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A transmission line terminates in two branches, each of length $\lambda / 4$, as shown. The branches are terminated by $50 \; \Omega$ loads. The lines are lossless and have the characteristic impedances shown. Determine the impedance $Z_{i}$ as seen by the source.

1. $200 \; \Omega$
2. $100 \; \Omega$
3. $50 \; \Omega$
4. $25 \; \Omega$