Angular HashLocationStrategy removes last element from path after loading app

Question

I'm trying to get Angular's HashLocationStrategy working together with generic base href (to deploy app under any path - pretty much solutions suggested here)

My @NgModule:

imports: [
  RouterModule.forRoot([
    {
      path: 'history',
      component: HistoryComponent
    },
    {
      path: '',
      component: IndexComponent
    },
  ]),
  ...
],
providers: [
  {provide: LocationStrategy, useClass: HashLocationStrategy},
  ....
]

Together with <base href='.'> I'm able to deploy this app to any path (my app is served from CDN), but when last element of the path does not end with trailing slash, Angular is removing it. For example when entering url X it's changed to Y by Angular:

X -> Y
http://example.com/my/app/ -> http://example.com/my/app/#/
http://example.com/my/app -> http://example.com/my/#/

What should I change in my configuration/base href to get second example to work (desired effect: when entering http://example.com/my/app I want Angular to change nothing in url or to change it to http://example.com/my/app#/

(I'm using Angular 4.3 in this app)