**a,b,c**(none over 2000) evaluate the triplet of its medians

**m**,

_{a }**m**,

_{b }**m**.

_{c }Let those three become sides of a new triangle i.e.

**(a,b,c) =(m**,

_{a }**m**,

_{b }**m**.

_{c })<end>

It is up to you to find a triplet **(a,b,c)** such that the above procedure can be executed a maximal number of times, creating sets of “medians“ with **integer values only**.

The answer should include:** (a,b,c)** and all interim sets of medians.

Rem: Can be solved analytically.