Leetcode 1232. Check If It Is a Straight Line

You are given an array coordinates, coordinates[i] = [x, y], where [x, y] represents the coordinate of a point. Check if these points make a straight line in the XY plane. Example 1: Input: coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]], Output: true Example 2: Input: coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]], Output: false

Programming Skills I Easy

Description

You are given an array coordinates, coordinates[i] = [x, y], where [x, y] represents the coordinate of a point. Check if these points make a straight line in the XY plane.

Example 1:

Input: coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]]
Output: true

Example 2:

Input: coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]]
Output: false

Constraints:

• 2 <= coordinates.length <= 1000
• coordinates[i].length == 2
• -10^4 <= coordinates[i][0], coordinates[i][1] <= 10^4
• coordinates contains no duplicate point.

Solution

from typing import List


class Solution:
    # Iteration
    # Time Complexity: BigO(N)
    # Space Complexity: BigO(1)
    def checkStraightLine(self, coordinates: List[List[int]]) -> bool:
        mxd = coordinates[1][0] - coordinates[0][0]
        myd = coordinates[1][1] - coordinates[0][1]

        for i in range(1, len(coordinates) - 1):
            nxd = coordinates[i + 1][0] - coordinates[i][0]
            nyd = coordinates[i + 1][1] - coordinates[i][1]

            if mxd > nxd and myd > nyd:
                try:
                    ckx = mxd / nxd
                    cky = myd / nyd
                    if ckx == cky:
                        mxd = nxd
                        myd = nyd
                        continue
                except ZeroDivisionError:
                    return False
                return False
            elif (mxd == 0 and nxd == 0) or (myd == 0 and nyd == 0):
                continue
            else:
                try:
                    ckx = mxd / nxd
                    cky = myd / nyd
                    if ckx == cky:
                        continue
                except ZeroDivisionError:
                    return False
                return False
        return True

/**
 * Iteration
 * Time Complexity: BigO(N)
 * Space Complexity: BigO(1)
 */
function checkStraightLine(coordinates: number[][]): boolean {
  let mxd = coordinates[1][0] - coordinates[0][0];
  let myd = coordinates[1][1] - coordinates[0][1];

  for (let i = 1; i < coordinates.length - 1; i++) {
    let nxd = coordinates[i + 1][0] - coordinates[i][0];
    let nyd = coordinates[i + 1][1] - coordinates[i][1];

    if (mxd > nxd && myd > nyd) {
      let ckX = mxd / nxd;
      let ckY = myd / nyd;
      if (ckX == ckY) {
        mxd = nxd;
        myd = nyd;
        continue;
      }
      return false;
    } else if ((mxd == 0 && nxd == 0) || (myd == 0 && nyd == 0)) {
      continue;
    } else {
      let ckX = nxd / mxd;
      let ckY = nyd / myd;
      if (ckX == ckY) {
        continue;
      }
      return false;
    }
  }
  return true;
}