inf=1000000
ans=$inf
for a in $(tail -1); do
    c=$(bc <<< "obase=2;$a" | sed 's/^.*1\(0*\)$/\1/' | tr -d '\n' | wc -c)
    ans=$(( ans < c ? ans : c ))  # min(ans, c)
done
echo $ans
#
# if [ $ans -eq $inf ]; then
#     echo 0
# else
#     printf "%d\n" $ans
# fi
