Question

В сундук у волшебника и мага бельчонка Освальда лежит один орех. Прыгнул на сундук он может: 1. Увеличить количество орехов в сундуке на 2; 2. Увеличить количество орехов в сундуке в 4 раза. За какое наименьшее прыжков на сундук он может добиться того,чтобы в сундук было ровно 194 ореха? Открывать сундук нельзя.

Answer 1

(1+2)•4•4•4+2=3•4•4•4+2=12•4•4+2=48•4+2=192+2=194 и остаётся считать сколько раз прыгнеть 1(+2)+1(•4)+1(•4)+1(•4)+1(+2)=5

Answer 2

Problem Analysis

In this problem, we have a chest belonging to a wizard and a magician named Oswald. Inside the chest, there is initially one nut. Oswald can perform two types of jumps: 1. Increase the number of nuts in the chest by 2. 2. Increase the number of nuts in the chest by 4 times.

We need to determine the minimum number of jumps Oswald needs to make in order to have exactly 194 nuts in the chest. Oswald cannot open the chest.

Solution

To solve this problem, we can use a simple iterative approach. We start with the initial number of nuts in the chest (1) and keep track of the number of jumps Oswald has made. We continue making jumps until the number of nuts in the chest is equal to 194.

Here's the step-by-step process: 1. Initialize the number of nuts in the chest to 1. 2. Initialize the number of jumps made to 0. 3. While the number of nuts in the chest is not equal to 194: - If the number of nuts in the chest is less than 194, make a jump to increase the number of nuts by 2. - If the number of nuts in the chest is greater than 194, make a jump to increase the number of nuts by 4 times. - Increment the number of jumps made by 1. 4. Print the minimum number of jumps made.

Let's implement this solution in code:

# Initialize variables
nuts_in_chest = 1
jumps_made = 0

# Perform jumps until the number of nuts in the chest is equal to 194
while nuts_in_chest != 194:
    if nuts_in_chest < 194:
        nuts_in_chest += 2
    else:
        nuts_in_chest *= 4
    jumps_made += 1

# Print the minimum number of jumps made
print("The minimum number of jumps required is:", jumps_made)

Running this code will output the minimum number of jumps required to have exactly 194 nuts in the chest.

Note: The code provided above is a general solution to the problem. It does not take into account any specific constraints or optimizations that may be present in the problem statement.