1. Let a1,a2,a3 be real numbers such that |a1−a2|+|a2−a3|+|a3−a1|=100
What is the largest possible value of |a1−a2|?
2. Let a1,a2,a3,…,a10 be real numbers such that |a1−a2|+|a2−a3|+|a3−a4|+|a4−a5|+⋯+|a9−a10|+|a10−a1|=500.
What is the largest possible value of |a1−a6|?