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:
\n\nupper0 dollars earned are taxed at a rate of percent0.upper1 - upper0 dollars earned are taxed at a rate of percent1.upper2 - upper1 dollars earned are taxed at a rate of percent2.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.
\n
Example 1:
\n\n\nInput: brackets = [[3,50],[7,10],[12,25]], income = 10\nOutput: 2.65000\nExplanation:\nBased 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.\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\n\n
Example 2:
\n\n\nInput: brackets = [[1,0],[4,25],[5,50]], income = 2\nOutput: 0.25000\nExplanation:\nBased on your income, you have 1 dollar in the 1st tax bracket and 1 dollar in the 2nd 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\n\n
Example 3:
\n\n\nInput: brackets = [[2,50]], income = 0\nOutput: 0.00000\nExplanation:\nYou have no income to tax, so you have to pay a total of $0 in taxes.\n\n\n
\n
Constraints:
\n\n1 <= brackets.length <= 1001 <= upperi <= 10000 <= percenti <= 1000 <= income <= 1000upperi is sorted in ascending order.upperi are unique.income.给你一个下标从 0 开始的二维整数数组 brackets ，其中 brackets[i] = [upperi, percenti] ，表示第 i 个税级的上限是 upperi ，征收的税率为 percenti 。税级按上限 从低到高排序（在满足 0 < i < brackets.length 的前提下，upperi-1 < upperi）。
税款计算方式如下：
\n\nupper0 的收入按税率 percent0 缴纳upper1 - upper0 的部分按税率 percent1 缴纳upper2 - upper1 的部分按税率 percent2 缴纳给你一个整数 income 表示你的总收入。返回你需要缴纳的税款总额。与标准答案误差不超 10-5 的结果将被视作正确答案。
\n\n
示例 1：
\n\n输入：brackets = [[3,50],[7,10],[12,25]], income = 10\n输出：2.65000\n解释：\n前 $3 的税率为 50% 。需要支付税款 $3 * 50% = $1.50 。\n接下来 $7 - $3 = $4 的税率为 10% 。需要支付税款 $4 * 10% = $0.40 。\n最后 $10 - $7 = $3 的税率为 25% 。需要支付税款 $3 * 25% = $0.75 。\n需要支付的税款总计 $1.50 + $0.40 + $0.75 = $2.65 。\n\n\n
示例 2：
\n\n输入：brackets = [[1,0],[4,25],[5,50]], income = 2\n输出：0.25000\n解释：\n前 $1 的税率为 0% 。需要支付税款 $1 * 0% = $0 。\n剩下 $1 的税率为 25% 。需要支付税款 $1 * 25% = $0.25 。\n需要支付的税款总计 $0 + $0.25 = $0.25 。\n\n\n
示例 3：
\n\n输入：brackets = [[2,50]], income = 0\n输出：0.00000\n解释：\n没有收入，无需纳税，需要支付的税款总计 $0 。\n\n\n
\n\n
提示：
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