mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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174 lines
18 KiB
JSON
174 lines
18 KiB
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"title": "Calculate Amount Paid in Taxes",
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"content": "<p>You are given a <strong>0-indexed</strong> 2D integer array <code>brackets</code> where <code>brackets[i] = [upper<sub>i</sub>, percent<sub>i</sub>]</code> means that the <code>i<sup>th</sup></code> tax bracket has an upper bound of <code>upper<sub>i</sub></code> and is taxed at a rate of <code>percent<sub>i</sub></code>. The brackets are <strong>sorted</strong> by upper bound (i.e. <code>upper<sub>i-1</sub> < upper<sub>i</sub></code> for <code>0 < i < brackets.length</code>).</p>\n\n<p>Tax is calculated as follows:</p>\n\n<ul>\n\t<li>The first <code>upper<sub>0</sub></code> dollars earned are taxed at a rate of <code>percent<sub>0</sub></code>.</li>\n\t<li>The next <code>upper<sub>1</sub> - upper<sub>0</sub></code> dollars earned are taxed at a rate of <code>percent<sub>1</sub></code>.</li>\n\t<li>The next <code>upper<sub>2</sub> - upper<sub>1</sub></code> dollars earned are taxed at a rate of <code>percent<sub>2</sub></code>.</li>\n\t<li>And so on.</li>\n</ul>\n\n<p>You are given an integer <code>income</code> representing the amount of money you earned. Return <em>the amount of money that you have to pay in taxes.</em> Answers within <code>10<sup>-5</sup></code> of the actual answer will be accepted.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> brackets = [[3,50],[7,10],[12,25]], income = 10\n<strong>Output:</strong> 2.65000\n<strong>Explanation:</strong>\nBased on your income, you have 3 dollars in the 1<sup>st</sup> tax bracket, 4 dollars in the 2<sup>nd</sup> tax bracket, and 3 dollars in the 3<sup>rd</sup> tax bracket.\nThe tax rate for the three tax brackets is 50%, 10%, and 25%, respectively.\nIn total, you pay $3 * 50% + $4 * 10% + $3 * 25% = $2.65 in taxes.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> brackets = [[1,0],[4,25],[5,50]], income = 2\n<strong>Output:</strong> 0.25000\n<strong>Explanation:</strong>\nBased on your income, you have 1 dollar in the 1<sup>st</sup> tax bracket and 1 dollar in the 2<sup>nd</sup> tax bracket.\nThe tax rate for the two tax brackets is 0% and 25%, respectively.\nIn total, you pay $1 * 0% + $1 * 25% = $0.25 in taxes.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> brackets = [[2,50]], income = 0\n<strong>Output:</strong> 0.00000\n<strong>Explanation:</strong>\nYou have no income to tax, so you have to pay a total of $0 in taxes.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= brackets.length <= 100</code></li>\n\t<li><code>1 <= upper<sub>i</sub> <= 1000</code></li>\n\t<li><code>0 <= percent<sub>i</sub> <= 100</code></li>\n\t<li><code>0 <= income <= 1000</code></li>\n\t<li><code>upper<sub>i</sub></code> is sorted in ascending order.</li>\n\t<li>All the values of <code>upper<sub>i</sub></code> are <strong>unique</strong>.</li>\n\t<li>The upper bound of the last tax bracket is greater than or equal to <code>income</code>.</li>\n</ul>\n",
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"As you iterate through the tax brackets, keep track of the previous tax bracket’s upper bound in a variable called prev. If there is no previous tax bracket, use 0 instead.",
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"The amount of money in the ith tax bracket is min(income, upperi) - prev."
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