There are some points in an XY coordinate system. We use the array coordinates to record their coordinates separately, where coordinates[i] = [x, y] represents the point with the abscissa as x and the ordinate as y.
Please judge whether these points are on the same straight line in the coordinate system. If yes, return true, otherwise, return false.
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
prompt:
2 <= coordinates.length <= 1000
coordinates[i].length == 2
-10^4 <= coordinates[i][0], coordinates[i][1] <= 10^4
coordinates 中不含重复的点
Source: LeetCode (LeetCode)
Link: https://leetcode-cn.com/problems/check-if-it-is-a-straight-line
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class Solution {
public boolean checkStraightLine(int[][] coordinates) {
int len = coordinates.length;
if(len < 2) return true;
//(y2 - y1) / (x2 - x1) == (y3 - y2) / (x3 - x2)
//(y2 - y1) * (x3 - x2) == (y3 - y2) * (x2 - x1)
for(int i = 1; i < len -1 ; i++){
int dx = coordinates[i][0] - coordinates[i-1][0];
int dy = coordinates[i][1] - coordinates[i-1][1];
int dx2 = coordinates[i+1][0] - coordinates[i][0];
int dy2 = coordinates[i+1][1] - coordinates[i][1];
if(1.0 * dy * dx2 != 1.0 * dy2 * dx) return false;
}
return true;
}
}