextChoices):
+        REALTIME = "realtime", "实时 1v1"
+        DAILY = "daily", "今日挑战"
+        PRACTICE = "practice", "单人闯关"
+        WEEKLY = "weekly", "主题周赛"
+
+    class Status(models.TextChoices):
+        DRAFT = "draft", "草稿"
+        PUBLISHED = "published", "已发布"
+        CLOSED = "closed", "已结束"
+
+    slug = models.SlugField(unique=True)
+    title = models.CharField(max_length=120)
+    kind = models.CharField(max_length=16, choices=Kind.choices)
+    track = models.CharField(max_length=16, choices=Question.Track.choices)
+    status = models.CharField(max_length=16, choices=Status.choices, default=Status.DRAFT)
+    duration_seconds = models.PositiveIntegerField(default=60)
+    starts_at = models.DateTimeField(null=True, blank=True)
+    ends_at = models.DateTimeField(null=True, blank=True)
+
+    def __str__(self):
+        return self.title
+
+
+class ContestQuestion(models.Model):
+    contest = models.ForeignKey(Contest, on_delete=models.CASCADE, related_name="contest_questions")
+    question_version = models.ForeignKey(QuestionVersion, on_delete=models.PROTECT)
+    order = models.PositiveIntegerField()
+    points = models.PositiveIntegerField(default=100)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(fields=("contest", "order"), name="unique_contest_question_order")
+        ]
+        ordering = ["order"]
+
+
+class RealtimeMatch(models.Model):
+    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"
+
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    contest = models.ForeignKey(Contest, on_delete=models.PROTECT)
+    player_one = models.ForeignKey(
+        settings.AUTH_USER_MODEL, on_delete=models.PROTECT, related_name="matches_as_player_one"
+    )
+    player_two = models.ForeignKey(
+        settings.AUTH_USER_MODEL,
+        null=True,
+        blank=True,
+        on_delete=models.PROTECT,
+        related_name="matches_as_player_two",
+    )
+    status = models.CharField(max_length=16, choices=Status.choices, default=Status.WAITING)
+    player_one_rating = models.PositiveIntegerField()
+    player_two_rating = models.PositiveIntegerField(null=True, blank=True)
+    winner = models.ForeignKey(
+        settings.AUTH_USER_MODEL,
+        null=True,
+        blank=True,
+        on_delete=models.PROTECT,
+        related_name="won_matches",
+    )
+    created_at = models.DateTimeField(auto_now_add=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"),
+                name="matchmaking_lookup_idx",
+            )
+        ]
+
+
+class ContestAttempt(models.Model):
+    class Status(models.TextChoices):
+        ACTIVE = "active", "进行中"
+        SUBMITTED = "submitted", "已提交"
+        EXPIRED = "expired", "已超时"
+
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    contest = models.ForeignKey(Contest, on_delete=models.PROTECT, related_name="attempts")
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="contest_attempts")
+    match = models.ForeignKey(
+        RealtimeMatch, null=True, blank=True, on_delete=models.PROTECT, related_name="attempts"
+    )
+    status = models.CharField(max_length=16, choices=Status.choices, default=Status.ACTIVE)
+    score = models.PositiveIntegerField(default=0)
+    correct_count = models.PositiveIntegerField(default=0)
+    answer_count = models.PositiveIntegerField(default=0)
+    duration_ms = models.PositiveIntegerField(default=0)
+    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)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(
+                fields=("user", "submission_key"), name="unique_user_contest_submission"
+            )
+        ]
+        ordering = ["-started_at"]
+
+
+class ContestAnswer(models.Model):
+    attempt = models.ForeignKey(ContestAttempt, on_delete=models.CASCADE, related_name="answers")
+    contest_question = models.ForeignKey(ContestQuestion, on_delete=models.PROTECT)
+    submitted_answer = models.CharField(max_length=200)
+    is_correct = models.BooleanField()
+    elapsed_ms = models.PositiveIntegerField()
+    answered_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(
+                fields=("attempt", "contest_question"), name="unique_attempt_question_answer"
+            )
+        ]
+
+
+class RatingHistory(models.Model):
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="rating_history")
+    match = models.ForeignKey(RealtimeMatch, on_delete=models.PROTECT, related_name="rating_changes")
+    rating_before = models.PositiveIntegerField()
+    rating_after = models.PositiveIntegerField()
+    delta = models.SmallIntegerField()
+    created_at = models.DateTimeField(auto_now_add=True)
+
+
+class LeaderboardSnapshot(models.Model):
+    contest = models.ForeignKey(Contest, on_delete=models.CASCADE)
+    track = models.CharField(max_length=16, choices=Question.Track.choices)
+    period = models.CharField(max_length=40)
+    rankings = models.JSONField(default=list)
+    generated_at = models.DateTimeField(auto_now_add=True)
+
+
+class CheatFlag(models.Model):
+    class Status(models.TextChoices):
+        OPEN = "open", "待处理"
+        DISMISSED = "dismissed", "已忽略"
+        CONFIRMED = "confirmed", "已确认"
+
+    attempt = models.ForeignKey(ContestAttempt, on_delete=models.CASCADE, related_name="cheat_flags")
+    reason = models.CharField(max_length=120)
+    evidence = models.JSONField(default=dict)
+    status = models.CharField(max_length=16, choices=Status.choices, default=Status.OPEN)
+    created_at = models.DateTimeField(auto_now_add=True)

backend/contest/routing.py

@@ -0,0 +1,8 @@
+from django.urls import path
+
+from .consumers import MatchConsumer
+
+
+websocket_urlpatterns = [
+    path("ws/v1/contest/matches/<uuid:match_id>/", MatchConsumer.as_asgi()),
+]

backend/contest/services.py

@@ -0,0 +1,279 @@
+from decimal import Decimal
+
+from django.db import transaction
+from django.db.models import Q
+from django.utils import timezone
+from rest_framework.exceptions import ValidationError
+
+from accounts.models import User
+from .models import (
+    CheatFlag,
+    Contest,
+    ContestAnswer,
+    ContestAttempt,
+    RatingHistory,
+    RealtimeMatch,
+)
+
+
+def normalize_answer(value):
+    text = str(value).strip().lower().replace(" ", "")
+    try:
+        return str(Decimal(text).normalize())
+    except Exception:
+        return text
+
+
+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():
+        question = {
+            "order": item.order,
+            "prompt": item.question_version.prompt,
+            "metadata": item.question_version.metadata,
+            "points": item.points,
+        }
+        if include_results and item.id in answers:
+            answer = answers[item.id]
+            question.update(
+                {
+                    "submitted_answer": answer.submitted_answer,
+                    "is_correct": answer.is_correct,
+                    "correct_answer": item.question_version.answer,
+                    "explanation": item.question_version.explanation,
+                }
+            )
+        questions.append(question)
+    return {
+        "attempt_id": attempt.id,
+        "contest": attempt.contest.title,
+        "kind": attempt.contest.kind,
+        "status": attempt.status,
+        "duration_seconds": attempt.contest.duration_seconds,
+        "server_started_at": attempt.started_at,
+        "score": attempt.score,
+        "correct_count": attempt.correct_count,
+        "answer_count": attempt.answer_count,
+        "duration_ms": attempt.duration_ms,
+        "questions": questions,
+    }
+
+
+@transaction.atomic
+def start_attempt(user, contest):
+    now = timezone.now()
+    if contest.status != Contest.Status.PUBLISHED:
+        raise ValidationError("比赛尚未发布")
+    if contest.starts_at and contest.starts_at > now:
+        raise ValidationError("比赛尚未开始")
+    if contest.ends_at and contest.ends_at <= now:
+        raise ValidationError("比赛已经结束")
+    if contest.kind == Contest.Kind.DAILY:
+        existing = ContestAttempt.objects.filter(user=user, contest=contest).first()
+        if existing:
+            return attempt_payload(
+                existing,
+                include_results=existing.status != ContestAttempt.Status.ACTIVE,
+            )
+    attempt = ContestAttempt.objects.create(contest=contest, user=user)
+    return attempt_payload(attempt)
+
+
+@transaction.atomic
+def submit_attempt(user, attempt_id, raw_answers, submission_key):
+    attempt = (
+        ContestAttempt.objects.select_for_update()
+        .select_related("contest")
+        .get(id=attempt_id, user=user)
+    )
+    if attempt.status != ContestAttempt.Status.ACTIVE:
+        if submission_key and attempt.submission_key == submission_key:
+            return attempt_payload(attempt, include_results=True)
+        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"})
+
+    now = timezone.now()
+    duration_ms = max(0, int((now - attempt.started_at).total_seconds() * 1000))
+    limit_ms = attempt.contest.duration_seconds * 1000
+    items = list(
+        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 = {}
+    try:
+        for item in raw_answers:
+            order = int(item["order"])
+            if order <= 0 or order in by_order:
+                raise ValueError
+            by_order[order] = item.get("answer", "")
+    except (KeyError, TypeError, ValueError) as exc:
+        raise ValidationError({"answers": "答案题号无效或重复"}) from exc
+    score = 0
+    correct_count = 0
+    for contest_question in items:
+        submitted = str(by_order.get(contest_question.order, ""))[:200]
+        correct = normalize_answer(submitted) == normalize_answer(
+            contest_question.question_version.answer
+        )
+        if correct and duration_ms <= limit_ms:
+            score += contest_question.points
+            correct_count += 1
+        ContestAnswer.objects.create(
+            attempt=attempt,
+            contest_question=contest_question,
+            submitted_answer=submitted,
+            is_correct=correct and duration_ms <= limit_ms,
+            elapsed_ms=min(duration_ms, limit_ms + 60_000),
+        )
+
+    attempt.status = (
+        ContestAttempt.Status.SUBMITTED
+        if duration_ms <= limit_ms
+        else ContestAttempt.Status.EXPIRED
+    )
+    attempt.score = score
+    attempt.correct_count = correct_count
+    attempt.answer_count = len(raw_answers)
+    attempt.duration_ms = duration_ms
+    attempt.submission_key = submission_key
+    attempt.submitted_at = now
+    attempt.save()
+
+    if raw_answers and duration_ms / len(raw_answers) < 150:
+        CheatFlag.objects.create(
+            attempt=attempt,
+            reason="extreme_answer_speed",
+            evidence={
+                "duration_ms": duration_ms,
+                "answer_count": len(raw_answers),
+            },
+        )
+    if attempt.match_id:
+        finalize_match(attempt.match_id)
+    return attempt_payload(attempt, include_results=True)
+
+
+@transaction.atomic
+def find_match(user, contest):
+    if contest.kind != Contest.Kind.REALTIME or contest.status != Contest.Status.PUBLISHED:
+        raise ValidationError("实时比赛不可用")
+    existing = (
+        RealtimeMatch.objects.filter(
+            Q(player_one=user) | Q(player_two=user),
+            contest=contest,
+            status__in=[RealtimeMatch.Status.WAITING, RealtimeMatch.Status.ACTIVE],
+        )
+        .order_by("-created_at")
+        .first()
+    )
+    if existing:
+        return existing
+
+    waiting = (
+        RealtimeMatch.objects.select_for_update(skip_locked=True)
+        .filter(
+            contest=contest,
+            status=RealtimeMatch.Status.WAITING,
+            player_one_rating__gte=max(0, user.rating - 300),
+            player_one_rating__lte=user.rating + 300,
+        )
+        .exclude(player_one=user)
+        .order_by("created_at")
+        .first()
+    )
+    if waiting is None:
+        return RealtimeMatch.objects.create(
+            contest=contest,
+            player_one=user,
+            player_one_rating=user.rating,
+        )
+
+    waiting.player_two = user
+    waiting.player_two_rating = user.rating
+    waiting.status = RealtimeMatch.Status.ACTIVE
+    waiting.started_at = timezone.now()
+    waiting.save(
+        update_fields=["player_two", "player_two_rating", "status", "started_at"]
+    )
+    ContestAttempt.objects.bulk_create(
+        [
+            ContestAttempt(contest=contest, user=waiting.player_one, match=waiting),
+            ContestAttempt(contest=contest, user=user, match=waiting),
+        ]
+    )
+    return waiting
+
+
+def match_payload(match, user):
+    attempt = match.attempts.filter(user=user).first()
+    opponent = match.player_two if match.player_one_id == user.id else match.player_one
+    return {
+        "match_id": match.id,
+        "status": match.status,
+        "opponent": (
+            {"nickname": opponent.nickname, "rating": opponent.rating}
+            if opponent
+            else None
+        ),
+        "attempt": attempt_payload(attempt) if attempt else None,
+        "websocket_path": f"/ws/v1/contest/matches/{match.id}/",
+    }
+
+
+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 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(
+            id__in=[match.player_one_id, match.player_two_id]
+        )
+    }
+    player_one = users[match.player_one_id]
+    player_two = users[match.player_two_id]
+    deltas = (
+        _elo_delta(player_one.rating, player_two.rating, first_result),
+        _elo_delta(player_two.rating, player_one.rating, second_result),
+    )
+    for user, delta in zip((player_one, player_two), deltas):
+        before = user.rating
+        user.rating = max(0, before + delta)
+        user.save(update_fields=["rating"])
+        RatingHistory.objects.create(
+            user=user,
+            match=match,
+            rating_before=before,
+            rating_after=user.rating,
+            delta=delta,
+        )
+    match.status = RealtimeMatch.Status.COMPLETED
+    match.completed_at = timezone.now()
+    match.save(update_fields=["winner", "status", "completed_at"])
+    return match

