Tasks Details
medium
Count 30-bit bitmasks conforming to at least one of three given 30-bit bitmasks.
Task Score
Correctness
Performance
In this problem we consider unsigned 30-bit integers, i.e. all integers B such that 0 ≤ B < 230.
We say that integer A conforms to integer B if, in all positions where B has bits set to 1, A has corresponding bits set to 1.
For example:
- 00 0000 1111 0111 1101 1110 0000 1111(BIN) = 16,244,239 conforms to
00 0000 1100 0110 1101 1110 0000 0001(BIN) = 13,032,961, but- 11 0000 1101 0111 0000 1010 0000 0101(BIN) = 819,399,173 does not conform to
00 0000 1001 0110 0011 0011 0000 1111(BIN) = 9,843,471.
Write a function:
int solution(int A, int B, int C);
that, given three unsigned 30-bit integers A, B and C, returns the number of unsigned 30-bit integers conforming to at least one of the given integers.
For example, for integers:
- A = 11 1111 1111 1111 1111 1111 1001 1111(BIN) = 1,073,741,727,
- B = 11 1111 1111 1111 1111 1111 0011 1111(BIN) = 1,073,741,631, and
- C = 11 1111 1111 1111 1111 1111 0110 1111(BIN) = 1,073,741,679,
the function should return 8, since there are 8 unsigned 30-bit integers conforming to A, B or C, namely:
- 11 1111 1111 1111 1111 1111 0011 1111(BIN) = 1,073,741,631,
- 11 1111 1111 1111 1111 1111 0110 1111(BIN) = 1,073,741,679,
- 11 1111 1111 1111 1111 1111 0111 1111(BIN) = 1,073,741,695,
- 11 1111 1111 1111 1111 1111 1001 1111(BIN) = 1,073,741,727,
- 11 1111 1111 1111 1111 1111 1011 1111(BIN) = 1,073,741,759,
- 11 1111 1111 1111 1111 1111 1101 1111(BIN) = 1,073,741,791,
- 11 1111 1111 1111 1111 1111 1110 1111(BIN) = 1,073,741,807,
- 11 1111 1111 1111 1111 1111 1111 1111(BIN) = 1,073,741,823.
Write an efficient algorithm for the following assumptions:
- A, B and C are integers within the range [0..1,073,741,823].
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Solution
Programming language used C++
Time spent on task 1 minutes
Notes
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