feat(提交): 采集编辑过程信号，落进 submission_trace

AI 时代 OJ 设计的第 1 步：给「可信 AC」和学情分析攒数据，本身不判任何事。
- 契约：提交请求加可选的 trace（活跃时长、键入/粘贴/删除字符数、切后台次数等，
  只有计数、不含按键内容）；写成 .optional().catch(undefined)，坏了就当没带，
  不让附带数据把提交挡成 400
- 迁移 0016 建 submission_trace，与 submission 一对一、CASCADE；since_prev_ms
  由服务端在同一条 INSERT 里算（排掉自身），bigint —— 实测已有 44 天的间隔，int4 装不下
- 后端写 trace 失败只记日志，不影响提交
- 前端 oj/problem/utils/editTrace.ts 是模块单例（扩展对象不能过 Pinia 的响应式代理），
  只数带 userEvent 的事务：格式化回写 / 载入草稿 / 协作对方的改动天然排除；
  closeBrackets 越过右括号时是原样替换，按 no-op 跳过。比赛编辑器同样挂上
- 实跑：后端四种请求、前端浏览器里键入/粘贴/删除/setCode 回写/切后台/提交后清零，
  计数与预期逐项一致

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

apps/web/src/oj/problem/components/ContestEditor.vue

@@ -7,6 +7,7 @@ import CodeEditor from "shared/components/CodeEditor.vue"
 import { useBreakpoints } from "shared/composables/breakpoints"
 import storage from "utils/storage"
 import type { LANGUAGE } from "utils/types"
+import { beginEditTrace, editTraceExtensions } from "oj/problem/utils/editTrace"
 import Form from "./Form.vue"
 
 const route = useRoute()
@@ -34,6 +35,10 @@ onMounted(() => {
       problem.value!.template[codeStore.code.language] ||
       SOURCES[codeStore.code.language],
   )
+  beginEditTrace(
+    `problem_${problem.value!._id}_contest_${contestID}`,
+    codeStore.code.value.length,
+  )
 })
 
 const changeCode = (v: string) => {
@@ -58,6 +63,7 @@ const changeLanguage = (v: LANGUAGE) => {
       v-model:value="codeStore.code.value"
       :language="codeStore.code.language"
       :height="editorHeight"
+      :extra-extensions="editTraceExtensions"
       @update:model-value="changeCode"
     />
   </n-flex>

apps/web/src/oj/problem/components/ProblemEditor.vue

@@ -8,6 +8,7 @@ import SyncCodeEditor from "shared/components/SyncCodeEditor.vue"
 import { useBreakpoints } from "shared/composables/breakpoints"
 import storage from "utils/storage"
 import type { LANGUAGE } from "utils/types"
+import { beginEditTrace, editTraceExtensions } from "oj/problem/utils/editTrace"
 import Form from "./Form.vue"
 
 const FlowchartEditor = defineAsyncComponent(
@@ -98,6 +99,11 @@ function loadCode() {
       problem.value!.template[codeStore.code.language] ||
       SOURCES[codeStore.code.language],
   )
+  // 换了题才重新计数，同一道题重复 loadCode（协作结束读回草稿）是接着记
+  beginEditTrace(
+    `problem_${problem.value!._id}_contest_${contestID}`,
+    codeStore.code.value.length,
+  )
 }
 
 onMounted(loadCode)
@@ -151,6 +157,7 @@ provide("flowchartEditorRef", flowchartEditorRef)
       :language="codeStore.code.language"
       :problem-id="problem!._id"
       :height="editorHeight"
+      :extra-extensions="editTraceExtensions"
       @update:model-value="changeCode"
     />
   </n-flex>

apps/web/src/oj/problem/components/SubmitCode.vue

@@ -12,6 +12,8 @@ import SubmissionResult from "./SubmissionResult.vue"
 import { getSubmitButtonState } from "./submitButtonState"
 import { useBreakpoints } from "shared/composables/breakpoints"
 import { useUserStore } from "shared/store/user"
+import { useCollabStore } from "shared/store/collab"
+import { restartEditTrace, snapshotEditTrace } from "oj/problem/utils/editTrace"
 import {
   checkPythonSyntax,
   prefetchPythonSyntaxChecker,
@@ -24,6 +26,7 @@ const ProblemReaction = defineAsyncComponent(
 
 // ==================== 基础状态 ====================
 const userStore = useUserStore()
+const collabStore = useCollabStore()
 const codeStore = useCodeStore()
 const problemStore = useProblemStore()
 const { problem } = storeToRefs(problemStore)
@@ -147,6 +150,11 @@ async function submit() {
     problemId: problem.value!.id,
     language: codeStore.code.language,
     code: codeStore.code.value,
+    // 编辑过程信号，见 utils/editTrace.ts。协作的判断和 ProblemEditor 的 collabHere 同一个口径
+    trace: snapshotEditTrace(
+      collabStore.room !== null &&
+        collabStore.room.problemId === problem.value!._id,
+    ),
   }
   if (contestID) {
     data.contestId = parseInt(contestID)
@@ -161,6 +169,8 @@ async function submit() {
   try {
     const res = await submitCode(data)
     console.log(`[Submit] 代码已提交: ID=${res.submissionId}`)
+    // 交上了才清零；被限流 / 网络失败的话这一段接着记，下次提交一起报
+    restartEditTrace(codeStore.code.value.length)
 
     // 3. 启动冷却 + 监控
     startCooldown()