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The Newman-Conway sequence is a mathematical sequence defined as follows: - `P(1) = 1` - `P(2) = 1` - For `n > 2`, `P(n) = P(P(n-1)) + P(n - P(n-1))` Write a function `newman_conway(n)` that computes the nth number in the Newman-Conway sequence. #### Example Usage ```python [main.nopy] newman_conway(1) # Output: 1 newman_conway(2) # Output: 1 newman_conway(3) # Output: 2 newman_conway(10) # Output: 6 ``` #### Constraints - The input `n` will be a positive integer greater than or equal to 1.
def newman_conway(n):
"""
Compute the nth number in the Newman-Conway sequence.
Args:
n (int): The position in the sequence (1-indexed).
Returns:
int: The nth number in the Newman-Conway sequence.
"""
# Base cases
if n == 1 or n == 2:
return 1
# Recursive case
# Placeholder for the actual implementation
pass