杭电 3835 R(N)
2011-11-14 11:28 javaspring 阅读(231) 评论(0) 编辑 收藏 举报记得暑假时写这道题时没写出来,,纠结了好久,一直超时,,这次写这道题,,花了一个小时ac了,,,,这算是进步了??????题目:
R(N)
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1045 Accepted Submission(s): 539
Problem Description
We know that some positive integer x can be expressed as x=A^2+B^2(A,B are integers). Take x=10 for example,
10=(-3)^2+1^2.
We define R(N) (N is positive) to be the total number of variable presentation of N. So R(1)=4, which consists of 1=1^2+0^2, 1=(-1)^2+0^2, 1=0^2+1^2, 1=0^2+(-1)^2.Given N, you are to calculate R(N).
10=(-3)^2+1^2.
We define R(N) (N is positive) to be the total number of variable presentation of N. So R(1)=4, which consists of 1=1^2+0^2, 1=(-1)^2+0^2, 1=0^2+1^2, 1=0^2+(-1)^2.Given N, you are to calculate R(N).
Input
No more than 100 test cases. Each case contains only one integer N(N<=10^9).
Output
For each N, print R(N) in one line.
Sample Input
2 6 10 25 65
Sample Output
4 0 8 12 16HintFor the fourth test case, (A,B) can be (0,5), (0,-5), (5,0), (-5,0), (3,4), (3,-4), (-3,4), (-3,-4), (4,3) , (4,-3), (-4,3), (-4,-3)
#include <iostream> #include <cstdio> #include <string.h> #include <string> #include <cmath> using namespace std; class countn{ public: /*countn(int x){ num=x; }*/ void calculate(); void setvalue(int x); private: int num; }; void countn::setvalue(int x){ num=x; } void countn::calculate(){ int flag[100010]; memset(flag,0,sizeof(flag)); int xx=0; int yy=(int)sqrt((double)num); for(int i=0;i<=yy;++i){ //flag[i]=1; int y=num-i*i; int newy=sqrt((double)y); if(flag[i]==1&&flag[newy]==1&&i!=newy) continue; flag[newy]=1; flag[i]=1; if(newy*newy+i*i==num){ if(newy&&i&&newy!=i){ xx+=8; } else{ xx+=4; } } } printf("%d\n",xx); } int main(){ //freopen("1.txt","r",stdin); int n; countn mycountn; while(scanf("%d",&n)!=EOF){ mycountn.setvalue(n); mycountn.calculate(); } return 0; }