PAT甲级练习题- A+B for Polynomials (25)

本文介绍了一种多项式加法的实现方法,通过输入两个多项式的系数和指数,计算并输出它们的和。代码采用C++编写,实现了多项式相加的功能,并确保输出结果保留一位小数。

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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





/**
题意:多项式a+b求解,结果保留一位小数,输出时按指数递减输出,
*/

#include<bits/stdc++.h>

using namespace std;
typedef pair<int,int> P;
const int maxn = 1000+10;
const int INF = 0x3f3f3f3f;

double a[maxn],b[maxn];

int main(){
    int k,t;
    
    scanf("%d",&k);
    for(int i = 0;i<k;++i){
        scanf("%d",&t);
        scanf("%lf",&a[t]);
    }
    scanf("%d",&k);
    for(int i = 0;i<k;++i){
        scanf("%d",&t);
        scanf("%lf",&b[t]);
    }

    vector<int> ans;
    for(int i = maxn;i>=0;--i){
        b[i] = a[i]+b[i];
        if(b[i]==0) continue;
        ans.push_back(i);
    }
    cout<<ans.size();
    for(int i = 0;i<ans.size();++i){
        printf(" %d %.1f",ans[i],b[ans[i]]);
    }

    return 0;
}

1002 A+B for Polynomials 是一道编程题目,通常是在考察Java中处理多项式加法的问题。在这个问题中,你需要编写一个程序,让用户输入两个多项式的系数(如a_n*x^n + a_{n-1}*x^{n-1} + ... + a_1*x + a_0的形式),然后计算它们的和,并按照同样的形式表示出来。 在Java中,你可以创建一个`Polynomial`类,包含一个数组来存储系数和最高次数的信息。用户输入的每个多项式可以被解析成这样的结构,然后通过遍历并累加系数来完成加法操作。最后,将结果转换回字符串形式展示给用户。 以下是简化版的代码示例: ```java class Polynomial { int[] coefficients; int degree; // 构造函数,初始化数组 public Polynomial(int[] coeffs) { coefficients = coeffs; degree = coefficients.length - 1; } // 加法方法 Polynomial add(Polynomial other) { Polynomial result = new Polynomial(new int[coefficients.length + other.coefficients.length]); for (int i = 0; i < coefficients.length; ++i) { result.coefficients[i] += coefficients[i]; } for (int i = 0; i < other.coefficients.length; ++i) { result.coefficients[i + coefficients.length] += other.coefficients[i]; } result.degree = Math.max(degree, other.degree); return result; } @Override public String toString() { StringBuilder sb = new StringBuilder(); if (degree >= 0) { for (int i = degree; i >= 0; --i) { sb.append(coefficients[i]).append('*x^').append(i).append(" + "); } // 移除最后一个 " + " sb.setLength(sb.length() - 2); } else { sb.append("0"); } return sb.toString(); } } // 主函数示例 public static void main(String[] args) { Polynomial poly1 = new Polynomial(...); // 用户输入第一个多项式的系数 Polynomial poly2 = new Polynomial(...); // 用户输入第二个多项式的系数 Polynomial sum = poly1.add(poly2); System.out.println("Result: " + sum); } ```
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