{"raw_statement":[{"iden":"problem statement","content":"How many arithmetic progressions consisting of integers with a common difference of $1$ have a sum of $N$?"},{"iden":"constraints","content":"*   $1 ≤ N ≤ 10^{12}$\n*   $N$ is an integer."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$"},{"iden":"sample input 1","content":"12"},{"iden":"sample output 1","content":"4\n\nWe have four such progressions:\n\n*   $[12]$\n*   $[3, 4, 5]$\n*   $[-2, -1, 0, 1, 2, 3, 4, 5]$\n*   $[-11, -10, -9, \\dots, 10, 11, 12]$"},{"iden":"sample input 2","content":"1"},{"iden":"sample output 2","content":"2\n\nWe have two such progressions:\n\n*   $[1]$\n*   $[0, 1]$"},{"iden":"sample input 3","content":"963761198400"},{"iden":"sample output 3","content":"1920"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}