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/web/src/oj/contest/pages/problems.vue

@@ -1,5 +1,5 @@
 <script setup lang="ts">
-import type { ProblemFiltered } from "utils/types"
+import type { ProblemRow } from "utils/types"
 import ProblemStatus from "oj/problem/components/ProblemStatus.vue"
 import { useContestStore } from "oj/store/contest"
 import { renderTableTitle } from "utils/renders"
@@ -8,7 +8,7 @@ const props = defineProps<{ contestID: string }>()
 
 const router = useRouter()
 const contestStore = useContestStore()
-const problemsColumns: DataTableColumn<ProblemFiltered>[] = [
+const problemsColumns: DataTableColumn<ProblemRow>[] = [
   {
     title: renderTableTitle("状态", "streamline-ultimate-color:music-note-1"),
     key: "status",
@@ -27,19 +27,19 @@ const problemsColumns: DataTableColumn<ProblemFiltered>[] = [
   },
   {
     title: renderTableTitle("提交数", "streamline-emojis:clinking-beer-mugs"),
-    key: "submission",
+    key: "submissionCount",
     align: "center",
     width: 120,
   },
   {
     title: renderTableTitle("通过率", "streamline-emojis:clapping-hands-1"),
-    key: "rate",
+    key: "acRate",
     align: "center",
     width: 120,
   },
 ]
 
-function rowProps(row: ProblemFiltered) {
+function rowProps(row: ProblemRow) {
   return {
     style: "cursor: pointer",
     onClick() {