backend/contest/test_services.py

@@ -0,0 +1,203 @@
+from datetime import timedelta
+
+import pytest
+from django.utils import timezone
+from rest_framework.exceptions import ValidationError
+
+from accounts.models import User
+from contest.models import (
+    Contest,
+    ContestAttempt,
+    ContestQuestion,
+    Question,
+    QuestionVersion,
+    RatingHistory,
+    RealtimeMatch,
+)
+from contest.services import (
+    finalize_match,
+    find_match,
+    normalize_answer,
+    start_attempt,
+    submit_attempt,
+)
+
+
+@pytest.fixture
+def user(db):
+    return User.objects.create_user(
+        username="contest_user",
+        password="StrongPass_2026",
+        nickname="比赛用户",
+    )
+
+
+@pytest.fixture
+def daily_contest(db):
+    question = Question.objects.create(
+        slug="sum-question",
+        track=Question.Track.STANDARD,
+    )
+    version = QuestionVersion.objects.create(
+        question=question,
+        version=1,
+        prompt="17 + 25",
+        answer="42",
+        explanation="相加得 42",
+    )
+    contest = Contest.objects.create(
+        slug="daily-test",
+        title="测试今日赛",
+        kind=Contest.Kind.DAILY,
+        track=Question.Track.STANDARD,
+        status=Contest.Status.PUBLISHED,
+        duration_seconds=60,
+    )
+    ContestQuestion.objects.create(
+        contest=contest,
+        question_version=version,
+        order=1,
+        points=100,
+    )
+    return contest
+
+
+@pytest.mark.parametrize(
+    "raw, expected",
+    [
+        pytest.param(" 1.0 ", "1", id="小数标准化"),
+        pytest.param("ABC ", "abc", id="文本去空格并转小写"),
+        pytest.param("-0", "-0", id="保留十进制负零表示"),
+    ],
+)
+def test_normalize_answer_标准化输入(raw, expected):
+    assert normalize_answer(raw) == expected
+
+
+@pytest.mark.django_db
+def test_start_attempt_每日赛重复进入复用同一记录(user, daily_contest):
+    first = start_attempt(user, daily_contest)
+    second = start_attempt(user, daily_contest)
+
+    assert first["attempt_id"] == second["attempt_id"]
+    assert ContestAttempt.objects.count() == 1
+
+
+@pytest.mark.django_db
+def test_submit_attempt_服务端判分且幂等重放(user, daily_contest):
+    started = start_attempt(user, daily_contest)
+
+    result = submit_attempt(
+        user,
+        started["attempt_id"],
+        [{"order": 1, "answer": "42.0"}],
+        "submission-1",
+    )
+    replay = submit_attempt(
+        user,
+        started["attempt_id"],
+        [{"order": 1, "answer": "0"}],
+        "submission-1",
+    )
+
+    assert result["status"] == ContestAttempt.Status.SUBMITTED
+    assert result["score"] == 100
+    assert result["correct_count"] == 1
+    assert result["questions"][0]["correct_answer"] == "42"
+    assert replay["score"] == 100
+
+
+@pytest.mark.django_db
+def test_submit_attempt_缺少幂等键时拒绝(user, daily_contest):
+    started = start_attempt(user, daily_contest)
+
+    with pytest.raises(ValidationError, match="幂等键"):
+        submit_attempt(
+            user,
+            started["attempt_id"],
+            [{"order": 1, "answer": "42"}],
+            None,
+        )
+
+
+@pytest.mark.django_db
+def test_submit_attempt_畸形题号返回校验错误且记录保持进行中(user, daily_contest):
+    started = start_attempt(user, daily_contest)
+
+    with pytest.raises(ValidationError):
+        submit_attempt(
+            user,
+            started["attempt_id"],
+            [{"order": "first", "answer": "42"}],
+            "malformed-order",
+        )
+
+    attempt = ContestAttempt.objects.get(id=started["attempt_id"])
+    assert attempt.status == ContestAttempt.Status.ACTIVE
+    assert attempt.answers.count() == 0
+
+
+@pytest.mark.django_db
+def test_submit_attempt_超过服务端时限不计分(user, daily_contest):
+    started = start_attempt(user, daily_contest)
+    ContestAttempt.objects.filter(id=started["attempt_id"]).update(
+        started_at=timezone.now() - timedelta(seconds=61)
+    )
+
+    result = submit_attempt(
+        user,
+        started["attempt_id"],
+        [{"order": 1, "answer": "42"}],
+        "late-submit",
+    )
+
+    assert result["status"] == ContestAttempt.Status.EXPIRED
+    assert result["score"] == 0
+    assert result["correct_count"] == 0
+
+
+@pytest.mark.django_db
+def test_find_match_同分玩家配对并由_finalize_match_唯一结算_rating():
+    first = User.objects.create_user(
+        username="player_one",
+        password="StrongPass_2026",
+        nickname="玩家一",
+    )
+    second = User.objects.create_user(
+        username="player_two",
+        password="StrongPass_2026",
+        nickname="玩家二",
+    )
+    contest = Contest.objects.create(
+        slug="realtime-test",
+        title="测试实时赛",
+        kind=Contest.Kind.REALTIME,
+        track=Question.Track.STANDARD,
+        status=Contest.Status.PUBLISHED,
+    )
+
+    waiting = find_match(first, contest)
+    active = find_match(second, contest)
+    active.refresh_from_db()
+
+    assert waiting.id == active.id
+    assert active.status == RealtimeMatch.Status.ACTIVE
+    assert active.attempts.count() == 2
+
+    active.attempts.filter(user=first).update(
+        status=ContestAttempt.Status.SUBMITTED,
+        score=200,
+    )
+    active.attempts.filter(user=second).update(
+        status=ContestAttempt.Status.SUBMITTED,
+        score=100,
+    )
+    finalized = finalize_match(active.id)
+    first.refresh_from_db()
+    second.refresh_from_db()
+
+    assert finalized.status == RealtimeMatch.Status.COMPLETED
+    assert finalized.winner == first
+    assert first.rating == 1016
+    assert second.rating == 984
+    assert RatingHistory.objects.filter(match=active).count() == 2

backend/contest/tests.py

@@ -0,0 +1,3 @@
+from django.test import TestCase
+
+# Create your tests here.

