find this conduct of arranging by segment in numerous office programming for overseeing bookkeeping pages. Petya works in one, and he has a table AA opened at this moment. He needs to perform zero of more sortings by
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You can find this conduct of arranging by segment in numerous office
Decide whether it is feasible to do as such, and if indeed, find a grouping of sections to sort by. Note that you don't have to limit the quantity of sortings.
Input
The principal line contains two integers nn and mm (1≤n,m≤15001≤n,m≤1500) — the measures of the tables.
Each of the following nn lines contains mm integers
Each of the following nn lines contains mm integers bi,jbi,j (1≤bi,j≤n1≤bi,j≤n), indicating the components of the table BB.
Output
In case it is preposterous to expect to change AA into BB, print −1−1.
In any case, first print an integer kk (0≤k≤50000≤k≤5000) — the quantity of sortings in your answer.
Then, at that point, print kk integers c1,… ,ckc1,… ,ck (1≤ci≤m1≤ci≤m) — the sections, by which Petya needs to play out an arranging.
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