Hey, I'm not greedy, I'll share. ;o)
Either salvation is pure grace, or it is not.
By "pure grace" I mean that it is 100% God's action.
And if it is 100% God's action, then it is 0% man's action.
(Aside - It is hard to type when you have a cat sitting on the desk rubbing its head on your hand.)
"Accepting the gift of salvation" is an act. It may be man's only action involved in his salvation, but it is still an act - a man chooses to accept it of his own free will.
If man accepts the gift of salvation as a free will act, then salvation is not pure grace.
If we hold that salvation is pure grace, then there are two logical possibilities: either God chooses some to be saved and some to be damned, or God chooses all to be saved.
This is good, and it is acceptable in the sight of God our Savior,
who desires all men to be saved and to come to the knowledge of the truth. (1 Timothy 2:3-4)
So God does not choose that any person be damned.
The only possible conclusions are that either A) all are saved or B) salvation is not by pure grace.