Combine the WM_CHAR with WM_KEY* for key event flow.

ui/base/ime/remote_input_method_win.cc

Index: ui/base/ime/remote_input_method_win.cc
diff --git a/ui/base/ime/remote_input_method_win.cc b/ui/base/ime/remote_input_method_win.cc
index 1a589bb0668f6b235b24f755093c2812abd512fb..65838ee17490a0b0fbc8e863d552b9deb858e6af 100644
--- a/ui/base/ime/remote_input_method_win.cc
+++ b/ui/base/ime/remote_input_method_win.cc
@@ -200,8 +200,17 @@ class RemoteInputMethodWin : public InputMethod,
       event->StopPropagation();
       return;
     }
-    if (delegate_)
+    if (delegate_) {
       ignore_result(delegate_->DispatchKeyEventPostIME(event));
+      if (text_input_client_ && pending_char_events_.size()) {
+        for (size_t i = 0; i < pending_char_events_.size(); ++i) {
+          text_input_client_->InsertChar(
+              pending_char_events_[i], event->flags());
+        }
+        event->StopPropagation();
+      }
+    }
+    pending_char_events_.clear();
   }
 
   void OnTextInputTypeChanged(const TextInputClient* client) override {
@@ -326,6 +335,10 @@ class RemoteInputMethodWin : public InputMethod,
     text_input_client_->InsertText(text);
   }
 
+  void OnCharForNextKeyEvent(base::char16 ch) override {
+    pending_char_events_.push_back(ch);
+  }
+
   bool CanSendRemoteNotification(
       const TextInputClient* text_input_client) const {
     return text_input_client_ &&
@@ -344,6 +357,7 @@ class RemoteInputMethodWin : public InputMethod,
   bool is_candidate_popup_open_;
   bool is_ime_;
   LANGID langid_;
+  std::vector<base::char16> pending_char_events_;
 
   DISALLOW_COPY_AND_ASSIGN(RemoteInputMethodWin);
 };