Use a direct include of strings headers in ui/, part 1.

ui/base/ime/fake_input_method.cc

 // Copyright (c) 2012 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 "ui/base/ime/fake_input_method.h"
 
 #include "base/logging.h"
-#include "base/string16.h"
+#include "base/strings/string16.h"
 #include "ui/base/events/event.h"
 #include "ui/base/events/event_constants.h"
 #include "ui/base/events/event_utils.h"
 #include "ui/base/glib/glib_integers.h"
 #include "ui/base/ime/input_method_delegate.h"
 #include "ui/base/ime/text_input_client.h"
 #include "ui/base/keycodes/keyboard_code_conversion.h"
 
 #if defined(USE_X11)
 #include <X11/X.h>
@@ skipping 123 matching lines @@
 
 void FakeInputMethod::AddObserver(InputMethodObserver* observer) {
   observers_.AddObserver(observer);
 }
 
 void FakeInputMethod::RemoveObserver(InputMethodObserver* observer) {
   observers_.RemoveObserver(observer);
 }
 
 }  // namespace ui