{"problem":{"name":"Battle","description":{"content":"Takahashi and Aoki will have a battle using their monsters. The health and strength of Takahashi's monster are $A$ and $B$, respectively, and those of Aoki's monster are $C$ and $D$, respectively. The","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc164_b"},"statements":[{"statement_type":"Markdown","content":"Takahashi and Aoki will have a battle using their monsters.\nThe health and strength of Takahashi's monster are $A$ and $B$, respectively, and those of Aoki's monster are $C$ and $D$, respectively.\nThe two monsters will take turns attacking, in the order Takahashi's, Aoki's, Takahashi's, Aoki's, ... Here, an attack decreases the opponent's health by the value equal to the attacker's strength. The monsters keep attacking until the health of one monster becomes $0$ or below. The person with the monster whose health becomes $0$ or below loses, and the other person wins.\nIf Takahashi will win, print `Yes`; if he will lose, print `No`.\n\n## Constraints\n\n*   $1 \\leq A,B,C,D \\leq 100$\n*   All values in input are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$A$ $B$ $C$ $D$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc164_b","tags":[],"sample_group":[["10 9 10 10","No\n\nFirst, Takahashi's monster attacks Aoki's monster, whose health is now $10-9=1$.\nNext, Aoki's monster attacks Takahashi's monster, whose health is now $10-10=0$.\nTakahashi's monster is the first to have $0$ or less health, so Takahashi loses."],["46 4 40 5","Yes"]],"created_at":"2026-03-03 11:01:13"}}