{"problem":{"name":"How many?","description":{"content":"How many triples of non-negative integers $(a, b, c)$ satisfy $a+b+c \\leq S$ and $a \\times b \\times c \\leq T$?","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc214_b"},"statements":[{"statement_type":"Markdown","content":"How many triples of non-negative integers $(a, b, c)$ satisfy $a+b+c \\leq S$ and $a \\times b \\times c \\leq T$?\n\n## Constraints\n\n*   $0 \\leq S \\leq 100$\n*   $0 \\leq T \\leq 10000$\n*   $S$ and $T$ are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$S$ $T$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc214_b","tags":[],"sample_group":[["1 0","4\n\nThe triples $(a,b,c)$ satisfying the conditions are $(0,0,0)$, $(0,0,1)$, $(0,1,0)$, and $(1,0,0)$ ― there are four of them."],["2 5","10"],["10 10","213"],["30 100","2471"]],"created_at":"2026-03-03 11:01:13"}}