ZOJ Problem Set - 2969
Calculating the derivation of a polynomial is an easy task.
Given a function f(x) , we use (f(x))' to denote its derivation.
We use x^n to denote xn. To calculate the derivation of a polynomial, you should know 3 rules:
Here comes the problem, given a polynomial f(x) with non-negative coefficients, can you write a program to calculate the derivation of it?
Standard input will contain multiple test cases. The first line of the input is a single integer T (1 <= T <= 1000) which is the number of test cases. And it will be followed by T consecutive test cases.
There are exactly 2 lines in each test case. The first line of each test case is a single line containing an integer N (0 <= N <= 100). The second line contains N + 1 non-negative integers, CN, CN-1, ..., C1, C0, ( 0 <= Ci <= 1000), which are the coefficients of f(x). Ci is the coefficient of the term with degree i in f(x). (CN!=0)
For each test case calculate the result polynomial g(x) also in a single line.
3 0 10 2 3 2 1 3 10 0 1 2
0 6 2 30 0 1
Author: CAO, Peng
Source: The 5th Zhejiang Provincial Collegiate Programming Contest