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Java-based LeetCode algorithm problem solutions, regularly updated
package g0501_0600.s0593_valid_square;
// #Medium #Math #Geometry #2022_08_25_Time_1_ms_(97.24%)_Space_42.7_MB_(17.00%)
import java.util.Arrays;
/**
* 593 - Valid Square\.
*
* Medium
*
* Given the coordinates of four points in 2D space `p1`, `p2`, `p3` and `p4`, return `true` _if the four points construct a square_.
*
* The coordinate of a point pi
is represented as [xi, yi]
. The input is **not** given in any order.
*
* A **valid square** has four equal sides with positive length and four equal angles (90-degree angles).
*
* **Example 1:**
*
* **Input:** p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1]
*
* **Output:** true
*
* **Example 2:**
*
* **Input:** p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,12]
*
* **Output:** false
*
* **Example 3:**
*
* **Input:** p1 = [1,0], p2 = [-1,0], p3 = [0,1], p4 = [0,-1]
*
* **Output:** true
*
* **Constraints:**
*
* * `p1.length == p2.length == p3.length == p4.length == 2`
* * -104 <= xi, yi <= 104
**/
public class Solution {
public boolean validSquare(int[] p1, int[] p2, int[] p3, int[] p4) {
int[] distancesSquared = new int[6];
distancesSquared[0] = getDistanceSquared(p1, p2);
distancesSquared[1] = getDistanceSquared(p1, p3);
distancesSquared[2] = getDistanceSquared(p1, p4);
distancesSquared[3] = getDistanceSquared(p2, p3);
distancesSquared[4] = getDistanceSquared(p2, p4);
distancesSquared[5] = getDistanceSquared(p3, p4);
Arrays.sort(distancesSquared);
if (distancesSquared[0] == 0) {
return false;
}
if (distancesSquared[0] != distancesSquared[3]) {
return false;
}
if (distancesSquared[4] != distancesSquared[5]) {
return false;
}
return distancesSquared[5] == 2 * distancesSquared[0];
}
private int getDistanceSquared(int[] p1, int[] p2) {
int deltaX = p2[0] - p1[0];
int deltaY = p2[1] - p1[1];
return deltaX * deltaX + deltaY * deltaY;
}
}
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