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Given a number, swap the adjacent bits in the binary representation of the number, and print the new number formed after swapping.Input FormatThe first line of input contains T - the number of test cases. Each of the next T lines contains a number N.Output FormatFor each test case, print the new integer formed after swapping adjacent bits, separated by a new line.Constraints1 <= T <= 1000000 <= N <= 109ExampleInput410743100Output51123152

Question

Given a number, swap the adjacent bits in the binary representation of the number, and print the new number formed after swapping.Input FormatThe first line of input contains T - the number of test cases. Each of the next T lines contains a number N.Output FormatFor each test case, print the new integer formed after swapping adjacent bits, separated by a new line.Constraints1 <= T <= 1000000 <= N <= 109ExampleInput410743100Output51123152

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Solution

This problem is about bit manipulation. Here is a step-by-step solution in Python:

  1. First, we need to understand how to swap adjacent bits. For a binary number, the even bits are at positions 0, 2, 4, etc. and the odd bits are at positions 1, 3, 5, etc. We can get the even bits by bitwise AND operation of the number with 0xAAAAAAAA (A in hexadecimal is 1010 in binary). Similarly, we can get the odd bits by bitwise AND operation of the number with 0x55555555 (5 in hexadecimal is 0101 in binary).

  2. After getting the even and odd bits, we can swap them by right shifting the even bits and left shifting the odd bits.

  3. Finally, we can get the result by bitwise OR operation of the shifted even and odd bits.

Here is the Python code for the problem:

T = int(input())
for _ in range(T):
    N = int(input())
    even_bits = N & 0xAAAAAAAA
    odd_bits = N & 0x55555555
    even_bits >>= 1
    odd_bits <<= 1
    result = even_bits | odd_bits
    print(result)

This code first reads the number of test cases. For each test case, it reads the number, gets the even and odd bits, swaps them, and prints the result.

This problem has been solved

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