import sys from collections import defaultdict, deque def main(): N = int(sys.stdin.readline()) if N == 0: print() return # Sieve of smallest prime factors max_n = N min_prime_factor = [0] * (max_n + 1) for i in range(2, max_n + 1): if min_prime_factor[i] == 0: min_prime_factor[i] = i for j in range(i*i, max_n +1, i): if min_prime_factor[j] == 0: min_prime_factor[j] = i # Function to compute square-free part def compute_square_free(n): if n == 1: return 1 res = 1 while n > 1: p = min_prime_factor[n] count = 0 while n % p == 0: count += 1 n = n // p if count % 2 == 1: res *= p return res # Group numbers by their square-free part groups = defaultdict(list) for i in range(1, N+1): s = compute_square_free(i) groups[s].append(i) # Sort each group in descending order and convert to deque for s in groups: lst = sorted(groups[s], reverse=True) groups[s] = deque(lst) # Generate the permutation P = [] for i in range(1, N+1): s = compute_square_free(i) val = groups[s].popleft() P.append(str(val)) print(' '.join(P)) if __name__ == "__main__": main()