I guess you are way off the map! 2 trillion keys? The actual number is 5 to 6 public keys in order to form 2 triangles and solve the key, more than that will confuse you, as it has confused me with a few million keys, I see hexadecimal characters wherever I look, after working on them for hours. Lol.
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LOL, these hexadecimals do often come into my dreams and dancing around as well.
I sure didn't got your point of TRIANGLES. What I was referring to trillion thing is this.. Suppose we are searching the private key which is within bit range of 16:32. I made a list of initial 6 public keys like I have a file in which 1-6 public keys are stored. Now I subtract 16 from the puzzle public key. Suppose the hidden private key is 21. So when I subtract 16 from it the resulting key at the same position but in lower bit size. Now 21-16=5 and now I check whether this public key is in my file in which I saved initial public keys. So this is simple thing I am referring as 2 trillions... Can you explain your TRIANGLE THING???