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  • HDU1496 Equations 卡时间第二题

    Consider equations having the following form: 

    a*x1^2+b*x2^2+c*x3^2+d*x4^2=0 
    a, b, c, d are integers from the interval [-50,50] and any of them cannot be 0. 

    It is consider a solution a system ( x1,x2,x3,x4 ) that verifies the equation, xi is an integer from [-100,100] and xi != 0, any i ∈{1,2,3,4}. 

    Determine how many solutions satisfy the given equation. 

    InputThe input consists of several test cases. Each test case consists of a single line containing the 4 coefficients a, b, c, d, separated by one or more blanks. 
    End of file.OutputFor each test case, output a single line containing the number of the solutions. 
    Sample Input

    1 2 3 -4
    1 1 1 1

    Sample Output

    39088
    0


    #include<cstdio>
    #include<cstdlib>
    #include<iostream>
    #include<algorithm>
    #include<memory>
    #include<map>
    #include<cstring>
    using namespace std;
    int a,b,c,d;
    int q[4000000];
    int main()
    {
        int i,j,k,ans;
        while(cin>>a>>b>>c>>d){
            ans=0;
            if(a>0&&b>0&&c>0&&d>0){
              printf("0
    ");
              continue;
            }
            if(a<0&&b<0&&c<0&&d<0){ 
              printf("0
    ");
              continue;
            }
            memset(q,0,sizeof(q));
            for(i=1;i<=100;i++)
             for(j=1;j<=100;j++)
               q[i*i*a+j*j*b+1000000]++;
            for(i=1;i<=100;i++)
             for(j=1;j<=100;j++)
               ans+=q[1000000-i*i*c-j*j*d];
            printf("%d
    ",ans*16);
        }
        return 0;
    }
    View Code
    
    
    #include<cstdio>
    #include<cstdlib>
    #include<iostream>
    #include<algorithm>
    #include<memory>
    #include<map>
    using namespace std;
    int a,b,c,d;
    map<int,int>q;
    int main()
    {
        int i,j,k,ans;
        while(cin>>a>>b>>c>>d){
            ans=0;
             if(a>0&&b>0&&c>0&&d>0||a<0&&b<0&&c<0&&d<0)  //因为x那项永远是正数,如果系数都为正或者为负的时候明显不等于0  
            {  
                printf("0
    ");  
                continue;  
            } 
            q.clear();
            for(i=1;i<=100;i++)
             for(j=1;j<=100;j++)
               q[i*i*a+j*j*b]++;
            for(i=1;i<=100;i++)
             for(j=1;j<=100;j++)
               ans+=q[-i*i*c-j*j*d];
            printf("%d
    ",ans*16);
        }
        return 0;
    }
    View Code
    
    
    
     
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  • 原文地址:https://www.cnblogs.com/hua-dong/p/7711450.html
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