GATE DA 2026 Q9: Digit puzzle: squares of consecutive two-digit numbers

$P, Q, R, S, X$, and $Y$ are distinct single-digit whole numbers taking values from 0 to 9.

$PQ$ is a two-digit number with $Q$ being in the units place and $P$ in the tens place. Similarly, $RS$ is a two-digit number.

It is known that $PQ$ and $RS$ are consecutive numbers and $(PQ)^2 + (RS)^2 = XYP$, with $XYP$ being a three-digit number.

The value of $Y$ is __________