We wish to study vitamin \(B_{12}\). We plan on synthesizing complex **X**, that can help us understand its reactions with various substrates.

Synthesizing *Y* : A three step process

- We start with 2-butyne and ozone to give us compound
*A* *A*reacts with Zinc and acetic acid to give*B**B*reacts with hydroxyl-amine and catalytic amount of \(H^{+}\)

Adding pyridine and ligand *Y* to a solution of \(CoCl_{2}\) gives us compound **X**.

Let \(\alpha\) denote the number of rings present in *A* and \(\beta\) denote the number of unpaired electrons in compound **X**.

Find the value of \(\alpha + \beta\)

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