$.$ Let$$s assume one H call costs $2$ msec and the signer computed $360$ Lamport signatures until now. Further,

assume the signer only maintains the first private key for O$(1)$ compactness purpose, and the verifier also only

stores the final public key $($i$.$e$.,$ the one originally given to him for K $=1204).$

i$)$ What is the execution time of computing $361$th signature for the signer $($it starts from scratch$)?[5$ pt$]$

ii$)$ What is the execution time of verifying $361$th signature for the verifier? $[5$ pt$]$

iii$)$ What is the size of $361$th signature in terms of KB$?[5$ pt$]$