MathDB

Sum of absolute values

Source:

March 17, 2006

Problem Statement

Suppose that

|x_i| < 1

for

i = 1, 2, \dots, n

. Suppose further that

|x_1| + |x_2| + \dots + |x_n| = 19 + |x_1 + x_2 + \dots + x_n|.

What is the smallest possible value of

n