Puzzles 41-42: Untruthful People

Puzzle 41: Liar Hidato. Follow regular Hidato rules (fill each white cell by a number between 1-66 inclusive so each number appears exactly once and consecutive numbers are adjacent (orthogonally or diagonally)). In addition, for every row/column that has at least a given, one of the givens is lying.

Puzzle 42: Liar Akari. Follow regular Akari rules (put some lamps which lit the entire unobstructed (by grid edges or black cells) paths to up+down+left+right of each so all squares are lit and no lamp lights another, and numbers on black cells represent the number of lamps orthogonally adjacent to the corresponding black cell). In addition, all givens are lying.

It has never been the case that people in Flygrass Town are lying en masse, but it never removes the possibility. Indeed, today is perhaps the “Lying Day” where people are basically lying all the time. Almost.

In the Allgreen Forest, guards are sometimes lying. Fortunately, no two lying guards can be in the same line of sight, as either will report the other and hell will break loose. But still, the visitors of the forest are confounded. After several reports, Sky decides to fix this by putting a correct traversal path. If he can.

Meanwhile, in the Art Museum, a blackout occurs. But it’s Lying Day, so no guard gives the correct response when they are queried about the number of lights they guard. Apparently they all conspired to answer zero? Whatever, Sky still gets to handle it.

Puzzle 41: Untruthful Forest Guards Liar Hidato

Puzzle 41: Untruthful Forest Guards
Liar Hidato

Puzzle 42: Untruthful Museum Guards Liar Akari

Puzzle 42: Untruthful Museum Guards
Liar Akari

Enjoy these very unusual Liar variations. It will probably be a long time before I get around these things again.

Why Liar Akari’s black squares are much lighter? I suspect that you will write the correct given for each cell…maybe. But it’s better to prepare too much than too little. If you want a version with darker black squares, just comment; I’ll provide one if there is enough interest (say, 2 people?).

Puzzle 31: Hey People Redux

Akari. Put light bulbs. A light bulb illuminates unobstructed white cells in the four cardinal directions (up, down, left, right). A light bulb may not be illuminated by another light bulb. A number means that there are that many light bulbs in the four cells orthogonally adjacent to that cell.

Because Yoshi is bored, he decides to make a blog and post puzzles in it. However, his first puzzle is aesthetically unpleasant, so this Shaymin decides to fix it a bit… “Rated medium!” the Shaymin exclaims.

Puzzle 31: Hey People Redux
Akari

Employing a very unusual opening allows this puzzle to have both great aesthetics (intended) and a tough-looking puzzle (not intended). Well, good luck. Bifurcation (aka trial-and-error) will easily destroy this apart, but can you get that cool opening?

Puzzle 6: Antisymmetric Light Bulbs

Akari Put some light bulbs on the cells of the grid. Light bulbs illuminate all squares in the four orthogonal directions (up, down, left, right), up until reaching an edge of the grid or a black square. Illuminate all squares, but no light bulb may illuminate another light bulb. A number on a black square determines the number of light bulbs orthogonally adjacent to it.

Expected difficulty EasyAnswerComment/E-mail if you want a solution to be published

Puzzle 6: Akari

Puzzle 6: Antisymmetric Light Bulbs
Akari

We interrupt the IMO 2012 series for this post and the next post.

Yay for puzzles. Guess I’m back at “logicsmithing”.

This one is a pretty easy Akari. However, the aesthetic part of this puzzle is rather high by my standards. Opposing givens add up to 3, just like some Slitherlink I’ve seen…

*went browsing for like 30 minutes*

Oh hey I can’t find that puzzle. Whatever; it means I can make it some time soon and claim it as the only one in the last [insert a small time interval (less than a year)] 😛

Whatever. Akari, 10×10. Would go to an easy or something. Did I repeat myself?