#include <bits/stdc++.h>
using namespace std;
const int r_max = 2500;

int min_p[r_max + 10];
int use_p[20];

int gcd(int a, int b){
	if(b == 0)return a;
	return gcd(b, a % b);
}

int lcm(int a, int b){
	return a / gcd(a, b) * b;
}

int max_m(int L, int n){
	int m = (int)((sqrt(2 * L + 4 * n * n) - 2 * n) / 4) - 2;
	m = max(n + 1, m);

	while(8 * m * (n + m) <= L)++m;
	--m;

	return m;
}

int solve(int size, int upper){
	if(use_p[0] != 2)upper /= 2;

	int res = upper;
	for(int mask=1;mask<1<<size;mask++){
		int L = 1;
		int cnt = 0;

		for(int i=0;i<size;i++)if((mask >> i) & 1){
			L = lcm(L, use_p[i]);
			++cnt;
		}

		if(cnt % 2 == 1){
			res -= upper / L;
		} else {
			res += upper / L;
		}
	}

	return res;
}

int solve(int L){
	int res = max_m(L, 1) / 2;

	for(int n=2;8*(n+1)*(2*n+1)<=L;n++){
		int size = 0;
		use_p[size++] = min_p[n];

		int t = n / min_p[n];
		while(t > 1){
			if(use_p[size-1] != min_p[t]){
				use_p[size++] = min_p[t];
			}
			t /= min_p[t];
		}

		res += solve(size, max_m(L, n)) - solve(size, n);
	}

	return (res % 1000003);
}

int main(){
	for(int n=2;n<=r_max;n++)min_p[n] = n;

	for(int p=2;p*p<=r_max;p++)if(min_p[p] == p){
		for(int kp=p*p;kp<=r_max;kp+=p)if(p < min_p[kp]){
			min_p[kp] = p;
		}
	}

	int L;
	cin >> L;

	cout << solve(L) << endl;
	return 0;
}