|
| 1 | +/* |
| 2 | +
|
| 3 | + -* Add One Row to Tree *- |
| 4 | +
|
| 5 | +Given the root of a binary tree and two integers val and depth, add a row of nodes with value val at the given depth depth. |
| 6 | +
|
| 7 | +Note that the root node is at depth 1. |
| 8 | +
|
| 9 | +The adding rule is: |
| 10 | +
|
| 11 | +Given the integer depth, for each not null tree node cur at the depth depth - 1, create two tree nodes with value val as cur's left subtree root and right subtree root. |
| 12 | +cur's original left subtree should be the left subtree of the new left subtree root. |
| 13 | +cur's original right subtree should be the right subtree of the new right subtree root. |
| 14 | +If depth == 1 that means there is no depth depth - 1 at all, then create a tree node with value val as the new root of the whole original tree, and the original tree is the new root's left subtree. |
| 15 | +
|
| 16 | +
|
| 17 | +Example 1: |
| 18 | +
|
| 19 | +
|
| 20 | +Input: root = [4,2,6,3,1,5], val = 1, depth = 2 |
| 21 | +Output: [4,1,1,2,null,null,6,3,1,5] |
| 22 | +Example 2: |
| 23 | +
|
| 24 | +
|
| 25 | +Input: root = [4,2,null,3,1], val = 1, depth = 3 |
| 26 | +Output: [4,2,null,1,1,3,null,null,1] |
| 27 | +
|
| 28 | +
|
| 29 | +Constraints: |
| 30 | +
|
| 31 | +The number of nodes in the tree is in the range [1, 104]. |
| 32 | +The depth of the tree is in the range [1, 104]. |
| 33 | +-100 <= Node.val <= 100 |
| 34 | +-105 <= val <= 105 |
| 35 | +1 <= depth <= the depth of tree + 1 |
| 36 | +
|
| 37 | +*/ |
| 38 | + |
| 39 | +// Definition for a binary tree node. |
| 40 | +import 'dart:collection'; |
| 41 | + |
| 42 | +class TreeNode { |
| 43 | + int val; |
| 44 | + TreeNode? left; |
| 45 | + TreeNode? right; |
| 46 | + TreeNode([this.val = 0, this.left, this.right]); |
| 47 | +} |
| 48 | + |
| 49 | +class A { |
| 50 | + // Recursive |
| 51 | +// Runtime: 586 ms, faster than 100.00% of Dart online submissions for Add One Row to Tree. |
| 52 | +// Memory Usage: 146.9 MB, less than 100.00% of Dart online submissions for Add One Row to Tree. |
| 53 | + void walk(TreeNode? root, int val, int depth, int c) { |
| 54 | + // if our root is not null means we have some value to begin with |
| 55 | + if (root != null) { |
| 56 | + if (c == depth - 1) { |
| 57 | + /// creating the temp node to hold the value of our left node |
| 58 | + TreeNode? temp = root.left; |
| 59 | + // left side of the tree will hold the value of the all the tree node |
| 60 | + root.left = TreeNode(val); |
| 61 | + // now will we will assign he value of the far left side of the tree to our temp node |
| 62 | + root.left?.left = temp; |
| 63 | + // swapping the nodes value left to right |
| 64 | + temp = root.right; |
| 65 | + // right side of the node will hold the tree node value |
| 66 | + root.right = TreeNode(val); |
| 67 | + // than we will assign the value of far right side of the tree to the temp node we created |
| 68 | + root.right?.right = temp; |
| 69 | + return; |
| 70 | + } |
| 71 | + // than we will walk the tree left to right with it's depth |
| 72 | + walk(root.left, val, depth, c + 1); |
| 73 | + walk(root.right, val, depth, c + 1); |
| 74 | + } |
| 75 | + } |
| 76 | + |
| 77 | + TreeNode? addOneRow(TreeNode? root, int val, int depth) { |
| 78 | + if (depth == 1) { |
| 79 | + // temp node to hold the value to tree node |
| 80 | + TreeNode? tempNode = TreeNode(val); |
