{"problem":{"name":"AABCC","description":{"content":"How many positive integers no greater than $N$ can be represented as $a^2 \\times b \\times c^2$ with three **primes** $a,b$, and $c$ such that $a<b<c$?","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":3000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc300_d"},"statements":[{"statement_type":"Markdown","content":"How many positive integers no greater than $N$ can be represented as $a^2 \\times b \\times c^2$ with three **primes** $a,b$, and $c$ such that $a<b<c$?\n\n## Constraints\n\n*   $N$ is an integer satisfying $300 \\le N \\le 10^{12}$.\n\n## Input\n\nThe input is given from Standard Input in the following format:\n\n$N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc300_d","tags":[],"sample_group":[["1000","3\n\nThe conforming integers no greater than $1000$ are the following three.\n\n*   $300 = 2^2 \\times 3 \\times 5^2$\n*   $588 = 2^2 \\times 3 \\times 7^2$\n*   $980 = 2^2 \\times 5 \\times 7^2$"],["1000000000000","2817785"]],"created_at":"2026-03-03 11:01:14"}}