Please write in python. We will use the lichess API to retrieve some information about the current state of chess in the world. In order to answer below questions, make precise and

economical requests. You may use:

import requests

import json

import pandas

from datetime import datetime

$($a$)$ What is the real name of the player muisback?

$($b$,$ i$)$ Get the username of the last player that played a rapid game against user athena$-$pallada in $2023.($ii$)$ In all games against this user, what is the win$-$

to$-$loss ratio of athena$-$pallada?

$($c$)$ Consider the top ten players in the bullet leaderboard. $($i$)$ Which player has the most bullet games overall? $($ii$)$ Which player has played the most bullet

games relative to account age in days? $($iii$)$ Which player has the worst win$-$to$-$loss ratio over all formats?

$($d$)$ Get all games from user manwithavan. Group them by opening and print the ten most popular.