calculate-amount-paid-in-taxes

Calculate Amount Paid in Taxes

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calculateTax

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

Tax is calculated as follows:

<ul>
	<li>The first <code>upper0</code> dollars earned are taxed at a rate of <code>percent0</code>.</li>
	<li>The next <code>upper1 - upper0</code> dollars earned are taxed at a rate of <code>percent1</code>.</li>
	<li>The next <code>upper2 - upper1</code> dollars earned are taxed at a rate of <code>percent2</code>.</li>
	<li>And so on.</li>
</ul>

You are given an integer <code>income</code> representing the amount of money you earned. Return the amount of money that you have to pay in taxes. Answers within <code>10-5</code> of the actual answer will be accepted.

&nbsp;
Example 1:

<pre>
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.
</pre>

Example 2:

<pre>
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.
</pre>

Example 3:

<pre>
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.
</pre>

&nbsp;
Constraints:

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

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