Four Corners (UT, CO, AZ, NM)

Normal Sudoku rules apply. QUADRUPLES- Numbers in circles are in the four cells surrounding the circle, in any order. KROPKI PAIRS- Numbers with a white dot between them are consecutive. Numbers with a black dot between them are in a ratio of 2:1. Not all possible dots are given. KILLER CAGES- Numbers in cages sum to the number in the top left corner of the cage. MINIMUMS- Numbers in gray cells are less than all orthogonal neighbors. 180 DEGREE SYMMETRY- Except for the number 9, numbers that are in the same position as one another when the puzzle is rotated 180 degrees sum to 9. Example: If row 1 column 2 is a 5, then row 9 column 8 is a 4. If you have an unresolvable pattern at the end of the puzzle, be sure that all partners sum to 9.