What does 'Check if Two Chessboard Squares Have the Same Color' mean in code terms?

It means converting each coordinate to numeric row and column, summing them, and comparing the parity to decide if the squares share the same color.

Can this approach handle any valid chessboard coordinates?

Yes, as long as the inputs are in the range 'a'-'h' for columns and '1'-'8' for rows, the parity method works reliably.

Why is modulo 2 used in this problem?

Because the color alternates every square, so the sum of row and column being even or odd directly determines black or white.

Is this solution efficient for multiple queries?

Yes, each check is O(1), so multiple coordinate pairs can be processed quickly without iterating the board.

What are common mistakes to avoid?

Mixing up row and column mapping, forgetting to convert letters to numbers, and skipping the modulo operation are frequent errors.

#3274

Easy

auto_awesome数学·string

LeetCode 题解工作台

检查棋盘方格颜色是否相同

给你两个字符串 coordinate1 和 coordinate2 ，代表 8 x 8 国际象棋棋盘上的两个方格的坐标。以下是棋盘的参考图。如果这两个方格颜色相同，返回 true ，否则返回 false 。坐标总是表示有效的棋盘方格。坐标的格式总是先字母（表示列），再数字（表示行）。示例 1…

数学字符串

题目描述

给你两个字符串 coordinate1 和 coordinate2，代表 8 x 8 国际象棋棋盘上的两个方格的坐标。

以下是棋盘的参考图。

如果这两个方格颜色相同，返回 true，否则返回 false。

坐标总是表示有效的棋盘方格。坐标的格式总是先字母（表示列），再数字（表示行）。

示例 1：

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

输出： true

解释：

两个方格均为黑色。

示例 2：

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

输出： false

解释：

方格 "a1" 是黑色，而 "h3" 是白色。

提示：

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

lightbulb

解题思路

方法一：数学

我们计算两个坐标的横纵坐标的差值，如果两个坐标的横纵坐标的差值之和为偶数，那么这两个坐标的方格颜色相同，否则不同。

时间复杂度 $O(1)$ ，空间复杂度 $O(1)$ 。

1

2

3

4

5

6

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

speed

复杂度分析

指标	值
时间	Depends on the final approach
空间	Depends on the final approach

psychology

面试官常问的追问

外企场景

question_mark
Checks if you understand mapping characters to numbers for arithmetic checks.
question_mark
Tests ability to combine string parsing with modular arithmetic.
question_mark
Observes if you optimize for O(1) rather than iterating the board.

warning

常见陷阱

外企场景

error
Confusing row and column indices when converting letters to numbers.
error
Forgetting to apply modulo 2, leading to incorrect color comparisons.
error
Assuming a fixed board starting color without verifying the coordinate sums.

swap_horiz

进阶变体

外企场景

arrow_right_alt
Determine if multiple pairs of squares all share the same color efficiently.
arrow_right_alt
Check the color difference for a variable-sized chessboard using the same parity logic.
arrow_right_alt
Return the color ('black' or 'white') instead of a boolean to generalize the solution.

help

常见问题

外企场景

继续练习

#3280 将日期转换为二进制表示 #3260 找出最大的 N 位 K 回文数 #3227 字符串元音游戏