Normal sudoku rules apply. Divide the grid into four distinct regions. Each region consists of orthogonally connected cells and touches each of the other three regions orthogonally too (ie shares at least one edge). No 2×2 block may be entirely within one region. At least two regions are the same size. Draw two distinct orthogonally connected, non-branching paths, each joining a pair of hourglasses determined by the solver. The paths share exactly one cell, marked by the red pin, and otherwise do not overlap. Along one path, adjacent digits have opposite parity, along the other, adjacent digits are consecutive. A digit in an hourglass equals the number of times its path crosses the border of the region containing that hourglass. A digit N in a purple Sensor means the digit N appears exactly N times within that sensor’s region. Neither path may pass through a blue dot. Digits in cells joined by a green dot differ by at least 5. Digits in cells joined by a white dot are consecutive. If two digits are joined by a black dot one is TRIPLE the other. Digits in a cage sum to the value in its top-left corner and do not repeat within a cage. A digit in a cell with arrows equals the total number of cells containing any part of either path in all indicated directions, including the clue cell itself. Numbers outside the grid on a diagonal indicate the sum of the first X cells along that diagonal. The value of X is not 6 and must be determined by the solver. A number N outside a row/column means the first N cells from that side are in the same region, and the (N+1)th cell is in a different region. Note: You may finish one part before the others (digits, paths, and regions), but the puzzle is only solved once all three parts are completed.
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