Normal sudoku rules apply. Draw a directed path through the centres of some cells in the grid, starting in one blue circle and ending in the other. The path may move only orthogonally north (↑), orthogonally east (→), or diagonally southwest (↙), and it may not visit any cell more than once. The path must function both as an entropic line and as a region sum line. Every black dot in the grid must be crossed by the path. A white dot joins two cells - neither of these cells may be visited by the path. Along an Entropic line, every set of three consecutive cells along the line must contain one low digit (1,2,3), one middle digit (4,5,6), and one high digit (7,8,9). Along a Region sum line. the 3x3 box borders divide the line into segments; and all such segments must have the same sum. A white dot between two digits means they must be consecutive. If two digits are separated by a black dot one is double the other. One of the dots contains an inequality sign pointing to the smaller digit.