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Four hills $\text{H1, H2, H3,}$ and $\text{H4}$ are present in an area. The following observations are made about them:

  1. Neither $\text{H2}$ nor $\text{H3}$ is the easternmost hill.
  2. Neither $\text{H2}$ nor $\text{H3}$ is the westernmost hill.
  3. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
  4. Two hills are located to the west of $\text{H2}$.
  5. The southernmost hill has at least two hills to its east.

The southernmost hill is $\_\_\_\_$.

  1. $\text{H1}$
  2. $\text{H2}$
  3. $\text{H3}$
  4. $\text{H4}$

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