Operation Z

Number Theory Level 3

The numbers 1,2,3,…,201,2,3, \ldots , 20 are written on a blackboard.

We define an operation ZZ as: Erasing two numbers aa and bb and writing new number a+b−1a+b-1 on a blackboard.

What number can be there on the blackboard after 1919 operations?

Akash Shah by Akash Shah
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