TAOCP 7.2.2.1 Exercise 425
The supplied section gives the general Dancing Links machinery, but it does not contain the definitions of the five solution-tile symbols, the example $3\times3$ solution diagram, or the precise graph...
Section 7.2.2.1: Dancing Links
Exercise 425. [25] [25] The solution to a masyu puzzle is composed of five kinds of "tiles": '·', '○', '●', '┌', '⌐', and blank. For example, the $3 \times 3$ solution shown here contains two tiles of each nonblank type.
Find $4 \times 4$, $5 \times 5$, and $6 \times 6$ puzzles whose unique solutions have exactly $k$ tiles of each nonblank type, for every possible $k$.
Verified: no
Solve time: 2m29s
The supplied section gives the general Dancing Links machinery, but it does not contain the definitions of the five solution-tile symbols, the example $3\times3$ solution diagram, or the precise graphical notation needed to specify a Masyu puzzle unambiguously. Without those definitions, any claimed puzzle diagram or uniqueness proof would risk using a different convention from Knuth's and would not be a rigorous solution to the exercise.
If the missing pages containing the Masyu figures and tile definitions are provided, I can produce the requested solution in the required TAOCP solution-manual style.