pat 甲级 1009. Product of Polynomials (25)
2018-03-10 11:14
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1009. Product of Polynomials (25)
时间限制400 ms
内存限制
65536 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue
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 思路:多项式相乘,模拟即可,要注意的是最终结果中系数为0的项不需要输出。 AC代码:
#define _CRT_SECURE_NO_DEPRECATE #include<iostream> #include<algorithm> #include<cmath> #include<cstring> #include<string> #include<set> #include<queue> using namespace std; #define INF 0x3f3f3f #define N_MAX 30+5 #define M_MAX 2001 struct x { int exp; double coef = 0; bool vis = 0; }; x poly1[N_MAX],poly2[N_MAX]; x poly[M_MAX]; int n1, n2; int main() { cin >> n1; for (int i = 0; i < n1; i++)cin >> poly1[i].exp >> poly1[i].coef; cin >> n2; for (int i = 0; i < n2; i++)cin >> poly2[i].exp >> poly2[i].coef; for (int i = 0; i < n1;i++) { for (int j = 0; j < n2;j++) { int exp = poly1[i].exp + poly2[j].exp; poly[exp].vis = 1; poly[exp].exp= exp; poly[exp].coef+= poly1[i].coef*poly2[j].coef; } } int num = 0; //系数为0的项不用输出!!!!!!!!! for (int i = M_MAX-1; i >= 0; i--) if (poly[i].vis&&poly[i].coef!=0) num++; cout << num << " "; for (int i = M_MAX-1; i >=0;i--) { if (poly[i].vis&&poly[i].coef != 0) { num--; printf("%d %.1f%c",poly[i].exp,poly[i].coef,num==0?'\n':' '); } } return 0; }
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