1002. A+B for Polynomials (25)
题目链接:https://www.patest.cn/contests/pat-a-practise/1002
原题如下:
This time, you are supposed to find A+B where A and B are two polynomials.
Input
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
For each test case you should output the sum 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 to 1 decimal place.
Sample Input
2 1 2.4 0 3.2
2 2 1.5 1 0.5
Sample Output
3 2 1.5 1 2.9 0 3.2
__________________________________________________________________________________________________________________________________________________
这道题我感觉就是一元多项式的加法,因此用了之前文章中的方法,集用两个链表分别存储两行元素,每次比较然后相加,可是有三个测试点超时了……代码如下:
#include<stdio.h>
#include<stdlib.h> typedef struct Node{
struct Node *Next;
int expon;
float coef;
}PNode; void Insert(PNode *P,PNode **PtrRear)
{
//printf("er");
PNode *tmp=(PNode *)malloc(sizeof(struct Node));
tmp->expon=P->expon;tmp->coef=P->coef;tmp->Next=NULL;
(*PtrRear)->Next=tmp;
*PtrRear=tmp;
//printf("sd");
return ;
} PNode * ReadP(int K)
{
int i,e;
float c;
PNode *P1=(PNode *)malloc(sizeof (struct Node)); P1->Next=NULL;
PNode *tmp=(PNode *)malloc(sizeof (struct Node));tmp->Next=NULL;
tmp=P1;
for (i=;i<K;i++)
{
scanf("%d %f",&e, &c);
PNode *P=(PNode*)malloc(sizeof (struct Node));
P->expon =e;P->coef=c;P->Next=NULL;
P1->Next=P;
P1=P;
}
tmp=tmp->Next; return tmp;
} int main()
{
int K1,K2,i;
PNode *rear,*front,*tmp;
rear=(PNode *)malloc(sizeof (struct Node));front=rear;
PNode *P1=(PNode *)malloc(sizeof (struct Node));
PNode *P2=(PNode *)malloc(sizeof (struct Node)); scanf("%d",&K1);P1=ReadP(K1);
scanf("%d",&K2);P2=ReadP(K2); //printf("\n%d %.1lf %d %.1lf",P1->expon,P1->coef,P1->Next->expon,P1->Next->coef); printf("\n%d %.1lf %d %.1lf\n",P2->expon,P2->coef,P2->Next->expon,P2->Next->coef); int cnt=;
while (P1 && P2)
{
if (P1->expon>P2->expon)
{
Insert(P1,&rear);
P1=P1->Next;
cnt++;
}
else if (P1->expon<P2->expon)
{
Insert(P2,&rear);
P2=P2->Next;
cnt++;
}
else if (P1->expon==P2->expon)
{
if (P1->coef+P2->coef)
{
PNode *tmp=(PNode *)malloc(sizeof (struct Node));
tmp->expon=P1->expon;tmp->coef=P1->coef+P2->coef;
tmp->Next=NULL;
Insert(tmp,&rear);
P1=P1->Next;P2=P2->Next;
cnt++;
}
}
}
while (P1){Insert(P1,&rear);P1=P1->Next;cnt++;}
while (P2){Insert(P2,&rear);P2=P2->Next;cnt++;} int flag=;
tmp=front;
front=front->Next;
while (front)
{
if (!flag)
{printf("%d %d %.1f",cnt,front->expon,front->coef);front=front->Next;flag=;}
else
{
printf(" %d %.1f",front->expon,front->coef);front=front->Next;
}
}
free(tmp);
return ;
}
希望哪位朋友能帮忙看下问题在哪……
在网上看了其他人的代码,真是简单精妙啊,直接开一个数组,指数即为数值下标,每个数组的值即为相应的每个指数对应系数的值,代码如下:
#include<stdio.h>
#define MaxN 1001 int main()
{
int K,i,e;
int line=;
int cnt=;
int Maxe=;
double Input[MaxN]={};
double c;
while (line)
{scanf("%d",&K);
for (i=;i<K;i++)
{
scanf("%d %lf",&e,&c);
Input[e]+=c;
if (e>Maxe)Maxe=e;
}
line--;
} for (i=Maxe;i>=;i--)
{
if (Input[i]!=)cnt++;
} printf("%d",cnt);
for (i=Maxe;i>=;i--)
{
if (Input[i]!=)printf(" %d %.1lf",i,Input[i]);
}
return ;
}
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