unusualnow的温馨小窝

在数学书我们曾经学过求多项式系数的问题吧,但是编程上怎么办呢? 先给一道例题看看吧Easy Task

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:(1) (C)’=0 where C is a constant. (2) (Cx^n)’=C*n*x^(n-1) where n>=1 and C is a constant. (3) (f1(x)+f2(x))’=(f1(x))’+(f2(x))’.It is easy to prove that the derivation a polynomial is also a polynomial.

Here comes the problem, given a polynomial f(x) with non-negative coefficients, can you write a program to calculate the derivation of it?

Input

Standard input will contain multiple test cases. The first line of the input is a single integerT (1 <= T <= 1000) which is the number of test cases. And it will be followed byT 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 integerN (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)

Output

For each test case calculate the result polynomial g(x) also in a single line.(1) If g(x) = 0 just output integer 0.otherwise (2) suppose g(x)= Cmx^m+Cm-1x^(m-1)+…+C0 (Cm!=0),then output the integersCm,Cm-1,…C0.(3) There is a single space between two integers but no spaces after the last integer.

Sample Input

301023 2 1310 0 1 2

Sample Output

06 230 0 1这道例题的意思是先给你一个T,然后是有T组测试样例,然后给你一个n,表示有n+1个数,让你求多项式的系数,注意,如果n=0,输出的是0.下面给代码喽<span style="font-size:14px;color:#000000;">#include<stdio.h>int main(){int t, n, i, j, a[1000], b[1000];while(~scanf("%d", &t)){for(i=0;i<t;i++){scanf("%d", &n);for(j=0;j<=n;j++){scanf("%d", &a[j]);b[j]=a[j]*(n-j);}if(n==0){printf("0");}else{for(j=0;j<n;j++){printf("%d", b[j]);if(j!=n-1){printf(" ");}}}printf("\n");}}return 0;}</span>题目是比较简单,但是,还是水平有限,继续努力吧,,加油!

人生的失败往往是在关键时刻少了坚持。

unusualnow的温馨小窝

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