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# 558.Quad Tree Intersection

558.Quad Tree Intersection

A:
+-------+-------+ T: true
| | | F: false
| T | T |
| | |
+-------+-------+
| | |
| F | F |
| | |
+-------+-------+
topLeft: T
topRight: T
bottomLeft: F
bottomRight: F
B:
+-------+---+---+
| | F | F |
| T +---+---+
| | T | T |
+-------+---+---+
| | |
| T | F |
| | |
+-------+-------+
topLeft: T
topRight:
topLeft: F
topRight: F
bottomLeft: T
bottomRight: T
bottomLeft: T
bottomRight: F

A: B: C (A or B):
+-------+-------+ +-------+---+---+ +-------+-------+
| | | | | F | F | | | |
| T | T | | T +---+---+ | T | T |
| | | | | T | T | | | |
+-------+-------+ +-------+---+---+ +-------+-------+
| | | | | | | | |
| F | F | | T | F | | T | F |
| | | | | | | | |
+-------+-------+ +-------+-------+ +-------+-------+

A 和 B 都表示大小为 N * N 的网格。 N 将确保是 2 的整次幂。 如果你想了解更多关于四叉树的知识，你可以参考这个 wiki 页面。 逻辑或的定义如下：如果 A 为 True ，或者 B 为 True ，或者 A 和 B 都为 True，则 "A 或 B" 为 True。

/*
// Definition for a QuadTree node.
class Node {
public:
bool val;
bool isLeaf;
Node* topLeft;
Node* topRight;
Node* bottomLeft;
Node* bottomRight;
Node() {}
Node(bool _val, bool _isLeaf, Node* _topLeft, Node* _topRight, Node* _bottomLeft, Node* _bottomRight) {
val = _val;
isLeaf = _isLeaf;
topLeft = _topLeft;
topRight = _topRight;
bottomLeft = _bottomLeft;
bottomRight = _bottomRight;
}
};
*/
class Solution {
public:
Node* intersect(Node* quadTree1, Node* quadTree2) {
if(quadTree1->isLeaf) return quadTree1->val ? quadTree1 : quadTree2;
if(quadTree2->isLeaf) return quadTree2->val ? quadTree2 : quadTree1;
Node* topL = intersect(quadTree1->topLeft, quadTree2->topLeft);
Node* topR = intersect(quadTree1->topRight, quadTree2->topRight) ;
Node* bottomL = intersect(quadTree1->bottomLeft, quadTree2->bottomLeft);
Node* bottomR = intersect(quadTree1->bottomRight, quadTree2->bottomRight) ;
if(topL->isLeaf && topR->isLeaf && bottomL->isLeaf && bottomR->isLeaf && topL->val == topR->val && topL->val ==bottomL->val && topL->val == bottomR->val ) return new Node(topL->val , true, NULL, NULL, NULL,NULL);
return new Node(false, false, topL, topR, bottomL, bottomR);
}
};

Last modified 1yr ago