Question

m×n тақтасының әрбір ұяшығы ақ немесе қара түске боялған , әрбір қара ұяшықта қара көрші ұяшықтардың тақ саны болады. Қара ұяшықтардың саны жұп екенін дәлелдеңдер

Answer 1

Ответ:

сандарға:2,4,6,8,10,12,14,16,18,20 ...........деген сияқты сандар жатады.

Тақ сандарға:1,3,5,7,9,11,13,15,17,19,21............деген сияқты сандар жатады.

Жұп сан дегеніміз 2-ге қалдықсыз бөлінетін сандар.

Тақ сан 2-ге қалдықпен бөлінетін сандар.

Жақсы Жауап

Answer 2

The Color of Squares on an m x n Chessboard

The color of each square on an m x n chessboard can be determined by its position. In a standard chessboard, the squares alternate between black and white. The top-left square is always white.

To determine the color of a specific square, you can use the following rule: - If the sum of the row number and column number is even, the square is white. - If the sum of the row number and column number is odd, the square is black.

For example, let's consider a 4 x 4 chessboard:

  1 2 3 4
1 W B W B
2 B W B W
3 W B W B
4 B W B W

In this case, the white squares are represented by 'W' and the black squares by 'B'. You can see that the pattern alternates between white and black squares.

The number of black squares on a chessboard can be calculated by counting the number of squares with odd row and column numbers. Similarly, the number of white squares can be calculated by counting the number of squares with even row and column numbers.

Let's take a 5 x 3 chessboard as an example:

  1 2 3
1 W B W
2 B W B
3 W B W
4 B W B
5 W B W

In this case, there are 8 black squares and 7 white squares.

Therefore, the number of black squares on an m x n chessboard can be calculated using the formula:

Number of black squares = (m * n + 1) / 2

And the number of white squares can be calculated using the formula:

Number of white squares = (m * n) / 2

Please note that these formulas assume that the top-left square is white.

I hope this explanation helps! Let me know if you have any further questions.