Alphametic BaseBall

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------




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Rose, Lily and Jasmine decided to buy flowers for their moms on Mother's Day. One of them bought lilies, the other roses, and the third one jasmines.
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'You're right!', said Lily.
What kind of flowers did each of the girls buy?

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.