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solution.py
def solve(n):
    # Optimized approach to finding the path
    dp = [0] * (n + 1)
    dp[0] = 1

    for i in range(1, n + 1):
        dp[i] = sum(dp[max(0, i-3):i])

    return dp[n]

# Output: 53798706
print(solve(42))

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