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Given an array of size n. It contains numbers in the range 1 to n. Each number is present at least once except for 2 numbers. Find the missing numbers.

Answer Posted / Kundan Kumar

One way to find the missing numbers is by using bit manipulation technique. Create a bit mask with all bits set from 0 to n-1. Perform a bitwise AND operation on the bit mask and the sum of all array elements, then perform bitwise OR operations between the result and each number from 1 to n-1 until two numbers are obtained whose XOR is zero. The two missing numbers are these two numbers. Time complexity is O(n).

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