Define an even-digit upno to be a positive integer of $2$ or more digits where the digits are strictly increasing moving left to right, and all digits are even. Similarly, define an odd-digit downno to be a positive integer of $2$ or more digits where the digits are strictly decreasing moving left to right, and all digits are odd. Let $E_U$ equal the total number of even-digit upnos and let $O_D$ equal the total number of odd-digit downnos. What is $|E_U-O_D|$?