Use the clues below to place one digit in each box, forming a three-digit number in each column (reading down) and a three-digit number in each row (reading across from left to right).
Clues:
(1) Each digit from 1 to 9 will be used exactly once in the grid.
(2) The number A has a first digit that is one less than its second digit, and a second digit that is one less than its third digit.
(3) The number B has a first digit that is one more than its second digit, and a second digit that is one more than its third digit.
(4) C has a third digit that is equal to the sum of its first two digits.
(5) D is an even number.
(6) E is an odd number.
(7) F is equal to three times number A.