| 81 | + tempNode.left = root; |
| 82 | + return tempNode; |
| 83 | + } |
| 84 | + // walking from the root to each value and depth |
| 85 | + walk(root, val, depth, 1); |
| 86 | + return root; |
| 87 | + } |
| 88 | +} |
| 89 | + |
| 90 | +class B { |
| 91 | + // In Order Traversal |
| 92 | +// Runtime: 736 ms, faster than 100.00% of Dart online submissions for Add One Row to Tree. |
| 93 | +// Memory Usage: 147.4 MB, less than 100.00% of Dart online submissions for Add One Row to Tree. |
| 94 | + TreeNode? addOneRow(TreeNode? root, int val, int depth) { |
| 95 | + TreeNode? inOrder(TreeNode? node, [height = 1, child = '']) { |
| 96 | + if (node == null) { |
| 97 | + return height == depth ? TreeNode(val) : node; |
| 98 | + } |
| 99 | + |
| 100 | + if (height == depth) { |
| 101 | + // When height matches, insert new node. |
| 102 | + // Also parent has passed which child it is, left or right. |
| 103 | + // Append current tree at appropriate position |
| 104 | + TreeNode newNode = TreeNode(val); |
| 105 | + if (child == 'L' || child == '') { |
| 106 | + newNode.left = node; |
| 107 | + } else if (child == 'R') { |
| 108 | + newNode.right = node; |
| 109 | + } |
| 110 | + return newNode; |
| 111 | + } else if (height < depth) { |
| 112 | + node.left = inOrder(node.left, height + 1, 'L'); |
| 113 | + node.right = inOrder(node.right, height + 1, 'R'); |
| 114 | + return node; |
| 115 | + } |
| 116 | + |
| 117 | + return node; |
| 118 | + } |
| 119 | + |
| 120 | + return inOrder(root); |
| 121 | + } |
| 122 | +} |
| 123 | + |
| 124 | +class C { |
| 125 | + // Depth First search - DFS |
| 126 | +// Runtime: 675 ms, faster than 100.00% of Dart online submissions for Add One Row to Tree. |
| 127 | +// Memory Usage: 149.4 MB, less than 100.00% of Dart online submissions for Add One Row to Tree. |
| 128 | + void walk(TreeNode? currentNode, TreeNode? parentNode, bool left, int val, |
| 129 | + int maxDepth, int currentDepth) { |
| 130 | + // Base case 1 |
| 131 | + if (currentDepth == maxDepth - 1) { |
| 132 | + TreeNode node = createNode(val); |
| 133 | + // Base case 2 |
| 134 | + if (left) { |
| 135 | + node.left = parentNode?.left; |
| 136 | + parentNode?.left = node; |
| 137 | + } else { |
| 138 | + // Base case 3 |
| 139 | + node.right = parentNode?.right; |
| 140 | + parentNode?.right = node; |
| 141 | + } |
| 142 | + return; |
| 143 | + } |
| 144 | + //Base case |
| 145 | + if (currentNode == null) { |
| 146 | + return; |
| 147 | + } |
| 148 | + // Left sub tree |
| 149 | + walk(currentNode.left, currentNode, true, val, maxDepth, currentDepth + 1); |
| 150 | + // right sub tree |
| 151 | + walk( |
| 152 | + currentNode.right, currentNode, false, val, maxDepth, currentDepth + 1); |
| 153 | + } |
| 154 | + |
| 155 | + TreeNode createNode(int val) { |
| 156 | + return TreeNode(val); |
| 157 | + } |
| 158 | + |
| 159 | + TreeNode? addOneRow(TreeNode? root, int val, int depth) { |
| 160 | + // Base case 4 |
| 161 | + if (depth == 1) { |
| 162 | + TreeNode node = createNode(val); |
| 163 | + node.left = root; |
| 164 | + return node; |
| 165 | + } |
| 166 | + // go for left sub tree. |
| 167 | + walk(root?.left, root, true, val, depth, 1); |
| 168 | + // go for right sub tree. |
| 169 | + walk(root?.right, root, false, val, depth, 1); |
| 170 | + return root; |
| 171 | + } |
| 172 | +} |
| 173 | + |
| 174 | +class D { |
