#!/bin/bash

length=0
n_array=()
lines_number=0
while read line; do
  if [ $length -eq 0 ]; then
    length=${#line}
    n_array=($(for j in $(seq $length); do echo 0; done))
  fi
  for i in $(seq $length); do
    curr_bit=${line:$((i-1)):1}
    n_array[$((i-1))]=$((n_array[i-1]+curr_bit))
  done
  lines_number=$((lines_number+1))
done

gamma_rate=''
epsilon_rate=''
for i in $(seq $length); do
  if [ ${n_array[$((i-1))]} -ge $((lines_number/2)) ]; then
    gamma_rate=${gamma_rate}1
    epsilon_rate=${epsilon_rate}0
  else
    gamma_rate=${gamma_rate}0
    epsilon_rate=${epsilon_rate}1
  fi
done
echo "ibase=2;obase=A;$gamma_rate*$epsilon_rate"|bc