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Logic games. How to collect "Fifteen"?

Developing logical games are not only recreation and entertainment. Puzzles are aimed at developing logical thinking. There is a huge amount of developing desktop and computer games. Among the well-known and popular is the ageless puzzle game called "Fifty".

The history of the game

At first glance, a simple puzzle has a rich history that dates back to the distant one thousand eight hundred and seventy-fourth year. Its creator was the American Noah Palmer Chapman. An ordinary postmaster, who lived in a small town in the state of New York, came up with a puzzle consisting of sixteen squares. All the squares had to be built four in a row.

In this case, the sum of the numbers in each of them should have been thirty-four. Postmaster's son Frank Chapman perfected the game and changed its rules. The puzzle quickly gained popularity around the world, preserving it to our days.

Rules of the game

A fascinating and rather complicated logical task will be of interest to both children and adults. "Fifteen" - a board game consisting of a square box filled with a set of chips. They are numbered from one to fifteen and are arranged in a box in random order. At the same time, there is room for them to move. The task of the whole game is to get a series of numbers by moving the chips . They should line up in numbers in ascending order. At first glance this is easy and simple. But one should not rush to conclusions. This task is not so simple as it seems at first glance. In some cases, it has no solution.

A simple version of the puzzle

For the acquisition of skills, we start with the simplest version. "Spot" 2x2 perfectly will help to grasp the essence of the game. This version provides a square box in which there are three chips with numbers from one to three. On the playing field, they are placed in random order. They should be arranged in a row: 1, 2, 3. In order to solve the puzzle, one should not chaotically move chips. It is necessary to compute logically how to collect "Fifty".

The scheme of the playing field consists of four positions. Three of them are busy with chips. Fourth empty, it is designed to move. At the end of the game, the top positions are occupied by the numbers 1 and 2. In the bottom row is a triple. We start the game. Suppose, in our simple version, there are a triple and a unit in the upper row. And under the triple from the bottom there is a deuce, to the right of which there is a spare space for moving. We move it to an empty space. The three go down to the vacant seat. Then the unit moves to the left corner. Behind her, the deuce moves up.

As a result of simple actions, the puzzle is solved. We slightly complicate the task. In the version of 3x3 how to collect "Fifty? The diagram shows the sequence of moves. Now you can go to a more complex version of the "Spots".

A puzzle consisting of fifteen chips

After mastering a simple version of the game, you can solve a more complex puzzle. The task is somewhat complicated. Let's try to figure out how to collect the "Spots" 4x4. This classic version of the game has a box in which there are fifteen chips with numbers from one to fifteen. There is also a reserved empty space for moving them. The principle of solving the puzzle is the same as in the simple version. All numbers are arranged in an arbitrary order. It is necessary to arrange them in ascending order of numbers.

Description of the game. How to move chips

Let's try to imagine how to collect "Fifty". The scheme of a logical puzzle consists in the sequential movement of chips. Let's assume that on the game board the numbers are arranged in the following order:

  • 1st line - 8, 15, 2, 11;
  • 2nd line - 4, spare space, 10, 9;
  • 3rd line - 12, 5, 1, 6;
  • The 4th line is 3, 14, 7, 13.

To begin with, we collect the first row of numbers from one to four at the top of the box. It is not difficult to build it. After several moves of chips, the game field has the following appearance:

  • 1st line - 1, 2, 3, 11;
  • 2nd line - 15, 10, reserve place, 4;
  • 3rd line - 5, 8, 6, 9;
  • The 4th line is 14, 12, 7, 13.

In order to set the four on the right place, move the top ten and fifteen clockwise by one position. Then all the digits of the first row are counter-clockwise. Move the unit down. And the other chips move one position to the left. Now we lower the chip number eleven down. And we build numbers of the first row in the correct sequence. In a similar way, we restore the second row.

To do this, all major movements occur in the third row. After restoring the correct sequence of the second row, the game field will have the following appearance:

  • 1st line - 1, 2, 3, 4;
  • 2nd line - 5, 6, 7, 8;
  • 3rd line - reserve cell, 14, 10, 11;
  • The 4th line is 12, 15, 13, 9.

It remains very little until the complete solution of the puzzle. We proceed to arrange the chips in the third row. For this, first of all, move the initial numbers of the last two rows into place. Chips 9 and 13 are fixed and no longer moved. This position has the following appearance:

  • 1st line - 1, 2, 3, 4;
  • 2nd line - 5, 6, 7, 8;
  • 3rd line - 9, reserve space, 15, 11;
  • The 4th line is 13, 14, 12, 10.

On the playing field there are six cells in which five chips are placed. In order to restore the correct order of numbers, it is necessary that numbers 12 and 15 take their places. This can be achieved by several movements. After that, the right combination of numbers will be achieved.

After losing this logical scheme, you get an idea of how to collect "Fifty". The instruction of the game sequence can be used for a variety of digital combinations. The principle of arranging and moving numbers is preserved.

Analogues of digital "Pyatnashes"

Logical exciting game is based on moving chips with numbers that build in a certain sequence. Based on the principles of this game, created no less entertaining puzzles, in which the numbers are replaced with drawings. The picture is cut into separate fragments. The goal of such a logical game is to assemble the original image into a single whole. Unlike the digital "Fifties" it always has a solution.

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