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I have data in the following form , where x is an integer and r is 0 or 1.

I know that

  • if $x < C$, then $r = 1$,
  • if $x\geq C$, then $r= 0$.

How can I automatically estimate the value of $C$? Can I have any guarantees on the convergence?

There must be an easy way to solve this, I just cannot find out!

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