backend/contest/urls.py

@@ -0,0 +1,20 @@
+from django.urls import path
+
+from .views import (
+    AttemptStartView,
+    AttemptSubmitView,
+    ContestListView,
+    LeaderboardView,
+    MatchmakingView,
+    MatchStateView,
+)
+
+
+urlpatterns = [
+    path("", ContestListView.as_view(), name="contest-list"),
+    path("<slug:slug>/start/", AttemptStartView.as_view(), name="attempt-start"),
+    path("<slug:slug>/matchmaking/", MatchmakingView.as_view(), name="matchmaking"),
+    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"),
+]

backend/contest/views.py

@@ -0,0 +1,100 @@
+from django.shortcuts import get_object_or_404
+from rest_framework import permissions, status
+from rest_framework.response import Response
+from rest_framework.views import APIView
+
+from .models import Contest, ContestAttempt, RealtimeMatch
+from .services import (
+    find_match,
+    match_payload,
+    start_attempt,
+    submit_attempt,
+)
+
+
+class ContestListView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request):
+        contests = Contest.objects.filter(status=Contest.Status.PUBLISHED).order_by(
+            "kind", "title"
+        )
+        return Response(
+            [
+                {
+                    "slug": contest.slug,
+                    "title": contest.title,
+                    "kind": contest.kind,
+                    "track": contest.track,
+                    "duration_seconds": contest.duration_seconds,
+                    "starts_at": contest.starts_at,
+                    "ends_at": contest.ends_at,
+                }
+                for contest in contests
+            ]
+        )
+
+
+class AttemptStartView(APIView):
+    def post(self, request, slug):
+        contest = get_object_or_404(Contest, slug=slug)
+        return Response(start_attempt(request.user, contest), status=status.HTTP_201_CREATED)
+
+
+class AttemptSubmitView(APIView):
+    def post(self, request, attempt_id):
+        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"),
+        )
+        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)
+        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(
+            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):
+            return Response(status=status.HTTP_403_FORBIDDEN)
+        return Response(match_payload(match, request.user))
+
+
+class LeaderboardView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request, slug):
+        contest = get_object_or_404(Contest, slug=slug)
+        attempts = (
+            ContestAttempt.objects.filter(
+                contest=contest,
+                status=ContestAttempt.Status.SUBMITTED,
+                cheat_flags__isnull=True,
+            )
+            .select_related("user")
+            .order_by("-score", "duration_ms", "submitted_at")[:100]
+        )
+        return Response(
+            [
+                {
+                    "rank": index,
+                    "nickname": attempt.user.nickname,
+                    "track": attempt.user.track,
+                    "score": attempt.score,
+                    "correct_count": attempt.correct_count,
+                    "duration_ms": attempt.duration_ms,
+                }
+                for index, attempt in enumerate(attempts, start=1)
+            ]
+        )

backend/engagement/admin.py

@@ -0,0 +1,3 @@
+from django.contrib import admin
+
+# Register your models here.

backend/engagement/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class EngagementConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'engagement'

backend/engagement/migrations/0001_initial.py

@@ -0,0 +1,44 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:15
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+
+
+class Migration(migrations.Migration):
+
+    initial = True
+
+    dependencies = [
+        migrations.swappable_dependency(settings.AUTH_USER_MODEL),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='Notification',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('category', models.CharField(max_length=40)),
+                ('title', models.CharField(max_length=120)),
+                ('body', models.TextField()),
+                ('is_read', models.BooleanField(default=False)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='notifications', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='DailyCheckIn',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('date', models.DateField()),
+                ('streak', models.PositiveIntegerField(default=1)),
+                ('reward', models.JSONField(default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='checkins', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.AddConstraint(
+            model_name='dailycheckin',
+            constraint=models.UniqueConstraint(fields=('user', 'date'), name='unique_user_daily_checkin'),
+        ),
+    ]

backend/engagement/models.py

@@ -0,0 +1,24 @@
+from django.conf import settings
+from django.db import models
+
+
+class DailyCheckIn(models.Model):
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="checkins")
+    date = models.DateField()
+    streak = models.PositiveIntegerField(default=1)
+    reward = models.JSONField(default=dict)
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(fields=("user", "date"), name="unique_user_daily_checkin")
+        ]
+
+
+class Notification(models.Model):
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="notifications")
+    category = models.CharField(max_length=40)
+    title = models.CharField(max_length=120)
+    body = models.TextField()
+    is_read = models.BooleanField(default=False)
+    created_at = models.DateTimeField(auto_now_add=True)

backend/engagement/tests.py

@@ -0,0 +1,3 @@
+from django.test import TestCase
+
+# Create your tests here.

backend/engagement/views.py

@@ -0,0 +1,3 @@
+from django.shortcuts import render
+
+# Create your views here.

backend/latex_lab/admin.py

@@ -0,0 +1,29 @@
+from django.contrib import admin
+
+from .models import (
+    FormulaDocument,
+    FormulaRevision,
+    HandwritingRecognitionJob,
+    LatexAttempt,
+    LatexCourse,
+    LatexExercise,
+    LatexLesson,
+)
+
+
+class LatexLessonInline(admin.StackedInline):
+    model = LatexLesson
+    extra = 1
+
+
+@admin.register(LatexCourse)
+class LatexCourseAdmin(admin.ModelAdmin):
+    list_display = ("title", "order", "is_published")
+    inlines = [LatexLessonInline]
+
+
+admin.site.register(FormulaDocument)
+admin.site.register(FormulaRevision)
+admin.site.register(LatexExercise)
+admin.site.register(LatexAttempt)
+admin.site.register(HandwritingRecognitionJob)

backend/latex_lab/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class LatexLabConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'latex_lab'

backend/latex_lab/migrations/0001_initial.py

@@ -0,0 +1,103 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:15
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+import uuid
+
+
+class Migration(migrations.Migration):
+
+    initial = True
+
+    dependencies = [
+        migrations.swappable_dependency(settings.AUTH_USER_MODEL),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='FormulaDocument',
+            fields=[
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('title', models.CharField(max_length=120)),
+                ('source', models.TextField(blank=True)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('updated_at', models.DateTimeField(auto_now=True)),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='formulas', to=settings.AUTH_USER_MODEL)),
+            ],
+            options={
+                'ordering': ['-updated_at'],
+            },
+        ),
+        migrations.CreateModel(
+            name='LatexCourse',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField(unique=True)),
+                ('title', models.CharField(max_length=120)),
+                ('description', models.TextField(blank=True)),
+                ('order', models.PositiveIntegerField(default=0)),
+                ('is_published', models.BooleanField(default=False)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='LatexLesson',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField()),
+                ('title', models.CharField(max_length=120)),
+                ('content', models.TextField()),
+                ('example_source', models.TextField(blank=True)),
+                ('order', models.PositiveIntegerField(default=0)),
+                ('course', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='lessons', to='latex_lab.latexcourse')),
+            ],
+            options={
+                'ordering': ['order'],
+            },
+        ),
+        migrations.CreateModel(
+            name='LatexExercise',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('prompt', models.TextField()),
+                ('expected_source', models.TextField()),
+                ('explanation', models.TextField(blank=True)),
+                ('order', models.PositiveIntegerField(default=0)),
+                ('lesson', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='exercises', to='latex_lab.latexlesson')),
+            ],
+        ),
+        migrations.CreateModel(
+            name='LatexAttempt',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('submitted_source', models.TextField()),
+                ('is_correct', models.BooleanField()),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('exercise', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, to='latex_lab.latexexercise')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='latex_attempts', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='HandwritingRecognitionJob',
+            fields=[
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('status', models.CharField(choices=[('pending', '等待'), ('complete', '完成'), ('failed', '失败')], default='pending', max_length=16)),
+                ('result', models.JSONField(blank=True, default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='FormulaRevision',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('source', models.TextField()),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('document', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='revisions', to='latex_lab.formuladocument')),
+            ],
+        ),
+        migrations.AddConstraint(
+            model_name='latexlesson',
+            constraint=models.UniqueConstraint(fields=('course', 'slug'), name='unique_course_lesson'),
+        ),
+    ]

backend/latex_lab/models.py

@@ -0,0 +1,77 @@
+import uuid
+
+from django.conf import settings
+from django.db import models
+
+
+class FormulaDocument(models.Model):
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="formulas")
+    title = models.CharField(max_length=120)
+    source = models.TextField(blank=True)
+    created_at = models.DateTimeField(auto_now_add=True)
+    updated_at = models.DateTimeField(auto_now=True)
+
+    class Meta:
+        ordering = ["-updated_at"]
+
+
+class FormulaRevision(models.Model):
+    document = models.ForeignKey(FormulaDocument, on_delete=models.CASCADE, related_name="revisions")
+    source = models.TextField()
+    created_at = models.DateTimeField(auto_now_add=True)
+
+
+class LatexCourse(models.Model):
+    slug = models.SlugField(unique=True)
+    title = models.CharField(max_length=120)
+    description = models.TextField(blank=True)
+    order = models.PositiveIntegerField(default=0)
+    is_published = models.BooleanField(default=False)
+
+    def __str__(self):
+        return self.title
+
+
+class LatexLesson(models.Model):
+    course = models.ForeignKey(LatexCourse, on_delete=models.CASCADE, related_name="lessons")
+    slug = models.SlugField()
+    title = models.CharField(max_length=120)
+    content = models.TextField()
+    example_source = models.TextField(blank=True)
+    order = models.PositiveIntegerField(default=0)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(fields=("course", "slug"), name="unique_course_lesson")
+        ]
+        ordering = ["order"]
+
+
+class LatexExercise(models.Model):
+    lesson = models.ForeignKey(LatexLesson, on_delete=models.CASCADE, related_name="exercises")
+    prompt = models.TextField()
+    expected_source = models.TextField()
+    explanation = models.TextField(blank=True)
+    order = models.PositiveIntegerField(default=0)
+
+
+class LatexAttempt(models.Model):
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="latex_attempts")
+    exercise = models.ForeignKey(LatexExercise, on_delete=models.PROTECT)
+    submitted_source = models.TextField()
+    is_correct = models.BooleanField()
+    created_at = models.DateTimeField(auto_now_add=True)
+
+
+class HandwritingRecognitionJob(models.Model):
+    class Status(models.TextChoices):
+        PENDING = "pending", "等待"
+        COMPLETE = "complete", "完成"
+        FAILED = "failed", "失败"
+
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE)
+    status = models.CharField(max_length=16, choices=Status.choices, default=Status.PENDING)
+    result = models.JSONField(default=dict, blank=True)
+    created_at = models.DateTimeField(auto_now_add=True)

