Why is my else statment running the code twice

My code:

  <?php
    $name = $_POST["name"];
//establishing connection through PDO
    require("database.php");

    try{
     //querying the firstname data from the people table    
        $sql = $conn->query("SELECT firstname FROM people");

    }catch (Exception $e) {
            echo "Data could not be retrieved from the database.";
            exit;
        }

//looping through the array of firstname and echoing it out if it equals to the user input of name. else just echo out sorry no match 
    while($theRow = $sql->fetch(PDO::FETCH_ASSOC)){
    if(strtolower( $name ) == strtolower( $theRow["firstname"] ) && isset($_POST['name']) ){
    echo $theRow['firstname'] . "<br />";
    }else {
        echo 'Sorry no match';
        exit;
    }
    }
    ?>

the require database.php is just establishing connection to my database using PDO.

I just have 2 rows in my database with

'firstname' of

• Jack


• Bob

and if in my input field anyone types one of those 2 names php will echo out that name from the people table in the database. Very simple but the only problem I am having is on my else statement I wanted it to echo out Sorry no match if the input field of name is not equal to any name in the database. BUT instead it echo's out Sorry no match once for each name. I understand that I am looping through the array of database name but I only want it to echo Sorry no match once if the name input is not equal to a "firstname" in the database.

EXTRA NOTE:

I have also tried using a foreach loop instead of the while looping with the fetchAll method instead of just fetch but no luck there. Basically gave me the same results.