The Roads of Mathematica

The beautiful country of Mathematica has 1993 1993 cities , and from each one lead at least 93 93 roads. Each road links two cities. It is known that you can reach any city from any other city by traveling along these roads.

Over all possible layouts that satisfy the above condition, what is the minimum number of transfers one must make to guarantee to reach any city from any city?

Details and Assumptions:
No two roads connect the same two cities.


The answer is 62.

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