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EIAPP21222FQ3 - EIUSAVING 3

Normally, interest rates for saving deposits depend on how long the deposits are (see the table below).

Number of months

Interest rates (each 12 months)

1

3.90%

2

3.92%

3

3.95%

4

3.99%

5

4.04%

6

5.54%

7

5.72%

8

5.92%

9

6.14%

10

6.38%

11

6.64%

12

6.92%

Minh monthly deposits the same amount of money (Dong) into a savings account. Interest will be added to account at the end of each month (not round).

 He wants to receive N (Dong) after M months. Calculate the amount of money Minh should deposit into his account.

Input

The first line contains 2 integers N, M (0 < N ≤ 1015, 0 < M ≤ 1000).

Output

The required amount of money (round to 4 decimals places). (Allow relative error of 10-2)

Sample

Input

Output

70000 4

17356.9857


Added by:Ha Minh Ngoc
Date:2022-03-27
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: GOSU
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