Contest Duration: - (local time) (100 minutes) Back to Home
A - Growth Record /

Time Limit: 2 sec / Memory Limit: 1024 MB

### 問題文

また、以下のことが分かっています。

• 高橋君は 0 歳の誕生日(生まれた当日)から X 歳の誕生日までの間、毎年身長が D cmずつ伸びた。より厳密に書くと、i=1,2,\ldots,X それぞれに対し、i-1 歳の誕生日から i 歳の誕生日までの間に身長が D cm伸びた。
• 高橋君は X 歳の誕生日から N 歳の誕生日までの間、身長が変化していない。

### 制約

• 0 \leq M \lt N \leq 100
• 1 \leq X \leq N
• 1 \leq T \leq 200
• 1 \leq D \leq 100
• 高橋君の 0 歳の誕生日の時の身長は 1 cm以上である
• 入力はすべて整数

### 入力

N M X T D


### 入力例 1

38 20 17 168 3


### 出力例 1

168


この例では、高橋君の 38 歳の誕生日の時の身長が 168 cmです。また、17 歳の誕生日から 38 歳の誕生日までの間、身長が変化していません。
このことから、20 歳の誕生日の時の身長は 168 cmだったと言え、これが答えになります。

### 入力例 2

1 0 1 3 2


### 出力例 2

1


この例において、高橋君は 0(=M) 歳の誕生日の時の身長が 1 cmで、1(=N) 歳の誕生日の時の身長が 3(=T) cmです。

### 入力例 3

100 10 100 180 1


### 出力例 3

90


Score : 100 points

### Problem Statement

Takahashi had his N-th birthday, when he was T centimeters tall.
Additionally, we know the following facts:

• In each year between Takahashi's birth (0-th birthday) and his X-th birthday, his height increased by D centimeters. More formally, for each i = 1, 2, \ldots, X, his height increased by D centimeters between his (i-1)-th birthday and his i-th birthday.
• Between Takahashi's X-th birthday and his N-th birthday, his height did not change.

Find Takahashi's height on his M-th birthday, in centimeters.

### Constraints

• 0 \leq M \lt N \leq 100
• 1 \leq X \leq N
• 1 \leq T \leq 200
• 1 \leq D \leq 100
• Takahashi was at least 1 centimeter tall at his birth.
• All values in input are integers.

### Input

Input is given from Standard Input in the following format:

N M X T D


### Output

Print the answer as an integer.

### Sample Input 1

38 20 17 168 3


### Sample Output 1

168


In this sample, Takahashi was 168 centimeters tall on his 38-th birthday. Also, his height did not change between his 17-th birthday and 38-th birthday.
From these facts, we find that he was 168 centimeters tall on his 20-th birthday, so the answer is 168.

### Sample Input 2

1 0 1 3 2


### Sample Output 2

1


In this sample, Takahashi was 1 centimeter tall on his 0(=M)-th birthday and 3(=T) centimeters tall on his 1(=N)-st birthday.

### Sample Input 3

100 10 100 180 1


### Sample Output 3

90