Cracking the coding interview: Missing number in array — 7

Steven Lu
1 min readJul 25, 2022

Given an array of size N-1 such that it only contains distinct integers in the range of 1 to N. Find the missing element.

Example 1:

Input:
N = 5
A[] = {1,2,3,5}
Output: 4

Example 2:

Input:
N = 10
A[] = {6,1,2,8,3,4,7,10,5}
Output: 9

Your Task :
You don’t need to read input or print anything. Complete the function MissingNumber() that takes array and N as input parameters and returns the value of the missing number.

Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)

Constraints:
1 ≤ N ≤ 106
1 ≤ A[i] ≤ 106

Solution:

Time complexity: O(N)

Space complexity: O(1)

After sorted out the array, comparing the value of iteration and the index value of array list, if its index value is not equivalent with the iteration time plus 1, then return the iteration, because its value is as same as missing number. Else, return n.

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