Chapter 4.4, Problem 18SC

Program Plan Intro

Given algorithm:

Step 1 – Compute the number of pairs.

$\text{number of pairs = integer part of }\left(\text{totalWidth – tileWidth}\right)\text{ / }\left(\text{ 2 * tileWidth}\right)$

Step 2 – Compute the number of tiles.

$\text{number of tiles = 1 + 2 * number of pairs}$

Step 3 – Compute the gap at each end of the tile.

$\text{gap at each end = }\left(\text{totalWidth – numberoftiles * tileWidth}\right)\text{ / 2}$

Explanation:

In the first step, the number of pairs is calculated by subtracting tileWidth from totalWidth and dividing this value from the value obtained by multiplying tileWidth by 2.

In the second step, the number of tiles is calculated by adding 1 with the value obtained by multiplying number of pairs with 2. In the third step, gap at each end is calculated by subtracting totalWidth from numberoftiles and then multiplying this value with tileWidth and then dividing the whole value by 2.