|
| 1 | +function buildTreeFromLevelOrder(arr) { |
| 2 | + if (!arr || arr.length === 0 || arr[0] === null) return null; |
| 3 | + |
| 4 | + const nodes = arr.map((val, idx) => |
| 5 | + val === null || val === -1 |
| 6 | + ? null |
| 7 | + : { id: `n${idx}`, value: val, left: null, right: null } |
| 8 | + ); |
| 9 | + const root = nodes[0]; |
| 10 | + if (!root) return null; |
| 11 | + |
| 12 | + const queue = [root]; |
| 13 | + let i = 1; |
| 14 | + |
| 15 | + while (queue.length > 0 && i < nodes.length) { |
| 16 | + const current = queue.shift(); |
| 17 | + if (i < nodes.length && nodes[i] !== null) { |
| 18 | + current.left = nodes[i]; |
| 19 | + queue.push(nodes[i]); |
| 20 | + } |
| 21 | + i++; |
| 22 | + |
| 23 | + if (i < nodes.length && nodes[i] !== null) { |
| 24 | + current.right = nodes[i]; |
| 25 | + queue.push(nodes[i]); |
| 26 | + } |
| 27 | + i++; |
| 28 | + } |
| 29 | + return root; |
| 30 | +} |
| 31 | +function cloneTree(node) { |
| 32 | + if (!node) return null; |
| 33 | + return { |
| 34 | + id: node.id, |
| 35 | + value: node.value, |
| 36 | + left: cloneTree(node.left), |
| 37 | + right: cloneTree(node.right) |
| 38 | + }; |
| 39 | +} |
| 40 | +function getAllNodeIds(node) { |
| 41 | + if (!node) return []; |
| 42 | + return [node.id, ...getAllNodeIds(node.left), ...getAllNodeIds(node.right)]; |
| 43 | +} |
| 44 | + |
| 45 | +//inorder |
| 46 | +export function* inorderTraversal(root) { |
| 47 | + if (!root) { |
| 48 | + yield {type: "error", message: "Tree is empty", current: null, visited: [], path: [], subtree: "root" }; |
| 49 | + return; |
| 50 | + } |
| 51 | + |
| 52 | + const visited = []; |
| 53 | + const path = []; |
| 54 | + function* traverse(node) { |
| 55 | + if (!node) return; |
| 56 | + if (node.left) { |
| 57 | + path.push(node.value); |
| 58 | + yield { |
| 59 | + type: "traverse_left", |
| 60 | + message: `Moving to left subtree of ${node.value}`, |
| 61 | + current: node.value, visited: [...visited], path: [...path], subtree: "left" |
| 62 | + }; |
| 63 | + yield* traverse(node.left); |
| 64 | + path.pop(); |
| 65 | + } |
| 66 | + path.push(node.value); |
| 67 | + visited.push(node.value); |
| 68 | + yield { |
| 69 | + type: "visit", |
| 70 | + message: `Visiting ${node.value} (Inorder: Left → Root → Right)`, |
| 71 | + current: node.value, visited: [...visited], path: [...path], subtree: "root" |
| 72 | + }; |
| 73 | + if (node.right) { |
| 74 | + yield { |
| 75 | + type: "traverse_right", |
| 76 | + message: `Moving to right subtree of ${node.value}`, |
| 77 | + current: node.value, visited: [...visited], path: [...path], subtree: "root" |
| 78 | + }; |
| 79 | + yield* traverse(node.right); |
| 80 | + } |
| 81 | + |
| 82 | + path.pop(); |
| 83 | + } |
| 84 | + yield* traverse(root); |
| 85 | + |
| 86 | + yield { |
| 87 | + type: "complete", |
| 88 | + message: `Inorder traversal complete: ${visited.join(" → ")}`, |
| 89 | + current: null, visited: visited, path: [] |
| 90 | + }; |
| 91 | +} |
| 92 | + |
| 93 | +//preorder |
| 94 | +export function* preorderTraversal(root) { |
| 95 | + if (!root) { |
| 96 | + yield { type: "error", message: "Tree is empty", current: null, visited: [], path: [] }; |
| 97 | + return; |
| 98 | + } |
| 99 | + const visited = []; |
| 100 | + const path = []; |
| 101 | + |
