Dates can be written as month/day/year using integers 1 through 12 for the month, followed by the day of the month, followed by the last two digits of the year. The date 12/3/45 is an increasing sequence of consecutive digits, while 1/22/34, 1/2/35, 1/2/03 are not. For how many days in one century is the date an increasing sequence of consecutive digits?