Write a PLC Program for the following task :

A certain process is to count the number of true-to-false transitions on input I:0.0/0 for a 10 second period. Counting is to occur if input word I:0.1 has a value less than 10000 or greater than 20000. The 10 second counting period is to begin 15 seconds after the process starts. I:0.0/1 is a process start input and input I:0.0/2 is a process stop input.

The count display is to be output to word O:0.0 only at the end of the count period. All outputs are to be de-energized 5 seconds after the count period. The process should repeat only after another distinct press of the process start input. Write an efficient ladder logic program for this process.