carloscn / structstudy

Leetcode daily trainning by using C/C++/RUST programming.
4 stars 1 forks source link

leetcode2303: Calculate Amount Paid in Taxes #378

Open carloscn opened 11 months ago

carloscn commented 11 months ago

Description

You are given a 0-indexed 2D integer array brackets where brackets[i] = [upperi, percenti] means that the ith tax bracket has an upper bound of upperi and is taxed at a rate of percenti. The brackets are sorted by upper bound (i.e. upperi-1 < upperi for 0 < i < brackets.length).

Tax is calculated as follows:

The first upper0 dollars earned are taxed at a rate of percent0. The next upper1 - upper0 dollars earned are taxed at a rate of percent1. The next upper2 - upper1 dollars earned are taxed at a rate of percent2. And so on. You are given an integer income representing the amount of money you earned. Return the amount of money that you have to pay in taxes. Answers within 10-5 of the actual answer will be accepted.

Example 1:

Input: brackets = [[3,50],[7,10],[12,25]], income = 10 Output: 2.65000 Explanation: Based on your income, you have 3 dollars in the 1st tax bracket, 4 dollars in the 2nd tax bracket, and 3 dollars in the 3rd tax bracket. The tax rate for the three tax brackets is 50%, 10%, and 25%, respectively. In total, you pay $3 50% + $4 10% + $3 * 25% = $2.65 in taxes.

Example 2:

Input: brackets = [[1,0],[4,25],[5,50]], income = 2 Output: 0.25000 Explanation: Based on your income, you have 1 dollar in the 1st tax bracket and 1 dollar in the 2nd tax bracket. The tax rate for the two tax brackets is 0% and 25%, respectively. In total, you pay $1 0% + $1 25% = $0.25 in taxes.

Example 3:

Input: brackets = [[2,50]], income = 0 Output: 0.00000 Explanation: You have no income to tax, so you have to pay a total of $0 in taxes.

Constraints:

1 <= brackets.length <= 100 1 <= upperi <= 1000 0 <= percenti <= 100 0 <= income <= 1000 upperi is sorted in ascending order. All the values of upperi are unique. The upper bound of the last tax bracket is greater than or equal to income.

carloscn commented 11 months ago

Analysis

pub fn calculate_tax(brackets: Vec<Vec<i32>>, income: i32) -> f64
{
    let mut ret:f64 = 0.0f64;

    if brackets.len() == 0 || income == 0 {
        return ret;
    }

    let mut i:usize = 0;
    let mut left:f64 = income as f64;
    let mut last_base:f64 = 0.0;
    while i < brackets.len() && left >= 0.0 {
        let e = &brackets[i];
        let tax_pay = (e[0] as f64 - last_base).min(left) as f64 * e[1] as f64 / 100.0_f64;
        left -= (e[0] as f64 - last_base).min(left) as f64;
        last_base = e[0] as f64;
        ret += tax_pay;
        i += 1;
    }

    return ret;
}
carloscn commented 11 months ago

Code

https://review.gerrithub.io/c/carloscn/structstudy/+/1170630 https://github.com/carloscn/structstudy/commit/d750ddc268625c9a6357a40bf8475ae8cbc080b7