<snapdata remixID="9038134"><project name="Problem set 4-1" app="Snap! 5.4, http://snap.berkeley.edu" version="1"><notes></notes><thumbnail>data:image/png;base64,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name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" codify="false" inheritance="true" sublistIDs="false" scheduled="false" 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