refactor(前端): shared / utils 不再 import oj 和 admin 下的任何东西

依赖方向原来是反的：顶栏、登录框、举手列表这些 shared 组件从 oj/ 里拿东西。
- 跨端的接口挪进 shared/api.ts（按 apps/web/CLAUDE.md 的分法）：学生端题目列表、
  出题人列表、这节课的题、待弹的成就
- 这节课的 store → shared/store/lesson.ts；头像 RankAvatar → shared/components
- 纯函数挪进 utils/：举手列表的错法归类 errorKind、它依赖的答案错误分类 wrongAnswer
  和 Python 报错翻译 pythonError、题目列表行的 toProblemRow
- 只有后台在用的出题人下拉 AuthorSelect 挪回 admin/components

纯搬家。首页、题目列表、题目页、排名、课堂看板、后台题目列表打开无报错，
顶栏题号框敲 1001 回车直达题目页。

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

apps/web/src/utils/errorKind.ts

@@ -0,0 +1,107 @@
+import { classifyDiff, type DiffKind } from "utils/wrongAnswer"
+import { JUDGE_STATUS, SubmissionStatus } from "utils/constants"
+import type { ClassBoardCell } from "utils/types"
+
+/**
+ * 课堂看板：一道题错着的人「按错法归堆」（设计稿「课堂看板重设计」A+B）。老师讲错误时
+ * 要的是「这道题全班错在哪」：同一种错讲一遍就够，所以按最后一次提交归类，堆名要短，
+ * 一眼能读完 —— 长的中文解释在点开之后的弹层里（和提交详情同一份）。
+ *
+ * 依据是提交里存的 runtime_error / sample_check（判题机写的），和提交详情、题目页结果区同源。
+ */
+export type BoardLatest = NonNullable<ClassBoardCell["latest"]>
+
+export interface ErrorKind {
+  /** 归堆用：同一个 key 是同一种错 */
+  key: string
+  label: string
+  /** 报错指到的行，答案错误没有 */
+  line: number | null
+}
+
+const DIFF_LABEL: Record<DiffKind, string> = {
+  "no-output": "什么都没输出",
+  whitespace: "只差空格、换行",
+  punctuation: "中英文标点不对",
+  case: "大小写不对",
+  extra: "多输出了东西",
+  missing: "少输出了东西",
+  "number-format": "小数位数不对",
+  values: "算出来的数不对",
+  other: "输出和例子不一样",
+}
+
+/** runtime-diagnosis.ts 细分出来的 kind 里常见的几种；没列的按异常类型归 */
+const KIND_LABEL: Record<string, string> = {
+  "int-parse": "int() 转换失败",
+  "float-parse": "float() 转换失败",
+  unpack: "拆出来的个数对不上",
+  "unpack-number": "一个数拆给好几个变量",
+  "str-concat": "文字和数字用 + 连",
+  operand: "文字和数字一起算",
+  compare: "文字和数字比大小",
+  "not-int": "该给整数的地方不是整数",
+  "format-spec": "保留小数的格式写错",
+  "not-callable": "把不是函数的当函数用",
+  "func-value": "函数名后面忘了括号",
+  "none-value": "拿 None 接着用",
+  "map-value": "map() 的结果没转成列表",
+}
+
+const TYPE_LABEL: Record<string, string> = {
+  EOFError: "input() 用多了",
+  IndexError: "下标越界",
+  ZeroDivisionError: "除以 0",
+  KeyError: "字典里没有这个键",
+  RecursionError: "递归停不下来",
+  UnboundLocalError: "变量还没赋值就用",
+  ModuleNotFoundError: "导入了没有的模块",
+  ImportError: "导入了没有的模块",
+  ValueError: "值不符合要求",
+  TypeError: "类型不对",
+}
+
+/** C / C++ 只有信号：11 段错误、8 除零 */
+const SIGNAL_LABEL: Record<number, string> = {
+  11: "数组越界或指针出错",
+  8: "除以 0",
+}
+
+export function errorKind(latest: BoardLatest): ErrorKind {
+  const result = latest.result
+  if (result === SubmissionStatus.wrong_answer) {
+    const check = latest.sampleCheck
+    if (!check) return { key: "wa", label: "答案错误", line: null }
+    if (check.passed) return { key: "wa-hidden", label: "例子都对，错在没公开的测试点", line: null }
+    const diff = classifyDiff(check.expected ?? "", check.output ?? "")
+    return { key: `wa-${diff}`, label: DIFF_LABEL[diff], line: null }
+  }
+  if (result === SubmissionStatus.runtime_error) {
+    const rt = latest.runtimeError
+    const line = rt?.line ?? null
+    if (!rt) return { key: "re", label: "运行时出错", line }
+    if (rt.signal && SIGNAL_LABEL[rt.signal]) {
+      return { key: `re-signal-${rt.signal}`, label: SIGNAL_LABEL[rt.signal]!, line }
+    }
+    if (rt.type === "NameError") {
+      return rt.name
+        ? { key: `re-name-${rt.name}`, label: `「${rt.name}」没有定义`, line }
+        : { key: "re-name", label: "用了没定义的名字", line }
+    }
+    if (rt.kind && KIND_LABEL[rt.kind]) {
+      return { key: `re-${rt.kind}`, label: KIND_LABEL[rt.kind]!, line }
+    }
+    if (rt.type && TYPE_LABEL[rt.type]) {
+      return { key: `re-${rt.type}`, label: TYPE_LABEL[rt.type]!, line }
+    }
+    return { key: "re", label: "运行时出错", line }
+  }
+  if (result === SubmissionStatus.compile_error) {
+    return { key: "ce", label: "编译没通过", line: null }
+  }
+  return {
+    key: `r${result}`,
+    label: JUDGE_STATUS[result as keyof typeof JUDGE_STATUS]?.name ?? "没通过",
+    line: null,
+  }
+}