Public scoreboard stopwatch feature

#10

db/migrate/20251209073711_add_start_time_to_contest.rb

@@ -0,0 +1,5 @@
+class AddStartTimeToContest < ActiveRecord::Migration[8.0]
+  def change
+    add_column :contests, :start_time, :datetime
+  end
+end

db/migrate/20251209075739_add_pause_time_to_contest.rb

@@ -0,0 +1,5 @@
+class AddPauseTimeToContest < ActiveRecord::Migration[8.0]
+  def change
+    add_column :contests, :pause_time, :datetime
+  end
+end

db/migrate/20251209081941_add_show_stopwatch_to_contest.rb

@@ -0,0 +1,5 @@
+class AddShowStopwatchToContest < ActiveRecord::Migration[8.0]
+  def change
+    add_column :contests, :show_stopwatch, :boolean
+  end
+end

db/schema.rb

@@ -10,7 +10,7 @@
 #
 # It's strongly recommended that you check this file into your version control system.
 
-ActiveRecord::Schema[8.0].define(version: 2025_12_04_100550) do
+ActiveRecord::Schema[8.0].define(version: 2025_12_09_081941) do
   create_table "active_storage_attachments", force: :cascade do |t|
     t.string "name", null: false
     t.string "record_type", null: false
@@ -103,6 +103,9 @@ ActiveRecord::Schema[8.0].define(version: 2025_12_04_100550) do
     t.string "duration"
     t.integer "duration_seconds"
     t.string "code"
+    t.datetime "start_time"
+    t.datetime "pause_time"
+    t.boolean "show_stopwatch"
     t.index ["slug"], name: "index_contests_on_slug", unique: true
     t.index ["user_id"], name: "index_contests_on_user_id"
   end