|
| 1 | +/** |
| 2 | + * @param {number[][]} intervals |
| 3 | + * @param {number[]} queries |
| 4 | + * @return {number[]} |
| 5 | + */ |
| 6 | +const minInterval = function (A, Q) { |
| 7 | + const QQ = [] |
| 8 | + for (let idx = 0; idx < Q.length; idx++) QQ.push([Q[idx], idx]) |
| 9 | + QQ.sort((a, b) => a[0] - b[0]) |
| 10 | + A.sort((a, b) => a[0] - b[0]) |
| 11 | + let i = 0, |
| 12 | + N = A.length |
| 13 | + const ans = Array(Q.length).fill(-1) |
| 14 | + const m = new TreeMap() |
| 15 | + const pq = new PriorityQueue((a, b) => a[0] < b[0]) |
| 16 | + for (let [q, index] of QQ) { |
| 17 | + for (; i < N && A[i][0] <= q; i++) { |
| 18 | + let len = A[i][1] - A[i][0] + 1 |
| 19 | + if (m.get(len) == null) m.set(len, 0) |
| 20 | + m.set(len, m.get(len) + 1) |
| 21 | + pq.push([A[i][1], len]) |
| 22 | + } |
| 23 | + while (pq.size() > 0 && pq.peek()[0] < q) { |
| 24 | + let [right, len] = pq.peek() |
| 25 | + m.set(len, m.get(len) - 1) |
| 26 | + if (m.get(len) === 0) m.remove(len) |
| 27 | + pq.pop() |
| 28 | + } |
| 29 | + const first = m.getMinKey() |
| 30 | + if (m.getLength()) ans[index] = first |
| 31 | + } |
| 32 | + return ans |
| 33 | +} |
| 34 | + |
| 35 | +class PriorityQueue { |
| 36 | + constructor(comparator = (a, b) => a > b) { |
| 37 | + this.heap = [] |
| 38 | + this.top = 0 |
| 39 | + this.comparator = comparator |
| 40 | + } |
| 41 | + size() { |
| 42 | + return this.heap.length |
| 43 | + } |
| 44 | + isEmpty() { |
| 45 | + return this.size() === 0 |
| 46 | + } |
| 47 | + peek() { |
| 48 | + return this.heap[this.top] |
| 49 | + } |
| 50 | + push(...values) { |
| 51 | + values.forEach((value) => { |
| 52 | + this.heap.push(value) |
| 53 | + this.siftUp() |
| 54 | + }) |
| 55 | + return this.size() |
| 56 | + } |
| 57 | + pop() { |
| 58 | + const poppedValue = this.peek() |
| 59 | + const bottom = this.size() - 1 |
| 60 | + if (bottom > this.top) { |
| 61 | + this.swap(this.top, bottom) |
| 62 | + } |
| 63 | + this.heap.pop() |
| 64 | + this.siftDown() |
| 65 | + return poppedValue |
| 66 | + } |
| 67 | + replace(value) { |
| 68 | + const replacedValue = this.peek() |
| 69 | + this.heap[this.top] = value |
| 70 | + this.siftDown() |
| 71 | + return replacedValue |
| 72 | + } |
| 73 | + |
| 74 | + parent = (i) => ((i + 1) >>> 1) - 1 |
| 75 | + left = (i) => (i << 1) + 1 |
| 76 | + right = (i) => (i + 1) << 1 |
| 77 | + greater = (i, j) => this.comparator(this.heap[i], this.heap[j]) |
| 78 | + swap = (i, j) => ([this.heap[i], this.heap[j]] = [this.heap[j], this.heap[i]]) |
| 79 | + siftUp = () => { |
| 80 | + let node = this.size() - 1 |
| 81 | + while (node > this.top && this.greater(node, this.parent(node))) { |
| 82 | + this.swap(node, this.parent(node)) |
| 83 | + node = this.parent(node) |
| 84 | + } |
| 85 | + } |
| 86 | + siftDown = () => { |
| 87 | + let node = this.top |
| 88 | + while ( |
| 89 | + (this.left(node) < this.size() && this.greater(this.left(node), node)) || |
| 90 | + (this.right(node) < this.size() && this.greater(this.right(node), node)) |
| 91 | + ) { |
| 92 | + let maxChild = |
| 93 | + this.right(node) < this.size() && |
| 94 | + this.greater(this.right(node), this.left(node)) |
| 95 | + ? this.right(node) |
| 96 | + : this.left(node) |
| 97 | + this.swap(node, maxChild) |
| 98 | + node = maxChild |
| 99 | + } |
| 100 | + } |
| 101 | +} |
| 102 | + |
| 103 | +function TreeMap() { |
| 104 | + var root = null |
| 105 | + var keyType = void 0 |
| 106 | + var length = 0 |
| 107 | + |
| 108 | + return { |
| 109 | + each: each, |
| 110 | + set: set, |
| 111 | + get: get, |
| 112 | + getTree: getTree, |
| 113 | + getLength: getLength, |
| 114 | + getMaxKey: getMaxKey, |
| 115 | + getMinKey: getMinKey, |
| 116 | + remove: remove, |
| 117 | + } |
| 118 | + |
| 119 | + function checkKey(key, checkKeyType) { |
| 120 | + var localKeyType = typeof key |
| 121 | + |
| 122 | + if ( |
| 123 | + localKeyType !== 'number' && |
| 124 | + localKeyType !== 'string' && |
| 125 | + localKeyType !== 'boolean' |
| 126 | + ) { |
| 127 | + throw new Error("'key' must be a number, a string or a boolean") |
| 128 | + } |
| 129 | + |
| 130 | + if (checkKeyType === true && localKeyType !== keyType) { |
| 131 | + throw new Error('All keys must be of the same type') |
| 132 | + } |
| 133 | + |
| 134 | + return localKeyType |
| 135 | + } |
| 136 | + |
| 137 | + function call(callback) { |
| 138 | + var args = Array.prototype.slice.call(arguments, 1) |
