\[ \large \begin{array}{ccccc} & \color{red}{A} & \color{blue}{B} &\color{#FFBF00}{C} &\color{green}{D}\\ - & \color{green}{D} & \color{#FFBF00}{C} & \color{blue}{B} & \color{red}{A} \\ \hline & \color{blue}{B} & \color{green}{D} & \color{red}{A} & \color{#FFBF00}{C} \end {array} \]

The above shows a cryptarithm such that each letter represents a **distinct** digit.

Calculate the 4-digit integer, \(\overline{BDAC}\).

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