README.md

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

Constraints:

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

Solutions (Rust)

1. Linear Equation

impl Solution {
    pub fn check_straight_line(coordinates: Vec<Vec<i32>>) -> bool {
        let x0 = &coordinates[0][0];
        let y0 = &coordinates[0][1];
        let x1 = &coordinates[1][0];
        let y1 = &coordinates[1][1];

        for point in &coordinates[2..] {
            let x = point[0];
            let y = point[1];

            if (y - y0) * (x1 - x0) != (x - x0) * (y1 - y0) {
                return false;
            }
        }

        true
    }
}