Need help sending dialog to remote computer and saving results

Question

As the title states, what I want to do is send a dialog box to all remote computers listed in the array $compnames where I can receive a yes or no and either save this as a file or array to pass back to my local computer to shutdown the ones where either
a yes or no answer is received. I have the following code segment and I am missing the no answer received part and I am not sure how to receive the responses form each computer.
Invoke-Command -ComputerName $element -scriptblock {
[system.reflection.assembly]::LoadWithPartialName("system.windows.forms")
$useOutput = [System.Windows.Forms.MessageBox]::Show("The Lab is being shut down. Press YES to abort.", "WARNING", 'YesNo', 'Exclamation')
if ($useOutput -eq [Windows.Forms.DialogResult]::Yes)
$sendBack = 0
Write-Output $sendBack
else
$sendBack = 1
Write-Output $sendBack
<# TODO: 1) write computer name and whether a user clicked yes to abort to a csv file (save just no's for logs)
1.1) maybe add computer name to
2) immediately shut down any computer where user allows shutdown
3) after 30 seconds, add remaining computers with no action to csv file to shut down
4) Open messagebox popup on host computer to ask if want to shutdown remaining computers
5) Shut down remaining computers
#>
if ($sendBack -eq 1)
#if the computer is ready to turn off
#shut it down
else
#add to array or file to be shut down later
Any guidance or advice would be great! 
-------Edit 1-----------
In accordance with what this first two commenters have posted. I am thinking of a quirky solution.
What if I have a script on the remote computer that I call with the Invoke-Command that opens a message box and then depending on the response uses the msg.exe cmdlet to send either a 1 or a 0 back. The host computer then takes these answers and creates
two arrays, one for yeses and one for nos. I guess the only issue with this would be is receiving the messages in an orderly manner over the course of 30seconds and having the messages be 'silent' so the script picks them up but there is no explicit message
pop up on my computer.
I have found the following from the invoke-command section of ss64.com:
"Run the Test.ps1 script on the Server64 computer. The script is located on the local computer. The script runs on the remote computer and the results are returned to the local computer:PS C:\> invoke-command -filepath c:\scripts\test.ps1 -computerName
Server64"
So could I not send a message box through this and have the result returned to me?

Answer 1

Actually, it might be doable (albeit not all that ... cleanly):
Create a task on the remote computer that will run under any currently logged in user which displays a messagebox that returns values and writes the result to a file. (Which will of course require a folder where all users have write permissions to to write
the files in)
Trigger the task
Check for result files
Cheers,
Fred
There's no place like 127.0.0.1