Reorder the way input is handled for replays

Fixes https://github.com/ppy/osu/issues/1625 .

osu.Game/Rulesets/Objects/Drawables/DrawableHitObject.cs

@@ -71,6 +71,8 @@ namespace osu.Game.Rulesets.Objects.Drawables
         public override bool HandleKeyboardInput => Interactive;
         public override bool HandleMouseInput => Interactive;
 
+        public override bool MaskingAffectsInput => false;
+
         public override bool RemoveWhenNotAlive => false;
         public override bool RemoveCompletedTransforms => false;
         protected override bool RequiresChildrenUpdate => true;

osu.Game/Rulesets/UI/RulesetInputManager.cs

@@ -136,9 +136,20 @@ namespace osu.Game.Rulesets.UI
             int loops = 0;
 
             while (validState && requireMoreUpdateLoops && loops++ < max_catch_up_updates_per_frame)
+            {
                 if (!base.UpdateSubTree())
                     return false;
 
+                if (isAttached)
+                {
+                    // When handling replay input, we need to consider the possibility of fast-forwarding, which may cause the clock to be updated
+                    // to a point very far into the future, then playing a frame at that time. In such a case, lifetime MUST be updated before
+                    // input is handled. This is why base.Update is not called from the derived Update when handling replay input, and is instead
+                    // called manually at the correct time here.
+                    base.Update();
+                }
+            }
+
             return true;
         }
 
@@ -173,9 +184,12 @@ namespace osu.Game.Rulesets.UI
             // to ensure that the its time is valid for our children before input is processed
             Clock.ProcessFrame();
 
-            // Process input
+            if (!isAttached)
+            {
+                // For non-replay input handling, this provides equivalent input ordering as if Update was not overridden
                 base.Update();
             }
+        }
 
         #endregion