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Construct a translation of the given compound statement into propositional logic notation. Statement:
California's having a gold rush is a sufficient condition for its being admitted into the Union; moreover, Alaska's having gold rush and Its being purchased from Russia is sufficient condition for its being admitted into the Union and its having two senators.

A =Alaska has a gold rush.
C= California has a gold rush.
L= California is admitted into the union.
R =Alaska is purchased from Russia.
S = Alaska has two senators.
U = Alaska is admitted into the Union.

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