{"problem":{"name":"Count Balls","description":{"content":"Takahashi has many red balls and blue balls. Now, he will place them in a row. Initially, there is no ball placed. Takahashi, who is very patient, will do the following operation $10^{100}$ times: * ","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc158_b"},"statements":[{"statement_type":"Markdown","content":"Takahashi has many red balls and blue balls. Now, he will place them in a row.\nInitially, there is no ball placed.\nTakahashi, who is very patient, will do the following operation $10^{100}$ times:\n\n*   Place $A$ blue balls at the end of the row of balls already placed. Then, place $B$ red balls at the end of the row.\n\nHow many blue balls will be there among the first $N$ balls in the row of balls made this way?\n\n## Constraints\n\n*   $1 \\leq N \\leq 10^{18}$\n*   $A, B \\geq 0$\n*   $0 < A + B \\leq 10^{18}$\n*   All values in input are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$ $A$ $B$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc158_b","tags":[],"sample_group":[["8 3 4","4\n\nLet `b` denote a blue ball, and `r` denote a red ball. The first eight balls in the row will be `bbbrrrrb`, among which there are four blue balls."],["8 0 4","0\n\nHe placed only red balls from the beginning."],["6 2 4","2\n\nAmong `bbrrrr`, there are two blue balls."]],"created_at":"2026-03-03 11:01:14"}}