{"problem":{"name":"Sum and Product","description":{"content":"Given are integers $S$ and $P$. Is there a pair of positive integers $(N,M)$ such that $N + M = S$ and $N \\times M = P$?","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"arc108_a"},"statements":[{"statement_type":"Markdown","content":"Given are integers $S$ and $P$. Is there a pair of positive integers $(N,M)$ such that $N + M = S$ and $N \\times M = P$?\n\n## Constraints\n\n*   All values in input are integers.\n*   $1 \\leq S,P \\leq 10^{12}$\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$S$ $P$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"arc108_a","tags":[],"sample_group":[["3 2","Yes\n\n*   For example, we have $N+M=3$ and $N \\times M =2$ for $N=1,M=2$."],["1000000000000 1","No\n\n*   There is no such pair $(N,M)$."]],"created_at":"2026-03-03 11:01:13"}}