Batten-Burger

Normal sudoku rules apply. A digit in a minimum cell is strictly smaller than any digit in an orthogonally adjacent cell. Clues outside the grid are Sandwich clues and indicate the sum of all digits between 1 and 9 in the respective row or column. Battenburg: Whenever 2 odd and 2 even digits form a 2x2 checkerboard pattern, a Battenburg marking is given. If there is no such marking, the above pattern is not allowed.