Given an array $$$A$$$ of $$$N$$$ integers . Find the maximum of value of $$$i\ -\ j$$$ such that : $$$\newline$$$ $$$1)\ j\ <\ i \newline$$$ $$$2)\ A[j]\ <\ A[i] \newline$$$

Note : i and j are 0-based indices

Constraints : $$$ N \le 10^6 , A[i]\ \le\ 10^9\ for\ 0\ \le i\ \le\ N-1\newline $$$

Ex :

• $$$A\ =\ [1,2,3,4,5]$$$
  $$$j\ =\ 0\ ,\ i\ =\ 4$$$ gives maximum difference of 4 satisfying the given conditions




• $$$A\ =\ [8,4,8,7,6,6,3]$$$
  $$$j\ =\ 1\ ,\ i\ =\ 5$$$ gives maximum difference of 4 satisfying the given conditions