We have known that China did not carry out science before 2000.
Before 2000, basic science is not an issue in China. At that time, only a few scientists, even with the title of full professor, had no interests in doing researches.
Only fourteen years, China has become an important force to current science.
I have to say that estimating the height of Collatz tree is a nightmare to me.
It is so so so so so hard!
I have undergone months for this problem.
Seemly, it is almost to be cracked out.
Abstract: The relationship between P and NP is a key issue in computer science.
Though people have known that , whether P equals to NP is still uncertain.
This paper finds that the P and NP problem is strongly related to the 3x + 1 problem.
According to this finding, this paper demonstrated an example showing under two conjectures.
This paper firstly proposed a co-line problem based on the 3x+1 problem,
then proved that the co-line problem can not be solved by the deterministic algorithms
in polynomial time, and can be solved by a non-deterministic algorithm in polynomial time.
This example showed that P is the proper set of NP, i.e., , thus, ,
if two conjectures on the 3x + 1 problem hold.
Comment: This is a test for posting a spicy blog article. On one side, I think we have finished the proof. On the other side, I think everyone will think it a joke. So I will examine this paper one time again. Think it a joke, please.
I am very glad to have a site here.