All Tracks Algorithms Sorting Quick Sort Problem

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Algorithms, Arrays, Binary tree, Hash Maps, Implementation, One-dimensional, Quick Sort, Quicksort, Quicksort, Quicksort, Sorting

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You are given an array A of length N. For any given integer X, you need to find an integer Z strictly greater than X such that Z is not present in the array A. You need to minimise the value of Z.

Input format :

  • First line : Two space seperated integers N and Q denoting the number of elements in array A and the number of queries respectively
  • Second line  : N space seperated integers denoting the array elements
  • Next Q lines : Each line consists of an integer X

Output fomat :

  • Print Q lines, each line denoting the answer to the corresponding query.

Constraints :

  • \(1 \le N,Q \le 10^{5}\)
  • \(1 \le A_{i},X \le 10^{9}\)
SAMPLE INPUT
5 2
2 7 5 9 15
3
9
SAMPLE OUTPUT
4
10
Explanation

For the first query, the minimum element greater than 3 and not present in the given array is 4. Similarly, for the second query, the answer is 10.

Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB

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