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| 1 | +class TrieNode { |
| 2 | + public TrieNode[] children = new TrieNode[2]; |
| 3 | + public int count = 0; |
| 4 | +} |
| 5 | + |
| 6 | +class Trie { |
| 7 | + public void update(int num, int val) { |
| 8 | + TrieNode node = root; |
| 9 | + for (int i = HEIGHT; i >= 0; --i) { |
| 10 | + final int bit = (num >> i) & 1; |
| 11 | + if (node.children[bit] == null) |
| 12 | + node.children[bit] = new TrieNode(); |
| 13 | + node = node.children[bit]; |
| 14 | + node.count += val; |
| 15 | + } |
| 16 | + } |
| 17 | + |
| 18 | + public int query(int num) { |
| 19 | + int ans = 0; |
| 20 | + TrieNode node = root; |
| 21 | + for (int i = HEIGHT; i >= 0; --i) { |
| 22 | + final int bit = (num >> i) & 1; |
| 23 | + final int targetBit = bit ^ 1; |
| 24 | + if (node.children[targetBit] != null && node.children[targetBit].count > 0) { |
| 25 | + ans += 1 << i; |
| 26 | + node = node.children[targetBit]; |
| 27 | + } else { |
| 28 | + node = node.children[targetBit ^ 1]; |
| 29 | + } |
| 30 | + } |
| 31 | + return ans; |
| 32 | + } |
| 33 | + |
| 34 | + private static final int HEIGHT = 17; |
| 35 | + TrieNode root = new TrieNode(); |
| 36 | +} |
| 37 | + |
| 38 | +class Solution { |
| 39 | + public int[] maxGeneticDifference(int[] parents, int[][] queries) { |
| 40 | + final int n = parents.length; |
| 41 | + int[] ans = new int[queries.length]; |
| 42 | + int rootVal = -1; |
| 43 | + List<Integer>[] tree = new List[n]; |
| 44 | + |
| 45 | + for (int i = 0; i < n; ++i) |
| 46 | + tree[i] = new ArrayList<>(); |
| 47 | + |
| 48 | + // {node: (index, val)} |
| 49 | + Map<Integer, List<Pair<Integer, Integer>>> nodeToQueries = new HashMap<>(); |
| 50 | + Trie trie = new Trie(); |
| 51 | + |
| 52 | + for (int i = 0; i < parents.length; ++i) |
| 53 | + if (parents[i] == -1) |
| 54 | + rootVal = i; |
| 55 | + else |
| 56 | + tree[parents[i]].add(i); |
| 57 | + |
| 58 | + for (int i = 0; i < queries.length; ++i) { |
| 59 | + final int node = queries[i][0]; |
| 60 | + final int val = queries[i][1]; |
| 61 | + nodeToQueries.putIfAbsent(node, new ArrayList<>()); |
| 62 | + nodeToQueries.get(node).add(new Pair<>(i, val)); |
| 63 | + } |
| 64 | + |
| 65 | + dfs(rootVal, trie, tree, nodeToQueries, ans); |
| 66 | + return ans; |
| 67 | + } |
| 68 | + |
| 69 | + private void dfs(int node, Trie trie, List<Integer>[] tree, |
| 70 | + Map<Integer, List<Pair<Integer, Integer>>> nodeToQueries, int[] ans) { |
| 71 | + trie.update(node, 1); |
| 72 | + |
| 73 | + if (nodeToQueries.containsKey(node)) |
| 74 | + for (Pair<Integer, Integer> query : nodeToQueries.get(node)) { |
| 75 | + final int i = query.getKey(); |
| 76 | + final int val = query.getValue(); |
| 77 | + ans[i] = trie.query(val); |
| 78 | + } |
| 79 | + |
| 80 | + for (final int child : tree[node]) |
| 81 | + dfs(child, trie, tree, nodeToQueries, ans); |
| 82 | + |
| 83 | + trie.update(node, -1); |
| 84 | + } |
| 85 | +} |
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