A multithreaded program $P$ executes with $x$ number of threads and uses $y$ number of locks for ensuring mutual exclusion while operating on shared memory locations. All locks in the program are *non-reentrant*, i.e., if a thread holds a lock $l$, then it cannot re-acquire lock $l$ without releasing it. If a thread is unable to acquire a lock, it blocks until the lock becomes available. The *minimum* value of $x$ and the *minimum* value of $y$ together for which execution of $P$ can result in a deadlock are:

A non-reentrant (or non-recursive) lock cannot be acquired again by the thread currently holding it without releasing it first.

Consider a single thread ($x = 1$) and a single lock ($y = 1$):

1. Thread $T_1$ acquires lock $L_1$.

2. While still holding $L_1$, thread $T_1$ attempts to acquire $L_1$ again.

3. Since the lock is non-reentrant and currently held, $T_1$ blocks waiting for $L_1$ to be released.

4. Since $T_1$ is blocked, it can never execute the statement to release $L_1$.

This creates a self-deadlock scenario. Therefore, the minimum number of threads and locks that can result in deadlock are $x = 1$ and $y = 1$.

Hence, the correct option is (D).