Maximize XOR Value
You are provided with an integer X
and are tasked with identifying an integer Y
such that the bitwise XOR operation between X
and Y
yields the maximum possible value. The condition is that Y
must not exceed 2305843009213693951
which is (2^61) - 1
.
Explanation:
The bitwise XOR operation contrasts two bit patterns of equivalent length, conducting an exclusive OR operation on every corresponding bit pair. The resultantly placed bit is 1
if precisely one of the paired bits is 1
; otherwise, it defaults to 0
if both bits are 0
or both are 1
.
Input:
The first input line includes an integer T
indicating the number of test cases.
Each test case input consists of a single integer X
.
Output:
For every test case, the output is an integer Y
which, when XORed with X
, results in the maximum achievable value, each result appearing on a new line.
Example:
Input:
2
3
7
Output:
2305843009213693950
2305843009213693944
Constraints:
1 ≤ T ≤ 104
0 ≤ X ≤ 1018
- Time Limit: 1 second
Note:
No need to print any values explicitly as the function's implementation manages the outputs.
Ensure that the maximum achievable value can be accommodated within a 64-bit memory space.
The initial integer X
is always a non-negative number.
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