$1\mathrm{.}4$ Hill Climbing $[12$ Points$]$

Your friend guards each of their files with a $2-$digit PIN code, but since they keep forgetting it$,$

they decide to implement an AI agent that uses hill climbing to find it automatically. Each PIN

comprises two integers, $1$ and $2,$ each of which can take values from $0$ to $9.$ They implement

the following agent $-$ the agent automatically submits a candidate PIN, and if it$$s correct, the

file unlocks. If the guessed PIN is incorrect, the agent receives a score that measures how good

the guess was. If the two digits entered are $$ and $,$ then the score returned is

$(,)=(|1|+|2|$