Design a Food Rating System - Priority Queue w/ Lazy Removal [JS]
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By
Anna An
on
Solution: Priority Queue w/ Lazy Removal
For each cuisine, keep a priority queue of [food, rating]
ordered by rating (desc) and food in lexicographical order.
Use a hashmap to keep track of the rating and cuisine of each food.
When a rating is updated, update the hashmap and add [food, newRating]
to the priority queue.
When getting the highest rated food, remove all foods with an outdated rating before getting the topmost food.
Time Complexity:
initialization: O(n log(n))
changeRating: O(log(n))
highestRated: O(m log(m))
worst case, but will never be more than O(m log(m))
for the total number of calls (m
is the number of calls)
Space Complexity: O(n)
var FoodRatings = function(foods, cuisines, ratings) {
this.heaps = {}, this.foods = {};
let n = foods.length;
for (let i = 0; i < n; i++) {
let food = foods[i], cuisine = cuisines[i], rating = ratings[i];
if (!this.heaps[cuisine]) this.heaps[cuisine] = new PriorityQueue((a, b) => { // [food, rating]
return a[1] === b[1] ? a[0].localeCompare(b[0]) : b[1] - a[1];
})
this.heaps[cuisine].add([food, rating]);
this.foods[food] = { cuisine, rating };
}
};
FoodRatings.prototype.changeRating = function(food, newRating) {
this.foods[food].rating = newRating;
let { cuisine } = this.foods[food];
this.heaps[cuisine].add([food, newRating]);
};
FoodRatings.prototype.highestRated = function(cuisine) {
let heap = this.heaps[cuisine];
while (this.foods[heap.top()[0]].rating !== heap.top()[1]) {
heap.remove();
}
return heap.top()[0];
};
class PriorityQueue {
constructor(comparator = ((a, b) => a - b)) {
this.values = [];
this.comparator = comparator;
this.size = 0;
}
add(val) {
this.size++;
this.values.push(val);
let idx = this.size - 1, parentIdx = Math.floor((idx - 1) / 2);
while (parentIdx >= 0 && this.comparator(this.values[parentIdx], this.values[idx]) > 0) {
[this.values[parentIdx], this.values[idx]] = [this.values[idx], this.values[parentIdx]];
idx = parentIdx;
parentIdx = Math.floor((idx - 1) / 2);
}
}
remove() {
if (this.size === 0) return -1;
this.size--;
if (this.size === 0) return this.values.pop();
let removedVal = this.values[0];
this.values[0] = this.values.pop();
let idx = 0;
while (idx < this.size && idx < Math.floor(this.size / 2)) {
let leftIdx = idx * 2 + 1, rightIdx = idx * 2 + 2;
if (rightIdx === this.size) {
if (this.comparator(this.values[leftIdx], this.values[idx]) > 0) break;
[this.values[leftIdx], this.values[idx]] = [this.values[idx], this.values[leftIdx]];
idx = leftIdx;
} else if (this.comparator(this.values[leftIdx], this.values[idx]) < 0 || this.comparator(this.values[rightIdx], this.values[idx]) < 0) {
if (this.comparator(this.values[leftIdx], this.values[rightIdx]) <= 0) {
[this.values[leftIdx], this.values[idx]] = [this.values[idx], this.values[leftIdx]];
idx = leftIdx;
} else {
[this.values[rightIdx], this.values[idx]] = [this.values[idx], this.values[rightIdx]];
idx = rightIdx;
}
} else {
break;
}
}
return removedVal;
}
top() {
return this.values[0];
}
isEmpty() {
return this.size === 0;
}
}
javascript
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