Bypass Pattern lock without minimum or no touch of mobile

I have android mobile with Android Lollipop 5.1.1 and I want to unlock the mobile without working on mobile. I had added pattern before screen damage.

Phone details:

1. Touch of mobile is damages and I can hardly use touch so working on cell is not possible. (I believe) I can type digit 3 on cell.


2. I tried to unlock device with ADM (http://trendblog.net/how-to-bypass-android-phone-lock-screen-pattern-pin-password/) but cell dont display option to fill pin to unlock


3. I have access to Google account and can install any apps.


4. Memory card can be inserted into mobile.


5. Internet is working on my cell.

I can do below thing with touch:

1. I can drag-down the top notification area of cell.


2. I can enable/disable hot-spot of cell.


3. I can receive calls on cell.

Please ask in comments if more details are required.

In summary, I want to unlock or bypass pattern of mobile by using
computer or USB or Google account. How it can be possible and I want
to do without factory reset?