| 102 | + function* traverse(node) { |
| 103 | + if (!node) return; |
| 104 | + path.push(node.value); |
| 105 | + visited.push(node.value); |
| 106 | + yield { |
| 107 | + type: "visit", |
| 108 | + message: `Visiting ${node.value} (Preorder: Root → Left → Right)`, |
| 109 | + current: node.value, visited: [...visited], path: [...path], subtree: "root" |
| 110 | + }; |
| 111 | + if (node.left) { |
| 112 | + yield { |
| 113 | + type: "traverse_left", |
| 114 | + message: `Moving to left subtree of ${node.value}`, |
| 115 | + current: node.value, visited: [...visited],path: [...path] |
| 116 | + }; |
| 117 | + yield* traverse(node.left); |
| 118 | + } |
| 119 | + |
| 120 | + if (node.right) { |
| 121 | + yield { |
| 122 | + type: "traverse_right", |
| 123 | + message: `Moving to right subtree of ${node.value}`, |
| 124 | + current: node.value, visited: [...visited], path: [...path] }; |
| 125 | + yield* traverse(node.right); |
| 126 | + } |
| 127 | + path.pop(); |
| 128 | + } |
| 129 | + |
| 130 | + yield* traverse(root); |
| 131 | + |
| 132 | + yield { type: "complete", message: `Preorder traversal complete: ${visited.join(" → ")}`, current: null, visited: visited, path: []}; |
| 133 | +} |
| 134 | + |
| 135 | +//postorder |
| 136 | +export function* postorderTraversal(root) { |
| 137 | + if (!root) { |
| 138 | + yield { type: "error", message: "Tree is empty", current: null, visited: [], path: [] }; |
| 139 | + return; |
| 140 | + } |
| 141 | + const visited = []; |
| 142 | + const path = []; |
| 143 | + |
| 144 | + function* traverse(node) { |
| 145 | + if (!node) return; |
| 146 | + path.push(node.value); |
| 147 | + if (node.left) { |
| 148 | + yield { |
| 149 | + type: "traverse_left", |
| 150 | + message: `Moving to left subtree of ${node.value}`, |
| 151 | + current: node.value, |
| 152 | + visited: [...visited], |
| 153 | + path: [...path] |
| 154 | + }; |
| 155 | + yield* traverse(node.left); |
| 156 | + } |
| 157 | + |
| 158 | + if (node.right) { |
| 159 | + yield { |
| 160 | + type: "traverse_right", |
| 161 | + message: `Moving to right subtree of ${node.value}`, |
| 162 | + current: node.value, |
| 163 | + visited: [...visited], |
| 164 | + path: [...path] |
| 165 | + }; |
| 166 | + yield* traverse(node.right); |
| 167 | + } |
| 168 | + visited.push(node.value); |
| 169 | + yield { |
| 170 | + type: "visit", |
| 171 | + message: `Visiting ${node.value} (Postorder: Left → Right → Root)`, |
| 172 | + current: node.value, |
| 173 | + visited: [...visited], |
| 174 | + path: [...path], |
| 175 | + subtree: "root" |
| 176 | + }; |
| 177 | + path.pop(); |
| 178 | + } |
| 179 | + yield* traverse(root); |
| 180 | + yield { |
| 181 | + type: "complete", |
| 182 | + message: `Postorder traversal complete: ${visited.join(" → ")}`, |
| 183 | + current: null, |
| 184 | + visited: visited, |
| 185 | + path: [] |
| 186 | + }; |
| 187 | +} |
| 188 | +export function* treeTraversalGenerator(treeData, traversalType = "all") { |
| 189 | + const root = buildTreeFromLevelOrder(treeData); |
| 190 | + if (!root) { |
| 191 | + yield { |
| 192 | + type: "error", |
| 193 | + message: "Invalid tree data", |
| 194 | + tree: null, |
| 195 | + step: null |
| 196 | + }; |
| 197 | + return; |
| 198 | + } |
| 199 | + if (traversalType === "all") { |
| 200 | + const traversals = [ |