backend/latex_lab/serializers.py

@@ -0,0 +1,28 @@
+from rest_framework import serializers
+
+from .models import FormulaDocument, FormulaRevision
+
+
+class FormulaDocumentSerializer(serializers.ModelSerializer):
+    class Meta:
+        model = FormulaDocument
+        fields = ("id", "title", "source", "created_at", "updated_at")
+        read_only_fields = ("id", "created_at", "updated_at")
+
+    def validate_source(self, value):
+        if len(value) > 50_000:
+            raise serializers.ValidationError("公式源码不能超过 50000 个字符")
+        return value
+
+    def create(self, validated_data):
+        document = FormulaDocument.objects.create(
+            user=self.context["request"].user,
+            **validated_data,
+        )
+        FormulaRevision.objects.create(document=document, source=document.source)
+        return document
+
+    def update(self, instance, validated_data):
+        instance = super().update(instance, validated_data)
+        FormulaRevision.objects.create(document=instance, source=instance.source)
+        return instance

backend/latex_lab/test_views.py

@@ -0,0 +1,15 @@
+from latex_lab.views import ExerciseSubmitView
+
+
+def test_normalize_忽略公式结构外的空白():
+    left = ExerciseSubmitView.normalize(r"\frac { a } { b }")
+    right = ExerciseSubmitView.normalize(r"\frac{a}{b}")
+
+    assert left == right
+
+
+def test_normalize_保留_text_命令内部的语义空格():
+    with_space = ExerciseSubmitView.normalize(r"\text{a b}")
+    without_space = ExerciseSubmitView.normalize(r"\text{ab}")
+
+    assert with_space != without_space

backend/latex_lab/tests.py

@@ -0,0 +1,3 @@
+from django.test import TestCase
+
+# Create your tests here.

backend/latex_lab/urls.py

@@ -0,0 +1,18 @@
+from django.urls import include, path
+from rest_framework.routers import DefaultRouter
+
+from .views import CourseListView, ExerciseSubmitView, FormulaDocumentViewSet
+
+
+router = DefaultRouter()
+router.register("documents", FormulaDocumentViewSet, basename="formula-document")
+
+urlpatterns = [
+    path("", include(router.urls)),
+    path("courses/", CourseListView.as_view(), name="latex-course-list"),
+    path(
+        "exercises/<int:exercise_id>/submit/",
+        ExerciseSubmitView.as_view(),
+        name="latex-exercise-submit",
+    ),
+]

backend/latex_lab/views.py

@@ -0,0 +1,106 @@
+from django.shortcuts import get_object_or_404
+from rest_framework import permissions, status, viewsets
+from rest_framework.response import Response
+from rest_framework.views import APIView
+
+from .models import LatexAttempt, LatexCourse, LatexExercise
+from .serializers import FormulaDocumentSerializer
+
+
+class FormulaDocumentViewSet(viewsets.ModelViewSet):
+    serializer_class = FormulaDocumentSerializer
+
+    def get_queryset(self):
+        return self.request.user.formulas.all()
+
+
+class CourseListView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request):
+        courses = LatexCourse.objects.filter(is_published=True).prefetch_related(
+            "lessons__exercises"
+        )
+        return Response(
+            [
+                {
+                    "slug": course.slug,
+                    "title": course.title,
+                    "description": course.description,
+                    "lessons": [
+                        {
+                            "slug": lesson.slug,
+                            "title": lesson.title,
+                            "content": lesson.content,
+                            "example_source": lesson.example_source,
+                            "exercise_count": lesson.exercises.count(),
+                        }
+                        for lesson in course.lessons.all()
+                    ],
+                }
+                for course in courses
+            ]
+        )
+
+
+class ExerciseSubmitView(APIView):
+    @staticmethod
+    def normalize(source):
+        source = source or ""
+        text_commands = (r"\text", r"\mbox", r"\textrm", r"\textsf", r"\texttt")
+        normalized = []
+        index = 0
+        while index < len(source):
+            command = next(
+                (item for item in text_commands if source.startswith(item, index)),
+                None,
+            )
+            if command is None:
+                if not source[index].isspace():
+                    normalized.append(source[index])
+                index += 1
+                continue
+
+            command_end = index + len(command)
+            group_start = command_end
+            while group_start < len(source) and source[group_start].isspace():
+                group_start += 1
+            if group_start >= len(source) or source[group_start] != "{":
+                normalized.append(command)
+                index = command_end
+                continue
+
+            depth = 0
+            group_end = group_start
+            while group_end < len(source):
+                if source[group_end] == "{":
+                    depth += 1
+                elif source[group_end] == "}":
+                    depth -= 1
+                    if depth == 0:
+                        group_end += 1
+                        break
+                group_end += 1
+            normalized.append(command)
+            normalized.append(source[group_start:group_end])
+            index = group_end
+        return "".join(normalized)
+
+    def post(self, request, exercise_id):
+        exercise = get_object_or_404(LatexExercise, id=exercise_id)
+        submitted = str(request.data.get("source", ""))[:50_000]
+        is_correct = self.normalize(submitted) == self.normalize(exercise.expected_source)
+        LatexAttempt.objects.create(
+            user=request.user,
+            exercise=exercise,
+            submitted_source=submitted,
+            is_correct=is_correct,
+        )
+        return Response(
+            {
+                "is_correct": is_correct,
+                "expected_source": exercise.expected_source if not is_correct else None,
+                "explanation": exercise.explanation,
+            },
+            status=status.HTTP_201_CREATED,
+        )

backend/manage.py

@@ -0,0 +1,22 @@
+#!/usr/bin/env python
+"""Django's command-line utility for administrative tasks."""
+import os
+import sys
+
+
+def main():
+    """Run administrative tasks."""
+    os.environ.setdefault('DJANGO_SETTINGS_MODULE', 'config.settings')
+    try:
+        from django.core.management import execute_from_command_line
+    except ImportError as exc:
+        raise ImportError(
+            "Couldn't import Django. Are you sure it's installed and "
+            "available on your PYTHONPATH environment variable? Did you "
+            "forget to activate a virtual environment?"
+        ) from exc
+    execute_from_command_line(sys.argv)
+
+
+if __name__ == '__main__':
+    main()

backend/math_life/admin.py

@@ -0,0 +1,45 @@
+from django.contrib import admin
+from django.core.exceptions import ValidationError
+
+from .models import (
+    Character,
+    MathBTIAssessment,
+    MathBTIResult,
+    MathIdentity,
+    SkillPackage,
+    Story,
+    StoryChoice,
+    StoryRun,
+    StoryVersion,
+    UserRelationship,
+)
+from .services import validate_story_content
+
+
+@admin.register(StoryVersion)
+class StoryVersionAdmin(admin.ModelAdmin):
+    list_display = ("story", "version", "is_published", "published_at", "created_at")
+    list_filter = ("is_published", "story__kind")
+
+    def save_model(self, request, obj, form, change):
+        errors = validate_story_content(obj.content)
+        if errors:
+            raise ValidationError(errors)
+        super().save_model(request, obj, form, change)
+
+
+@admin.register(StoryRun)
+class StoryRunAdmin(admin.ModelAdmin):
+    list_display = ("id", "user", "story_version", "status", "current_node", "updated_at")
+    list_filter = ("status", "story_version__story")
+    readonly_fields = ("started_at", "updated_at", "completed_at")
+
+
+admin.site.register(MathIdentity)
+admin.site.register(MathBTIAssessment)
+admin.site.register(MathBTIResult)
+admin.site.register(Character)
+admin.site.register(Story)
+admin.site.register(StoryChoice)
+admin.site.register(UserRelationship)
+admin.site.register(SkillPackage)

backend/math_life/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class MathLifeConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'math_life'

