Induction is rescuing us…
• Induction step
– assume for i, prove for i+1.
– consider two numbers: X, Y.  Say Xi is ith digit
of X (from the right)
• Xi+1 < Yi+1 then i+1th BinSort will put them in order
• Xi+1 > Yi+1 , same thing
• Xi+1 = Yi+1 , order depends on last i digits.  Induction
hypothesis says already sorted for these digits.
(Careful about ensuring that your BinSort preserves
order aka “stable”…)