carloscn / structstudy

Leetcode daily trainning by using C/C++/RUST programming.
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leetcode1863: Sum of All Subset XOR Totals #298

Open carloscn opened 1 year ago

carloscn commented 1 year ago

Description

The XOR total of an array is defined as the bitwise XOR of all its elements, or 0 if the array is empty.

For example, the XOR total of the array [2,5,6] is 2 XOR 5 XOR 6 = 1. Given an array nums, return the sum of all XOR totals for every subset of nums.

Note: Subsets with the same elements should be counted multiple times.

An array a is a subset of an array b if a can be obtained from b by deleting some (possibly zero) elements of b.

Example 1:

Input: nums = [1,3] Output: 6 Explanation: The 4 subsets of [1,3] are:

Example 2:

Input: nums = [5,1,6] Output: 28 Explanation: The 8 subsets of [5,1,6] are:

Example 3:

Input: nums = [3,4,5,6,7,8] Output: 480 Explanation: The sum of all XOR totals for every subset is 480.

Constraints:

1 <= nums.length <= 12 1 <= nums[i] <= 20

carloscn commented 1 year ago

Analysis

pub fn subset_xor_sum(nums: Vec<i32>) -> i32
{
    let len:usize = nums.len();

    if len < 1 {
        return 0;
    }

    let mut ret:i32 = 0;
    let (mut num, mut n, mut j, mut k) =
        (1 << len, 0, 0, 0);

    for i in 0..num {
        j = i;
        k = 0 as usize;
        n = 0 as usize;
        let mut t_buf:Vec<i32> = vec![0; i];
        while j != 0 {
            if j & 1 == 1  {
                t_buf[n] = nums[k];
                n += 1;
            }
            j >>= 1;
            k += 1;
        }
        let mut xor_sum:i32 = 0;
        for e in t_buf {
            xor_sum ^= e;
        }
        ret += xor_sum;
    }

    return ret;
}
carloscn commented 1 year ago

Code

https://review.gerrithub.io/c/carloscn/structstudy/+/557352 https://github.com/carloscn/structstudy/commit/119dda2b984fa16bad389714930a28b2a61da83e