19 December 2017

UVA 106 Fermat vs. Pythagoras

/***
Md. Nazmul Hasan
Shahjalal University of Science & Technology,Sylhet.
hasan08sust@gmail.com
***/
#include<iostream>
#include<cstdio>
#include<stack>
#include<queue>
#include<map>
#include<vector>
#include<algorithm>
#include<cstring>
#include<sstream>
#include<cmath>
#include <iomanip>
using namespace std ;
typedef long long ll ;
typedef int in ;
typedef unsigned long long ull ;
const double pi = 2*acos(0) ;
#define maxi 40000
#define pf printf
#define sc scanf
#define pb push_back
#define MEM(x,y) (memset((x),(y),sizeof(x)))
#define MIN(x,y) ((x) < (y) ? (x) : (y))
#define MAX(x,y) ((x) > (y) ? (x) : (y))
#define load(array,size) for(int i=0 ; i<size ; i++) cin>>array[i] ;
#define new_line pf("\n")
#define clear_data(array) memset(array,0,sizeof(array))
#define highest_int 2147483647
int data[1000001];
int gcd(int a, int b)
{
if (a == 0 || b == 0)
return 0;
if (a == b)
return a;
if (a > b)
return gcd(a-b, b);
return gcd(a, b-a);
}
void finding_value(int n)
{
int tri=0 , total=0,up,y,x,z;
memset(data,0,sizeof(data));
int m = sqrt(n);
if(m*m<n)
m++;
for(int r=1 ; r<=m ; r++)
{
up = min((n-r*r),r-1);
for(int s=1 ; s<=up ; s++)
{
x = r*r-s*s;
y = 2*r*s;
z = r*r + s*s;
if(x*x + y*y == z*z && z<=n)
{
if(gcd(x,y)==1)
{
tri++;
for(int k=1 ; k*z<=n ; k++)
{
data[k*x] =1;
data[k*y] =1;
data[k*z] =1;
}
}
}
}
}
for(int k=1 ; k<=n ; k++)
{
if(data[k]==0)
total++;
data[k]=0;
}
pf("%d %d\n",tri,total);
}
int main()
{
int n;
while(sc("%d",&n)==1)
{
finding_value(n);
}
return 0;
}

No comments:

Post a Comment

UVA 10679 - I Love Strings!!