FIITJEE A.P Problem

Algebra Level 2

Given $p$ arithmetic progressions, each of which consisting of $n$ terms, if their first terms are $1,2,3,\ldots,p-1,p$ and common differences are $1,3,5,7,\ldots,2p-3,2p-1,$ respectively, what is the sum of all the terms of all the arithmetic progressions?