You are given an integer n. There is a complete binary tree with 2n - 1 nodes. The root of that tree is the node with the value 1, and every node with a value val in the range [1, 2n - 1 - 1] has two children where:
2 * val, and2 * val + 1.You are also given a 2D integer array queries of length m, where queries[i] = [ai, bi]. For each query, solve the following problem:
ai and bi.ai and bi.Note that:
\n\nReturn an array answer of length m where answer[i] is the answer to the ith query.
\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/10/25/bexample1.png\")
\n\nInput: n = 3, queries = [[5,3],[4,7],[2,3]]\nOutput: [4,5,3]\nExplanation: The diagrams above show the tree of 23 - 1 nodes. Nodes colored in red describe the nodes in the cycle after adding the edge.\n- After adding the edge between nodes 3 and 5, the graph contains a cycle of nodes [5,2,1,3]. Thus answer to the first query is 4. We delete the added edge and process the next query.\n- After adding the edge between nodes 4 and 7, the graph contains a cycle of nodes [4,2,1,3,7]. Thus answer to the second query is 5. We delete the added edge and process the next query.\n- After adding the edge between nodes 2 and 3, the graph contains a cycle of nodes [2,1,3]. Thus answer to the third query is 3. We delete the added edge.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/10/25/aexample2.png\")
\n\nInput: n = 2, queries = [[1,2]]\nOutput: [2]\nExplanation: The diagram above shows the tree of 22 - 1 nodes. Nodes colored in red describe the nodes in the cycle after adding the edge.\n- After adding the edge between nodes 1 and 2, the graph contains a cycle of nodes [2,1]. Thus answer for the first query is 2. We delete the added edge.\n\n\n
\n
Constraints:
\n\n2 <= n <= 30m == queries.length1 <= m <= 105queries[i].length == 21 <= ai, bi <= 2n - 1ai != biCompiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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