refactor: 一批名不副实的命名改掉（只动一端，不碰契约）

后端：
- getUserByToken → authenticateToken：它会删会话、续 TTL、记在线，不是纯读
- todayStart → dayStart(instant)：本来就接受任意时刻，不只是「今天」
- objectValue → asRecord，删掉 4 份一模一样的私有拷贝和 `as toObject` 别名
- 报错文案 "does not exists" / "Already be a public problem" 改通顺

前端：
- utils/types 里 Contest / User / Problem 三个别名删掉：Contest 原来指后台
  比赛、契约里同名的却是学生侧。现在 Contest = 学生侧、AdminContest = 后台，
  后台用户表单叫 AdminUserForm，题目详情直接用 ProblemDetail
- SubmissionInfo → ContestSubmissionInfo，免得和 submission.info 撞名
- utoa / atou → compressToBase64 / decompressFromBase64（实际是 zlib + base64），
  encode / decode → base64EncodeUtf8 / base64DecodeUtf8
- filterResult → toProblemRow、toProblemListItem → toAdminProblemRow，
  行字段 submission / rate → submissionCount / acRate
- 组件：Modal → AddFromLibraryModal、Form → EditorToolbar、
  ContestEditor → BasicEditor（题单也在用它）、rank 的 Index → RankMedal、
  Name → UserNameCell、Password → PasswordCell、ContestType → ContestAccessTag

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/api/src/routes/account.ts

@@ -54,12 +54,7 @@ import {
   type AttemptRule,
 } from "../services/throttling"
 import { localTime, weekStart } from "../time"
-import {
-  isTeacherOrAbove,
-  objectValue,
-  queryInteger,
-  sampleUser,
-} from "./helpers"
+import { isTeacherOrAbove, asRecord, queryInteger, sampleUser } from "./helpers"
 
 export const accountRoutes = new Hono<AppEnv>()
 
@@ -632,8 +627,8 @@ accountRoutes.post(
       .from(schema.userProfile)
       .where(eq(schema.userProfile.userId, user.id))
       .limit(1)
-    const status = objectValue(profile?.value)
-    const problems = objectValue(status.problems)
+    const status = asRecord(profile?.value)
+    const problems = asRecord(status.problems)
     const ids = Object.keys(problems).map(Number).filter(Number.isInteger)
     if (ids.length > 0) {
       const rows = await db
@@ -649,7 +644,7 @@ accountRoutes.post(
         rows.map((row) => [String(row.id), row.displayId]),
       )
       for (const [id, value] of Object.entries(problems)) {
-        const item = objectValue(value)
+        const item = asRecord(value)
         const displayId = displayIds.get(id)
         if (displayId) item._id = displayId
         problems[id] = item