Hotel Room Assignments - Google Top Interview Questions


Problem Statement :


You are given a two-dimensional list of integers intervals where intervals[i] contains two numbers start and end representing a half-open interval [start, end). 

Each element represents requested times for a hotel room. Hotel rooms are assigned at the time that the booking starts.

 If requests intervals[i] and intervals[j] have the same starting time, then earlier index min(i, j) is assigned a room first.

We assign rooms starting from 0 and in general use the smallest non-negative integer that's currently unoccupied.

For each element in intervals return the assigned room for that request.

Constraints

0 ≤ n ≤ 100,000 where n is the length of intervals

Example 1

Input

intervals = [

    [1, 9],

    [2, 4],

    [4, 6],

    [5, 9]

]

Output

[0, 1, 1, 2]

Example 2

Input

intervals = [

    [1, 9],

    [2, 6],

    [6, 7],

    [3, 10]

]

Output

[0, 1, 1, 2]



Solution :



title-img




                        Solution in C++ :

vector<int> solve(vector<vector<int>>& A) {
    set<int> available_rooms;          // set of available rooms
    set<pair<int, int>> booked_rooms;  // {end time, room assigned}

    for (int i = 0; i < A.size(); i++) A[i].push_back(i), available_rooms.insert(i);

    // If requests intervals[i] and intervals[j] have the same starting time, then earlier index
    // min(i, j) is assigned a room first.
    sort(begin(A), end(A), [&](auto& a, auto& b) {
        if (a[0] == b[0])
            return a[2] < b[2];
        else
            return a[0] < b[0];
    });

    vector<int> ans(A.size());  // store rooms assigned to each index

    for (auto& v : A) {
        // make free rooms available
        while (!booked_rooms.empty() && booked_rooms.begin()->first <= v[0]) {
            available_rooms.insert(booked_rooms.begin()->second);
            booked_rooms.erase(booked_rooms.begin());
        }
        // assign rooms
        ans[v[2]] = *available_rooms.begin();
        booked_rooms.insert({v[1], *available_rooms.begin()});
        available_rooms.erase(available_rooms.begin());
    }
    return ans;
}
                    


                        Solution in Java :

import java.util.*;

class Solution {
    static class Event implements Comparable<Event> {
        int time; // Time of event
        boolean st; // Is starting event or ending event ?
        int idx; // Index in original array

        public Event(int time, boolean st, int idx) {
            this.time = time;
            this.st = st;
            this.idx = idx;
        }

        // Sort events by time, if to events have same time then give more priority to ending event.

        public int compareTo(Event e) {
            if (e.time == this.time) {
                if (!this.st)
                    return -1;
                return 1;
            }
            return this.time - e.time;
        }
    }

    public int[] solve(int[][] intervals) {
        int n = intervals.length;
        Event[] events = new Event[n * 2];

        for (int i = 0, j = 0; i < n; ++i, j += 2) {
            events[j] = new Event(intervals[i][0], true, i);
            events[j + 1] = new Event(intervals[i][1], false, i);
        }

        Arrays.sort(events);

        int[] ans = new int[n];
        int curr = 0;
        int cnt = 0;

        // Line sweep algorithm
        // Count total rooms to be alloted

        for (int i = 0; i < 2 * n; ++i) {
            Event e = events[i];
            if (e.st)
                ++curr;
            else
                --curr;
            cnt = Math.max(cnt, curr);
        }

        // Store available rooms at any instant
        // Initially all rooms are available

        TreeSet<Integer> available = new TreeSet<>();
        for (int i = 0; i < cnt; ++i) available.add(i);

        // For every starting event assign first available room
        // For every ending event free up its alloted room

        for (int i = 0; i < 2 * n; ++i) {
            Event e = events[i];
            if (e.st) {
                int x = available.first();
                available.remove(x);
                ans[e.idx] = x;
            } else
                available.add(ans[e.idx]);
        }
        return ans;
    }
}
                    


                        Solution in Python : 
                            
class Solution:
    def solve(self, intervals):
        pq = list(range(len(intervals)))  # Priority queue storing available rooms
        heapify(pq)
        events = []  # This will store the start and end times for each interval
        for index, interval in enumerate(intervals):
            events.append((interval[0], 1, index))
            events.append((interval[1], 0, index))
        res = [0] * len(intervals)  # Stores the output
        for time, event, idx in sorted(events):
            if event:  # We are processing the start of an inteval
                res[idx] = heappop(pq)  # Get smallest available room
            else:
                heappush(pq, res[idx])  # Add the current room back to available rooms
        return res
                    


View More Similar Problems

Find the Running Median

The median of a set of integers is the midpoint value of the data set for which an equal number of integers are less than and greater than the value. To find the median, you must first sort your set of integers in non-decreasing order, then: If your set contains an odd number of elements, the median is the middle element of the sorted sample. In the sorted set { 1, 2, 3 } , 2 is the median.

View Solution →

Minimum Average Waiting Time

Tieu owns a pizza restaurant and he manages it in his own way. While in a normal restaurant, a customer is served by following the first-come, first-served rule, Tieu simply minimizes the average waiting time of his customers. So he gets to decide who is served first, regardless of how sooner or later a person comes. Different kinds of pizzas take different amounts of time to cook. Also, once h

View Solution →

Merging Communities

People connect with each other in a social network. A connection between Person I and Person J is represented as . When two persons belonging to different communities connect, the net effect is the merger of both communities which I and J belongs to. At the beginning, there are N people representing N communities. Suppose person 1 and 2 connected and later 2 and 3 connected, then ,1 , 2 and 3 w

View Solution →

Components in a graph

There are 2 * N nodes in an undirected graph, and a number of edges connecting some nodes. In each edge, the first value will be between 1 and N, inclusive. The second node will be between N + 1 and , 2 * N inclusive. Given a list of edges, determine the size of the smallest and largest connected components that have or more nodes. A node can have any number of connections. The highest node valu

View Solution →

Kundu and Tree

Kundu is true tree lover. Tree is a connected graph having N vertices and N-1 edges. Today when he got a tree, he colored each edge with one of either red(r) or black(b) color. He is interested in knowing how many triplets(a,b,c) of vertices are there , such that, there is atleast one edge having red color on all the three paths i.e. from vertex a to b, vertex b to c and vertex c to a . Note that

View Solution →

Super Maximum Cost Queries

Victoria has a tree, T , consisting of N nodes numbered from 1 to N. Each edge from node Ui to Vi in tree T has an integer weight, Wi. Let's define the cost, C, of a path from some node X to some other node Y as the maximum weight ( W ) for any edge in the unique path from node X to Y node . Victoria wants your help processing Q queries on tree T, where each query contains 2 integers, L and

View Solution →