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- e=lambda s:(lambda c:exec(__import__("zlib").decompress(__import__("base64").b64decode(bytes(s,c))).decode(c)))("%s%d%d"%(__import__("sys").__doc__[2:50:17],-0o21233,~0))
- e('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')
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