chore(格式): Prettier 统一到全仓，后端和契约一次性格式化

原来只有 `apps/web` 在 Prettier 下（配置在 `apps/web/.prettierrc.toml`、脚本在
web 的 package.json），后端和契约从来没格式化过 —— 手写在 100 列上下，`db/schema.ts`
还是 drizzle-kit pull 留下的 tab 缩进。两套口径分叉久了，跨端改一处就得记着「这边
什么风格」。

- 配置搬到根目录 `.prettierrc.toml`，内容不变（`semi=false`，其余全默认，
  printWidth 80 —— 和前端已有的格式一致，不另立一套宽度）；
- 脚本统一成根目录 `bun run fmt`，覆盖 `apps/*/src`、`apps/web/tests` 和两个构建
  配置；web 自己那份 `fmt` 和重复的 prettier 依赖删掉；
- `.prettierignore` 挡掉两类不该碰的：drizzle-kit 生成的 `src/db/meta/` 结构快照
  （它是 db:generate 的比对输入，只该由 drizzle-kit 写）、unplugin 每次 dev 都会
  重写的 `auto-imports.d.ts` / `components.d.ts`；
- 全量跑了一遍。纯格式，无行为改动：api typecheck / check:routes / check:ast、
  前端 type-check 全过，起 api 打了接口确认正常。前端这 39 个文件的小改动是
  prettier 版本漂移（类型断言的换行口径变了），不是新配置带来的。

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

packages/contract/src/problem.ts

@@ -148,7 +148,10 @@ const C_NODE_TARGETS = {
   include: { label: "#include 指令", node: "preproc_include" },
 } satisfies Record<string, AstNodeTarget>
 
-export const AST_NODE_TARGETS_BY_LANGUAGE: Record<string, Record<string, AstNodeTarget>> = {
+export const AST_NODE_TARGETS_BY_LANGUAGE: Record<
+  string,
+  Record<string, AstNodeTarget>
+> = {
   C: C_NODE_TARGETS,
   /**
    * tree-sitter-cpp 继承 tree-sitter-c 的语法，C 那 14 条在 C++ 树里逐个实测通用，
@@ -225,24 +228,62 @@ export const AST_NODE_TARGETS_BY_LANGUAGE: Record<string, Record<string, AstNode
  * 恒等的条目（`+`、`==` …）写全是因为这张表同时是后台下拉的选项来源。
  */
 const C_OPERATOR_TARGETS = {
-  "+": "+", "-": "-", "*": "*", "/": "/", "%": "%",
-  "+=": "+=", "-=": "-=", "*=": "*=", "/=": "/=", "%=": "%=",
-  "++": "++", "--": "--",
-  "==": "==", "!=": "!=", ">": ">", ">=": ">=", "<": "<", "<=": "<=",
-  and: "&&", or: "||", not: "!",
-  "&": "&", "|": "|",
+  "+": "+",
+  "-": "-",
+  "*": "*",
+  "/": "/",
+  "%": "%",
+  "+=": "+=",
+  "-=": "-=",
+  "*=": "*=",
+  "/=": "/=",
+  "%=": "%=",
+  "++": "++",
+  "--": "--",
+  "==": "==",
+  "!=": "!=",
+  ">": ">",
+  ">=": ">=",
+  "<": "<",
+  "<=": "<=",
+  and: "&&",
+  or: "||",
+  not: "!",
+  "&": "&",
+  "|": "|",
 }
 
-export const AST_OPERATOR_TARGETS_BY_LANGUAGE: Record<string, Record<string, string>> = {
+export const AST_OPERATOR_TARGETS_BY_LANGUAGE: Record<
+  string,
+  Record<string, string>
+> = {
   C: C_OPERATOR_TARGETS,
   // `<<` / `>>` 对 C++ 主要是 cout/cin 的流运算符（位移是同一个 token）
   "C++": { ...C_OPERATOR_TARGETS, "<<": "<<", ">>": ">>" },
   Python3: {
-    "+": "+", "-": "-", "*": "*", "/": "/", "//": "//", "%": "%", "**": "**",
-    "+=": "+=", "-=": "-=", "*=": "*=", "/=": "/=", "%=": "%=",
-    "==": "==", "!=": "!=", ">": ">", ">=": ">=", "<": "<", "<=": "<=",
-    and: "and", or: "or", not: "not",
-    "&": "&", "|": "|",
+    "+": "+",
+    "-": "-",
+    "*": "*",
+    "/": "/",
+    "//": "//",
+    "%": "%",
+    "**": "**",
+    "+=": "+=",
+    "-=": "-=",
+    "*=": "*=",
+    "/=": "/=",
+    "%=": "%=",
+    "==": "==",
+    "!=": "!=",
+    ">": ">",
+    ">=": ">=",
+    "<": "<",
+    "<=": "<=",
+    and: "and",
+    or: "or",
+    not: "not",
+    "&": "&",
+    "|": "|",
   },
 }
 
@@ -254,11 +295,12 @@ export const AST_OPERATOR_TARGETS_BY_LANGUAGE: Record<string, Record<string, str
 export const AST_SUPPORTED_LANGUAGES = Object.keys(AST_NODE_TARGETS_BY_LANGUAGE)
 
 /** 全语言的节点中文名并集，只给拿不到语言的场合做回落。有语言一律走 astNodeLabel() */
-export const AST_NODE_TARGET_LABELS: Record<string, string> = Object.fromEntries(
-  Object.values(AST_NODE_TARGETS_BY_LANGUAGE).flatMap((table) =>
-    Object.entries(table).map(([target, entry]) => [target, entry.label]),
-  ),
-)
+export const AST_NODE_TARGET_LABELS: Record<string, string> =
+  Object.fromEntries(
+    Object.values(AST_NODE_TARGETS_BY_LANGUAGE).flatMap((table) =>
+      Object.entries(table).map(([target, entry]) => [target, entry.label]),
+    ),
+  )
 
 export function astNodeLabel(target: string, language?: string): string {
   const table = language ? AST_NODE_TARGETS_BY_LANGUAGE[language] : undefined
@@ -279,7 +321,11 @@ export function astTargetNodeType(target: string, language: string): string {
 }
 
 export function astOperatorLabel(target: string, language?: string): string {
-  return (language ? AST_OPERATOR_TARGETS_BY_LANGUAGE[language]?.[target] : undefined) ?? target
+  return (
+    (language
+      ? AST_OPERATOR_TARGETS_BY_LANGUAGE[language]?.[target]
+      : undefined) ?? target
+  )
 }
 
 /**
@@ -297,7 +343,9 @@ export function astRuleIsMeaningful(rule: {
   max?: number
 }): boolean {
   if (!rule.engine.startsWith("count")) return true
-  return rule.exact !== undefined || rule.min !== undefined || rule.max !== undefined
+  return (
+    rule.exact !== undefined || rule.min !== undefined || rule.max !== undefined
+  )
 }
 
 /**