This repository contains a Java solution for calculating the minimum number of flips required to make (a OR b) == c
, where a
, b
, and c
are positive numbers.
Given three positive numbers a
, b
, and c
, the goal is to determine the minimum number of flips required in some bits of a
and b
to make (a OR b) == c
(bitwise OR operation). A flip operation consists of changing any single bit 1 to 0 or changing the bit 0 to 1 in their binary representation.
The provided Java solution utilizes bitwise operations to extract the least significant bit of a
, b
, and c
in each iteration. The logic of the solution can be summarized as follows:
-
Initialize a variable
flips
to keep track of the number of flips required. -
Start a loop that continues until all bits of
a
,b
, andc
have been processed. -
Extract the least significant bit of
a
,b
, andc
using the bitwise AND operator (&
). -
Check the value of
bitC
:- If
bitC
is 0, addbitA + bitB
to theflips
count since the corresponding bit inc
is 0 and we need to flipa
and/orb
if either of them has a corresponding bit set to 1. - If
bitC
is 1, add 1 to theflips
count only if bothbitA
andbitB
are 0 since the corresponding bit inc
is 1 and we only need to flipa
andb
if both of them have a corresponding bit set to 0.
- If
-
Right-shift
a
,b
, andc
by 1 bit to process the next least significant bit. -
Repeat the loop until all bits of
a
,b
, andc
have been processed. -
Return the total number of flips stored in the
flips
variable.
The minFlips
method provided in the Solution
class accepts three positive integer values a
, b
, and c
as input and returns the minimum number of flips required to make (a OR b) == c
. To use this method, follow these steps:
-
Compile the Java code using a Java compiler or IDE of your choice.
-
Call the
minFlips
method with the desired values fora
,b
, andc
. -
The method will return the minimum number of flips required.
-
You can customize the
main
method in the code to test the solution with different input values.
Feel free to explore the code and modify it as needed.