3. Is it possible to assign the same digits to the same letters and different digits to different letters in the expression

$$
T R I \cdot T R I=D E V E T
$$

so that a correct equality is obtained (and at the same time $T, D \neq 0$)?
3. Since $400 \cdot 400 = 160000 > 99999$, we conclude $T < 4$. Since $T$ is the last digit of a perfect square ($T P I^2$ ends with $T$), it follows that $T \in \{0,1,4,5,6,9\}$. Given the constraints $T < 4$ and $T \neq 0$, the only possibility left is $T = 1$. From this, we get $I \in \{1,9\}$, but since $I$ and $T$ are different digits, we have $I = 9$. Now we check all possibilities directly: $109^2 = 11881$, $129^2 = 16641$, $139^2 = 19321$, $149^2 = 22201$, $159^2 = 25281$, $169^2 = 28561$, $179^2 = 32041$, and $189^2 = 35721$. Since none of these cases yield a result that matches the pattern NINE, it follows that it is not possible to satisfy the requirement in the problem.