A taxicab drives in a loop around Manhattan.
- Normal 6x6 Sudoku rules apply.
- Draw a single one-cell-wide loop of orthogonally connected cells (= the taxicab's path in Manhattan). The loop may not touch itself, not even diagonally. The loop must enter each box of the grid. A cell with a digit X is part of the loop if and only if it is a taxicab distance (= minimum number of orthogonal steps) of X away from at least one other cell with an identical digit X.