# LeetCode 1812. Determine Color of a Chessboard Square

## Description

https://leetcode.com/problems/determine-color-of-a-chessboard-square/

You are given `coordinates`, a string that represents the coordinates of a square of the chessboard. Below is a chessboard for your reference.

Return `true` if the square is white, and `false` if the square is black.

The coordinate will always represent a valid chessboard square. The coordinate will always have the letter first, and the number second.

Example 1:

```Input: coordinates = "a1"
Output: false
Explanation: From the chessboard above, the square with coordinates "a1" is black, so return false.
```

Example 2:

```Input: coordinates = "h3"
Output: true
Explanation: From the chessboard above, the square with coordinates "h3" is white, so return true.
```

Example 3:

```Input: coordinates = "c7"
Output: false
```

Constraints:

• `coordinates.length == 2`
• `'a' <= coordinates <= 'h'`
• `'1' <= coordinates <= '8'`

## Explanation

Find white positions conditions. A white position is at an even column of an odd row or at an odd column of an even row.

## Python Solution

``````class Solution:
def squareIsWhite(self, coordinates: str) -> bool:

position = (int(coordinates) - 1) * 8 + (ord(coordinates) - ord('a')) % 8

is_odd_row = (int(coordinates)) % 2
is_odd_column = (ord(coordinates) - ord('a') + 1) % 2

return (is_odd_row and not is_odd_column) or (not is_odd_row and is_odd_column) ``````
• Time Complexity: O(1).
• Space Complexity: O(1).