Problem Statement-

This problem is taken from codechef December long challenge.Let's read Problems statement.

Increasing COVID cases have created panic amongst the people of Chefland, so the government is starting to push for production of a vaccine. It has to report to the media about the exact date when vaccines will be available.

There are two companies which are producing vaccines for COVID. Company A starts producing vaccines on day ${D}_{1}$ and it can produce ${V}_{1}$ vaccines per day. Company B starts producing vaccines on day ${D}_{2}$ and it can produce ${V}_{2}$ vaccines per day. Currently, we are on day $1$.

We need a total of $P$ vaccines. How many days are required to produce enough vaccines? Formally, find the smallest integer $d$ such that we have enough vaccines at the end of the day $d$.

Input

• The first and only line of the input contains five space-separated integers ${D}_{1}$${V}_{1}$${D}_{2}$${V}_{2}$ and $P$.

Output

Print a single line containing one integer ― the smallest required number of days.

Constraints

• $1\le {D}_{1},{V}_{1},{D}_{2},{V}_{2}\le 100$
• $1\le P\le 1,000$

Subtask #1 (30 points): ${D}_{1}={D}_{2}=1$

Subtask #2 (70 points): original constraints

Example Input 1

1 2 1 3 14


Example Output 1

3


Explanation

Since ${D}_{1}={D}_{2}=1$, we can produce ${V}_{1}+{V}_{2}=5$ vaccines per day. In $3$ days, we produce $15$ vaccines, which satisfies our requirement of $14$ vaccines.

Example Input 2

5 4 2 10 100


Example Output 2

9


Explanation

There are $0$ vaccines produced on the first day, $10$ vaccines produced on each of days $2$$3$ and $4$, and $14$ vaccines produced on the fifth and each subsequent day. In $9$ days, it makes a total of $0+10\cdot 3+14\cdot 5=100$ vaccines.

Solution -

Hint- This Problem can be solved using brute force approach.

THis is very easy and it can be solved using the brute force approach .
You can refer my code below.
Join Telegram Channel for solution.

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