{"problem":{"name":"[语言月赛 202403] 星云","description":{"content":"定义星云数为位数不大于 $n$ 且各数位之和不超过 $k$ 的正整数，给定 $n,k$，求星云数的个数。","description_type":"Markdown"},"platform":"Luogu","limit":{"time_limit":1000,"memory_limit":524288},"difficulty":{"LuoguStyle":"P1"},"is_remote":true,"is_sync":true,"sync_url":null,"sign":"LGB3949"},"statements":[{"statement_type":"Markdown","content":"定义星云数为位数不大于 $n$ 且各数位之和不超过 $k$ 的正整数，给定 $n,k$，求星云数的个数。\n\n## Input\n\n第一行输入两个整数 $n,k$。\n\n## Output\n\n输出一行一个整数，表示答案。\n\n[samples]\n\n## Background\n\n你看，那一抹云，衬着星星，多美啊！\n\n## Note\n\n### 数据规模与约定\n\n对于 $30\\%$ 的数据，$n=1$。  \n对于 $100\\%$ 的数据，$1 \\leq n \\leq 7$，$1 \\leq k \\leq 100$。","is_translate":false,"language":"English"}],"meta":{"iden":"LGB3949","tags":["2024","O2优化","枚举","语言月赛"],"sample_group":[["3 2\n","9\n"]],"created_at":"2026-03-03 11:09:25"}}