Ghost Leg(Amidakuji), very hard
There are 11 vertical lines and 300 horizontal segments connecting two adjacent vertical lines scattered randomly along their length. nth person chooses nth line on the top and follow this line downwards. When a horizontal line is encountered, follow it to get to another vertical line and continue downwards. Repeat this procedure until reaching the end of the vertical line. What are the last 8 digits of probability of fifth person reaching the end of 8th vertical line?
You can use a computer to solve this.
The answer is 55533387.
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