import sys
import math

def count_shapes(L):
    mod = 1000003
    if L < 4:
        return 0
    max_total = L // 4  # 因为4*(a + b + c) <= L
    count = 0
    max_m = int(math.sqrt(max_total // 2)) + 1  # 因为 a + b + c = 2m(m + n)
    for m in range(2, max_m + 1):
        for n in range(1, m):
            if math.gcd(m, n) != 1:
                continue
            if (m % 2 == 0 and n % 2 == 0) or (m % 2 != 0 and n % 2 != 0):
                continue
            a = m*m - n*n
            b = 2 * m * n
            if a > b:
                a, b = b, a
            c = m*m + n*n
            total = 4 * (a + b + c)
            if total <= L:
                count += 1
    return count % mod

def main():
    L = int(sys.stdin.readline())
    print(count_shapes(L))

if __name__ == "__main__":
    main()