# Problem: Pipes in Pool

A pool with **volume V** fills up via **two pipes**. **Each pipe has a certain flow rate** (the liters of water, flowing through a pipe for an hour). A worker starts the pipes simultaneously and goes out for **N hours**. Write a program that finds the state of the pool **the moment the worker comes back**.

## Input Data

**Four lines** are read from the console:

- The first line contains a number
**V – the volume of the pool in liters**– an integer in the range of [**1 … 10000**]. - The second line contains a number
**P1 – the flow rate of the first pipe per hour**– an integer in the range of [**1 … 5000**]. - The third line contains a number
**P2 – the flow rate of the second pipe per hour**– an integer in the range of [**1 … 5000**]. - The fourth line contains a number
**H – the hours that the worker is absent**– a floating-point number in the range of [**1.0 … 24.00**].

## Output Data

Print on the console **one of the two possible states**:

- To what extent the pool has filled up and how many percent each pipe has contributed with. All percent values must be formatted to an integer (without rounding).
- "The pool is
**[x]**% full. Pipe 1:**[y]**%. Pipe 2:**[z]**%."

- "The pool is
- If the pool has overflown – with how many liters it has overflown for the given time – a floating-point number.
- "For
**[x]**hours the pool overflows with**[y]**liters."

- "For

**Have in mind** that due to **the rounding to an integer**, there is **data loss** and it is normal **the sum of the percents to be 99%, not 100%**.

## Sample Input and Output

Input | Output | Input | Output |
---|---|---|---|

1000 100 120 3 |
The pool is 66% full. Pipe 1: 45%. Pipe2: 54%. | 100 100 100 2.5 |
For 2.5 hours the pool overflows with 400 liters. |

## Hints and Guidelines

In order to solve the task, we read the input data, write a few conditional statements, do some calculations and print the result.

### Processing the Input Data

From the task requirements we note that our program must have **four lines** from which we read **the input data**. The first **three** consist of **integers** and that is why the **variables** that will store their values will be of ** int** type. We know that the

**fourth**line will be a

**floating-point number**, therefore, the variable we use will be of

**type.**

`double`

Out next step is to **declare and initialize** a variable in which we are going to calculate with how many **liters** the pool has **filled up** for the time the worker was **absent**. We do the calculations by **summing** the values of the flow rates of the **two pipes** and **multiplying** them by the **hours** that are given as input data.

### Checking the Conditions and Processing Output Data

After we have **the value of the quantity** of water that has flown through the **pipes**, the next step is to **compare** that quantity with the volume of the pool itself.

We do that with a simple ** if-else** statement, where the condition will be whether

**the quantity of water is less than the volume of the pool**. If the statement returns

**, we have to print**

`true`

**one**line that contains

**the ratio**between the quantity of

**water that has flown through the pipes**and

**the volume of the pool**, as well as the

**ratio of the quantity of the water**from

**each pipe**to the

**volume of the pool**.

The ratio has to be in **percentage**, that is why all the calculations so far will be **multiplied by 100**. The values will be inserted with **placeholders**, and as there is a condition **the result in percentage** to be formatted to **two digits** after **the decimal** point **without rounding**, we will use the method ** Math.Truncate(…)**.

However, if **the condition** returns ** false**, that means that

**the quantity of water**is

**more**than the

**volume**of the pool, therefore, it has

**overflown**. Again, the output data has to be on

**one line**, but this time it should contain only

**two values**– the one of the

**hours**when the worker was absent, and the

**quantity of water**, which is the

**difference**between

**the incoming water**and

**the volume of the pool**.

## Testing in the Judge System

Test your solution here: https://judge.softuni.org/Contests/Practice/Index/507#1.