The value of $\int_{-\infty}^{+\infty} e^{-t} \delta (2t-2){d}t$, where $\delta (t)$ is the Dirac delta function, is
1. $\frac{1}{2e}$
2. $\frac{2}{e}$
3. $\frac{1}{e^{2}}$
4. $\frac{1}{2e^{2}}$