from typing import Dict from collections import defaultdict class SmallestPrimeFactors: def __init__(self, n: int) -> None: self.spf = list(range(n + 1)) self.spf[0] = -1 self.spf[1] = -1 for i in range(2, int(n ** 0.5) + 1): if self.spf[i] == i: for j in range(i * i, n + 1, i): if self.spf[j] == j: self.spf[j] = i def is_prime(self, x: int) -> bool: assert x < len(self.spf) return self.spf[x] == x def factor(self, x: int) -> Dict[int, int]: assert x < len(self.spf) if x < 2: return {} res = defaultdict(int) while True: if x < 2 or self.is_prime(x): if x != 1: res[x] += 1 break s = self.spf[x] while x % s == 0: x //= s res[s] += 1 return res def f(x): res = 1 for v in spf.factor(x).values(): res *= v + 1 return x - res x = int(input()) spf = SmallestPrimeFactors(x) ans = [] cur_min = 1 << 62 for i in range(1, x // 2 + 1): a, b = i, x - i tmp = abs(f(a) - f(b)) if tmp < cur_min: ans = [(a, b), (b, a)] if a != b else [(a, b)] cur_min = tmp elif tmp == cur_min: ans += [(a, b), (b, a)] if a != b else [(a, b)] for a, b in sorted(ans): print(a, b)