backend/math_life/management/__init__.py

@@ -0,0 +1 @@
+

backend/math_life/management/commands/__init__.py

@@ -0,0 +1 @@
+

backend/math_life/management/commands/seed_initial_content.py

@@ -0,0 +1,357 @@
+import json
+from pathlib import Path
+
+from django.conf import settings
+from django.core.management.base import BaseCommand, CommandError
+from django.utils import timezone
+
+from accounts.models import InviteCode
+from content.models import ContentItem
+from latex_lab.models import LatexCourse, LatexExercise, LatexLesson
+from math_life.models import (
+    MathBTIAssessment,
+    MathIdentity,
+    SkillPackage,
+    Story,
+    StoryVersion,
+)
+from math_life.services import validate_story_content
+
+
+DISCIPLINE_ICONS = {
+    "人工智能": "🤖",
+    "计算机": "💻",
+    "电子信息": "📡",
+    "微电子": "🔌",
+    "机械工程": "⚙",
+    "自动化": "◉",
+    "能源动力": "🔥",
+    "化工材料": "⚗",
+    "生物医学": "✦",
+    "经济管理": "▥",
+    "环境工程": "♧",
+    "数学建模": "📐",
+}
+
+
+def load_json(path):
+    with path.open(encoding="utf-8") as source:
+        return json.load(source)
+
+
+def video_ability(video):
+    title = video["title"]
+    module = video["module"]
+    discipline = video["discipline"]
+    if module == "数思" or title == "你被平均数骗过吗？":
+        return ContentItem.Ability.VISION
+    if module == "数说" or title == "消费者行为预测的回归分析":
+        return ContentItem.Ability.HUMANITIES
+    if discipline in {"生物医学", "自动化"}:
+        return ContentItem.Ability.DETECTION
+    if discipline in {"机械工程", "化工材料", "环境工程", "能源动力", "数学建模"}:
+        return ContentItem.Ability.MODELING
+    if title in {"金融里的数学：为什么风险可以算出来", "博弈论与市场竞争"}:
+        return ContentItem.Ability.MODELING
+    return ContentItem.Ability.CONNECTION
+
+
+def skill_content(title, person, dilemma):
+    return {
+        "title": title,
+        "start_node": "opening",
+        "nodes": {
+            "opening": {
+                "character": "旁白",
+                "scene": f"你成为青年时期的{person}。{dilemma}",
+                "choices": [
+                    {
+                        "text": "接受风险，争取更大的可能",
+                        "next": "risk",
+                        "effects": {"time": -2, "reputation": 1},
+                    },
+                    {
+                        "text": "先保住当下，再等待机会",
+                        "next": "steady",
+                        "effects": {"money": 2, "reputation": -1},
+                    },
+                ],
+            },
+            "risk": {
+                "character": person,
+                "scene": "选择带来了压力，也让你接触到原本看不见的问题。",
+                "choices": [
+                    {
+                        "text": "把有限时间投入研究",
+                        "next": "crossroads",
+                        "effects": {"energy": -2, "research": 3},
+                    }
+                ],
+            },
+            "steady": {
+                "character": person,
+                "scene": "稳定让你积累了资源，但窗口正在逐渐关闭。",
+                "choices": [
+                    {
+                        "text": "用积累换一次尝试",
+                        "next": "crossroads",
+                        "effects": {"money": -1, "research": 2},
+                    }
+                ],
+            },
+            "crossroads": {
+                "character": "同伴",
+                "scene": "同伴提供了不完整的消息。你必须决定是独自推进，还是公开方法。",
+                "choices": [
+                    {
+                        "text": "先完成证明，再公开",
+                        "next": "ending_scholar",
+                        "effects": {"research": 2, "cooperation": -1},
+                    },
+                    {
+                        "text": "邀请同伴共同验证",
+                        "next": "ending_bridge",
+                        "effects": {"cooperation": 3, "reputation": 1},
+                    },
+                ],
+            },
+            "ending_scholar": {
+                "character": "旁白",
+                "scene": "你守住了方法的完整性，也承担了独行的代价。",
+                "choices": [],
+            },
+            "ending_bridge": {
+                "character": "旁白",
+                "scene": "成果不再只属于一个人，你让更多人能够继续向前。",
+                "choices": [],
+            },
+        },
+    }
+
+
+class Command(BaseCommand):
+    help = "导入 MathBTI、信仰者主线和两个人物 Skill 样板"
+
+    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"
+        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")
+
+        definition = load_json(mathbti_path)
+        assessment, _ = MathBTIAssessment.objects.update_or_create(
+            version=definition["version"],
+            defaults={
+                "title": definition["title"],
+                "definition": definition,
+                "is_published": True,
+                "published_at": timezone.now(),
+            },
+        )
+        for code, result in definition["results"].items():
+            MathIdentity.objects.update_or_create(
+                code=code,
+                defaults={
+                    "name": result["name"],
+                    "clan": result["clan_name"],
+                    "mathematician": result["mathematician"],
+                    "description": result["description"],
+                    "initial_abilities": result.get("stats5", {}),
+                    "portrait": result.get("portrait", ""),
+                },
+            )
+
+        story_document = 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",
+            defaults={
+                "title": story_document["title"],
+                "summary": story_document.get("description", ""),
+                "kind": Story.Kind.FLAGSHIP,
+                "estimated_minutes": 120,
+                "is_visible": True,
+            },
+        )
+        StoryVersion.objects.update_or_create(
+            story=flagship,
+            version=1,
+            defaults={
+                "content": story_document,
+                "is_published": True,
+                "published_at": timezone.now(),
+            },
+        )
+
+        samples = [
+            (
+                "hua-luogeng-skill",
+                "华罗庚：从自学到远行",
+                "华罗庚",
+                "你没有完整的学院路径，却收到一次改变研究方向的机会。",
+                ["《华罗庚传》", "中国科学院公开人物资料"],
+            ),
+            (
+                "su-buqing-skill",
+                "苏步青：选择回国",
+                "苏步青",
+                "海外研究条件优越，故乡却需要从零建设数学教育。",
+                ["复旦大学校史资料", "中国科学院公开人物资料"],
+            ),
+        ]
+        for slug, title, person, dilemma, sources in samples:
+            story, _ = Story.objects.update_or_create(
+                slug=slug,
+                defaults={
+                    "title": title,
+                    "summary": dilemma,
+                    "kind": Story.Kind.SKILL,
+                    "estimated_minutes": 20,
+                    "is_visible": True,
+                },
+            )
+            document = skill_content(title, person, dilemma)
+            StoryVersion.objects.update_or_create(
+                story=story,
+                version=1,
+                defaults={
+                    "content": document,
+                    "is_published": True,
+                    "published_at": timezone.now(),
+                },
+            )
+            SkillPackage.objects.update_or_create(
+                story=story,
+                defaults={
+                    "real_person": person,
+                    "historical_context": dilemma,
+                    "fact_sources": sources,
+                    "fictional_scope": "人生节点基于公开资料，具体对话与选择为艺术加工。",
+                    "creator": "葫芦数学内容组",
+                },
+            )
+
+        InviteCode.objects.get_or_create(
+            code="HULU2026",
+            defaults={"group": "本地首发体验", "max_uses": 100, "is_active": True},
+        )
+
+        course, _ = LatexCourse.objects.update_or_create(
+            slug="latex-from-zero",
+            defaults={
+                "title": "LaTeX 零基础表达",
+                "description": "从上下标到完整数学证明的六步课程。",
+                "order": 1,
+                "is_published": True,
+            },
+        )
+        lesson_specs = [
+            ("basics", "上标、下标和基础运算", r"x^2 + y_1", r"x^2+y_1"),
+            ("fractions", "分式、根式和括号", r"\frac{a}{b}+\sqrt{x}", r"\frac{a}{b}+\sqrt{x}"),
+            ("calculus", "求和、积分和极限", r"\sum_{i=1}^{n}i", r"\sum_{i=1}^{n}i"),
+            ("matrix", "矩阵和方程组", r"\begin{matrix}a&b\\c&d\end{matrix}", r"\begin{matrix}a&b\\c&d\end{matrix}"),
+            ("alignment", "多行公式与对齐", r"\begin{aligned}a&=b\\&=c\end{aligned}", r"\begin{aligned}a&=b\\&=c\end{aligned}"),
+            ("proof", "完整解答与证明排版", r"\because a=b,\ \therefore a+c=b+c", r"\because a=b,\therefore a+c=b+c"),
+        ]
+        for order, (slug, title, example, expected) in enumerate(lesson_specs, start=1):
+            lesson, _ = LatexLesson.objects.update_or_create(
+                course=course,
+                slug=slug,
+                defaults={
+                    "title": title,
+                    "content": f"本节通过可运行示例学习{title}。",
+                    "example_source": example,
+                    "order": order,
+                },
+            )
+            LatexExercise.objects.update_or_create(
+                lesson=lesson,
+                order=1,
+                defaults={
+                    "prompt": f"输入与示例等价的 {title} 公式。",
+                    "expected_source": expected,
+                    "explanation": "注意命令、花括号和环境闭合。",
+                },
+            )
+
+        content_specs = [
+            (
+                "why-proof-matters",
+                "为什么数学家坚持证明",
+                ContentItem.Kind.KNOWLEDGE,
+                "答案正确并不等于我们知道它为什么正确。",
+                ["证明", "数学精神"],
+            ),
+            (
+                "gauss-17-gon",
+                "高斯与正十七边形",
+                ContentItem.Kind.PERSON,
+                "一个十九岁少年的发现，如何连接古典几何与代数。",
+                ["高斯", "几何"],
+            ),
+            (
+                "model-is-not-world",
+                "模型不是现实本身",
+                ContentItem.Kind.KNOWLEDGE,
+                "建模从选择变量开始，也从那一刻开始承担遗漏的代价。",
+                ["建模", "应用"],
+            ),
+        ]
+        for slug, title, kind, summary, topics in content_specs:
+            ContentItem.objects.update_or_create(
+                slug=slug,
+                defaults={
+                    "title": title,
+                    "kind": kind,
+                    "summary": summary,
+                    "body": summary,
+                    "topics": topics,
+                    "source": "葫芦数学首发内容",
+                    "is_published": True,
+                    "published_at": timezone.now(),
+                },
+            )
+
+        videos = load_json(videos_path)
+        for index, video in enumerate(videos, start=1):
+            ContentItem.objects.update_or_create(
+                slug=f"legacy-video-{index:03d}",
+                defaults={
+                    "title": video["title"],
+                    "kind": ContentItem.Kind.VIDEO,
+                    "summary": video.get("description", ""),
+                    "body": video.get("description", ""),
+                    "cover_url": video.get("cover_url", ""),
+                    "media_url": video.get("video_url", ""),
+                    "topics": [
+                        video.get("module", ""),
+                        video.get("sub_category", ""),
+                        video.get("discipline", ""),
+                    ],
+                    "source": "老版志愿者视频流",
+                    "ability_dimension": video_ability(video),
+                    "module": video.get("module", ""),
+                    "sub_category": video.get("sub_category", ""),
+                    "discipline": video.get("discipline", ""),
+                    "discipline_icon": DISCIPLINE_ICONS.get(
+                        video.get("discipline"),
+                        video.get("discipline_icon") or "∑",
+                    ),
+                    "author": video.get("author", ""),
+                    "duration_seconds": int(video.get("duration_min", 0)) * 60,
+                    "view_count": 800 + index * 137,
+                    "comment_count": 20 + (index * 29) % 760,
+                    "is_published": True,
+                    "published_at": timezone.now(),
+                },
+            )
+
+        self.stdout.write(
+            self.style.SUCCESS(
+                f"已导入 MathBTI {assessment.version}、人生内容、LaTeX 课程和 {len(videos)} 条视频"
+            )
+        )

