{"raw_statement":[{"iden":"statement","content":"While listening to an orchestra fail to play the music from 2001: A Space Odyssey, you wonder what the lowest positive number (other than one) that divides 2001 is. It turns out to be 3 (2001 = 3 * 667). Write a program to find this value for any composite number $n$.\n\nThe only line of input contains a single positive composite (not prime) integer $n$, greater than one: the number used in your calculations.\n\nOutput a single positive integer _k_: the smallest positive number (other than one) that divides $n$.\n\n"},{"iden":"input","content":"The only line of input contains a single positive composite (not prime) integer $n$, greater than one: the number used in your calculations."},{"iden":"output","content":"Output a single positive integer _k_: the smallest positive number (other than one) that divides $n$."}],"translated_statement":null,"sample_group":[],"show_order":[],"formal_statement":"**Definitions**  \nLet $ n \\in \\mathbb{Z} $ be a composite integer such that $ n > 1 $.\n\n**Constraints**  \n$ n $ is composite and $ n > 1 $.\n\n**Objective**  \nFind the smallest integer $ k \\in \\mathbb{Z} $ such that $ k > 1 $ and $ k \\mid n $.","simple_statement":"Find the smallest divisor greater than 1 of a composite number n.","has_page_source":false}