#!/bin/bash

declare -A orbits
declare -A cost

while IFS=\) read -r a b; do
    orbits[$b]=$a
done

sum=0
o=${orbits[YOU]}
while [[ $o != COM ]]; do
    cost[$o]=$((sum++))
    o=${orbits[$o]}
done
cost[COM]=$sum

sum2=0
o=${orbits[SAN]}
while [[ $o != COM ]]; do
    if [[ ${cost[$o]} ]]; then
	echo "$((cost[$o] + sum2))"
	exit
    fi
    ((sum2++))
    o=${orbits[$o]}
done