Algorithm for a “DNF” (if I don’t have a finishing time L)

OK, so as long as I finish and have a finishing time, then the guessing game works. But what if I have a mishap’ along the way and don’t cross the line? My answer is to randomly create a time for scoring purposes.  The algorithm for the "scoring time" if I do not finish will work like as described below, and the closest guess to this time would then be the winner.

First calculate the hour (H:mm:ss)

Take the number of guesses. If it is an odd number, the hour is "4". If it is even, the hour is "3".

Then calculate the minutes (H:mm:ss)

Take the digit in the "tens" place of the $$ benefit amount that is going to the Alzheimer's Association, multiply that by 6, and use that for the minute.

Then calculate the seconds (H:mm:ss)

Take the digit in the "ones" place of the $$ amount that is the winning prize, multiply that by 6, and use that for the seconds.

Then assemble the "scoring" time from the previous steps

Put the hour, minutes, and seconds from the previous steps together.  If the time is greater than or equal to 3:25:00,and less than or equal to 4:25:00, use that time as the scoring time.

If the result is less than 3:25:00, then add 25 to the minutes to come up with a scoring time (e.g. 3:18:24 becomes 3:43:24).

If the result is greater than 4:25:00, then subtract 29 minutes to come up with a scoring time (e.g. 4:39:18 becomes 4:10:18).

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Example: 53 guesses, with a benefit of $185 and a prize of $80 and would play out this way...

You would come up with 4:48:00, but since it is out of range you would subtract 29 minutes, which yields 4:19:00 ... so the closest guess to 4:19:00 would be the winner.