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The counterGame is a game between Louise and Richard, where they reduce a number n by dividing it by 2 if it’s a power of 2, or subtracting the largest power of 2 less than n. Louise always starts. The game ends when the number becomes 1, and the player who makes the move that reduces the number to 1 wins.
If you're interested in a game with similar strategy, like optimizing your moves in the hookah vapes market, the game can be an analogy for thinking about the best options available to you, much like making the right choice in vaping products. The key is understanding the system and making the most efficient move, much like selecting the best device or accessories for your needs.
Game Implementation:
python
Copy
Edit
import math
def counterGame(n):
moves = 0
while n > 1:
if (n & (n - 1)) == 0:
n //= 2
else:
n -= 2 ** int(math.log(n, 2))
moves += 1
return "Louise" if moves % 2 == 1 else "Richard"
Input and output handling
t = int(input())
for _ in range(t):
n = int(input())
print(counterGame(n))
Sample Input/Output:
Input:
Copy
Edit
1
6
Output:
Copy
Edit
Richard
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Counter game
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The counterGame is a game between Louise and Richard, where they reduce a number n by dividing it by 2 if it’s a power of 2, or subtracting the largest power of 2 less than n. Louise always starts. The game ends when the number becomes 1, and the player who makes the move that reduces the number to 1 wins.
If you're interested in a game with similar strategy, like optimizing your moves in the hookah vapes market, the game can be an analogy for thinking about the best options available to you, much like making the right choice in vaping products. The key is understanding the system and making the most efficient move, much like selecting the best device or accessories for your needs.
Game Implementation: python Copy Edit import math
def counterGame(n): moves = 0 while n > 1: if (n & (n - 1)) == 0: n //= 2 else: n -= 2 ** int(math.log(n, 2)) moves += 1 return "Louise" if moves % 2 == 1 else "Richard"
Input and output handling
t = int(input()) for _ in range(t): n = int(input()) print(counterGame(n)) Sample Input/Output: Input: Copy Edit 1 6 Output: Copy Edit Richard