Solution.java

class Solution {
    public int minimumDistance(int[][] points) {
        TreeMap<Integer, Integer> tm1 = new TreeMap<>();
        TreeMap<Integer, Integer> tm2 = new TreeMap<>();
        for (int[] p : points) {
            int x = p[0], y = p[1];
            tm1.merge(x + y, 1, Integer::sum);
            tm2.merge(x - y, 1, Integer::sum);
        }
        int ans = Integer.MAX_VALUE;
        for (int[] p : points) {
            int x = p[0], y = p[1];
            if (tm1.merge(x + y, -1, Integer::sum) == 0) {
                tm1.remove(x + y);
            }
            if (tm2.merge(x - y, -1, Integer::sum) == 0) {
                tm2.remove(x - y);
            }
            ans = Math.min(
                ans, Math.max(tm1.lastKey() - tm1.firstKey(), tm2.lastKey() - tm2.firstKey()));
            tm1.merge(x + y, 1, Integer::sum);
            tm2.merge(x - y, 1, Integer::sum);
        }
        return ans;
    }
}