Find the balanced ternary expansion of an integer from its decimal expansion (see Exercise...

Find the balanced ternary expansion of an integer from its decimal expansion (see Exercise).

Exercise

Show that every nonzero integer can be uniquely represented in the form

where ej = −1, 0, or 1 for j = 0, 1, 2, … , k and ek ≠ 0. This expansion is called a balanced ternary expansion.