{"problem":{"name":"不定方程求解","description":{"content":"给定正整数 $a$，$b$，$c$。求不定方程 $ax+by=c$ 关于未知数 $x$ 和 $y$ 的所有非负整数解组数。","description_type":"Markdown"},"platform":"Luogu","limit":{"time_limit":1000,"memory_limit":131072},"difficulty":{"LuoguStyle":"P1"},"is_remote":true,"is_sync":true,"sync_url":null,"sign":"LGB2086"},"statements":[{"statement_type":"Markdown","content":"给定正整数 $a$，$b$，$c$。求不定方程 $ax+by=c$ 关于未知数 $x$ 和 $y$ 的所有非负整数解组数。\n\n## Input\n\n一行，包含三个正整数 $a$，$b$，$c$，两个整数之间用单个空格隔开。每个数均不大于 $1000$。\n\n## Output\n\n一个整数，即不定方程的非负整数解组数。\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"LGB2086","tags":["循环结构"],"sample_group":[["2 3 18","4"]],"created_at":"2026-03-03 11:09:25"}}