I have created a community. Cloned a Profile with license "Customer Community Plus". When i login into as an customer I see all the Accounts.

I want to change this. User should see/edit only related account and contact.

Account are created by admin hence owner of record is admin.

I tried to make Account as private in "Sharing Settings" and community user was able to see only related record but was not able to edit the record. 

How should i implement this?