<image>The electronic flea game board is as shown in  △ABC, where AB=8, AC=9, and BC=10. If the flea starts at point \( P_{0} \) on edge BC with \( BP_{0}=4 \), then for the first jump, the flea jumps to \( P_{1} \) on edge AC (the first landing point) such that \( CP_{1}=CP_{0} \). For the second jump, it jumps from \( P_{1} \) to \( P_{2} \) on edge AB (the second landing point) such that \( AP_{2}=AP_{1} \). For the third jump, it jumps back to edge BC at \( P_{3} \) such that \( BP_{3}=BP_{2} \). The flea continues to jump following this pattern. If the nth landing point is \( P_{n} \) (where n is a positive integer), what is the distance between \( P_{2007} \) and \( P_{2010} \)?