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Can you arrange $5$ different digits (from $0$ to $9$) in the cross so that

  1. the total of the $4$ outside numbers is equal to the middle number
  2. the top $2$ numbers multiplied together are also equal to the middle number
  3. the sum of the $3$ numbers forming a diagonal is equal to the other $3$ numbers forming the other diagonal.

Diagonal cross consisting of 5 squares.