Get sub site title that you have access to with REST API

I followed codes sample hereenter link description here with security trim to get a list of sub site titles that user have access. I got "access denied. You do not have permission to perform or access this resource. Is there a solution for this? The users have readonly at the root site and contribute at subside.

Below is the codes: http://site/_api/web/webs/?$select=title,effectivebasepermissions&$filter=effectivebasepermissions/high%20gt%2032