|
| 1 | +// Time: O(n) |
| 2 | +// Space: O(h) |
| 3 | + |
| 4 | +/** |
| 5 | + * Definition for a binary tree node. |
| 6 | + * struct TreeNode { |
| 7 | + * int val; |
| 8 | + * TreeNode *left; |
| 9 | + * TreeNode *right; |
| 10 | + * TreeNode(int x) : val(x), left(NULL), right(NULL) {} |
| 11 | + * }; |
| 12 | + */ |
| 13 | +class Solution { |
| 14 | +public: |
| 15 | + TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) { |
| 16 | + return iter_dfs(root, p, q); |
| 17 | + } |
| 18 | + |
| 19 | +private: |
| 20 | + TreeNode *iter_dfs(TreeNode* node, TreeNode* p, TreeNode* q) { |
| 21 | + TreeNode *result = nullptr; |
| 22 | + int ret = 0; |
| 23 | + vector<tuple<int, TreeNode *, unique_ptr<int>, unique_ptr<int>, int*>> stk; |
| 24 | + stk.emplace_back(1, node, nullptr, nullptr, &ret); |
| 25 | + while (!empty(stk)) { |
| 26 | + const auto [step, node, ret1, ret2, ret] = move(stk.back()); stk.pop_back(); |
| 27 | + if (step == 1) { |
| 28 | + if (!node) { |
| 29 | + continue; |
| 30 | + } |
| 31 | + auto ret1 = make_unique<int>(), ret2 = make_unique<int>(); |
| 32 | + auto p1 = ret1.get(), p2 = ret2.get(); |
| 33 | + stk.emplace_back(2, node, move(ret1), move(ret2), ret); |
| 34 | + stk.emplace_back(1, node->right, nullptr, nullptr, p2); |
| 35 | + stk.emplace_back(1, node->left, nullptr, nullptr, p1); |
| 36 | + } else if (step == 2) { |
| 37 | + auto curr = int(node == p || node == q); |
| 38 | + if (curr + *ret1 + *ret2 == 2 && !result) { |
| 39 | + result = node; |
| 40 | + } |
| 41 | + *ret = curr + *ret1 + *ret2; |
| 42 | + } |
| 43 | + } |
| 44 | + return result; |
| 45 | + } |
| 46 | +}; |
| 47 | + |
| 48 | +// Time: O(n) |
| 49 | +// Space: O(h) |
| 50 | +class Solution2 { |
| 51 | +public: |
| 52 | + TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) { |
| 53 | + TreeNode *result = nullptr; |
| 54 | + dfs(root, p, q, &result); |
| 55 | + return result; |
| 56 | + } |
| 57 | + |
| 58 | +private: |
| 59 | + int dfs(TreeNode* node, TreeNode* p, TreeNode* q, TreeNode** result) { |
| 60 | + if (!node) { |
| 61 | + return 0; |
| 62 | + } |
| 63 | + auto left = dfs(node->left, p, q, result); |
| 64 | + auto right = dfs(node->right, p, q, result); |
| 65 | + auto curr = int(node == p || node == q); |
| 66 | + if (curr + left + right == 2 && !(*result)) { |
| 67 | + *result = node; |
| 68 | + } |
| 69 | + return curr + left + right; |
| 70 | + } |
| 71 | +}; |
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