feat: add home page with search/unassigned tables; center login card

- Add home view as default: search by inv number, unassigned equipment
  table with auditory assignment, search results (assigned) table
- Add inv_number query param to GET /oboruds/ for backend search
- Center login card vertically and horizontally via flexbox

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

frontend/app.js

@@ -17,7 +17,7 @@ async function fetchJSON(url) {
 createApp({
   data() {
     return {
-      view: 'byAud',
+      view: 'home',
       auditories: [],
       selectedAudId: '',
       oboruds: [],
@@ -27,6 +27,11 @@ createApp({
       status: '',
       error: '',
       printTitle: '',
+      // home view
+      homeSearch: '',
+      homeUnassigned: [],
+      homeSearchResults: [],
+      homeSearchDone: false,
       // auth/user management
       token: '',
       role: '',
@@ -72,6 +77,69 @@ createApp({
     canEdit() { return this.isAdmin || this.isEditor; },
   },
   methods: {
+    async showHome() {
+      this.view = 'home';
+      this.status = '';
+      this.error = '';
+      this.homeSearch = '';
+      this.homeSearchResults = [];
+      this.homeSearchDone = false;
+      await this.loadHomeUnassigned();
+    },
+    async loadHomeUnassigned() {
+      this.status = 'Загрузка нераспределённого оборудования…';
+      this.error = '';
+      try {
+        const data = await fetchJSON('/oboruds/?unassigned=true&sort_by_inv=true');
+        this.homeUnassigned = data.map(it => ({ ...it, selectedAudId: '' }));
+        this.status = '';
+      } catch (e) {
+        console.error(e);
+        this.error = 'Не удалось загрузить данные';
+        this.status = '';
+      }
+    },
+    async doHomeSearch() {
+      const q = this.homeSearch.trim();
+      if (!q) {
+        this.status = 'Введите инвентарный номер';
+        return;
+      }
+      this.status = 'Поиск…';
+      this.error = '';
+      this.homeSearchDone = false;
+      try {
+        const data = await fetchJSON(`/oboruds/?inv_number=${encodeURIComponent(q)}`);
+        this.homeSearchResults = data.filter(it => it.aud_id).map(it => ({ ...it, selectedAudId: '' }));
+        this.homeSearchDone = true;
+        this.status = '';
+      } catch (e) {
+        console.error(e);
+        this.error = 'Не удалось выполнить поиск';
+        this.status = '';
+      }
+    },
+    async assignToAuditory(item) {
+      if (!item.selectedAudId) {
+        this.status = 'Выберите аудиторию';
+        return;
+      }
+      try {
+        this.status = 'Сохранение…';
+        this.error = '';
+        await this.fetchAuth(`/oboruds/${item.id}`, {
+          method: 'PATCH',
+          headers: { 'Content-Type': 'application/json' },
+          body: JSON.stringify({ aud_id: item.selectedAudId }),
+        });
+        await this.loadHomeUnassigned();
+        this.status = 'Сохранено';
+      } catch (e) {
+        console.error(e);
+        this.error = 'Не удалось назначить аудиторию';
+        this.status = '';
+      }
+    },
     logout() {
       try {
         localStorage.removeItem('access_token');
@@ -592,6 +660,7 @@ createApp({
     this.loadAuditories();
     this.loadOwners();
     this.loadEquipmentTypes();
+    this.loadHomeUnassigned();
     if (this.isAdmin) {
       this.loadUsers();
     }