Enhance staffing management with uncovered teacher tracking

- Updated `protocol.md` to clarify the concept of uncovered subjects and the number of additional teachers required.
- Introduced `teachersShort` property in the `StaffingSubject` interface to indicate how many more teachers are needed for a subject.
- Enhanced localization strings to reflect the new uncovered teacher information in both English and Russian.
- Updated the management panel UI to display the number of teachers short for each uncovered subject.
- Revised the `Uncovered` method in the staffing logic to return detailed information about uncovered subjects, including the shortfall of teachers.
- Added tests to validate the new uncovered teacher tracking functionality and ensure accurate reporting in the staffing API.
- Marked related tasks as complete in the documentation for the golden fixtures phase.

src/HSchool.Client/src/i18n/strings.test.ts

@@ -24,6 +24,8 @@ describe('t', () => {
     expect(t('peoplePager', { page: 2, pages: 10, total: 512 })).toBe('Page 2 of 10 · 512');
     expect(t('staffErrorPayroll', { allocated: '10 000', payroll: '8 000', remaining: '2 000', attempted: '12 000' }))
       .toBe('Not enough money: 8 000 of 10 000 is committed, 2 000 free, 12 000 needed.');
+    expect(t('staffUncoveredShort', { label: 'Начальные классы', min: 1, max: 4, n: 3 }))
+      .toBe('Начальные классы (1–4) — 3 short');
     expect(t('mapOccupancy', { name: 'Кабинет 204', activity: 'Математика · 5Б' }))
       .toBe('Кабинет 204 (Математика · 5Б)');
     expect(t('mapHeadcount', { name: 'Коридор', count: 12 })).toBe('Коридор (12)');

src/HSchool.Client/src/i18n/strings.ts

@@ -159,6 +159,7 @@ const ru = {
   staffColPay: 'В месяц',
   staffAsk: '{hourly}/ч · {monthly}/мес',
   staffSubjectRange: '{label} ({min}–{max})',
+  staffUncoveredShort: '{label} ({min}–{max}) — не хватает {n}',
   staffParent: 'родитель',
   staffPickHint: 'Выберите сотрудника в списке или откройте соискателей.',
   staffHireTitle: 'Наём',
@@ -369,6 +370,7 @@ const en: Messages = {
   staffColPay: 'Monthly',
   staffAsk: '{hourly}/h · {monthly}/mo',
   staffSubjectRange: '{label} ({min}–{max})',
+  staffUncoveredShort: '{label} ({min}–{max}) — {n} short',
   staffParent: 'parent',
   staffPickHint: 'Select a staff member in the list, or open the applicants.',
   staffHireTitle: 'Hire',

src/HSchool.Client/src/net/api.ts

@@ -321,6 +321,7 @@ export interface StaffingSubject {
   readonly gradeMin: number;
   readonly gradeMax: number;
   readonly hoursPerWeek: number;
+  readonly teachersShort: number;
 }
 
 export interface StaffingApplicant {

src/HSchool.Client/src/ui/managementPanel.ts

@@ -257,10 +257,11 @@ export class ManagementPanel {
       this.uncovered.append(
         el('span', {
           class: 'people__tag',
-          text: t('staffSubjectRange', {
+          text: t('staffUncoveredShort', {
             label: subject.label,
             min: subject.gradeMin,
             max: subject.gradeMax,
+            n: subject.teachersShort,
           }),
         }),
       );