+10 1. Let \(a_1,a_2,a_3\) be real numbers such that \(|a_1 - a_2| + |a_2 - a_3| + |a_3 - a_1| = 100\)
What is the largest possible value of \(|a_1 - a_2|?\)
2. Let \(a_1,a_2,a_3,\dots,a_{10}\) be real numbers such that \(|a_1 - a_2| + |a_2 - a_3| + |a_3 - a_4| + |a_4 - a_5| + \dots + |a_9 - a_{10}| + |a_{10} - a_1| = 500.\)
What is the largest possible value of \(|a_1 - a_6|?\)
