Nonogram Puzzle For iPhone

Nonograms Pro is a lovely version of Nonogram puzzles (aka Griddlers) for your iPhone.

Nonograms are logic puzzles that use number clues around a grid to create an image. Each clue indicates a group of contiguous squares of like color. Between each group there is at least one empty square. The clues are already in the correct sequence. Groups of different colors may or may not have empty squares between them.

No problem if you don’t have an iPhone you can also play Nonograms Online on our online puzzle games webpage with each week a new Nonogram puzzle. Happy Puzzling!

What is hanjie and how do you play it?

Hanjie puzzles have been around for a long time, but they are still unknown to many puzzle players.

You may have played hanjie under a range of names - it has been known variously as tsunami, hanjie, nonogram, griddler and probably more besides.

The aim is to work out which cells in each row and column of the grid-based puzzle must be filled in. To help decide this, at the edge of each row and column are a series of numbers that tell you how many cells are filled in that region.

For instance, it could say ‘5,2′ - this means there are five filled cells and another region of two filled cels that are consecutive. A comma denotes a gap of at least one cell between filled regions (otherwise it would be 7 if there was no gap!), but the gap can be many more than one cell.

The puzzle is solved through cross-referencing, and making gradual progress each time through with the harder puzzles.

Some things are easy to work out - for instance if all or none of the cells in a row are to be filled then you can fill them in straight off. If more than half of the cells are to be filled, then you can fill the middle cell(s).

For instance, if the row is five cells in length and you know that 3 cells are filled, then in any combination the middle cell must be filled in, therefore you can fill it in.

Likewise, you can also make progress by working out cells that are not filled too, as this can further constrain options for the various regions and columns. To mark a cell that cannot be filled may hanjie players like to put a dot in the cell.

At the end of the puzzle you will reveal a simple black and white image, and a clue to this is often given at the start of the puzzle. Depending on how good the puzzle artwork is, the image may be more or less easy to recognise at the end!

Door Toggling Puzzle Or 100 Doors Puzzle

This is a very common interview puzzle. The problem is very simple if you understand it. So the point to note is, do not arrive at the solution so "fast”, if you are asked this puzzle in an interview and if you are not planning to show any acquaintance with this puzzle.

Problem goes like this :

There are N doors in a row numbered from 1 to N. Initially all are closed.
Then you make N passes by the N doors. In pass 1 you toggle the all the doors (1,2,3,4....)starting from the first door. In the second pass you toggle every second door(2,4,6,8,...). In the third pass you toggle all third doors(3,6,9...).Similarly you make N passes.

Question is what is the state of door k after N passes.

This is a simple but requires clear mathematical Logic.

Normally asked version has N=100.

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