coordinate in 1d array

Explanation of Storing 2D Coordinates in a 1D Array in C++

To store 2D coordinates in a 1D array in C++, you can use the formula index = y * width + x. Here's a step-by-step explanation:

1. Calculate the Index: Given a 2D coordinate (x, y) and the width of the 2D space, you can calculate the index in the 1D array using the formula index = y * width + x.

2. Understand the Formula: The formula index = y * width + x takes into account the row (y) and the column (x) of the 2D coordinate and maps it to a unique index in the 1D array.

3. Example: For example, if you have a 2D array with a width of 5 and you want to store the coordinate (3, 2) in a 1D array, you would calculate the index as index = 2 * 5 + 3, which results in index = 13.

4. Accessing the 1D Array: Once you have stored the 2D coordinates in the 1D array using the calculated index, you can access the elements of the 1D array based on their 2D coordinates by using the formula index = y * width + x to retrieve the index and access the corresponding element.

By using this method, you can efficiently store and access 2D coordinates in a 1D array in C++.