Store the "browser autorestarted, last session must be restored" information in a preference.

chrome/browser/background/background_mode_manager.cc

 // Copyright (c) 2011 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include <string>
 
 #include "base/base_paths.h"
 #include "base/bind.h"
 #include "base/command_line.h"
 #include "base/logging.h"
@@ skipping 378 matching lines @@
   BackgroundModeData* bmd = background_mode_data_.begin()->second.get();
   switch (command_id) {
     case IDC_ABOUT:
       bmd->GetBrowserWindow()->OpenAboutChromeDialog();
       break;
     case IDC_TASK_MANAGER:
       bmd->GetBrowserWindow()->OpenTaskManager(true);
       break;
     case IDC_EXIT:
       UserMetrics::RecordAction(UserMetricsAction("Exit"));
-      BrowserList::AttemptExit();
+      BrowserList::AttemptExit(false);
       break;
     case IDC_STATUS_TRAY_KEEP_CHROME_RUNNING_IN_BACKGROUND: {
       // Background mode must already be enabled (as otherwise this menu would
       // not be visible).
       DCHECK(IsBackgroundModePrefEnabled());
       DCHECK(BrowserList::WillKeepAlive());
 
       // Set the background mode pref to "disabled" - the resulting notification
       // will result in a call to DisableBackgroundMode().
       PrefService* service = g_browser_process->local_state();
@@ skipping 240 matching lines @@
       command_line->HasSwitch(switches::kDisableExtensions);
   return background_mode_disabled;
 #endif
 }
 
 bool BackgroundModeManager::IsBackgroundModePrefEnabled() const {
   PrefService* service = g_browser_process->local_state();
   DCHECK(service);
   return service->GetBoolean(prefs::kBackgroundModeEnabled);
 }