#!/usr/bin/perl use strict; use warnings; my $num = $ARGV[0] || 47; my $length = length $num; my $base = 10 ** ($length - 1); my $base_ave = 2 ** ($length - 1); my $next = 10 ** $length; my $next_ave = 2 ** $length; my $ave_diff = $next_ave - $base_ave; my $tot_diff = $next - $base; my $distance = $num - $base; my $guess = $base_ave + ($distance * $ave_diff) / $tot_diff; print "$guess\n";