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3274. Check if Two Chessboard Squares Have the Same Color

Description

You are given two strings, coordinate1 and coordinate2, representing the coordinates of a square on an 8 x 8 chessboard.

Below is the chessboard for reference.

Return true if these two squares have the same color and false otherwise.

The coordinate will always represent a valid chessboard square. The coordinate will always have the letter first (indicating its column), and the number second (indicating its row).

 

Example 1:

Input: coordinate1 = "a1", coordinate2 = "c3"

Output: true

Explanation:

Both squares are black.

Example 2:

Input: coordinate1 = "a1", coordinate2 = "h3"

Output: false

Explanation:

Square "a1" is black and "h3" is white.

 

Constraints:

  • coordinate1.length == coordinate2.length == 2
  • 'a' <= coordinate1[0], coordinate2[0] <= 'h'
  • '1' <= coordinate1[1], coordinate2[1] <= '8'

Solutions

Solution 1: Mathematics

We calculate the differences in the x-coordinates and y-coordinates of the two points. If the sum of these differences is even, then the colors of the squares at these two coordinates are the same; otherwise, they are different.

The time complexity is \(O(1)\), and the space complexity is \(O(1)\).

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class Solution:
    def checkTwoChessboards(self, coordinate1: str, coordinate2: str) -> bool:
        x = ord(coordinate1[0]) - ord(coordinate2[0])
        y = int(coordinate1[1]) - int(coordinate2[1])
        return (x + y) % 2 == 0

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class Solution {
    public boolean checkTwoChessboards(String coordinate1, String coordinate2) {
        int x = coordinate1.charAt(0) - coordinate2.charAt(0);
        int y = coordinate1.charAt(1) - coordinate2.charAt(1);
        return (x + y) % 2 == 0;
    }
}

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class Solution {
public:
    bool checkTwoChessboards(string coordinate1, string coordinate2) {
        int x = coordinate1[0] - coordinate2[0];
        int y = coordinate1[1] - coordinate2[1];
        return (x + y) % 2 == 0;
    }
};

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func checkTwoChessboards(coordinate1 string, coordinate2 string) bool {
    x := coordinate1[0] - coordinate2[0]
    y := coordinate1[1] - coordinate2[1]
    return (x+y)%2 == 0
}

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function checkTwoChessboards(coordinate1: string, coordinate2: string): boolean {
    const x = coordinate1.charCodeAt(0) - coordinate2.charCodeAt(0);
    const y = coordinate1.charCodeAt(1) - coordinate2.charCodeAt(1);
    return (x + y) % 2 === 0;
}

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