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. |