Kth User to Visit Website- Google Top Interview Questions


Problem Statement :


You are given a two-dimensional list of integers requests and an integer k.

 Each element requests[i] contains [start, end] representing an inclusive interval for the possible times when user i visited the website. 

Each user visits the site exactly once.

Return the users who may have been the kth (0-indexed) user to visit the site, sorted in ascending order. You can assume that the site can serve an unlimited number of users at any time.

Constraints

1 ≤ n ≤ 100,000 where n is the length of requests

0 ≤ k < n

Example 1

Input

requests = [

    [3, 4],

    [1, 3],

    [4, 4]

]

k = 1

Output

[0, 1, 2]

Explanation

If users visited the site at timestamps [3, 3, 4], then user 0 and 1 may have been the kth user. If they 
visited the site at [4, 3, 4], then user 0 and 2 may have been the kth user.



Example 2

Input

requests = [

    [0, 0],

    [0, 0],

    [1, 1],

    [2, 2],

    [2, 2]

]

k = 3

Output

[3, 4]

Explanation

The only possible timestamps are [0, 0, 1, 2, 2]. Only the last two users could've been the 3rd user to 
visit the site.



Example 3


Input

requests = [

    [60, 70],

    [0, 10],

    [11, 30],

    [22, 40]

]

k = 1

Output

[2, 3]

Explanation

If users visited the site at these timestamps [60, 5, 21, 22], then user 2 would've been the kth user. If they visited the site at [60, 5, 23, 22], then 3 would've been the kth user.



Solution :



title-img




                        Solution in C++ :

bool cmo(vector<int> &a, vector<int> &b) {
    return a[1] < b[1];
}

vector<int> solve(vector<vector<int>> &re, int k) {
    for (int i = 0; i < re.size(); i++) {
        re[i].push_back(i);
    }
    sort(re.begin(), re.end());
    int tmin = re[k][0];
    sort(re.begin(), re.end(), cmo);
    int tmax = re[k][1];
    // cout<<tmin<<" "<<tmax<<endl;
    vector<int> res;
    for (auto &t : re) {
        if (t[0] <= tmax && t[1] >= tmin) {
            res.push_back(t[2]);
        }
    }
    sort(begin(res), end(res));

    return res;
}
                    


                        Solution in Java :

import java.util.*;

class Solution {
    public int[] solve(int[][] requests, int k) {
        long l = 0, h = Integer.MAX_VALUE;
        while (l <= h) {
            long m = (l + h) >>> 1;
            if (canByEnd(requests, m, k + 1))
                h = m - 1;
            else
                l = m + 1;
        }
        int end = (int) l;
        l = 0;
        h = Integer.MAX_VALUE;
        while (l <= h) {
            long m = (l + h) >>> 1;
            if (canByStart(requests, m, k + 1))
                h = m - 1;
            else
                l = m + 1;
        }
        int start = (int) l;
        List<Integer> poss = new ArrayList<>();
        for (int i = 0; i != requests.length; i++) {
            int[] r = requests[i];
            if (r[0] > end || r[1] < start)
                continue;
            // if ((r[0] <= start && r[1] >= start) || (r[0] <= end && r[1] >= end))
            poss.add(i);
        }
        Collections.sort(poss);
        int[] res = new int[poss.size()];
        for (int i = 0; i != poss.size(); i++) res[i] = poss.get(i);
        return res;
    }

    boolean canByStart(int[][] reqs, long time, final int K) {
        int count = 0;
        for (int[] r : reqs)
            if (r[0] <= time)
                count++;
        return count >= K;
    }

    boolean canByEnd(int[][] reqs, long time, final int K) {
        int count = 0;
        for (int[] r : reqs) {
            if (r[1] <= time)
                count++;
        }
        return count >= K;
    }
}
                    


                        Solution in Python : 
                            
class Solution:
    def solve(self, requests, k):
        # calculate the earliest and latest visit times for user k.
        # return all requests that overlap with this interval.
        ks = sorted(s for s, e in requests)[k]
        ke = sorted(e for s, e in requests)[k]
        return [i for i, (s, e) in enumerate(requests) if not (ke < s or e < ks)]
                    


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