{"raw_statement":[{"iden":"problem statement","content":"Takahashi and Aoki are playing baseball. Takahashi is the pitcher, and Aoki is the batter.  \nTakahashi can throw an invisible pitch. When he throws it, the ball moves linearly at a constant speed $V \\, \\mathrm{m / s}$, and it becomes invisible between the moment $T$ seconds after throwing and the moment $S$ seconds after throwing (inclusive). The ball keeps moving when it is invisible.  \nIf the ball is not invisible at the moment the ball is exactly $D \\, \\mathrm{m}$ away from Takahashi, Aoki can hit the ball. Otherwise, he cannot hit it. Can Aoki hit the ball?"},{"iden":"constraints","content":"*   $1 \\le V \\le 1000$\n*   $1 \\le T \\lt S \\le 1000$\n*   $1 \\le D \\le 1000$\n*   All values in input are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$V$ $T$ $S$ $D$"},{"iden":"sample input 1","content":"10 3 5 20"},{"iden":"sample output 1","content":"Yes\n\nThe ball is exactly $20 \\, \\mathrm{m}$ away from Takahashi at $2$ seconds after throwing.  \nOn the other hand, the ball becomes invisible between $3$ and $5$ seconds (inclusive) after throwing, so Aoki can hit the ball."},{"iden":"sample input 2","content":"10 3 5 30"},{"iden":"sample output 2","content":"No\n\nNote that the ball is also invisible at $T$ seconds and $S$ seconds after throwing.  \nHere, the ball is exactly $D \\, \\mathrm{m}$ away from Takahashi at $T$ seconds after throwing, so the ball is invisible and cannot be hit by Aoki."}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}