Problem: Changing Tiles

Haralambi has some savings that he wants to use to change the tiles on the bathroom floor. The floor is rectangular, and the tiles are triangular. Write a program that calculates if his savings will be sufficient. Read from the console the width and length of the floor, as well as one of the sides of the triangle with its height towards it. We must calculate how many tiles are needed, in order to cover the floor. The number of tiles must be rounded up to the higher integer and 5 more tiles must be added as spare tiles. Also read from the consolethe price per tile and the amount paid for the work of a workman.

Input Data

The following 7 rows must be read from the console:

  • Savings.
  • Floor width.
  • Floor length.
  • Side of the rectangle.
  • Height of the rectangle.
  • Price of a tile.
  • Fee to be paid to the workman.

All numbers must be real numbers within the range [0.00 … 5000.00].

Output Data

The following must be printed in the console in one row:

  • If the money is sufficient:
    • “{Remaining funds} lv left.”
  • If the money IS NOT sufficient:
    • “You'll need {Insufficient funds} lv more.”

The result must be formatted up to the second symbol after the decimal point.

Sample Input and Output

Input Output Comments
500
3
2.5
0.5
0.7
7.80
100
25.60 lv left. Floor area → 3 * 2.5 = 7.5
Tile area → 0.5 * 0.7 / 2 = 0.175
Needed tiles → 7.5 / 0.175 = 42.857… = 43 + 5 spare tiles = 48
Total amount → 48 * 7.8 + 100 (workman) = 474.4
474.4 < 50025.60 lv left
Input Output Comments
1000
5.55
8.95
0.90
0.85
13.99
321
You'll need 1209.65 lv more. Floor area → 5.55 * 8.95 = 49.67249
Tile area → 0.9 * 0.85 / 2 = 0.3825
Needed tiles → 49.67249 / 0.3825 = 129.86… = 130 + 5 spare tiles = 135
Total amount → 135 13.99 + 321 (workman) = 2209.65
2209.65 > 1000*1209.65 lv are insufficient

Tips and Tricks

The following task requires our problem to accept more input data and to perform a larger number of calculations, despite the fact that the solution is identical. Accepting the input data is done in the familiar way. Pay attention that the Input part of the condition states that all input data must be in real numbers, and for that reason we would use decimal type.

Now that we already have everything we need in order to execute the programming logic, we can move to the following part. How can we calculate what is the needed number of tiles that will be sufficient to cover the entire floor? The requirement is that tiles have triangular shape, which can cause confusion, but practically, the task needs just simple calculations. We can calculate the common part of the floor by the formula for finding rectangle area, as well as the area of a single tile using the relevant formula for triangle area.

In order to calculate the number of tiles that are needed, we divide the floor area by the area of a single tile (we should not forget to add the 5 additional tiles, that were mentioned in the requirements).

Pay attention that the requirements state that we should round up the number of tiles, received upon the division, up to the higher number, and then we should add 5. Find more information about the system functionality that does that: Math.Ceiling(…).

We can find the end result by calculating the total amount that is needed to cover the entire floor, by summing up the tile price and the price that will be paid to the workman, that we have from the input data. We can figure out that the total costs for tiles can be calculated by multiplying the number of tiles by the price per tile. We fill find out whether the amount that we have will be sufficient by comparing the savings (based on the input data) and the total costs.

Testing in the Judge System

Test your solution here: https://judge.softuni.bg/Contests/Practice/Index/517#1.

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