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In an attempt to further protect his secret chicken recipe, Colonel Sanders has locked it away in a safe with a 10-digit password. Unable to resist his crispy fried chicken, you'd like to crack the code. Try your luck using the following information:

All digits from 0 to 9 are used exactly once.
No digit is the same as the position which it occupies in the sequence.
The sum of the 5th and 10th digits is a square number other than 9.
The sum of the 9th and 10th digits is a cube.
The 2nd digit is an even number.
Zero is in the 3rd position.
The sum of the 4th, 6th and 8th digits is a single digit number.
The sum of the 2nd and 5th digits is a triangle number.
Number 8 is 2 spaces away from the number 9 (one in between).
The number 3 is next to the 9 but not the zero.

4 6 0 2 9 3 8 5 1 7

Oh, wait, sorry.
That should be 5 6 0 2 9 3 8 4 1 7