#include<bits/stdc++.h>
#define ALL(v) std::begin(v),std::end(v)
using lint=long long;
using lubl=long double;
int main(){
    std::cin.tie(nullptr);std::ios_base::sync_with_stdio(false);
    std::cout.setf(std::ios_base::fixed);std::cout.precision(15);
    lint l;std::cin>>l;l/=4;
    lint ans=0;
    for(lint i=1;i*i<=l/2;i++){
        for(lint j=i+1;i*i+j*j<=l/2;j+=2){
            if(std::gcd(i,j)!=1)continue;
            lint a=j*j-i*i,b=2*i*j,c=i*i+j*j;
            if(l<a+b+c)break;
            ans++;
        }
    }
    std::cout<<ans%1000003<<'\n';
}