{"raw_statement":[{"iden":"statement","content":"David and Aram had the following conversation:\n\nDavid: \"_Aram, you're pretty old._\"\n\nAram: \"_I'm not THAT old. If you cube your age and then multiply by $C$, you'd get exactly my age squared._\"\n\nLucca overheard this conversation but isn't sure if he caught the right value for $C$. Help Lucca figure out how young David could be, assuming he heard correctly. \n\nAs everyone knows, ages are positive integers.\n\nInput is a single integer, what Lucca thought he heard for the value of $C$ $(1 <= C < 2^(63))$. \n\nOutput the minimum age David could be.\n\nThe average computer can do roughly $10^8$ elementary operations in one second. If you submit a program that tries to do more than $10^9$ operations, you shouldn't be surprised if your program gets a Time Limit Exceeded verdict! \n\n"},{"iden":"input","content":"Input is a single integer, what Lucca thought he heard for the value of $C$ $(1 <= C < 2^(63))$. "},{"iden":"output","content":"Output the minimum age David could be."},{"iden":"examples","content":"Input1029\nOutput21\nInput10\nOutput10\nInput1000000000000000000\nOutput1\n"},{"iden":"note","content":"The average computer can do roughly $10^8$ elementary operations in one second. If you submit a program that tries to do more than $10^9$ operations, you shouldn't be surprised if your program gets a Time Limit Exceeded verdict! "}],"translated_statement":null,"sample_group":[],"show_order":[],"formal_statement":"Let $ C \\in \\mathbb{Z}^+ $ with $ 1 \\leq C < 2^{63} $.  \nFind the minimum positive integer $ d $ such that there exists a positive integer $ a $ satisfying:  \n$$\nC \\cdot d^3 = a^2\n$$","simple_statement":"Find the smallest positive integer age of David such that $ C \\cdot d^3 = a^2 $, where $ d $ is David’s age and $ a $ is Aram’s age.","has_page_source":false}