Add a method named problem$1$ that keeps asking the user for words and joins them together. Each word should start with an uppercase letter and the rest of letters in the word should be lowercase. All the words should be separated by a space. When the user decides to stop, return the joined string. $(10$ pts$)$

Add a method named problem$2$ that asks the user for a string. Count and return the frequency of letter A$.$ The letters are not case$-$sensitive$,$ so for example, you should treat $$A$$ and $$a$$ as the same letter. $(10$ pts$)$

Add a method named problem$3$ that accepts a string and reverses it by manipulating indices. $(10$ pts$)$

Add a method named problem$4$ to remove the $10-$th index character from the given string and return

the result. If $10$ is an invalid index, return an error message. $(10$ pts$)$

Add a method named problem$5$ that accepts an adjective, forms an adverb from the adjective, and returns the adverb.

$$In most cases, an adverb is formed by adding $-$ly to an adjective. For example, quick $$ quickly

$$If the adjective ends in $-$y$,$ replace the y with i and add $-$ly$.$ For example, easy $$ easily

$$ Iftheadjectiveendsin$-$able,$-$ible,or$-$le$,$replacethe$-$ewith$-$y$.$Forexample,gentle$$gently $$ Iftheadjectiveendsin$-$ic$,$add$-$ally.Forexample,basic$$basically.$(10$pts$)$