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476. Number Complement

Given a positive integer, output its complement number. The complement strategy is to flip the bits of its binary representation.

Note:

  1. The given integer is guaranteed to fit within the range of a 32-bit signed integer.
  2. You could assume no leading zero bit in the integer’s binary representation.

Example 1:

Input: 5
Output: 2
Explanation: The binary representation of 5 is 101 (no leading zero bits), and its complement is 010. So you need to output 2.

Example 2:

Input: 1
Output: 0
Explanation: The binary representation of 1 is 1 (no leading zero bits), and its complement is 0. So you need to output 0.

Solutions (Rust)

1. Mathematical

impl Solution {
    pub fn find_complement(num: i32) -> i32 {
        2_i32.pow((num as f64).log2() as u32 + 1) - 1 - num
    }
}

2. Bitwise Operator

impl Solution {
    pub fn find_complement(num: i32) -> i32 {
        let mut ret = 0;

        for i in 0..30 {
            if num >> i == 0 {
                break;
            }
            if num & (1 << i) == 0 {
                ret ^= 1 << i;
            }
        }

        ret
    }
}