{"raw_statement":[{"iden":"problem statement","content":"How many triples of non-negative integers $(a, b, c)$ satisfy $a+b+c \\leq S$ and $a \\times b \\times c \\leq T$?"},{"iden":"constraints","content":"*   $0 \\leq S \\leq 100$\n*   $0 \\leq T \\leq 10000$\n*   $S$ and $T$ are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$S$ $T$"},{"iden":"sample input 1","content":"1 0"},{"iden":"sample output 1","content":"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."},{"iden":"sample input 2","content":"2 5"},{"iden":"sample output 2","content":"10"},{"iden":"sample input 3","content":"10 10"},{"iden":"sample output 3","content":"213"},{"iden":"sample input 4","content":"30 100"},{"iden":"sample output 4","content":"2471"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}