| 175 | +// Runtime: 523 ms, faster than 100.00% of Dart online submissions for Add One Row to Tree. |
| 176 | +// Memory Usage: 143.8 MB, less than 100.00% of Dart online submissions for Add One Row to Tree. |
| 177 | + void levelOrder(TreeNode? root, int val, int depth, int lvl) { |
| 178 | + if (root == null) return; |
| 179 | + if (lvl == depth - 2) { |
| 180 | + TreeNode? l = root.left, r = root.right; |
| 181 | + root.left = TreeNode(val); |
| 182 | + root.left?.left = l; |
| 183 | + root.right = TreeNode(val); |
| 184 | + root.right?.right = r; |
| 185 | + } |
| 186 | + levelOrder(root.left, val, depth, lvl + 1); |
| 187 | + levelOrder(root.right, val, depth, lvl + 1); |
| 188 | + } |
| 189 | + |
| 190 | + TreeNode? addOneRow(TreeNode? root, int val, int depth) { |
| 191 | + if (depth == 1) { |
| 192 | + TreeNode? node = new TreeNode(val); |
| 193 | + node.left = root; |
| 194 | + return node; |
| 195 | + } |
| 196 | + levelOrder(root, val, depth, 0); |
| 197 | + return root; |
| 198 | + } |
| 199 | +} |
| 200 | + |
| 201 | +class E { |
| 202 | +// Runtime: 547 ms, faster than 100.00% of Dart online submissions for Add One Row to Tree. |
| 203 | +// Memory Usage: 146.9 MB, less than 100.00% of Dart online submissions for Add One Row to Tree. |
| 204 | + TreeNode? addOneRow(TreeNode? root, int val, int depth) { |
| 205 | + // if the depth of the tree is only one |
| 206 | + if (depth == 1) { |
| 207 | + // node will hold our value |
| 208 | + TreeNode node = TreeNode(val); |
| 209 | + // on thee left side |
| 210 | + node.left = root; |
| 211 | + // and we will add the node |
| 212 | + return node; |
| 213 | + } |
| 214 | + |
| 215 | + Queue<TreeNode?> queue = Queue(); |
| 216 | + // add the tree root inn uu queue |
| 217 | + queue.add(root); |
| 218 | + // FOR EXAMPLE IF THE depth is only ne |
| 219 | + int currentDepth = 1; |
| 220 | + // assuming that the queue is not empty |
| 221 | + while (queue.isNotEmpty) { |
| 222 | + // getting the whole length of the queue |
| 223 | + int size = queue.length; |
| 224 | + currentDepth++; |
| 225 | + |
| 226 | + if (currentDepth == depth) { |
| 227 | + for (int i = 0; i < size; i++) { |
| 228 | + // removing the first value from the queue |
| 229 | + TreeNode? node = queue.removeFirst(); |
| 230 | + // our new left node |
| 231 | + TreeNode? newLeftNode = TreeNode(val); |
| 232 | + // assigning the new left node to the left side of the tree node |
| 233 | + newLeftNode.left = node?.left; |
| 234 | + node?.left = newLeftNode; |
| 235 | + // new right node |
| 236 | + TreeNode? newRightNode = TreeNode(val); |
| 237 | + // assigning the new right node to the left side of the tree node |
| 238 | + newRightNode.right = node?.right; |
| 239 | + node?.right = newRightNode; |
| 240 | + } |
| 241 | + |
| 242 | + break; |
| 243 | + } else { |
| 244 | + // iterating through the whole length of the queue |
| 245 | + for (int i = 0; i < size; i++) { |
| 246 | + // removing the first value |
| 247 | + TreeNode? node = queue.removeFirst(); |
| 248 | + // if left side is not null we will add the value to left side |
| 249 | + if (node?.left != null) queue.add(node?.left); |
| 250 | + // if left side is not null we will add the value to left side |
| 251 | + if (node?.right != null) queue.add(node?.right); |
| 252 | + } |
| 253 | + } |
| 254 | + } |
| 255 | + |
| 256 | + return root; |
| 257 | + } |
| 258 | +} |
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