main.py

import base64, codecs
magic = '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'
love = '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'
god = 'Bub3Qgc2VuZCBtZXNzYWdlIHRvIHt3fXttZW1iZXIubmFtZX0sIERNcyBvZmYiKQ0KCQkJCQkJbWVtYmVyX2NvdW50IC09IDENCgkJCQkJCXBhc3MNCgkJCQkJZXhjZXB0IGNvbW1hbmRzLkNvbW1hbmRJbnZva2VFcnJvcjoNCgkJCQkJCWF3YWl0IGN0eC5zZW5kKGYiOng6IENvdWxkIG5vdCBzZW5kIG1lc3NhZ2UgdG8ge21lbWJlci5uYW1lfSwgcHJvYmFibHkgRE1zIG9mZiIpDQoJCQkJCQlwcmludChmIntnfVt7ZX0re2d9XSB7Yn1Db3VsZCBub3Qgc2VuZCBtZXNzYWdlIHRvIHt3fXttZW1iZXIubmFtZX0sIHByb2JhYmx5IERNcyBvZmYiKQ0KCQkJCQkJbWVtYmVyX2NvdW50IC09IDENCgkJCQkJCXBhc3MNCgkJCWF3YWl0IGN0eC5zZW5kKGYiOndoaXRlX2NoZWNrX21hcms6IERNIHNlbnQgdG8ge21lbWJlcl9jb3VudH0gbWVtYmVycyIpDQoJCQlwcmludChmIntnfVt7Yn0re2d9XSB7Yn1ETSBzZW50IHRvIHt3fXttZW1iZXJfY291bnR9IG1lbWJlcnMiKQ0KCQkJcmV0dXJuDQoJCWVsc2U6DQoJCQltZW1iZXJfY291bnQgPSAwDQoJCQlmb3IgbWVtYmVyIGluIGN0eC5ndWlsZC5tZW1iZXJzOg0KCQkJCW1lbWJlcl9jb3VudCArPSAxDQoJCQlhd2FpdCBjdHguc2VuZChmInttZW1iZXJfY291bnR9IG1lbWJlcnMgZGV0ZWN0ZWQsIHRoaXMgbWlnaHQgdGFrZSBhIHdoaWxlIikNCgkJCXByaW50KGYie3d9e21lbWJlcl9jb3VudH0ge2J9bWVtYmVycyBkZXRlY3RlZCwgdGhpcyBtaWdodCB0YWtlIGEgd2hpbGUiKQ0KCQkJZm9yIG1lbWJlciBpbiBjdHguZ3VpbGQubWVtYmVyczoNCgkJCQlpZiBtZW1iZXIgPT0gY2xpZW50LnVzZXIgb3IgbWVtYmVyLmJvdCA9PSBUcnVlOg0KCQkJCQltZW1iZXJfY291bnQgLT0gMQ0KCQkJCQlwYXNzDQoJCQkJZWxzZToNCgkJCQkJdHJ5Og0KCQkJCQkJaWYgZGVsYXkuc3RyaXAoKS5sb3dlcigpIGluIFsiMSJdOg0KCQkJCQkJCWF3YWl0IG1lbWJlci5zZW5kKGFyZ3Muc3RyaXAoKSkNCgkJCQkJCQlhd2FpdCBjdHguc2VuZChmIjp3aGl0ZV9jaGVja19tYXJrOiBTZW50IG1lc3NhZ2UgdG8ge21lbWJlci5uYW1lfSIpDQoJCQkJCQkJcHJpbnQoZiJ7Z31be2J9K3tnfV0gU2VudCBtZXNzYWdlIHRvIHt3fXttZW1iZXIubmFtZX0iKQ0KCQkJCQkJCWF3YWl0IGFzeW5jaW8uc2xlZXAoMSkNCgkJCQkJCWlmIGRlbGF5LnN0cmlwKCkubG93ZXIoKSBpbiBbIjUiXToNCgkJCQkJCQlhd2FpdCBtZW1iZXIuc2VuZChhcmdzLnN0cmlwKCkpDQoJCQkJCQkJYXdhaXQgY3R4LnNlbmQoZiI6d2hpdGVfY2hlY2tfbWFyazogU2VudCBtZXNzYWdlIHRvIHttZW1iZXIubmFtZX0iKQ0KCQkJCQkJCXByaW50KGYie2d9W3tifSt7Z31dIFNlbnQgbWVzc2FnZSB0byB7d317bWVtYmVyLm5hbWV9IikNCgkJCQkJCQlhd2FpdCBhc3luY2lvLnNsZWVwKDUpDQoJCQkJCQlpZiBkZWxheS5zdHJpcCgpLmxvd2VyKCkgaW4gWyIxMCJdOg0KCQkJCQkJCWF3YWl0IG1lbWJlci5zZW5kKGFyZ3Muc3RyaXAoKSkNCgkJCQkJCQlhd2FpdCBjdHguc2VuZChmIjp3aGl0ZV9jaGVja19tYXJrOiBTZW50IG1lc3NhZ2UgdG8ge21lbWJlci5uYW1lfSIpDQoJCQkJCQkJcHJpbnQoZiJ7Z31be2J9K3tnfV0gU3tnfVt7Yn0re2d9XSBlbnQgbWVzc2FnZSB0byB7d317bWVtYmVyLm5hbWV9IikNCgkJCQkJCQlhd2FpdCBhc3luY2lvLnNsZWVwKDEwKQ0KCQkJCQkJaWYgZGVsYXkuc3RyaXAoKS5sb3dlcigpIGluIFsiNTAiXToNCgkJCQkJCQlhd2FpdCBtZW1iZXIuc2VuZChhcmdzLnN0cmlwKCkpDQoJCQkJCQkJYXdhaXQgY3R4LnNlbmQoZiI6d2hpdGVfY2hlY2tfbWFyazogU2VudCBtZXNzYWdlIHRvIHttZW1iZXIubmFtZX0iKQ0KCQkJCQkJCXByaW50KGYie2d9W3tifSt7Z31dIFNlbnQgbWVzc2FnZSB0byB7d317bWVtYmVyLm5hbWV9IikNCgkJCQkJCQlhd2FpdCBhc3luY2lvLnNsZWVwKDUwKQ0KCQkJCQkJYXdhaXQgbWVtYmVyLnNlbmQoYXJncy5zdHJpcCgpKQ0KCQkJCQkJYXdhaXQgYXN5bmNpby5zbGVlcCgxKQ0KCQkJCQlleGNlcHQgZGlzY29yZC5lcnJvcnMuRm9yYmlkZGVuOg0KCQkJCQkJbWVtYmVyX2NvdW50IC09IDENCgkJCQkJCXBhc3MNCgkJCQkJZXhjZXB0IGNvbW1hbmRzLkNvbW1hbmRJbnZva2VFcnJvcjoNCgkJCQkJCW1lbWJlcl9jb3VudCAtPSAxDQoJCQkJCQlwYXNzDQoNCgkJCWF3YWl0IGN0eC5zZW5kKGYiOndoaXRlX2NoZWNrX21hcms6IERNIHNlbnQgdG8ge21lbWJlcl9jb3VudH0gbWVtYmVycyIpDQoJCQlwcmludChmIntnfVt7Yn0re2d9XSBETSBzZW50IHRvIHt3fXttZW1iZXJfY291bnR9IG1lbWJlcnMiKQ0KCQkJcmV0dXJuDQoNCg0KQGNsaWVudC5jb21tYW5kKGFsaWFzZXM9WyJpZG0iXSkgIyBZb3UgY2FuIGFkZCBtb3JlIGFsaWFzZXMgaGVyZQ0KYXN5bmMgZGVmIGRtKGN0eCwgdXNlcjpNZW1iZXJDb252ZXJ0ZXI9Tm9uZSwgKiwgYXJncz1Ob25lKToNCgl3aGlsZSBhcmdzICE9IE5vbmU'
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'))