Contest Duration: - (local time) (100 minutes) Back to Home
A - Vanishing Pitch /

Time Limit: 2 sec / Memory Limit: 1024 MB

### 問題文

ボールが高橋君のもとからちょうど D \, \mathrm{m} 離れたときにボールが消えていないならば、青木君はボールを打つことができます。消えているなら打つことはできません。

### 制約

• 1 \le V \le 1000
• 1 \le T \lt S \le 1000
• 1 \le D \le 1000
• 入力は全て整数

### 入力

V T S D


### 入力例 1

10 3 5 20


### 出力例 1

Yes


ボールが高橋君からちょうど 20 \, \mathrm{m} 離れるのは、高橋君がボールを投げてから 2 秒後です。

### 入力例 2

10 3 5 30


### 出力例 2

No


この場合、ボールが D \, \mathrm{m} 離れるのは高橋君が投げてからちょうど T 秒後なので、ボールは消えており、青木君はボールを打つことができません。

Score : 100 points

### Problem Statement

Takahashi and Aoki are playing baseball. Takahashi is the pitcher, and Aoki is the batter.
Takahashi 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.
If 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?

### Constraints

• 1 \le V \le 1000
• 1 \le T \lt S \le 1000
• 1 \le D \le 1000
• All values in input are integers.

### Input

Input is given from Standard Input in the following format:

V T S D


### Output

If Aoki can hit the ball, print Yes; otherwise, print No.

### Sample Input 1

10 3 5 20


### Sample Output 1

Yes


The ball is exactly 20 \, \mathrm{m} away from Takahashi at 2 seconds after throwing.
On the other hand, the ball becomes invisible between 3 and 5 seconds (inclusive) after throwing, so Aoki can hit the ball.

### Sample Input 2

10 3 5 30


### Sample Output 2

No


Note that the ball is also invisible at T seconds and S seconds after throwing.
Here, 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.