{"problem":{"name":"Staircase Sequences","description":{"content":"How many arithmetic progressions consisting of integers with a common difference of $1$ have a sum of $N$?","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc190_d"},"statements":[{"statement_type":"Markdown","content":"How many arithmetic progressions consisting of integers with a common difference of $1$ have a sum of $N$?\n\n## Constraints\n\n*   $1 ≤ N ≤ 10^{12}$\n*   $N$ is an integer.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc190_d","tags":[],"sample_group":[["12","4\n\nWe have four such progressions:\n\n*   $[12]$\n*   $[3, 4, 5]$\n*   $[-2, -1, 0, 1, 2, 3, 4, 5]$\n*   $[-11, -10, -9, \\dots, 10, 11, 12]$"],["1","2\n\nWe have two such progressions:\n\n*   $[1]$\n*   $[0, 1]$"],["963761198400","1920"]],"created_at":"2026-03-03 11:01:13"}}