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  • ZOJ 2969 Easy Task


    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 }
    View Code
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  • 原文地址:https://www.cnblogs.com/qscqesze/p/3851785.html
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