Problem
Given 3 positives numbers a
, b
and c
. Return the minimum flips required in some bits of a
and b
to make ( a
OR b
== c
). (bitwise OR operation).
Flip operation consists of change any single bit 1 to 0 or change the bit 0 to 1 in their binary representation.
Example 1:
Input: a = 2, b = 6, c = 5
Output: 3
Explanation: After flips a = 1 , b = 4 , c = 5 such that (a OR b == c)
Example 2:
Input: a = 4, b = 2, c = 7
Output: 1
Example 3:
Input: a = 1, b = 2, c = 3
Output: 0
Constraints:
1 <= a <= 10^9
1 <= b <= 10^9
1 <= c <= 10^9
Solution (Java)
class Solution {
public static int csb(int n) {
int cnt = 0;
while (n > 0) {
int rsb = n & -n;
n -= rsb;
cnt++;
}
return cnt;
}
public int minFlips(int a, int b, int c) {
int ans = 0;
int or = a | b;
ans += csb(or ^ c);
int and = a & b;
ans += csb(and & ~c);
return ans;
}
}
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).