PolynomialGuess | Topcoder Archive

Problem Statement

The function f is a polynomial of degree at most 5. In other words, there are some integers c₀ through c₅ (some of them possibly zero) such that for all x we have the following:

f(x) = c₀ + c₁ * x + c₂ * x² + ... + c₅ * x⁵

You are given the int[] p with the following meaning: for each i between 0 and 5, inclusive, f(i) = p[i].

Compute and return f(6).

Definition

Class:: PolynomialGuess
Method:: findValue
Parameters:: int[]
Returns:: int
Method signature:: int findValue(int[] p)
(be sure your method is public)

Constraints

p will have exactly 6 elements.
Each element of p will be between -100 and 100, inclusive.

Examples

```
{10,11,12,13,14,15}
```
```
Returns: 16
```
This is the linear function f(x) = x + 10.
```
{2,5,7,12,19,31}
```
```
Returns: 64
```

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