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111 changes: 23 additions & 88 deletions src/main/java/com/fishercoder/solutions/_149.java
Original file line number Diff line number Diff line change
@@ -1,95 +1,30 @@
package com.fishercoder.solutions;
**Updated solution** [credits](https://leetcode.com/problems/max-points-on-a-line/discuss/328269/A-Java-solution-with-my-understanding)

import com.fishercoder.common.classes.Point;
import java.util.HashMap;
import java.util.Map;

/**
* 149. Max Points on a Line
*
* Given n points on a 2D plane, find the maximum number of points that lie on the same straight line.
*
* Example 1:
* Input: [[1,1],[2,2],[3,3]]
* Output: 3
* Explanation:
* ^
* |
* | o
* | o
* | o
* +------------->
* 0 1 2 3 4
*
* Example 2:
* Input: [[1,1],[3,2],[5,3],[4,1],[2,3],[1,4]]
* Output: 4
* Explanation:
* ^
* |
* | o
* | o o
* | o
* | o o
* +------------------->
* 0 1 2 3 4 5 6
*
*/
public class _149 {

public static class Solution1 {
/** credit: https://leetcode.com/problems/max-points-on-a-line/discuss/47113/A-java-solution-with-notes */
public int maxPoints(Point[] points) {
if (points == null) {
return 0;
}
if (points.length <= 2) {
return points.length;
}

Map<Integer, Map<Integer, Integer>> map = new HashMap<>();
int result = 0;
for (int i = 0; i < points.length; i++) {
map.clear();
int overlap = 0;
class Solution {
public int maxPoints(int[][] points) {
if(points.length < 3)return points.length;
int max = 0;
for (int j = i + 1; j < points.length; j++) {
int x = points[j].x - points[i].x;
int y = points[j].y - points[i].y;
if (x == 0 && y == 0) {
overlap++;
continue;
}
int gcd = generateGCD(x, y);
if (gcd != 0) {
x /= gcd;
y /= gcd;
}

if (map.containsKey(x)) {
if (map.get(x).containsKey(y)) {
map.get(x).put(y, map.get(x).get(y) + 1);
} else {
map.get(x).put(y, 1);
HashMap<Long, Integer> map = new HashMap<Long, Integer>();
for(int i = 0;i < points.length;i++) {
int dup = 1;
map.clear();
for(int j = i + 1;j < points.length;j++) {
int dx = points[j][0] - points[i][0], dy = points[j][1] - points[i][1];
if(dx == 0 && dy == 0)dup++;
else {
int gcd = getGcd(dx, dy);
long slope = ((long)(dy / gcd) << 32) + (dx / gcd);
map.put(slope, map.getOrDefault(slope, 0) + 1);
}
}
} else {
Map<Integer, Integer> m = new HashMap<>();
m.put(y, 1);
map.put(x, m);
}
max = Math.max(max, map.get(x).get(y));
max = Math.max(max, dup);
for(Map.Entry<Long, Integer> entry : map.entrySet())
max = Math.max(max, entry.getValue() + dup);
}
result = Math.max(result, max + overlap + 1);
}
return result;
return max;
}

private int generateGCD(int a, int b) {
if (b == 0) {
return a;
} else {
return generateGCD(b, a % b);
}

int getGcd(int a, int b) {
return b == 0 ? a : getGcd(b, a % b);
}
}
}