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/problemset.ts

@@ -33,7 +33,7 @@ import {
 import { db, schema } from "../db"
 import { failure, parseBody, success } from "../http"
 import { computeProgress } from "../services/problemset"
-import { asFilterValue, objectValue, queryInteger, sampleUser } from "./helpers"
+import { asFilterValue, asRecord, queryInteger, sampleUser } from "./helpers"
 
 export const problemsetRoutes = new Hono<AppEnv>()
 
@@ -299,7 +299,7 @@ problemsetRoutes.get("/problem-sets/:id/problems", optionalAuth, async (c) => {
         )
         .limit(1)
     : []
-  const completed = objectValue(progressRows[0]?.detail)
+  const completed = asRecord(progressRows[0]?.detail)
   return success(
     c,
     rows.map(
@@ -582,7 +582,7 @@ problemsetRoutes.get(
           totalProblemsCount: progress.totalProblemsCount,
           totalScore: progress.totalScore,
           completedProblems: Object.keys(
-            objectValue(progress.progressDetail),
+            asRecord(progress.progressDetail),
           ).flatMap((key) => problemMap.get(key) ?? []),
         }) satisfies ProblemSetProgress,
     )