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Stupefy rennervate

How many ordered pairs of integers (a,b) (a,b) are there, such that 100a1000,100b1000 100 \leq a \leq 1000, 100 \leq b \leq 1000 and

ab=1221? \frac{a}{b} = \frac{12}{21}?

Details and Assumptions:

  • For an ordered pair of integers (a,b)(a,b), the order of the integers matter. The ordered pair (1,2)(1, 2) is different from the ordered pair (2,1)(2,1) .

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