backend/math_life/migrations/0001_initial.py

@@ -0,0 +1,170 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:15
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+import uuid
+
+
+class Migration(migrations.Migration):
+
+    initial = True
+
+    dependencies = [
+        migrations.swappable_dependency(settings.AUTH_USER_MODEL),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='Character',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField(unique=True)),
+                ('name', models.CharField(max_length=80)),
+                ('profile', models.TextField(blank=True)),
+                ('metadata', models.JSONField(blank=True, default=dict)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='MathBTIAssessment',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('version', models.CharField(max_length=30, unique=True)),
+                ('title', models.CharField(max_length=120)),
+                ('definition', models.JSONField()),
+                ('is_published', models.BooleanField(default=False)),
+                ('published_at', models.DateTimeField(blank=True, null=True)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='MathIdentity',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('code', models.CharField(max_length=8, unique=True)),
+                ('name', models.CharField(max_length=80)),
+                ('clan', models.CharField(max_length=40)),
+                ('mathematician', models.CharField(max_length=80)),
+                ('description', models.TextField(blank=True)),
+                ('initial_abilities', models.JSONField(blank=True, default=dict)),
+                ('portrait', models.CharField(blank=True, max_length=200)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='Story',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField(unique=True)),
+                ('title', models.CharField(max_length=120)),
+                ('summary', models.TextField(blank=True)),
+                ('kind', models.CharField(choices=[('flagship', '旗舰人生'), ('skill', '人物 Skill'), ('special', '特别篇')], default='flagship', max_length=16)),
+                ('estimated_minutes', models.PositiveIntegerField(default=20)),
+                ('is_visible', models.BooleanField(default=True)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='UserRelationship',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('trust', models.SmallIntegerField(default=0)),
+                ('rivalry', models.SmallIntegerField(default=0)),
+                ('debt', models.SmallIntegerField(default=0)),
+                ('cooperation', models.SmallIntegerField(default=0)),
+                ('metadata', models.JSONField(blank=True, default=dict)),
+                ('character', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, to='math_life.character')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='StoryVersion',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('version', models.PositiveIntegerField()),
+                ('content', models.JSONField()),
+                ('is_published', models.BooleanField(default=False)),
+                ('published_at', models.DateTimeField(blank=True, null=True)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('story', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='versions', to='math_life.story')),
+            ],
+            options={
+                'ordering': ['story', '-version'],
+            },
+        ),
+        migrations.CreateModel(
+            name='StoryRun',
+            fields=[
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('current_node', models.CharField(max_length=100)),
+                ('state', models.JSONField(default=dict)),
+                ('status', models.CharField(choices=[('active', '进行中'), ('completed', '已完成'), ('abandoned', '已放弃')], default='active', max_length=16)),
+                ('ending_code', models.CharField(blank=True, max_length=80)),
+                ('started_at', models.DateTimeField(auto_now_add=True)),
+                ('updated_at', models.DateTimeField(auto_now=True)),
+                ('completed_at', models.DateTimeField(blank=True, null=True)),
+                ('story_version', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, related_name='runs', to='math_life.storyversion')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='story_runs', to=settings.AUTH_USER_MODEL)),
+            ],
+            options={
+                'ordering': ['-updated_at'],
+            },
+        ),
+        migrations.CreateModel(
+            name='StoryChoice',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('sequence', models.PositiveIntegerField()),
+                ('idempotency_key', models.CharField(blank=True, max_length=80, null=True)),
+                ('node_id', models.CharField(max_length=100)),
+                ('choice_index', models.PositiveIntegerField()),
+                ('choice_text', models.CharField(max_length=300)),
+                ('effects', models.JSONField(blank=True, default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('run', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='choices', to='math_life.storyrun')),
+            ],
+            options={
+                'ordering': ['sequence'],
+            },
+        ),
+        migrations.CreateModel(
+            name='SkillPackage',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('real_person', models.CharField(max_length=120)),
+                ('historical_context', models.TextField()),
+                ('fact_sources', models.JSONField(default=list)),
+                ('fictional_scope', models.TextField()),
+                ('creator', models.CharField(max_length=120)),
+                ('story', models.OneToOneField(on_delete=django.db.models.deletion.CASCADE, related_name='skill_package', to='math_life.story')),
+            ],
+        ),
+        migrations.CreateModel(
+            name='MathBTIResult',
+            fields=[
+                ('id', models.UUIDField(default=uuid.uuid4, editable=False, primary_key=True, serialize=False)),
+                ('answers', models.JSONField(default=list)),
+                ('axis_scores', models.JSONField(default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('assessment', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, to='math_life.mathbtiassessment')),
+                ('identity', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, to='math_life.mathidentity')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='mathbti_results', to=settings.AUTH_USER_MODEL)),
+            ],
+            options={
+                'ordering': ['-created_at'],
+            },
+        ),
+        migrations.AddConstraint(
+            model_name='userrelationship',
+            constraint=models.UniqueConstraint(fields=('user', 'character'), name='unique_user_character'),
+        ),
+        migrations.AddConstraint(
+            model_name='storyversion',
+            constraint=models.UniqueConstraint(fields=('story', 'version'), name='unique_story_version'),
+        ),
+        migrations.AddConstraint(
+            model_name='storychoice',
+            constraint=models.UniqueConstraint(fields=('run', 'sequence'), name='unique_run_choice_sequence'),
+        ),
+        migrations.AddConstraint(
+            model_name='storychoice',
+            constraint=models.UniqueConstraint(fields=('run', 'idempotency_key'), name='unique_run_choice_idempotency'),
+        ),
+    ]

backend/math_life/models.py

@@ -0,0 +1,151 @@
+import uuid
+
+from django.conf import settings
+from django.db import models
+
+
+class MathIdentity(models.Model):
+    code = models.CharField(max_length=8, unique=True)
+    name = models.CharField(max_length=80)
+    clan = models.CharField(max_length=40)
+    mathematician = models.CharField(max_length=80)
+    description = models.TextField(blank=True)
+    initial_abilities = models.JSONField(default=dict, blank=True)
+    portrait = models.CharField(max_length=200, blank=True)
+
+    def __str__(self):
+        return f"{self.code} {self.name}"
+
+
+class MathBTIAssessment(models.Model):
+    version = models.CharField(max_length=30, unique=True)
+    title = models.CharField(max_length=120)
+    definition = models.JSONField()
+    is_published = models.BooleanField(default=False)
+    published_at = models.DateTimeField(null=True, blank=True)
+
+    def __str__(self):
+        return self.title
+
+
+class MathBTIResult(models.Model):
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="mathbti_results")
+    assessment = models.ForeignKey(MathBTIAssessment, on_delete=models.PROTECT)
+    identity = models.ForeignKey(MathIdentity, on_delete=models.PROTECT)
+    answers = models.JSONField(default=list)
+    axis_scores = models.JSONField(default=dict)
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        ordering = ["-created_at"]
+
+
+class Character(models.Model):
+    slug = models.SlugField(unique=True)
+    name = models.CharField(max_length=80)
+    profile = models.TextField(blank=True)
+    metadata = models.JSONField(default=dict, blank=True)
+
+    def __str__(self):
+        return self.name
+
+
+class Story(models.Model):
+    class Kind(models.TextChoices):
+        FLAGSHIP = "flagship", "旗舰人生"
+        SKILL = "skill", "人物 Skill"
+        SPECIAL = "special", "特别篇"
+
+    slug = models.SlugField(unique=True)
+    title = models.CharField(max_length=120)
+    summary = models.TextField(blank=True)
+    kind = models.CharField(max_length=16, choices=Kind.choices, default=Kind.FLAGSHIP)
+    estimated_minutes = models.PositiveIntegerField(default=20)
+    is_visible = models.BooleanField(default=True)
+
+    def __str__(self):
+        return self.title
+
+
+class StoryVersion(models.Model):
+    story = models.ForeignKey(Story, on_delete=models.CASCADE, related_name="versions")
+    version = models.PositiveIntegerField()
+    content = models.JSONField()
+    is_published = models.BooleanField(default=False)
+    published_at = models.DateTimeField(null=True, blank=True)
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(fields=("story", "version"), name="unique_story_version")
+        ]
+        ordering = ["story", "-version"]
+
+    def __str__(self):
+        return f"{self.story} v{self.version}"
+
+
+class StoryRun(models.Model):
+    class Status(models.TextChoices):
+        ACTIVE = "active", "进行中"
+        COMPLETED = "completed", "已完成"
+        ABANDONED = "abandoned", "已放弃"
+
+    id = models.UUIDField(primary_key=True, default=uuid.uuid4, editable=False)
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE, related_name="story_runs")
+    story_version = models.ForeignKey(StoryVersion, on_delete=models.PROTECT, related_name="runs")
+    current_node = models.CharField(max_length=100)
+    state = models.JSONField(default=dict)
+    status = models.CharField(max_length=16, choices=Status.choices, default=Status.ACTIVE)
+    ending_code = models.CharField(max_length=80, blank=True)
+    started_at = models.DateTimeField(auto_now_add=True)
+    updated_at = models.DateTimeField(auto_now=True)
+    completed_at = models.DateTimeField(null=True, blank=True)
+
+    class Meta:
+        ordering = ["-updated_at"]
+
+
+class StoryChoice(models.Model):
+    run = models.ForeignKey(StoryRun, on_delete=models.CASCADE, related_name="choices")
+    sequence = models.PositiveIntegerField()
+    idempotency_key = models.CharField(max_length=80, null=True, blank=True)
+    node_id = models.CharField(max_length=100)
+    choice_index = models.PositiveIntegerField()
+    choice_text = models.CharField(max_length=300)
+    effects = models.JSONField(default=dict, blank=True)
+    created_at = models.DateTimeField(auto_now_add=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(fields=("run", "sequence"), name="unique_run_choice_sequence"),
+            models.UniqueConstraint(
+                fields=("run", "idempotency_key"), name="unique_run_choice_idempotency"
+            ),
+        ]
+        ordering = ["sequence"]
+
+
+class UserRelationship(models.Model):
+    user = models.ForeignKey(settings.AUTH_USER_MODEL, on_delete=models.CASCADE)
+    character = models.ForeignKey(Character, on_delete=models.CASCADE)
+    trust = models.SmallIntegerField(default=0)
+    rivalry = models.SmallIntegerField(default=0)
+    debt = models.SmallIntegerField(default=0)
+    cooperation = models.SmallIntegerField(default=0)
+    metadata = models.JSONField(default=dict, blank=True)
+
+    class Meta:
+        constraints = [
+            models.UniqueConstraint(fields=("user", "character"), name="unique_user_character")
+        ]
+
+
+class SkillPackage(models.Model):
+    story = models.OneToOneField(Story, on_delete=models.CASCADE, related_name="skill_package")
+    real_person = models.CharField(max_length=120)
+    historical_context = models.TextField()
+    fact_sources = models.JSONField(default=list)
+    fictional_scope = models.TextField()
+    creator = models.CharField(max_length=120)

