Wow! Large Number!

Logic Level 4

ABCD×DCBA5CCBAAD\large\begin{array}{llllllll}&&&&A&B&C&D\\\times&&&&D&C&B&A\\\hline&5&C&C&B&A&A&D\end{array}

What is the value of DCBAABCD\overline{DCBA}-\overline{ABCD}?

Clarification: A,B,CA,B,C and DD are distinct single digits with AA and DD non-zero.

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