What does "way" mean in "no way"?

Google dictionary shows 18 meanings for way. Among which, we have:

1. A method, style, or manner of doing something

2. A person's characteristic or habitual manner of behavior or expression

3. The typical manner in which something happens or in which someone or something behaves

4. A specified direction

5. Used with a verb and adverbial phrase to intensify the force of an action or to denote movement or progress

6. A particular aspect of something; a respect

7. A specified condition or state

Which of these is the meaning for the "way" in "no way", the informal term which means absolutely no?

Solution 1:

Any of those, since it's short for in no way.

The phrase is simply an emphatic Negative.

• No way am I going there. (Note the subject-verb inversion with adverb fronting)

If you won't go there in any way, you won't go there at all.

• A: He'll be mad at you.
• B: No way.

A thinks that he'll be mad at B, but B denies that; if there is no way in which he'll be mad at B, then he won't be mad at B at all.

Etc.

Solution 2:

The phrase is somewhat idiomatic, so doesn't carry exactly any of the meanings above. Meaning 1 is closest, but closest would be "way" in the sense of a route towards a goal. "No way" is simply a contraction of "there is no way that could be possible" i.e. the speaker is (hyperbolically) suggesting that they simply don't believe the previous speaker's statement is possible.