12345

12345, a puzzle game where 2+2=3 and 5+5=0. Merge boxes and utilize special blocks to achieve a perfect cover.

Original Game • Easy Version • v1.0

This game is now released! Get through 30 mind-boggling levels with quirky mechanics! (But intuitive once you get it. Some levels are intended to be difficult due to discovering the mechanics first.)

Sequels are possible. You can also contribute, sending your ideas (levels/objects) to me, which might get included in official sequels. You can even create your own spin-off if you want!

Puzzle 77: Boxes

Nanro Put a number into some cells on the grid. All cells with numbers must be connected, but no 2×2 square may consist of all numbers. In each bold region, all numbers must be equal; there must be an equal number of numbers in the bold region as the number written on it. Two equal numbers in different regions may not be orthogonally adjacent.

Expected difficulty Medium • Answer • Comment/E-mail if you want a solution to be published

Puzzle 77: Boxes
Nanro

A terrible first attempt at constructing Nanro puzzles…

12345

So, this is what I did today.

Original version • Easy version • Version 1.0 • AoPS discussion thread

The original version has no instructions (and is intended), although its mechanics is identical to the easy version, which is intended to be easy and has instructions.

So, feedback! Comments, criticisms, suggestions are much appreciated. Also, open for levels and objects suggestions, as long as it can be implemented in the scripting language I use for this, PuzzleScript. (Just suggest anything; I’ll see if it can be implemented.)

(Oh, also, tip. If you get stuck at figuring out the main screen: Wait until it displays the title and with Start Game and so on, then click the applet (to get focus), then press space bar to select. (If you have a previous saved data, you can use arrow keys to choose the menu “Continue”.) The controls are the arrow keys, plus Z for undo and R for restart.)

Puzzle 76: Themeless Hidato

Hidato Put a number between 1 and 100 inclusive such that two consecutive numbers are adjacent (orthogonally or diagonally).

Expected difficulty Medium • Answer • Comment/E-mail if you want a solution to be published

Puzzle 76: Themeless Hidato
Hidato

This one has been laying in my archive for I forgot how long. Instead of having a long absence of puzzles, let’s throw this out. I was planning to use it on a test, but considering now I use exclusively new variants, I think it won’t do any good into the test.

Also, as you can see, I’m figuring out how to make a good tooltip thingy. (See the dotted 100 above? If you use a desktop computer, you can hover your cursor above it. If you can’t (on mobile phone? or something), then don’t worry, it’s not that important, only that you’re missing “why 100?”.)

Anyway, back to making puzzles. I need to make more to avoid leaving the blog dead…

Ripple Effect is NP-complete

Ripple Effect is NP-complete. We reduce from 3-SAT.

Puzzle 75: TomTom is NP-complete

This post has two puzzles!

Latin Square Put an integer between 1 and the length of the grid (5) inclusive such that each row/column has each number exactly once.

Expected difficulty Easy • Answer • Comment/E-mail if you want a solution to be published

Puzzle 75: TomTom is NP-complete
Latin Square

TomTom Put an integer between 1 and the length of the grid (10) inclusive such that each row/column has each number exactly once. The number at the top-left of each region indicates the value of a mathematical operation (addition, subtraction, multiplication, division) applied successively to all digits in the cage, starting with the largest digit for subtraction and division (e.g. 1,2,4 with subtraction is a 1- clue as 4-2-1 = 1). (Description from Grandmaster Puzzles)

Expected difficulty Easy • Answer • Comment/E-mail if you want a solution to be published

Puzzle 75: TomTom is NP-complete
TomTom

I guess the two puzzles above prove that TomTom is NP-complete. We can see a trivial polynomial transformation from a Latin Square to a TomTom, and Latin Square is NP-complete.

So, sorry for Jacob Lance.

NP-Complete Games and Puzzles

Now on its own page!

Happy New Year!

Unlike last year, I don’t have any puzzle planned. I’m constructing an LMI test for April or May, and considering that I just finished my first semester of university a week or so ago, I’ve been taking the holiday for my usual computer stuff: programming, browsing the net, playing some games…

So what have I done in 2013?

Puzzle 74: Double!

Heteromino Divide the white squares into polyominoes of size 3 such that no two identical polyominoes that are also identically oriented are orthogonally adjacent.

Expected difficulty Medium • Answer • Comment/E-mail if you want a solution to be published

Puzzle 74: Double!
Tridivision

Of course this has to happen with a trivial puzzle. There you go, your puzzle consumption after 40 days.

Puzzle 73: Simple?

Pure Loop This is a loop style puzzle. The loop passes all white cells and no black cells.

Expected difficulty Easy • Answer • Comment/E-mail if you want a solution to be published

Puzzle 73: Simple?
Pure Loop

What the heck am I doing here…

UPDATE 14-Mar-2014: I just realized this puzzle type is called “Pure Loop”; Simple Loop is where you’re given some segments of the loop and must pass all squares/dots.