Problem D
Saving For Retirement
Alice is saving for her retirement. She hasn’t really decided how much she wants to save, but when she retires, she wants to have strictly more money than Bob will have when he retires.
Bob is $B$ years old. He plans to retire when he becomes $B_ r$ years old. He saves $B_ s$ every year from now until then.
Alice is $A$ years old. She wants to save $A_ s$ every year. When is the earliest time she can retire?
Input
The input is a single line consisting of $5$ space separated integers; $B$, $B_ r$, $B_ s$, $A$, $A_ s$.
Output
Output the age at which Alice can retire so that she has more money than Bob will have at age $B_ r$.
Limits
-
$20 \leq B \leq B_ r \leq 100$
-
$20 \leq A \leq 100$
-
$1 \leq A_ s, B_ s \le 100$
Explanation of first example
At the age of $25$ Bob
has saved $5$ every year
for $5$ years. This means
he has $25$ saved up.
At the age of $23$ Alice
has saved $10$ every year
for $3$ years. This means
she has $30$ saved up,
which is strictly more than $25$.
| Sample Input 1 | Sample Output 1 |
|---|---|
20 25 5 20 10 |
23 |
| Sample Input 2 | Sample Output 2 |
|---|---|
20 28 5 30 9 |
35 |
