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| 1 | +const Skiplist = function () { |
| 2 | + this.maxLvl = ~~Math.log2(20000) |
| 3 | + this.levels = [...Array(this.maxLvl)].map(() => new Node(-1)) |
| 4 | + for (let i = this.maxLvl - 1; i > 0; i--) { |
| 5 | + this.levels[i].down = this.levels[i - 1] |
| 6 | + } |
| 7 | + this.head = this.levels[this.maxLvl - 1] |
| 8 | +} |
| 9 | + |
| 10 | +/** |
| 11 | + * @param {number} target |
| 12 | + * @return {boolean} |
| 13 | + */ |
| 14 | +Skiplist.prototype.search = function (target) { |
| 15 | + const pre = this.iter(target) |
| 16 | + return !pre[0].next ? false : pre[0].next.val === target |
| 17 | +} |
| 18 | + |
| 19 | +Skiplist.prototype.iter = function (target) { |
| 20 | + let cur = this.head |
| 21 | + const pre = [] |
| 22 | + for (let i = this.maxLvl - 1; i >= 0; i--) { |
| 23 | + while (cur.next && cur.next.val < target) cur = cur.next |
| 24 | + pre[i] = cur |
| 25 | + cur = cur.down |
| 26 | + } |
| 27 | + return pre |
| 28 | +} |
| 29 | + |
| 30 | +/** |
| 31 | + * @param {number} num |
| 32 | + * @return {void} |
| 33 | + */ |
| 34 | +Skiplist.prototype.add = function (num) { |
| 35 | + const pre = this.iter(num) |
| 36 | + const lvs = decideLevels(this.maxLvl) |
| 37 | + for (let i = 0; i < lvs; i++) { |
| 38 | + const next = pre[i].next |
| 39 | + pre[i].next = new Node(num) |
| 40 | + pre[i].next.next = next |
| 41 | + if (i > 0) pre[i].next.down = pre[i - 1].next |
| 42 | + } |
| 43 | +} |
| 44 | + |
| 45 | +/** |
| 46 | + * @param {number} num |
| 47 | + * @return {boolean} |
| 48 | + */ |
| 49 | +Skiplist.prototype.erase = function (num) { |
| 50 | + const pre = this.iter(num) |
| 51 | + let ret |
| 52 | + if (!pre[0].next || pre[0].next.val !== num) return false |
| 53 | + for (let i = this.maxLvl - 1; i >= 0; i--) { |
| 54 | + if (pre[i].next && pre[i].next.val === num) { |
| 55 | + const toBeDeleted = pre[i].next |
| 56 | + pre[i].next = toBeDeleted.next |
| 57 | + toBeDeleted.next = null |
| 58 | + toBeDeleted.down = null |
| 59 | + } |
| 60 | + } |
| 61 | + return true |
| 62 | +} |
| 63 | + |
| 64 | +/** |
| 65 | + * Your Skiplist object will be instantiated and called as such: |
| 66 | + * var obj = new Skiplist() |
| 67 | + * var param_1 = obj.search(target) |
| 68 | + * obj.add(num) |
| 69 | + * var param_3 = obj.erase(num) |
| 70 | + */ |
| 71 | + |
| 72 | +const decideLevels = (max) => { |
| 73 | + let ans = 1 |
| 74 | + while (Math.random() > 0.5 && ans < max) ans++ |
| 75 | + return ans |
| 76 | +} |
| 77 | + |
| 78 | +const Node = function (val) { |
| 79 | + this.val = val |
| 80 | + this.next = null |
| 81 | + this.down = null |
| 82 | +} |
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