A projectile is fired from horizontal ground with speed 𝑣 and projection angle 𝜃. When the acceleration due to gravity is 𝑔, the range of the projectile is 𝑑. If at the highest point in its trajectory, the projectile enters a different region where the effective acceleration due to gravity is � �� = � �.�� , then the new range is 𝑑� = 𝑛𝑑. The value of n is _____.

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