Korea Final 2000 - Problem 1: Important type of problem to get over the medium olympiad level

TIMESTAMPS: 00:00 Intro 30 - 60 - 120 Take 5 00:20 Understanding the problem 01:00 Playing around with p=2 01:09 Playing around with p=3 01:20 Playing around with p=5 01:39 Playing aounrd with p=7 02:00 What is special about the equation? 02:30 How we deal with the squares 03:30 Trying to make x, y, z be small 04:20 Trying a simpler idea 06:48 The finish 10:11 Reflecting on the problem 11:10 Thanks for problem solving :)