Link to SudokuPad: https://sudokupad.app/o4u3kz1764
Rules: Normal sudoku rules apply.
Centrally symmetric Yin-Yang: Shade some cells in the grid so that all shaded cells are orthogonally connected, all unshaded cells are orthogonally connected, and no 2×2 region is entirely shaded or entirely unshaded. The shading must also be centrally symmetric: cells mapped to each other by a 180∘ rotation about the center of the grid have the same shading.
Cages: Digits may not repeat within a cage. Each cage contains at least one shaded and one unshaded cell, and the sum of its unshaded digits equals the product of its shaded digits (a sum or product consisting of a single digit is simply that digit).