Tree substructure
Enter two binary trees A and B to determine whether B is a substructure of A. (It is agreed that an empty tree is not a substructure of any tree)
B is a substructure of A, that is, A has the same structure and node value as B.
For example:
given tree A:
3
/ \
4 5
/ \
1 2
Given tree B:
4
/
1
Returns true because a subtree of B and A has the same structure and node values.
Example 1:
Input: A = [1,2,3], B = [3,1]
Output: false
Example 2:
Input: A = [3,4,5,1,2], B = [4,1]
Output: true
limit:
0 <= number of nodes <= 10000
analysis
Traverse all the subtrees of A and compare it with the B tree.
solution
bool aha(struct TreeNode* A, struct TreeNode* B){
// 如果A节点为空,B不为空,说明此时已经不匹配,返回false
if(A == NULL && B){
return false;
}
// 如果B为空,说明当前节点是空节点,从某处到此的一个分支已经完成了,如果没有false出现,说明这个子树是A的子树
if(B == NULL){
return true;
}
// A与B不等,且B不为空
if(A->val != B->val && B != NULL)
// 此时应该return false,因为当前节点不一定是原始B的根节点,所以不能继续向下判断
return false;
// 如果AB相同,此时可以往下遍历,确保AB的左右子树都相同
if(A->val == B->val){
return aha(A->left, B->left) && aha(A->right, B->right);
}
return false;
}
void dfs_A(struct TreeNode* A, struct TreeNode* B, bool *flag){
// 如果A为空了,不继续往下遍历
if(A == NULL){
return;
}
// A子树与B比较
if(aha(A, B)){
// A, B匹配成功
*flag = true;
return;
}
else{
// 遍历A树,
dfs_A(A->left, B, flag);
dfs_A(A->right, B, flag);
}
}
bool isSubStructure(struct TreeNode* A, struct TreeNode* B){
//代码的鲁棒性,空树,算吗?
if(A == NULL && B == NULL){
return false;
}
// B为NULL,返回false
if(B == NULL)
return false;
bool *flag = malloc(sizeof(bool));
*flag = false;
dfs_A(A,B,flag);
return *flag;
}