You are given a 2D integer array points, where points[i] = [xi, yi] represents the coordinates of the ith point on the Cartesian plane.
The Manhattan distance between two points points[i] = [xi, yi] and points[j] = [xj, yj] is |xi - xj| + |yi - yj|.
Split the n points into exactly two non-empty groups. The partition factor of a split is the minimum Manhattan distance among all unordered pairs of points that lie in the same group.
Return the maximum possible partition factor over all valid splits.
\n\nNote: A group of size 1 contributes no intra-group pairs. When n = 2 (both groups size 1), there are no intra-group pairs, so define the partition factor as 0.
\n
Example 1:
\n\nInput: points = [[0,0],[0,2],[2,0],[2,2]]
\n\nOutput: 4
\n\nExplanation:
\n\nWe split the points into two groups: {[0, 0], [2, 2]} and {[0, 2], [2, 0]}.
In the first group, the only pair has Manhattan distance |0 - 2| + |0 - 2| = 4.
In the second group, the only pair also has Manhattan distance |0 - 2| + |2 - 0| = 4.
The partition factor of this split is min(4, 4) = 4, which is maximal.
Example 2:
\n\nInput: points = [[0,0],[0,1],[10,0]]
\n\nOutput: 11
\n\nExplanation:
\n\nWe split the points into two groups: {[0, 1], [10, 0]} and {[0, 0]}.
In the first group, the only pair has Manhattan distance |0 - 10| + |1 - 0| = 11.
The second group is a singleton, so it contributes no pairs.
\n\tThe partition factor of this split is 11, which is maximal.
\n
Constraints:
\n\n2 <= points.length <= 500points[i] = [xi, yi]-108 <= xi, yi <= 108给你一个二维整数数组 points，其中 points[i] = [xi, yi] 表示笛卡尔平面上第 i 个点的坐标。
两个点 points[i] = [xi, yi] 和 points[j] = [xj, yj] 之间的 曼哈顿距离 是 |xi - xj| + |yi - yj|。
将这 n 个点分成 恰好两个非空 的组。一个划分的 划分因子 是位于同一组内的所有无序点对之间 最小 的曼哈顿距离。
返回所有有效划分中 最大 可能的 划分因子 。
\n\n注意: 大小为 1 的组不存在任何组内点对。当 n = 2 时（两个组大小都为 1），没有组内点对，划分因子为 0。
\n\n
示例 1:
\n\n输入: points = [[0,0],[0,2],[2,0],[2,2]]
\n\n输出: 4
\n\n解释:
\n\n我们将点分成两组： {[0, 0], [2, 2]} 和 {[0, 2], [2, 0]}。
在第一组中，唯一的点对之间的曼哈顿距离是 |0 - 2| + |0 - 2| = 4。
在第二组中，唯一的点对之间的曼哈顿距离也是 |0 - 2| + |2 - 0| = 4。
此划分的划分因子是 min(4, 4) = 4，这是最大值。
示例 2:
\n\n输入: points = [[0,0],[0,1],[10,0]]
\n\n输出: 11
\n\n解释:
\n\n我们将点分成两组： {[0, 1], [10, 0]} 和 {[0, 0]}。
在第一组中，唯一的点对之间的曼哈顿距离是 |0 - 10| + |1 - 0| = 11。
第二组是单元素组，因此不存在任何点对。
\n\t此划分的划分因子是 11，这是最大值。
\n\n
提示:
\n\n2 <= points.length <= 500points[i] = [xi, yi]-108 <= xi, yi <= 108D to maximize it",
"For a candidate D, add an edge between points i and j iff Manhattan(i,j) < D (they must be in different groups)",
"Check whether the resulting graph is bipartite"
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