1009 Product of Polynomials
This time, you are supposed to find A×B where A and B are two polynomials.
Input Specification:
Each input file contains one test case. Each case occupies 2 lines, and each line contains the information of a polynomial:
K N1 aN1 N2 aN2 … NK aNK
where K is the number of nonzero terms in the polynomial, Ni and aNi (i=1,2,⋯,K) are the exponents and coefficients, respectively. It is given that 1≤K≤10, 0≤NK<⋯<N2<N1≤1000.
Output Specification:
For each test case you should output the product of A and B in one line, with the same format as the input. Notice that there must be NO extra space at the end of each line. Please be accurate up to 1 decimal place.
Sample Input:
2 1 2.4 0 3.2
2 2 1.5 1 0.5
Sample Output:
3 3 3.6 2 6.0 1 1.6
解答
#include <bits/stdc++.h>
const int max_n = 2001;
double arr[max_n] = {0};
struct Poly
{
int exp; //指数
double coeff; //系数
} poly[1001]; //第一个多项式
int main()
{
int K1, K2; //第一,二个多项式非零项的项数
int exponents; //指数
double coefficients; //系数
//读入第一个多项式
scanf("%d", &K1);
for (int i = 0; i < K1; i++)
{
scanf("%d%lf", &poly[i].exp, &poly[i].coeff);
}
//读入第二个多项式
scanf("%d", &K2);
for (int i = 0; i < K2; i++)
{
scanf("%d%lf", &exponents, &coefficients);
//与第一个多项式相乘
//系数相乘,指数相加
for (int j = 0; j < K1; j++)
{
arr[exponents + poly[j].exp] += (coefficients * poly[j].coeff);
}
}
//计算非零系数项的个数
int count = 0;
for (int i = 0; i < max_n; i++)
{
if (arr[i] != 0)
count++;
}
//输出多项式
printf("%d", count);
for (int i = max_n; i >= 0; i--)
{
if (arr[i] != 0)
printf(" %d %.1lf", i, arr[i]);
}
return 0;
}
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