backend/math_life/services.py

@@ -0,0 +1,192 @@
+from copy import deepcopy
+
+from django.db import transaction
+from django.utils import timezone
+from rest_framework.exceptions import ValidationError
+
+from .models import StoryChoice, StoryRun, StoryVersion
+
+
+def score_mathbti(definition, answer_indexes):
+    questions = definition.get("questions", [])
+    if len(answer_indexes) != len(questions):
+        raise ValidationError({"answers": "答案数量与题目数量不一致"})
+
+    axis_scores = {axis["id"]: 0 for axis in definition.get("axes", [])}
+    for question, raw_index in zip(questions, answer_indexes):
+        try:
+            option_index = int(raw_index)
+            options = question["options"]
+            if option_index < 0 or option_index >= len(options):
+                raise IndexError
+            option = options[option_index]
+        except (IndexError, KeyError, TypeError, ValueError) as exc:
+            raise ValidationError({"answers": f"题目 {question.get('id')} 的答案无效"}) from exc
+        axis_scores[question["axis"]] += int(option["score"])
+
+    cutoff = int(definition.get("scoring", {}).get("cutoff", 4))
+    axis_order = definition.get("scoring", {}).get("axes", list(axis_scores))
+    identity_code = "".join("1" if axis_scores[axis] > cutoff else "0" for axis in axis_order)
+    return identity_code, axis_scores
+
+
+def validate_story_content(content):
+    nodes = content.get("nodes")
+    start = content.get("start_node")
+    errors = []
+    if not isinstance(nodes, dict) or not nodes:
+        return ["nodes 必须是非空对象"]
+    if start not in nodes:
+        errors.append("start_node 不存在")
+
+    referenced = set()
+    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")
+            continue
+        for choice in node.get("choices", []):
+            target = choice.get("next")
+            if not target:
+                errors.append(f"{node_id} 存在缺少 next 的选项")
+            elif target not in nodes:
+                errors.append(f"{node_id} 引用了不存在的节点 {target}")
+            else:
+                referenced.add(target)
+
+    if start in nodes:
+        reachable = set()
+        pending = [start]
+        while pending:
+            node_id = pending.pop()
+            if node_id in reachable:
+                continue
+            reachable.add(node_id)
+            pending.extend(
+                choice.get("next")
+                for choice in nodes[node_id].get("choices", [])
+                if choice.get("next") in nodes
+            )
+        unreachable = sorted(set(nodes) - reachable)
+        if unreachable:
+            errors.append(f"存在不可达节点: {', '.join(unreachable[:10])}")
+    return errors
+
+
+def _merge_effects(state, effects):
+    result = deepcopy(state)
+    for key, value in effects.items():
+        if isinstance(value, dict):
+            result[key] = _merge_effects(result.get(key, {}), value)
+        elif isinstance(value, (int, float)):
+            result[key] = result.get(key, 0) + value
+        else:
+            result[key] = value
+    return result
+
+
+def _node_payload(run):
+    node = run.story_version.content["nodes"][run.current_node]
+    choices = [
+        {"index": index, "text": choice.get("text", "")}
+        for index, choice in enumerate(node.get("choices", []))
+    ]
+    return {
+        "run_id": run.id,
+        "story": run.story_version.story.title,
+        "version": run.story_version.version,
+        "status": run.status,
+        "current_node": run.current_node,
+        "state": run.state,
+        "node": {
+            "scene": node.get("scene", ""),
+            "character": node.get("character", ""),
+            "sprite": node.get("sprite", ""),
+            "choices": choices,
+        },
+    }
+
+
+@transaction.atomic
+def start_story(user, story):
+    version = (
+        StoryVersion.objects.select_related("story")
+        .filter(story=story, is_published=True)
+        .order_by("-version")
+        .first()
+    )
+    if version is None:
+        raise ValidationError("该人生尚未发布")
+    active = StoryRun.objects.filter(
+        user=user, story_version=version, status=StoryRun.Status.ACTIVE
+    ).first()
+    if active:
+        return _node_payload(active)
+    run = StoryRun.objects.create(
+        user=user,
+        story_version=version,
+        current_node=version.content["start_node"],
+        state={},
+    )
+    return _node_payload(run)
+
+
+def get_run_payload(run):
+    return _node_payload(run)
+
+
+@transaction.atomic
+def make_choice(*, run_id, user, choice_index, idempotency_key=None):
+    run = (
+        StoryRun.objects.select_for_update()
+        .select_related("story_version__story")
+        .get(id=run_id, user=user)
+    )
+    if idempotency_key:
+        existing = StoryChoice.objects.filter(
+            run=run, idempotency_key=idempotency_key
+        ).first()
+        if existing:
+            return _node_payload(run)
+    if run.status != StoryRun.Status.ACTIVE:
+        raise ValidationError("该人生已经结束")
+
+    node_id = run.current_node
+    node = run.story_version.content["nodes"][node_id]
+    choices = node.get("choices", [])
+    try:
+        normalized_index = int(choice_index)
+        if normalized_index < 0 or normalized_index >= len(choices):
+            raise IndexError
+        choice = choices[normalized_index]
+    except (IndexError, TypeError, ValueError) as exc:
+        raise ValidationError({"choice_index": "选项不存在"}) from exc
+
+    sequence = run.choices.count() + 1
+    effects = choice.get("effects", {})
+    StoryChoice.objects.create(
+        run=run,
+        sequence=sequence,
+        idempotency_key=idempotency_key,
+        node_id=node_id,
+        choice_index=normalized_index,
+        choice_text=choice.get("text", ""),
+        effects=effects,
+    )
+    run.state = _merge_effects(run.state, effects)
+    run.current_node = choice["next"]
+    next_node = run.story_version.content["nodes"][run.current_node]
+    if not next_node.get("choices"):
+        run.status = StoryRun.Status.COMPLETED
+        run.ending_code = run.current_node
+        run.completed_at = timezone.now()
+    run.save(
+        update_fields=[
+            "state",
+            "current_node",
+            "status",
+            "ending_code",
+            "completed_at",
+            "updated_at",
+        ]
+    )
+    return _node_payload(run)

backend/math_life/test_services.py

@@ -0,0 +1,144 @@
+import pytest
+from rest_framework.exceptions import ValidationError
+
+from accounts.models import User
+from math_life.models import Story, StoryChoice, StoryRun, StoryVersion
+from math_life.services import (
+    make_choice,
+    score_mathbti,
+    start_story,
+    validate_story_content,
+)
+
+
+@pytest.fixture
+def mathbti_definition():
+    return {
+        "axes": [{"id": "style"}, {"id": "purpose"}],
+        "scoring": {"axes": ["style", "purpose"], "cutoff": 1},
+        "questions": [
+            {
+                "id": 1,
+                "axis": "style",
+                "options": [{"score": 0}, {"score": 2}],
+            },
+            {
+                "id": 2,
+                "axis": "purpose",
+                "options": [{"score": 0}, {"score": 2}],
+            },
+        ],
+    }
+
+
+def test_score_mathbti_按轴汇总并生成身份编码(mathbti_definition):
+    code, scores = score_mathbti(mathbti_definition, [1, 0])
+
+    assert code == "10"
+    assert scores == {"style": 2, "purpose": 0}
+
+
+def test_score_mathbti_答案数量不一致时拒绝(mathbti_definition):
+    with pytest.raises(ValidationError, match="答案数量"):
+        score_mathbti(mathbti_definition, [1])
+
+
+def test_score_mathbti_负数选项索引必须拒绝(mathbti_definition):
+    with pytest.raises(ValidationError, match="答案无效"):
+        score_mathbti(mathbti_definition, [-1, 0])
+
+
+def test_validate_story_content_报告缺失引用与不可达节点():
+    document = {
+        "start_node": "start",
+        "nodes": {
+            "start": {"choices": [{"text": "错误入口", "next": "missing"}]},
+            "orphan": {"choices": []},
+        },
+    }
+
+    errors = validate_story_content(document)
+
+    assert any("不存在的节点 missing" in error for error in errors)
+    assert any("不可达节点: orphan" in error for error in errors)
+
+
+@pytest.fixture
+def story_setup(db):
+    user = User.objects.create_user(
+        username="story_user",
+        password="StrongPass_2026",
+        nickname="剧情用户",
+    )
+    story = Story.objects.create(slug="test-story", title="测试人生")
+    version = StoryVersion.objects.create(
+        story=story,
+        version=1,
+        is_published=True,
+        content={
+            "start_node": "start",
+            "nodes": {
+                "start": {
+                    "scene": "起点",
+                    "choices": [
+                        {
+                            "text": "向左",
+                            "next": "left_end",
+                            "effects": {"energy": -1, "favorability": {"高斯": 2}},
+                        },
+                        {
+                            "text": "向右",
+                            "next": "right_end",
+                            "effects": {"energy": 2},
+                        },
+                    ],
+                },
+                "left_end": {"scene": "左结局", "choices": []},
+                "right_end": {"scene": "右结局", "choices": []},
+            },
+        },
+    )
+    return user, story, version
+
+
+@pytest.mark.django_db
+def test_make_choice_应用嵌套效果完成结局且幂等(story_setup):
+    user, story, _ = story_setup
+    started = start_story(user, story)
+
+    result = make_choice(
+        run_id=started["run_id"],
+        user=user,
+        choice_index=0,
+        idempotency_key="choice-1",
+    )
+    replay = make_choice(
+        run_id=started["run_id"],
+        user=user,
+        choice_index=0,
+        idempotency_key="choice-1",
+    )
+
+    assert result["status"] == StoryRun.Status.COMPLETED
+    assert result["current_node"] == "left_end"
+    assert result["state"] == {"energy": -1, "favorability": {"高斯": 2}}
+    assert replay["current_node"] == "left_end"
+    assert StoryChoice.objects.count() == 1
+
+
+@pytest.mark.django_db
+def test_make_choice_负数索引必须拒绝且存档不变(story_setup):
+    user, story, _ = story_setup
+    started = start_story(user, story)
+
+    with pytest.raises(ValidationError, match="选项不存在"):
+        make_choice(
+            run_id=started["run_id"],
+            user=user,
+            choice_index=-1,
+            idempotency_key="invalid-choice",
+        )
+
+    run = StoryRun.objects.get(id=started["run_id"])
+    assert run.current_node == "start"
+    assert StoryChoice.objects.count() == 0

