= ((x + a[1]) * (x + a[2]) * (x + a[3]) ... (x + a[k])) / d You do not know the value of d. You do not know the values for a[1] ... a[k]. You only know that each (a[i] ≥ 0) and (d > 0) and you can assume that the product in the numerator is evenly divisible by the integer value d. You can assume that the numerator can be represented by a 32-bit integer. But you know that the formula for n[x] is a polynomial function of degree k and you know the value of k+2 points for this function. Based on this information, you actually have enough information to calculate the next number n[k+3] in the sequence! This is your task. Input The first line will contain a single positive integer by itself that represents the value k. The second line will consist of (k+2) integer values separated from each other by a single space. The values on the second line represent the series n[1] through n[k+2]. The input must be read from standard input. Output The output of program should display a single integer on a line by itself representing the value for n[k+3]. The output must be written to standard output. Sample Input #1 First Line : 1 Second Line : 3 4 5 Output : 6 Sample Input #2 First Line : 2 Second Line : 1 3 6 10 Output : 15 I dont even understand why this problem is solvable when there is an unknown variable(d) and another function in the sequence(a[x]) and how to get the value of n(k+3)