| 201 | + { name: "inorder", generator: inorderTraversal }, |
| 202 | + { name: "preorder", generator: preorderTraversal }, |
| 203 | + { name: "postorder", generator: postorderTraversal } |
| 204 | + ]; |
| 205 | + const results = { |
| 206 | + inorder: { visited: [], steps: [] }, |
| 207 | + preorder: { visited: [], steps: [] }, |
| 208 | + postorder: { visited: [], steps: [] } |
| 209 | + }; |
| 210 | + for (const { name, generator } of traversals) { |
| 211 | + for (const step of generator(cloneTree(root))) { |
| 212 | + results[name].steps.push(step); |
| 213 | + if (step.type === "complete") { |
| 214 | + results[name].visited = step.visited; |
| 215 | + } |
| 216 | + } |
| 217 | + } |
| 218 | + yield { |
| 219 | + type: "sync_step", |
| 220 | + tree: cloneTree(root), |
| 221 | + stepIndex: -1, |
| 222 | + inorder: { type: "start", message: "Starting Inorder traversal", visited: [], path: [] }, |
| 223 | + preorder: { type: "start", message: "Starting Preorder traversal", visited: [], path: [] }, |
| 224 | + postorder: { type: "start", message: "Starting Postorder traversal", visited: [], path: [] } |
| 225 | + }; |
| 226 | + const maxSteps = Math.max( |
| 227 | + results.inorder.steps.length, |
| 228 | + results.preorder.steps.length, |
| 229 | + results.postorder.steps.length |
| 230 | + ); |
| 231 | + for (let i = 0; i < maxSteps; i++) { |
| 232 | + const step = { |
| 233 | + type: "sync_step", |
| 234 | + tree: cloneTree(root), |
| 235 | + stepIndex: i, |
| 236 | + inorder: results.inorder.steps[i] || results.inorder.steps[results.inorder.steps.length - 1] || null, |
| 237 | + preorder: results.preorder.steps[i] || results.preorder.steps[results.preorder.steps.length - 1] || null, |
| 238 | + postorder: results.postorder.steps[i] || results.postorder.steps[results.postorder.steps.length - 1] || null |
| 239 | + }; |
| 240 | + yield step; |
| 241 | + } |
| 242 | + yield { |
| 243 | + type: "complete", |
| 244 | + tree: cloneTree(root), |
| 245 | + inorder: results.inorder.visited, |
| 246 | + preorder: results.preorder.visited, |
| 247 | + postorder: results.postorder.visited, |
| 248 | + message: `All traversals complete. Inorder: [${results.inorder.visited.join(", ")}], Preorder: [${results.preorder.visited.join(", ")}], Postorder: [${results.postorder.visited.join(", ")}]` |
| 249 | + }; |
| 250 | + } else { |
| 251 | + let generator; |
| 252 | + if (traversalType === "inorder") { |
| 253 | + generator = inorderTraversal; |
| 254 | + } else if (traversalType === "preorder") { |
| 255 | + generator = preorderTraversal; |
| 256 | + } else if (traversalType === "postorder") { |
| 257 | + generator = postorderTraversal; |
| 258 | + } else { |
| 259 | + yield { |
| 260 | + type: "error", |
| 261 | + message: "Invalid traversal type", |
| 262 | + tree: null, |
| 263 | + step: null |
| 264 | + }; |
| 265 | + return; |
| 266 | + } |
| 267 | + for (const step of generator(cloneTree(root))) { |
| 268 | + yield { |
| 269 | + type: "single_step", |
| 270 | + tree: cloneTree(root), |
| 271 | + traversal: traversalType, |
| 272 | + step: step |
| 273 | + }; |
| 274 | + } |
| 275 | + } |
| 276 | +} |
| 277 | +export { buildTreeFromLevelOrder, cloneTree, getAllNodeIds }; |
| 278 | + |
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