backend/math_life/tests.py

@@ -0,0 +1,3 @@
+from django.test import TestCase
+
+# Create your tests here.

backend/math_life/urls.py

@@ -0,0 +1,20 @@
+from django.urls import path
+
+from .views import (
+    MathBTIAssessmentView,
+    MathBTISubmitView,
+    StoryChoiceView,
+    StoryListView,
+    StoryRunView,
+    StoryStartView,
+)
+
+
+urlpatterns = [
+    path("mathbti/", MathBTIAssessmentView.as_view(), name="mathbti-assessment"),
+    path("mathbti/submit/", MathBTISubmitView.as_view(), name="mathbti-submit"),
+    path("stories/", StoryListView.as_view(), name="story-list"),
+    path("stories/<slug:slug>/start/", StoryStartView.as_view(), name="story-start"),
+    path("runs/<uuid:run_id>/", StoryRunView.as_view(), name="story-run"),
+    path("runs/<uuid:run_id>/choice/", StoryChoiceView.as_view(), name="story-choice"),
+]

backend/math_life/views.py

@@ -0,0 +1,129 @@
+from copy import deepcopy
+
+from django.shortcuts import get_object_or_404
+from rest_framework import permissions, status
+from rest_framework.response import Response
+from rest_framework.views import APIView
+
+from progression.services import initialize_math_identity
+
+from .models import (
+    MathBTIAssessment,
+    MathBTIResult,
+    MathIdentity,
+    Story,
+    StoryRun,
+)
+from .services import get_run_payload, make_choice, score_mathbti, start_story
+
+
+class MathBTIAssessmentView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request):
+        assessment = (
+            MathBTIAssessment.objects.filter(is_published=True).order_by("-published_at").first()
+        )
+        if assessment is None:
+            return Response(
+                {"error": {"code": "not_published", "message": "MathBTI 尚未发布"}},
+                status=status.HTTP_404_NOT_FOUND,
+            )
+        definition = deepcopy(assessment.definition)
+        for question in definition.get("questions", []):
+            for option in question.get("options", []):
+                option.pop("score", None)
+        definition.pop("results", None)
+        return Response({"version": assessment.version, "definition": definition})
+
+
+class MathBTISubmitView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def post(self, request):
+        assessment = get_object_or_404(
+            MathBTIAssessment,
+            version=request.data.get("version"),
+            is_published=True,
+        )
+        identity_code, axis_scores = score_mathbti(
+            assessment.definition,
+            request.data.get("answers", []),
+        )
+        identity = get_object_or_404(MathIdentity, code=identity_code)
+        if request.user.is_authenticated:
+            result = MathBTIResult.objects.create(
+                user=request.user,
+                assessment=assessment,
+                identity=identity,
+                answers=request.data.get("answers", []),
+                axis_scores=axis_scores,
+            )
+            initialize_math_identity(request.user, identity)
+            result_id = result.id
+        else:
+            result_id = None
+        return Response(
+            {
+                "id": result_id,
+                "identity": {
+                    "code": identity.code,
+                    "name": identity.name,
+                    "clan": identity.clan,
+                    "mathematician": identity.mathematician,
+                    "description": identity.description,
+                    "portrait": identity.portrait,
+                    "initial_abilities": identity.initial_abilities,
+                },
+                "axis_scores": axis_scores,
+            },
+            status=status.HTTP_201_CREATED,
+        )
+
+
+class StoryListView(APIView):
+    permission_classes = [permissions.AllowAny]
+
+    def get(self, request):
+        stories = Story.objects.filter(is_visible=True).order_by("kind", "title")
+        return Response(
+            [
+                {
+                    "slug": story.slug,
+                    "title": story.title,
+                    "summary": story.summary,
+                    "kind": story.kind,
+                    "estimated_minutes": story.estimated_minutes,
+                    "available": story.versions.filter(is_published=True).exists(),
+                }
+                for story in stories
+            ]
+        )
+
+
+class StoryStartView(APIView):
+    def post(self, request, slug):
+        story = get_object_or_404(Story, slug=slug, is_visible=True)
+        return Response(start_story(request.user, story), status=status.HTTP_201_CREATED)
+
+
+class StoryRunView(APIView):
+    def get(self, request, run_id):
+        run = get_object_or_404(
+            StoryRun.objects.select_related("story_version__story"),
+            id=run_id,
+            user=request.user,
+        )
+        return Response(get_run_payload(run))
+
+
+class StoryChoiceView(APIView):
+    def post(self, request, run_id):
+        get_object_or_404(StoryRun, id=run_id, user=request.user)
+        payload = make_choice(
+            run_id=run_id,
+            user=request.user,
+            choice_index=request.data.get("choice_index"),
+            idempotency_key=request.headers.get("Idempotency-Key"),
+        )
+        return Response(payload)

backend/progression/admin.py

@@ -0,0 +1,10 @@
+from django.contrib import admin
+
+from .models import Card, RewardTransaction, UserAbility, UserCard, UserPet
+
+
+admin.site.register(UserPet)
+admin.site.register(UserAbility)
+admin.site.register(Card)
+admin.site.register(UserCard)
+admin.site.register(RewardTransaction)

backend/progression/apps.py

@@ -0,0 +1,6 @@
+from django.apps import AppConfig
+
+
+class ProgressionConfig(AppConfig):
+    default_auto_field = 'django.db.models.BigAutoField'
+    name = 'progression'

backend/progression/migrations/0001_initial.py

@@ -0,0 +1,83 @@
+# Generated by Django 4.2.23 on 2026-08-08 11:15
+
+from django.conf import settings
+from django.db import migrations, models
+import django.db.models.deletion
+
+
+class Migration(migrations.Migration):
+
+    initial = True
+
+    dependencies = [
+        migrations.swappable_dependency(settings.AUTH_USER_MODEL),
+    ]
+
+    operations = [
+        migrations.CreateModel(
+            name='Card',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('slug', models.SlugField(unique=True)),
+                ('name', models.CharField(max_length=80)),
+                ('mathematician', models.CharField(max_length=80)),
+                ('description', models.TextField()),
+                ('image', models.CharField(blank=True, max_length=200)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='UserPet',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('name', models.CharField(default='小葫芦', max_length=40)),
+                ('level', models.PositiveIntegerField(default=1)),
+                ('experience', models.PositiveIntegerField(default=0)),
+                ('appearance', models.JSONField(blank=True, default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('user', models.OneToOneField(on_delete=django.db.models.deletion.CASCADE, related_name='pet', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='UserCard',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('source', models.CharField(max_length=80)),
+                ('acquired_at', models.DateTimeField(auto_now_add=True)),
+                ('card', models.ForeignKey(on_delete=django.db.models.deletion.PROTECT, to='progression.card')),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='cards', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='UserAbility',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('dimension', models.CharField(choices=[('vision', '眼光'), ('humanities', '人文'), ('detection', '侦探'), ('modeling', '建模'), ('connection', '联结')], max_length=20)),
+                ('level', models.PositiveIntegerField(default=0)),
+                ('fragments', models.PositiveIntegerField(default=0)),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='abilities', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.CreateModel(
+            name='RewardTransaction',
+            fields=[
+                ('id', models.BigAutoField(auto_created=True, primary_key=True, serialize=False, verbose_name='ID')),
+                ('idempotency_key', models.CharField(max_length=100)),
+                ('source', models.CharField(max_length=80)),
+                ('rewards', models.JSONField(default=dict)),
+                ('created_at', models.DateTimeField(auto_now_add=True)),
+                ('user', models.ForeignKey(on_delete=django.db.models.deletion.CASCADE, related_name='rewards', to=settings.AUTH_USER_MODEL)),
+            ],
+        ),
+        migrations.AddConstraint(
+            model_name='usercard',
+            constraint=models.UniqueConstraint(fields=('user', 'card'), name='unique_user_card'),
+        ),
+        migrations.AddConstraint(
+            model_name='userability',
+            constraint=models.UniqueConstraint(fields=('user', 'dimension'), name='unique_user_ability'),
+        ),
+        migrations.AddConstraint(
+            model_name='rewardtransaction',
+            constraint=models.UniqueConstraint(fields=('user', 'idempotency_key'), name='unique_user_reward_transaction'),
+        ),
+    ]