public class Solution
extends Object
2201 - Count Artifacts That Can Be Extracted\.
Medium
There is an `n x n` **0-indexed** grid with some artifacts buried in it. You are given the integer `n` and a **0-indexed** 2D integer array `artifacts` describing the positions of the rectangular artifacts where artifacts[i] = [r1i, c1i, r2i, c2i]
denotes that the ith
artifact is buried in the subgrid where:
* (r1i, c1i)
is the coordinate of the **top-left** cell of the ith
artifact and
* (r2i, c2i)
is the coordinate of the **bottom-right** cell of the ith
artifact.
You will excavate some cells of the grid and remove all the mud from them. If the cell has a part of an artifact buried underneath, it will be uncovered. If all the parts of an artifact are uncovered, you can extract it.
Given a **0-indexed** 2D integer array `dig` where dig[i] = [ri, ci]
indicates that you will excavate the cell (ri, ci)
, return _the number of artifacts that you can extract_.
The test cases are generated such that:
* No two artifacts overlap.
* Each artifact only covers at most `4` cells.
* The entries of `dig` are unique.
**Example 1:**

**Input:** n = 2, artifacts = \[\[0,0,0,0],[0,1,1,1]], dig = \[\[0,0],[0,1]]
**Output:** 1
**Explanation:** The different colors represent different artifacts. Excavated cells are labeled with a 'D' in the grid. There is 1 artifact that can be extracted, namely the red artifact. The blue artifact has one part in cell (1,1) which remains uncovered, so we cannot extract it. Thus, we return 1.
**Example 2:**

**Input:** n = 2, artifacts = \[\[0,0,0,0],[0,1,1,1]], dig = \[\[0,0],[0,1],[1,1]]
**Output:** 2
**Explanation:** Both the red and blue artifacts have all parts uncovered (labeled with a 'D') and can be extracted, so we return 2.
**Constraints:**
* `1 <= n <= 1000`
* 1 <= artifacts.length, dig.length <= min(n2, 105)
* `artifacts[i].length == 4`
* `dig[i].length == 2`
* 0 <= r1i, c1i, r2i, c2i, ri, ci <= n - 1
* r1i <= r2i
* c1i <= c2i
* No two artifacts will overlap.
* The number of cells covered by an artifact is **at most** `4`.
* The entries of `dig` are unique.