You are given a 0indexed 2D integer array brackets
where brackets[i] = [upper_{i}, percent_{i}]
means that the i^{th}
tax bracket has an upper bound of upperi and is taxed at a rate of percent_{i}
. The brackets are sorted by upper bound (i.e. upper_{i1} < upper_{i}
for 0 < i < brackets.length
).
Tax is calculated as follows:
 The first
upper_{0}
dollars earned are taxed at a rate ofpercent_{0}
.  The next
upper_{1}  upper_{0}
dollars earned are taxed at a rate ofpercent_{1}
.  The next
upper_{2}  upper_{1}
dollars earned are taxed at a rate ofpercent_{2}
.  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 <= upper_{i} <= 1000
0 <= percent_{i} <= 100
0 <= income <= 1000
upper_{i}
is sorted in ascending order. All the values of
upper_{i}
are unique.  The upper bound of the last tax bracket is greater than or equal to
income
.

