Question

Андрiй та Матвій грають у гру. На дошцi записуються числа 63 та 55. За один хiд дозволяється записати ще одне число, що е рiзницею двох чисел, якi вже записанi. Числа на дошцi не повинні повторюватись. Програе той, хто не може зробити хiд. Андрiй починає першим. Хто вигра, Андрiй чи Матвiй​

Answer 1

Ответ:

виграє Андрій

Пошаговое объяснение:

в нас є межі від (1 до 63). Андрій починає першим тому в нього числа непарні 1, 3, 5 та ін. а Матвій другий ходить тому він записує 2, 4, 6 та ін. Останнє число Андрія буде не парне і останнє, а Матвійові просто не лишаться числа. Надіюсь всьо правильно

Answer 2

Rules of the Game

Andriy and Matviy are playing a game where they write numbers on a board. The numbers 63 and 55 are already written on the board. In each turn, a player is allowed to write one more number on the board, which is the difference between two numbers already written on the board. The numbers on the board should not be repeated. The player who cannot make a move loses the game. Andriy starts the game.

Analyzing the Game

To determine who will win the game, we need to analyze the possible moves and outcomes. Let's consider the available numbers and the possible differences between them:

- The numbers on the board: 63, 55 - Possible differences: 63 - 55 = 8, 55 - 63 = -8

Possible Moves

Andriy's first move is to write the number 8 on the board, as it is the difference between 63 and 55. Now, the numbers on the board are: 63, 55, 8.

Analyzing the Next Moves

Now, let's analyze the possible moves for Matviy:

1. Matviy can write the number 55 - 8 = 47 on the board. 2. Matviy can write the number 63 - 8 = 55 on the board.

Analyzing the Outcomes

Let's analyze the outcomes of each possible move:

1. If Matviy writes 47 on the board, the numbers on the board will be: 63, 55, 8, 47. Now, Andriy can write the number 55 - 47 = 8 on the board. After that, Matviy will not be able to make a move, as there will be no difference between the numbers on the board. Therefore, Matviy will lose the game.

2. If Matviy writes 55 on the board, the numbers on the board will be: 63, 55, 8, 55. Now, Andriy can write the number 63 - 55 = 8 on the board. After that, Matviy will not be able to make a move, as there will be no difference between the numbers on the board. Therefore, Matviy will lose the game.

Conclusion

Based on the analysis, it is clear that Matviy will lose the game. Andriy will be the winner.

Andriy wins the game.