Question

Собрался Иван-царевич на бой со Змеем Горынычем, трехглавым и треххвостым. — Вот тебе меч-кладенец, — сказала царевичу Баба Яга. Одним ударом ты можешь срубить Змею либо одну голову, либо две головы, либо один хвост, либо два хвоста. Запомни: срубишь голову — новая вырастет; срубишь хвост . два новых вырастут; срубишь два хвоста — голова вырастет; срубишь две головы — ничего не вырастет. За сколько ударов Иван-царевич может срубить Змею Горынычу все головы и все хвосты? По действиям, с пояснениями и ответ в конце

Answer 1

To solve this problem, let's break it down step by step:

1. Ivan Tsarevich has a sword that can cut off either one head, two heads, one tail, or two tails of the three-headed and three-tailed Zmey Gorynych. 2. Each time Ivan cuts off a head, a new head will grow in its place. Similarly, if he cuts off a tail, two new tails will grow. 3. The goal is to determine how many strikes Ivan needs to completely cut off all the heads and tails of Zmey Gorynych.

Let's analyze the possible scenarios:

1. If Ivan cuts off one head, a new head will grow. So, he will need to strike again to remove the new head. 2. If Ivan cuts off two heads, no new heads will grow. So, he can move on to cutting off the tails. 3. If Ivan cuts off one tail, two new tails will grow. So, he will need to strike again to remove the new tails. 4. If Ivan cuts off two tails, no new tails will grow. So, he can move on to cutting off the heads.

Based on these scenarios, we can conclude that Ivan needs to strike at least four times to cut off all the heads and tails of Zmey Gorynych.

Here's a breakdown of the strikes:

1. Strike 1: Cut off one head. 2. Strike 2: Cut off the second head. 3. Strike 3: Cut off one tail. 4. Strike 4: Cut off the second tail.

After these four strikes, Ivan will have successfully cut off all the heads and tails of Zmey Gorynych.

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