Question

В живом уголке стоят 5 клеток с канарейками (клетки стоят в один ряд). Известно, что в каждой клетке сидит хотя бы одна канарейка. Будем называть двух канареек соседками, если они сидят либо в одной клетке, либо в соседних. Оказалось, что у каждой канарейки есть либо 13, либо 19 соседок. Сколько канареек сидит в центральной клетке?

Answer 1

Ответ:

кажется что 9 канареек

Answer 2

Problem Analysis

We are given a scenario where there are 5 cells in a row, each containing at least one canary. Two canaries are considered neighbors if they are either in the same cell or in adjacent cells. It is known that each canary has either 13 or 19 neighbors. We need to determine how many canaries are sitting in the central cell.

Solution

Let's consider the possible scenarios for the number of neighbors each canary can have: 1. If a canary has 13 neighbors, it means that it is not sitting in the central cell. In this case, the canary must have 19 neighbors in order to satisfy the given conditions. 2. If a canary has 19 neighbors, it means that it is sitting in the central cell. In this case, the canary cannot have 13 neighbors because it would violate the given conditions.

Based on the above analysis, we can conclude that the canary sitting in the central cell must have 19 neighbors.

Conclusion

The canary sitting in the central cell has 19 neighbors.