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EIAPP24253FQ4 - Home Strategy |
Andy wants to buy a house and can save X amount each month. He will save monthly with interest until he has enough for a 30% down payment of the current house price. Once he has the down payment, he buys the house by taking a loan for the remaining amount and uses the same monthly amount X to repay the loan.
The entire process must be completed within exactly N months from the start.
The initial house price is P0, and it increases at a monthly rate of fi. The value of fi changes every 5 years.
Andy's monthly savings earn interest at rate ri, which also changes every 5 years.
The loan has a fixed monthly interest rate of c.
Given the parameters N, P0, c, and 8 values each for fi and ri, calculate the minimum monthly amount X.
Input
First line: Three values N, P0, and c
- N: Total number of months (integer, N ≤ 480)
- P0: Initial house price in VND (long integer)
- c: Monthly government subsidy interest rate (decimal)
Second line: 8 decimal numbers representing the monthly house price increase rates fi
Third line: 8 decimal numbers representing the monthly savings interest rates ri
Output
A single integer X, representing the minimum monthly amount Andy needs (rounded to the nearest integer).
Example
|
Input |
Output |
|
240 2800000000 0.0042 0.0065 0.0058 0.0051 0.0047 0.0043 0.0041 0.0039 0.0037 0.0045 0.0041 0.0038 0.0037 0.0035 0.0034 0.0033 0.0032 |
20630021 |
| Added by: | Ha Minh Ngoc |
| Date: | 2025-07-17 |
| Time limit: | 1s |
| Source limit: | 50000B |
| Memory limit: | 1536MB |
| Cluster: | Cube (Intel G860) |
| Languages: | CSHARP C++ 4.3.2 CPP CPP14 CPP14-CLANG FSHARP GO JAVA JS-MONKEY NODEJS PHP PYTHON PYPY PYPY3 PYTHON3 RUBY SQLITE SWIFT VB.NET |
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