JEE Novice - (5)

{abcd=8!ab+a+b+1=323bc+b+c+1=399\Large \begin{cases} abcd & = & 8! \\ ab+a+b+1 & = & 323 \\ bc+b+c+1 & = & 399 \end{cases}

If four distinct positive integers a,b,c,da,b,c,d satisfy the system above then find the value of dd.


This question is a part of JEE Novices.
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