#!/usr/bin/env python3 # %% import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines # %% import numpy as np # %% def prime_table(N): """Create prime table of interval [0, N) Parameters ---------- N : int Upper bound. N must be >= 2. Returns ------- tuple of two arrays. is_prime: is_prime[i] = True iff i is prime. primes: primes[i] = (i+1)-th prime """ is_prime = np.zeros(N, np.bool_) is_prime[2] = 1 is_prime[3::2] = 1 for p in range(3, N, 2): if p * p > N: break if is_prime[p]: is_prime[p * p::p + p] = 0 primes = np.where(is_prime)[0] return is_prime, primes # %% K = int(readline()) if K == 0: print(1) print(1) exit() # %% is_prime, primes = prime_table(10 ** 4) # %% n = 0 while (n + 1) * (n + 2) // 2 <= K and n < 100: n += 1 C = [1] * n + [2] rest = K - n * (n + 1) // 2 k = rest // n C += [4] * k rest -= n * k # %% primes = primes[~(is_prime[primes + 2])] C += (primes[10:10 + rest] - 2).tolist() print(len(C)) print(*C)