E - Easy Task
Description
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 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)
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 integers Cm,Cm-1,...C0.
(3) There is a single space between two integers but no spaces after the last integer.
Sample Input
3
0
10
2
3 2 1
3
10 0 1 2
Sample Output
0
6 2
30 0 1
题意就是求导……
没啥好说的
1 #include<iostream> 2 #include<string.h> 3 #include<stdio.h> 4 #include<ctype.h> 5 #include<algorithm> 6 #include<stack> 7 #include<queue> 8 #include<set> 9 #include<math.h> 10 #include<vector> 11 #include<map> 12 #include<deque> 13 #include<list> 14 using namespace std; 15 int main() 16 { 17 int a; 18 cin>>a; 19 for(int i=1;i<=a;i++) 20 { 21 int b; 22 cin>>b; 23 int p=b+1; 24 while(p--) 25 { 26 int c; 27 cin>>c; 28 if(b==0) 29 { 30 printf("0 "); 31 break; 32 } 33 if(p==0) 34 { 35 printf(" "); 36 break; 37 } 38 if(p==1) 39 printf("%d",c*p); 40 else 41 printf("%d ",c*p); 42 } 43 44 } 45 return 0; 46 }