The puzzle is presented as six 7x7 logic puzzles in different colors, along with a final black grid with letters of many colors. We can try to solve these puzzles with the given rules, but we will soon find that they are not solvable as is: Puzzle 1 has a 7 clue with nothing on its right, and the maximum allowed clue in Puzzle 2 is 13.
In order to solve the puzzles, we need to place a diagonal mirror (reflective pixel) in some cells of the grid. There are two possible orientations for each mirror: top-left to bottom-right or top-right to bottom-left. The flavortext tells us that one mirror should be placed in each row and column to solve the logic puzzles.
The puzzle rules can be reinterpreted now, taking into account the mirrors.
| Puzzle 1 (Hashiwokakero) | Bridges turn when they hit a mirror and continue to a different island. |
| Puzzle 2 (Kuromasu) | The line of sight of a clue can include mirror cells and can turn afterwards. Since two paths from the same number can intersect after hitting mirrors, this explains “cells seen more than once count multiple times” being in the rules. |
| Puzzle 3 (Skyscrapers) | The cells with mirrors do not contain buildings. N is 6, one less than the side length of the grid. |
| Puzzle 4 (Multidigit Sums) | Mirrors and empty cells separate multi-digit numbers. |
| Puzzle 5 (Mirror Universe [Shortest Axis]) | There are 7 extra regions in addition to the given ones, whose axes of symmetry are the 7 newly-added diagonal mirrors. |
| Puzzle 6 (Nonograms [Zebra]) | The cells with mirrors can be shaded or unshaded and count toward the clue lengths. |
There is only one way to place the mirrors (including orientation) so that the puzzles are solvable.
Warning: if you see this message, please wait for this image to load before printing again.
Warning: if you see this message, please wait for this image to load before printing again.
Warning: if you see this message, please wait for this image to load before printing again.
Warning: if you see this message, please wait for this image to load before printing again.
Warning: if you see this message, please wait for this image to load before printing again.
Warning: if you see this message, please wait for this image to load before printing again.
Now we turn our attention to the final grid. If we move the mirrors in the first 6 grids to the same positions in the last grid, we find that they all occupy different positions. The color of the mirrors match the color of the grid that they came from.
Warning: if you see this message, please wait for this image to load before printing again.
We can deduce the rules of the final puzzle, which is a colored mirror maze:
The letters on the outside represent paths of lasers of the corresponding color, which should start at one instance of a letter and end at the other instance of the letter. In addition, one black mirror should be placed in each row and column (the 7 remaining cells). Primary color lasers (red, blue, green) reflect off of same-colored mirrors, as well as black mirrors. For secondary colors (cyan, magenta, yellow), the lasers reflect off any mirror that its component colors would reflect off of (a magenta laser reflects off red, blue, and black mirrors).
Warning: if you see this message, please wait for this image to load before printing again.
Now that we have solved the final grid, we count the number of cells (equivalently, total distance) that each laser path uses, counting multiple visits multiple times, and convert to letters using A1Z26, getting I DUE FOSCARI.