You are an active user of the online education platform $-$ XYZ$.$ You have done till now b submissions out of a have been correct. So$,$ the current fraction is a $/$ b$.$

But you like fraction x $/$ y very much, tell us the no$.$ of minimum submissions you need to do to reach your favorite fraction.

Note

$$ x and y will be co$-$primes

$$ If not possible then the answer will be $-1$

Sample Test Cases

$2$

$[[1,2,4,5],$

$[2,5,1,2]]$

Output: $[3,1]$

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