{"problem":{"name":"756","description":{"content":"You are given an integer $N$. Among the divisors of $N!$ $(= 1 \\times 2 \\times ... \\times N)$, how many _Shichi-Go numbers_ (literally \"Seven-Five numbers\") are there? Here, a Shichi-Go number is a po","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc114_d"},"statements":[{"statement_type":"Markdown","content":"You are given an integer $N$. Among the divisors of $N!$ $(= 1 \\times 2 \\times ... \\times N)$, how many _Shichi-Go numbers_ (literally \"Seven-Five numbers\") are there?\nHere, a Shichi-Go number is a positive integer that has exactly $75$ divisors.\n\n## Constraints\n\n*   $1 \\leq N \\leq 100$\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]\n\n## Note\n\nWhen a positive integer $A$ divides a positive integer $B$, $A$ is said to a _divisor_ of $B$. For example, $6$ has four divisors: $1, 2, 3$ and $6$.","is_translate":false,"language":"English"}],"meta":{"iden":"abc114_d","tags":[],"sample_group":[["9","0\n\nThere are no Shichi-Go numbers among the divisors of $9! = 1 \\times 2 \\times ... \\times 9 = 362880$."],["10","1\n\nThere is one Shichi-Go number among the divisors of $10! = 3628800$: $32400$."],["100","543"]],"created_at":"2026-03-03 11:01:14"}}