1002. A+B for Polynomials (25)
2016-04-05 13:15
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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
Sample Output
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
//要考虑所有的情况,第一个多项式为零,和第二个多项式为零,以及两个想加为零的情况 #include<iostream> #include<vector> #include <iomanip> using namespace std; typedef struct plo { int expo; float coef; }plo; int main() { vector<plo> vec1; vector<plo>::iterator iter; int expo,num1=0,num11=0,num2=0,flag=0,flag1=1; float coef; cin>>num1; num11=num1; while(num11>0) { plo plo1; cin>>plo1.expo>>plo1.coef; vec1.push_back(plo1); num11--; } cin>>num2; while(num2>0) { flag1=1; flag=0; cin>>expo>>coef; if(num1==0)//如果第一个多项式为零,则将第二个多项式所有的都存入向量 { plo plo1; plo1.expo=expo; plo1.coef=coef; vec1.push_back(plo1); } else { for(int i=0;i<vec1.size();i++)//分三种情况,第一种就是第二个多项式中的一个项在第一个多项式中有相同的项 { if((vec1[i]).expo==expo) { (vec1[i]).coef+=coef; if(vec1[i].coef==0)//一定要考虑等于零的情况,如果等于零,则将该项删除 vec1.erase(vec1.begin()+i); flag=1;//设置标志为1 } } for(int i=0;i<vec1.size();i++)//用索引,如果用迭代器则再插入元素后,迭代器失效, { if(flag==1) { break; } if((vec1[i]).expo<expo)//第二种情况,第二个多项式中的某一项在第一个多项式中没有,则直接将该项插入相应的位置 { flag1=0; plo plo1; plo1.expo=expo; plo1.coef=coef; vec1.insert(vec1.begin()+i,plo1); break; } } if(flag1==1&&flag!=1)//第三种情况,第二个多项式中的某一项直接放在向量的最后面,如1 100 3.0,2 30 3.0 20 2.0 { plo plo1; plo1.expo=expo; plo1.coef=coef; vec1.push_back(plo1); } } num2--; } cout<<vec1.size();//输出时候要注意最后面一个不要空格,当相加后的结果为0时,直接输出0即可 if(vec1.size()!=0) { cout<<' '; } for(iter=vec1.begin();iter!=vec1.end();iter++) { cout<<(*iter).expo<<" "<<fixed<<setprecision(1)<<(*iter).coef; if(iter<vec1.end()-1) cout<<" "; } }
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