Leetcode 1232. Check If It Is a Straight Line

2021-03-02 16:21:05 浏览数 (1)

文章作者:Tyan 博客:noahsnail.com | CSDN | 简书

1. Description

2. Solution

解析:直线的表示,可以用斜率式,也可以用两点式,Version 1是斜率式,Version 2是两点式。

  • Version 1
代码语言:javascript复制
class Solution:
    def checkStraightLine(self, coordinates):
        diff_x = coordinates[-1][0] - coordinates[0][0]
        if diff_x == 0:
            for i in range(len(coordinates)):
                if coordinates[i][0] != coordinates[0][0]:
                    return False
            return True

        slope = (coordinates[-1][1] - coordinates[0][1]) / diff_x
        for i in range(len(coordinates) - 1):
            point1 = coordinates[i]
            point2 = coordinates[i   1]
            if point2[0] - point1[0] == 0:
                return False
            ratio = (point2[1] - point1[1]) / (point2[0] - point1[0])
            if slope != ratio:
                return False

        return True
  • Version 2
代码语言:javascript复制
class Solution:
    def checkStraightLine(self, coordinates):
        x1 = coordinates[0][0]
        y1 = coordinates[0][0]
        x2 = coordinates[-1][0]
        y2 = coordinates[-1][0]

        for i in range(1, len(coordinates) - 1):
            x = coordinates[i][0]
            y = coordinates[i][1]
            if (y - y1)(x2 - x1) != (x - x1)(y2 - y1):
                return False

        return True

Reference

  1. https://leetcode.com/problems/check-if-it-is-a-straight-line/

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