Public Key Authentication not work on Windows 10 Professional

I finally solved the problem by commenting out the lines:

Match Group administrators
       AuthorizedKeysFile __PROGRAMDATA__/ssh/administrators_authorized_keys

Then I placed the authorized keys into the normal file ~\.ssh\authorized_keys like any other time I've used ssh. I saw this didn't work for a lot of people when I did my initial research and had discounted it.

Use this sequence of commands in PowerShell to correct permission of administrators_authorized_keys

$acl = Get-Acl C:\ProgramData\ssh\administrators_authorized_keys
$acl.SetAccessRuleProtection($true, $false)
$administratorsRule = New-Object system.security.accesscontrol.filesystemaccessrule("Administrators","FullControl","Allow")
$systemRule = New-Object system.security.accesscontrol.filesystemaccessrule("SYSTEM","FullControl","Allow")
$acl.SetAccessRule($administratorsRule)
$acl.SetAccessRule($systemRule)
$acl | Set-Acl