Question

На клетчатом листе закрасили прямоугольник 1×7. Каждую минуту закрашиваются все незакрашенные клетки, соседствующие по стороне хотя бы с одной закрашенной. Например, через минуту будет закрашено 23 клетки. Сколько клеток закрасят через 4 минуты?

Answer 1

Ответ:

95

Пошаговое объяснение:

7+    16+20+24+28 =95

Answer 2

Problem Analysis

We have a grid with a rectangle of size 1x7 already colored. Every minute, all uncolored cells adjacent to at least one colored cell are colored. We need to determine how many cells will be colored after 4 minutes.

Solution

To solve this problem, we can simulate the coloring process for each minute and count the number of cells that get colored. Here's how we can do it:

1. Initialize the grid with a rectangle of size 1x7 already colored. 2. Set a counter variable to 0 to keep track of the number of colored cells. 3. Repeat the following steps for 4 minutes: - For each cell in the grid, check if it is adjacent to at least one colored cell. - If it is adjacent to at least one colored cell and is not already colored, color the cell and increment the counter. 4. After 4 minutes, the counter will contain the number of cells that have been colored.

Let's calculate the number of cells that will be colored after 4 minutes.

Calculation

- After 1 minute, 23 cells will be colored. - After 2 minutes, 33 cells will be colored. - After 3 minutes, 43 cells will be colored. - After 4 minutes, 53 cells will be colored.

Therefore, after 4 minutes, 53 cells will be colored.

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