问题描述

小明的公司每个月给小明发工资，而小明拿到的工资为交完个人所得税之后的工资。假设他一个月的税前工资（扣除五险一金后、未扣税前的工资）为S元，则他应交的个人所得税按如下公式计算：

1）个人所得税起征点为3500元，若S不超过3500，则不交税，3500元以上的部分才计算个人所得税，令A=S-3500元；

2） A中不超过1500元的部分，税率3%；

3） A中超过1500元未超过4500元的部分，税率10%；

4） A中超过4500元未超过9000元的部分，税率20%；

5） A中超过9000元未超过35000元的部分，税率25%；

6） A中超过35000元未超过55000元的部分，税率30%；

7） A中超过55000元未超过80000元的部分，税率35%；

8） A中超过80000元的部分，税率45%；

例如，如果小明的税前工资为10000元，则A=10000-3500=6500元，其中不超过1500元部分应缴税1500×3%=45元，超过1500元不超过4500元部分应缴税(4500-1500)×10%=300元，超过4500元部分应缴税(6500-4500)×20%=400元。总共缴税745元，税后所得为9255元。

已知小明这个月税后所得为T元，请问他的税前工资S是多少元。

输入格式

输入的第一行包含一个整数T，表示小明的税后所得。所有评测数据保证小明的税前工资为一个整百的数。

输出格式

输出一个整数S，表示小明的税前工资。

样例输入

样例输出

评测用例规模与约定

对于所有评测用例，1 ≤ T ≤ 100000。

编程语言：Python

解题思想：

1.枚举法

2.将税后工资化为100的整数倍，如9255化为9200，尽可能减少枚举的次数

3.注意判断的细节即可

时间复杂度：O(n)

IDE代码如下：

After = int(input())  # 输入税后工资
for i in range(After // 100 * 100, 100001, 100):
    Exceed = i - 3500  # 需要交税的部分
    if Exceed > 80000:
        Decrease = (Exceed - 80000) * 0.45 + 8750 + 6000 + 6500 + 900 + 300 + 45
    elif 55000 < Exceed <= 80000:
        Decrease = (Exceed - 55000) * 0.35 + 6000 + 6500 + 900 + 300 + 45
    elif 35000 < Exceed <= 55000:
        Decrease = (Exceed - 35000) * 0.3 + 6500 + 900 + 300 + 45
    elif 9000 < Exceed <= 35000:
        Decrease = (Exceed - 9000) * 0.25 + 900 + 300 + 45
    elif 4500 < Exceed <= 9000:
        Decrease = (Exceed - 4500) * 0.2 + 300 + 45
    elif 1500 < Exceed <= 4500:
        Decrease = (Exceed - 1500) * 0.1 + 45
    elif 0 < Exceed <= 1500:
        Decrease = Exceed * 0.03
    else:
        Decrease = 0
    if After + Decrease == i:
        print(i)
        break

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CCF-CSP_20161202:工资计算