PAT甲级1002A+B for Polynomials

题目地址:

编程题 - PAT (Advanced Level) Practice (pintia.cn)

介绍

多项式加法

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 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.

代码

#include<bits/stdc++.h>
using namespace std;
#define ll long long  
#define ull unsigned long long

void solve() {
	double num1[1001];
	bool num2[1001];
	memset(num1,0,sizeof(num1));
	memset(num2,0,sizeof(num2));
	int i,j,n;
	double m;
	cin>>i;
	for(j=1;j<=i;j++)
	{
		cin>>n;
		cin>>m;
		num2[n]=1;
		num1[n]+=m;
	}
	cin>>i;
	for(j=1;j<=i;j++)
	{
		cin>>n;
		cin>>m;
		num2[n]=1;
		num1[n]+=m;
	}
	n=0;
	for(i=0;i<=1000;i++)
	{
		if(num2[i]==1&&num1[i]!=0.0)
		{
			n+=1;
		}
	}
	cout<<n;
	
	for(j=1000;j>=0;j--)
	{
		if(num2[j]&&num1[j]!=0.0)
		{
			cout<<" "<<j;
			printf(" %.1f",num1[j]);
		}
	}
} 

signed main() {

    ll t = 1; 
    // std::cin >> t;
    while (t--) {
        solve();
    }
}

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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