Question

СРОЧНО!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Вдоль дорожки в парке растут 6 деревьев, и на каждом из них сидит по одной птице. Каждый раз, когда проезжает автомобиль, ровно 2 птицы взлетают и садятся на соседние (в любом из двух направлений) деревья. Могут ли все птицы собраться на одном дереве? Если да, то приведите пример, а если нет, то объясните почему? Ответ.

Answer 1

Ответ:

да могут,так автомобили ездят вдоль прямо,как и расположены деревья.

Answer 2

Can all the birds gather on one tree?

No, it is not possible for all the birds to gather on one tree.

According to the given information, there are 6 trees in the park, and on each tree, there is one bird sitting. Every time a car passes by, exactly 2 birds fly and land on neighboring trees in any direction.

Let's analyze the situation step by step:

1. Initially, each tree has one bird sitting on it. 2. When the first car passes by, 2 birds fly and land on neighboring trees. Now, there are 2 trees with 2 birds each, and 2 trees with no birds. 3. When the second car passes by, 2 more birds fly and land on neighboring trees. Now, there are 4 trees with 1 bird each, and 2 trees with no birds. 4. When the third car passes by, 2 more birds fly and land on neighboring trees. Now, there are 4 trees with 2 birds each, and 2 trees with no birds. 5. This pattern continues with each car passing by, resulting in an equal distribution of birds among the trees.

Based on this pattern, it is clear that the birds will always be distributed evenly among the trees, with no more than 2 birds on any given tree. Therefore, it is not possible for all the birds to gather on one tree.

Example:

To illustrate this, let's consider the initial distribution of birds on the trees:

Tree 1: Bird 1
Tree 2: Bird 2
Tree 3: Bird 3
Tree 4: Bird 4
Tree 5: Bird 5
Tree 6: Bird 6

After the first car passes by, the distribution becomes:

Tree 1: Bird 1, Bird 2
Tree 2: 
Tree 3: Bird 3
Tree 4: Bird 4
Tree 5: Bird 5
Tree 6: Bird 6

After the second car passes by, the distribution becomes:

Tree 1: Bird 1, Bird 2
Tree 2: Bird 3, Bird 4
Tree 3: 
Tree 4: 
Tree 5: Bird 5
Tree 6: Bird 6

And so on. As you can see, the birds are always evenly distributed among the trees, with no more than 2 birds on any given tree.

Therefore, it is not possible for all the birds to gather on one tree.