Write a function named check$\_$balanced that checks a character array $($A$)$ which consists of ONLY letters, spaces or parentheses $($only $"(",")"$ type of parantheses$)$ and returns $1($output variable $p)$ if it is balanced, $0$ otherwise. Thus, every opening parenthesis, $"(",$ in the array must correspond to a closing parenthesis symbol, $")".$

For example:

Case $1$: the character array $x=\text{'}($hello world$)\text{'}$ is balanced and should return $1.$

Case $2$:the character array $x=\text{'}(($hello world$)\text{'}$ is NOT balanced $($there are two opening parentheses but one closing parenthesis$)$ and should return $0.$

Case $3$:the character array $x=\text{'}($hello world$))\text{'}$ is NOT balanced $($there are one opening parentheses but two closing parentheses$)$ and should return $0.$

Case $4$:the character array $x=\text{'})$hello world$(\text{'}$ is NOT balanced