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1110. Delete Nodes And Return Forest.md

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Given the root of a binary tree, each node in the tree has a distinct value.

After deleting all nodes with a value in to_delete, we are left with a forest (a disjoint union of trees).

Return the roots of the trees in the remaining forest. You may return the result in any order.

Example 1:

Example1

Input: root = [1,2,3,4,5,6,7], to_delete = [3,5]
Output: [[1,2,null,4],[6],[7]]

Constraints:

  • The number of nodes in the given tree is at most 1000.
  • Each node has a distinct value between 1 and 1000.
  • to_delete.length <= 1000
  • to_delete contains distinct values between 1 and 1000.

Solution

  • java
    • mine

      DFS Runtime: 1 ms, faster than 98.74%, Memory Usage: 39.8 MB, less than 100.00% of Java online submissions

      //O(N + N*D)time  O(N-D)space
      public List<TreeNode> delNodes(TreeNode root, int[] to_delete) {
          List<TreeNode> res = new ArrayList<>();
          dfs(root, to_delete, res, true);
          return res;
      }
      
      public TreeNode dfs(TreeNode node, int[] to_delete, List<TreeNode> res, boolean noParent) {
          if (node == null) {
              return null;
          }
          boolean isDeleteNode = isDeleteNode(node, to_delete);
          node.left = dfs(node.left, to_delete, res, isDeleteNode);
          node.right = dfs(node.right, to_delete, res, isDeleteNode);
          if (isDeleteNode) {
              return null;
          }
          if (noParent) {
              res.add(node);
          }
          return node;
      }
      
      public boolean isDeleteNode(TreeNode node, int[] to_delete) {
          if (node == null) {
              return false;
          }
          for (int delete : to_delete) {
              if (node.val == delete) {
                  return true;
              }
          }
          return false;
      }
      
    • the most votes

      Recursion Runtime: 1 ms, faster than 98.74%, Memory Usage: 40 MB, less than 100.00% of Java online submissions

      //Time O(N) Space O(H + N)
      Set<Integer> to_delete_set;
      List<TreeNode> res;
      public List<TreeNode> delNodes(TreeNode root, int[] to_delete) {
          to_delete_set = new HashSet<>();
          res = new ArrayList<>();
          for (int i : to_delete)
              to_delete_set.add(i);
          helper(root, true);
          return res;
      }
      
      private TreeNode helper(TreeNode node, boolean is_root) {
          if (node == null) return null;
          boolean deleted = to_delete_set.contains(node.val);
          if (is_root && !deleted) res.add(node);
          node.left = helper(node.left, deleted);
          node.right =  helper(node.right, deleted);
          return deleted ? null : node;
      }