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社区首页 >专栏 >【PAT】甲级1002 - A+B for Polynomials(多项式加法)

【PAT】甲级1002 - A+B for Polynomials(多项式加法)

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FishWang
发布2025-08-27 12:16:08
发布2025-08-27 12:16:08
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题目链接:点击打开题目


1002.A+B for 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

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


以前用链表来写,现在学会用vector,更方便了。


代码如下:

代码语言:javascript
代码运行次数:0
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#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<iostream>
#include<cmath>
#include<queue>
#include<stack>
#include<vector>
using namespace std;
typedef long long LL;
#define CLR(a,b) memset(a,b,sizeof(a))
#define INF 0x3f3f3f3f
struct Node
{
    double a;
    int k;
    bool friend operator < (Node a,Node b)
    {
        return a.k > b.k;
    }
};
int main()
{
    vector<Node> A;
    vector<Node> B;
    vector<Node> ans;
    Node p;
    int n,k;
    double a;
    cin >> n;
    for (int i = 1 ; i <= n ; i++)
    {
        cin >> p.k >> p.a;
        A.push_back(p);
    }
    cin >> n;
    for (int i = 1 ; i <= n ; i++)
    {
        cin >> p.k >> p.a;
        B.push_back(p);
    }
    sort(A.begin(),A.end());
    sort(B.begin(),B.end());
    //=================
//  for (int i = 0 ; i < B.size() ; i++)
//      cout << ' ' << B[i].k << ' ' << B[i].a;
//  cout << endl;
    //=================
    int posA = 0;
    int posB = 0;
    while (posA != A.size() || posB != B.size())
    {
        if (posA == A.size())
        {
            p.k = B[posB].k;
            p.a = B[posB].a;
            if (p.a != 0)
                ans.push_back(p);
            posB++;
        }
        else if (posB == B.size())
        {
            p.k = A[posA].k;
            p.a = A[posA].a;
            if (p.a != 0)
                ans.push_back(p);
            posA++;
        }
        else if (A[posA].k == B[posB].k)
        {
            p.k = A[posA].k;
            p.a = A[posA].a + B[posB].a;
            if (p.a != 0)
                ans.push_back(p);
            posA++;
            posB++;
        }
        else if (A[posA].k > B[posB].k)
        {
            p.k = A[posA].k;
            p.a = A[posA].a;
            if (p.a != 0)
                ans.push_back(p);
            posA++;
        }
        else    //A[posA].k < B[posB].k
        {
            p.k = B[posB].k;
            p.a = B[posB].a;
            if (p.a != 0)
                ans.push_back(p);
            posB++;
        }
    }
    cout << ans.size();
    for (int i = 0 ; i < ans.size() ; i++)
        printf (" %d %.1lf",ans[i].k,ans[i].a);
    cout << endl;
    return 0;
}
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原始发表:2025-08-26,如有侵权请联系 cloudcommunity@tencent.com 删除

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