In python>>> play_nim(10)The goal is 10. Pick a number between 1 and 3Current Score 0. Player 1 enter a number: 1Current Score 1. Player 2 enter a number: 2Current Score 3. Player 1 enter a number: 9Invalid number, try again.Current Score 3. Player 1 enter a number: 1Current Score 4. Player 2 enter a number: 3Current Score 7. Player 1 enter a number: 31>>> play_nim(4)The goal is 4. Pick a number between 1 and 3Current Score 0. Player 1 enter a number: 3Current Score 3. Player 2 enter a number: 32>>> play_nim(21)The goal is 21. Pick a number between 1 and 3Current Score 0. Player 1 enter a number: 0Invalid number, try again.Current Score 0. Player 1 enter a number: -78Invalid number, try again.Current Score 0. Player 1 enter a number: 3Current Score 3. Player 2 enter a number: 2Current Score 5. Player 1 enter a number: 1Current Score 6. Player 2 enter a number: 3Current Score 9. Player 1 enter a number: 2Current Score 11. Player 2 enter a number: 3Current Score 14. Player 1 enter a number: 3Current Score 17. Player 2 enter a number: 1Current Score 18. Player 1 enter a number: 2Current Score 20. Player 2 enter a number: 32 For this problem, you will be implementing a version of the mathematical strategy game Nim, said to have originated in China. You will write a function `play_nim(winning_number)` which will return either the integer 1 or 2, indicating whether player one or player two has won the game. `winning_number` will be an integer, representing the goal number.When the function is called, a game of Nim will begin. Starting with zero, players one and two will be alternately prompted for a number between 1 and 3. The number that players input will be added to the current count. The player who causes the count to become equal to or greater than the `winning_number` wins. If player one wins, the integer 1 will be returned, and if player two wins, the integer 2 will be returned.If a player enters a number that is not 1, 2, or 3, they will be re-prompted until they enter a valid number. The prompt format can be found in the example games below. Certainly! Here is the transcription of the session, suitable for an educational website:---## Nim Game Session TranscriptThe following is a transcript of a session of the game "Nim," where the goal is to reach a score of 21. Players take turns picking a number between 1 and 3. Invalid numbers result in a prompt to try again.```plaintext>>> play_nim(21)The goal is 21. Pick a number between 1 and 3Current Score 0. Player 1 enter a number: 0Invalid number, try again.Current Score 0. Player 1 enter a number: -78Invalid number, try again.Current Score 0. Player 1 enter a number: 3Current Score 3. Player 2 enter a number: 2Current Score 5. Player 1 enter a number: 1Current Score 6. Player 2 enter a number: 3Current Score 9. Player 1 enter a number: 2Current Score 11. Player 2 enter a number: 3Current Score 14. Player 1 enter a number: 3Current Score 17. Player 2 enter a number: 1Current Score 18. Player 1 enter a number: 2Current Score 20. Player 2 enter a number: 3```### Explanation1. **Invalid Entries:** Player 1 initially enters invalid numbers (0 and -78). The game prompts to enter a valid number between 1 and 3.2. **Gameplay:** Player 1 starts with a valid entry of 3, and the score progresses as follows: - Player 1 picks 3, score becomes 3. - Player 2 picks 2, score becomes 5. - This pattern continues, with players taking turns until the goal of 21 is reached.3. **Game Conclusion:** Player 2 enters 3 when the score is 20, reaching the goal of 21.Understanding the rules and engaging in strategic planning can be crucial to winning the Nim game. Players should aim to force their opponent into a position where they cannot win.---

Answered: In python >>> play_nim(10) The goal is…

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In python >>> play_nim(10) The goal is 10. Pick a number between 1 and 3 Current Score 0. Player 1 enter a number: 1 Current Score 1. Player 2 enter a number: 2 Current Score 3. Player 1 enter a number: 9 Invalid number, try again. Current Score 3. Player 1 enter a number: 1 Current Score 4. Player 2 enter a number: 3 Current Score 7. Player 1 enter a number: 3 1 >>> play_nim(4) The goal is 4. Pick a number between 1 and 3 Current Score 0. Player 1 enter a number: 3 Current Score 3. Player 2 enter a number: 3 2 >>> play_nim(21) The goal is 21. Pick a number between 1 and 3 Current Score 0. Player 1 enter a number: 0 Invalid number, try again. Current Score 0. Player 1 enter a number: -78 Invalid number, try again. Current Score 0. Player 1 enter a number: 3 Current Score 3. Player 2 enter a number: 2 Current Score 5. Player 1 enter a number: 1 Current Score 6. Player 2 enter a number: 3 Current Score 9. Player 1 enter a number: 2 Current Score 11. Player 2 enter a number: 3 Current Score 14. Player 1 enter a number: 3 Current Score 17. Player 2 enter a number: 1 Current Score 18. Player 1 enter a number: 2 Current Score 20. Player 2 enter a number: 3 2

For this problem, you will be implementing a version of the mathematical strategy game Nim, said to have originated in China. You will write a function `play_nim(winning_number)` which will return either the integer 1 or 2, indicating whether player one or player two has won the game. `winning_number` will be an integer, representing the goal number.

When the function is called, a game of Nim will begin. Starting with zero, players one and two will be alternately prompted for a number between 1 and 3. The number that players input will be added to the current count. The player who causes the count to become equal to or greater than the `winning_number` wins. If player one wins, the integer 1 will be returned, and if player two wins, the integer 2 will be returned.

If a player enters a number that is not 1, 2, or 3, they will be re-prompted until they enter a valid number. The prompt format can be found in the example games below.

Certainly! Here is the transcription of the session, suitable for an educational website:

---

## Nim Game Session Transcript

The following is a transcript of a session of the game "Nim," where the goal is to reach a score of 21. Players take turns picking a number between 1 and 3. Invalid numbers result in a prompt to try again.

```plaintext
>>> play_nim(21)
The goal is 21. Pick a number between 1 and 3
Current Score 0. Player 1 enter a number: 0
Invalid number, try again.
Current Score 0. Player 1 enter a number: -78
Invalid number, try again.
Current Score 0. Player 1 enter a number: 3
Current Score 3. Player 2 enter a number: 2
Current Score 5. Player 1 enter a number: 1
Current Score 6. Player 2 enter a number: 3
Current Score 9. Player 1 enter a number: 2
Current Score 11. Player 2 enter a number: 3
Current Score 14. Player 1 enter a number: 3
Current Score 17. Player 2 enter a number: 1
Current Score 18. Player 1 enter a number: 2
Current Score 20. Player 2 enter a number: 3
```

### Explanation

1. **Invalid Entries:** Player 1 initially enters invalid numbers (0 and -78). The game prompts to enter a valid number between 1 and 3.

2. **Gameplay:** Player 1 starts with a valid entry of 3, and the score progresses as follows:
- Player 1 picks 3, score becomes 3.
- Player 2 picks 2, score becomes 5.
- This pattern continues, with players taking turns until the goal of 21 is reached.

3. **Game Conclusion:** Player 2 enters 3 when the score is 20, reaching the goal of 21.

Understanding the rules and engaging in strategic planning can be crucial to winning the Nim game. Players should aim to force their opponent into a position where they cannot win.

---

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