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aaa, bbb, ccc and ddd are integers such that 0<a,b,c,d<9990<a,b,c,d<9990<a,b,c,d<999 and ab=cdab=cdab=cd.
How many ordered sets of integers (a,b,c,d)(a,b,c,d)(a,b,c,d) satisfy
a+b+c+d=pa+b+c+d=pa+b+c+d=p
where ppp is a prime number?
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