Numberlink

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Numberlink puzzle

Numberlink puzzle

The Japanese company Nikoli is known throughout the world for its unique logic puzzles, which include Numberlink.

This game gained wide popularity in the 90s of the last century - after it was published in the pages of Puzzle Communication Nikoli, and has since been ported to mobile platforms, as well as desktop computers and laptops.

Today, users of all ages and nationalities spend their time playing Numberlink, although its final version, by the standards of history, was released quite recently - a little over 30 years ago.

Game history

The Numberlink puzzle became world famous at the end of the last century, but its origins go much deeper into history. Thus, the original version was published in The Brooklyn Daily Eagle at the end of the 19th century - in 1897. In the New York newspaper of the same name, this game, which did not yet have a name, was featured in Sam Lloyd's column.

A little later, in 1917, it was again published on the pages of a Western publication, this time in the book Amusements in Mathematics by Henry Ernest Dudeney. The puzzle received serial number 252, and quickly got lost among similar games regularly published in the USA and Great Britain.

And only at the turn of the 80s and 90s of the XX century, the Japanese publishing house Nikoli published on the pages of its magazine the final version of this long-forgotten game - already under its own name Arukone (アルファベットコネクション), and the Western (adapted) one - Alphabet Connection .

About the same time, another variation of the puzzle arose - Nanbarinku (ナンバートンイ). The only difference between Arukone and Nanbarinku was that the first used pairs of letters, and the second - pairs of numbers that had to be connected together by broken lines. As for the game rules, in both versions they were absolutely identical.

It was Nanbarinku (with numbers) that stood the test of time, and today it is it that is known in the world under the name Numberlink (without a space between words).

By 2006, the Nikoli publishing house had published three books entirely dedicated to this puzzle, and their own adapted versions of this game began to appear on digital platforms. It is noteworthy that, from a computational point of view, the solution to the Numberlink puzzle is NP-complete, even if zigzag lines are allowed between the digits.

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How to solve Numberlink puzzle

How to solve Numberlink puzzle

The Numberlink game can be classified as a classic puzzle game with extremely simple and intuitive rules. Thus, one glance at the playing field is enough to guess what the final task for the player may be.

Identical numbers that are distant from each other immediately want to be combined into pairs, because each of them has only one repetition. To solve the puzzle, you really need to connect paired numbers - with straight and broken lines: in such a way that they do not intersect with each other!

General rules

There is still debate among Numberlink puzzle developers about whether all empty cells of the playing field should be completely filled after connecting lines between numbers. Some consider this a mandatory condition, while others consider it optional.

In any case, this game has strict restrictions that cannot be violated in any version. General game rules include the following points:

  • Each pair of identical numbers must be connected by a solid line: straight or broken.
  • Lines drawn between numbers must not intersect each other.
  • The solution to the puzzle must be unique.

And the fourth (optional) condition is filling all the vertices of the grid, about which there is controversy among developers. In certain varieties of the game, the length of the path (line) between the numbers is indicated in their values themselves. For example, if two fours are placed on the field, the line between them should occupy 4 cells. But this condition is also optional and does not apply in most Numberlink games.

How to solve the puzzle

The Numberlink playing field is limited in size, and leaves virtually no opportunity for the player to make a wrong decision. So, you can always solve a puzzle, and only in one single way. The main thing is to strictly follow the rules and apply winning tactical moves.

Although there are no 100% winning sequences (algorithms) for this game, a number of practical tips can be listed:

  • It is best to start combining numbers from the edges of the playing field. This way you will have much less chance of making mistakes.
  • Priority should be identical numbers located on the same line with each other. Most likely they will be connected not by a broken line, but by a straight line.
  • There is no need to immediately draw lines between the numbers. First, you should mentally calculate all possible options and find areas where the line will be drawn with 100% probability.

When solving a puzzle on paper, you should draw lines with a simple pencil - with the possibility of erasing with an eraser, since the likelihood of errors is quite high (especially for inexperienced players).

If you play the digital version, you can delete incorrect lines with one click. In difficult cases, you can also use the program hint. This option is available in most Numberlink applications on computers and smartphones.