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$L=\{x^n:n \in N\} \cup\{x^ny^n|n \in N\}$

This language does not have LL(k) parser while being deterministic context free.Why?
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S → aSbS /bSaS / ϵS → aABb A→ c/ ϵ B → d/ ϵWhich of the following is LL1. Explain in details.