$\backslash$Large$\{\backslash$text$\{$True or false: The logic of the following program is correct:$\}\}.$ The program is expected to print the message that is appropriate to its corresponding boolean condition.

$1.$ #include

$2.$ int main$()\{$

$3.$ int x $=3,$ y $=4$;

$4.$ if$($ x $<5$ && y $<$ x $)\{$

$5.$ printf$("$ x is less than $5,$ but greater than y$")$;

$6.\}$

$7.$ else if$($ x $<5)\{$

$8.$ printf$("$x is less than $5,$ and not greater than y$")$;

$9.\}$

$10.$ else if$($ y $<$ x $)\{$

$11.$ printf$("$x is not less than $5$ and is greater than y$")$;

$12.\}$

$13.$ else $\{$

$14.$ printf$("$x is not less than $5$ and not greater than y$")$;

$15.\}$

$16.\}$