| 139 | + |
| 140 | + if (typeof callback === 'function') { |
| 141 | + callback.apply(void 0, args) |
| 142 | + } |
| 143 | + } |
| 144 | + |
| 145 | + function getTree() { |
| 146 | + return root |
| 147 | + } |
| 148 | + |
| 149 | + function getLength() { |
| 150 | + return length |
| 151 | + } |
| 152 | + |
| 153 | + function each(callback) { |
| 154 | + internalEach(root, callback) |
| 155 | + } |
| 156 | + |
| 157 | + function internalEach(node, callback, internalCallback) { |
| 158 | + if (node === null) { |
| 159 | + return call(internalCallback) |
| 160 | + } |
| 161 | + |
| 162 | + internalEach(node.left, callback, function () { |
| 163 | + call(callback, node.value, node.key) |
| 164 | + |
| 165 | + internalEach(node.right, callback, function () { |
| 166 | + call(internalCallback) |
| 167 | + }) |
| 168 | + }) |
| 169 | + } |
| 170 | + |
| 171 | + function get(key) { |
| 172 | + checkKey(key) |
| 173 | + |
| 174 | + return internalGet(key, root) |
| 175 | + } |
| 176 | + |
| 177 | + function internalGet(key, node) { |
| 178 | + if (node === null) { |
| 179 | + return void 0 |
| 180 | + } |
| 181 | + |
| 182 | + if (key < node.key) { |
| 183 | + return internalGet(key, node.left) |
| 184 | + } else if (key > node.key) { |
| 185 | + return internalGet(key, node.right) |
| 186 | + } else { |
| 187 | + return node.value |
| 188 | + } |
| 189 | + } |
| 190 | + |
| 191 | + function set(key, value) { |
| 192 | + if (root === null) { |
| 193 | + keyType = checkKey(key) |
| 194 | + } else { |
| 195 | + checkKey(key, true) |
| 196 | + } |
| 197 | + |
| 198 | + root = internalSet(key, value, root) |
| 199 | + } |
| 200 | + |
| 201 | + function internalSet(key, value, node) { |
| 202 | + if (node === null) { |
| 203 | + length++ |
| 204 | + |
| 205 | + return { |
| 206 | + key: key, |
| 207 | + value: value, |
| 208 | + left: null, |
| 209 | + right: null, |
| 210 | + } |
| 211 | + } |
| 212 | + |
| 213 | + if (key < node.key) { |
| 214 | + node.left = internalSet(key, value, node.left) |
| 215 | + } else if (key > node.key) { |
| 216 | + node.right = internalSet(key, value, node.right) |
| 217 | + } else { |
| 218 | + node.value = value |
| 219 | + } |
| 220 | + |
| 221 | + return node |
| 222 | + } |
| 223 | + |
| 224 | + function getMaxKey() { |
| 225 | + var maxNode = getMaxNode(root) |
| 226 | + |
| 227 | + if (maxNode !== null) { |
| 228 | + return maxNode.key |
| 229 | + } |
| 230 | + |
| 231 | + return maxNode |
| 232 | + } |
| 233 | + |
| 234 | + function getMinKey() { |
| 235 | + var minNode = getMinNode(root) |
| 236 | + |
| 237 | + if (minNode !== null) { |
| 238 | + return minNode.key |
| 239 | + } |
| 240 | + |
| 241 | + return minNode |
| 242 | + } |
| 243 | + |
| 244 | + function getMaxNode(node) { |
| 245 | + while (node !== null && node.right !== null) { |
| 246 | + node = node.right |
| 247 | + } |
| 248 | + |
| 249 | + return node |
| 250 | + } |
| 251 | + |
| 252 | + function getMinNode(node) { |
| 253 | + while (node !== null && node.left !== null) { |
| 254 | + node = node.left |
| 255 | + } |
| 256 | + |
| 257 | + return node |
| 258 | + } |
| 259 | + |
| 260 | + function remove(key) { |
| 261 | + checkKey(key) |
| 262 | + |
| 263 | + root = internalRemove(key, root) |
| 264 | + } |
| 265 | + |
| 266 | + function internalRemove(key, node) { |
| 267 | + if (node === null) { |
| 268 | + return null |
| 269 | + } |
| 270 | + |
| 271 | + if (key < node.key) { |
| 272 | + node.left = internalRemove(key, node.left) |
| 273 | + } else if (key > node.key) { |
| 274 | + node.right = internalRemove(key, node.right) |
| 275 | + } else { |
| 276 | + if (node.left !== null && node.right !== null) { |
| 277 | + var maxNode = getMaxNode(node.left) |
| 278 | + |
| 279 | + var maxNodeKey = maxNode.key |
| 280 | + var maxNodeValue = maxNode.value |
| 281 | + |
| 282 | + maxNode.key = node.key |
| 283 | + maxNode.value = node.value |
| 284 | + node.key = maxNodeKey |
| 285 | + node.value = maxNodeValue |
| 286 | + |
| 287 | + node.left = internalRemove(key, node.left) |
| 288 | + } else if (node.left !== null) { |
| 289 | + length-- |
| 290 | + return node.left |
| 291 | + } else if (node.right !== null) { |
| 292 | + length-- |
| 293 | + return node.right |
| 294 | + } else { |
| 295 | + length-- |
| 296 | + return null |
| 297 | + } |
| 298 | + } |
| 299 | + |
| 300 | + return node |
| 301 | + } |
| 302 | +} |
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